Computer Science

Core Goals:

Quantitative Literacy

• Interpretation: Students will have the ability to explain information presented in mathematical and computational forms. (Introduced)
• Students will learn to represent integers, real numbers and text in binary code. They will also learn binary arithmetics.
• Students will learn to read computer code.
• Representation: Students will be able to convert information into mathematical and computational forms analytically and/or using computational tools. (Introduced)
• Students will design and implement computer programs using Javascripts.
• Analysis: Students will be able to draw appropriate conclusions using mathematical or computational reasoning and understand the limits of such conclusions and the assumptions on which they are based. (Introduced)
• Students will analyse and understand binary data.
• Communication: Students will be able to communicate quantitative ideas in the languages of mathematics, computer science, or quantitative social sciences and will be able to utilize quantitative information in support of an argument. (Introduced)
• Students will design solutions to algorithmic problems. Then, they will implement their solutions on a web site using several technologies and computer languages, such as HTML, CSS and Javascript.

General Education Goals:

Quan. & Comp. Reasoning

• Translate problems into the language of mathematics and computer science, and solve them by using mathematical and computational methods and tools (Introduced)
• Studends will learn to write JavaScript programs to create interactive web sites.
• Understand the structure and development of logical arguments (Introduced)
• Students will develop algorithms to solve problems.

Program Goals:

Interdisc Computer Science Program Goals

• Design and write a correct computer program. (Introduced, Practiced)
• Ability to create an algorithm that provides a solution in accordance with the problem specifications and then to take that algorithm and encode it in a formal computing language including testing and debugging the program.
• Using introductory software engineering principles, develop a prototype for a graphical user interface that meets the problem specifications and anticipates potential interactions between the program and its users.
• Ability to take a problem statement, clarify it, and analyze it in order to create a set of specifications appropriate for a computing environment.

Computer Science Program Goals

• Design and write computer systems to solve real-world problems (Introduced)
• Students will create computer systems and applications to solve real-world problems and meet human needs, such as communication, health, education and entertainment.
• Students use mathematical models, in particular linear models, to guide effective decision making in real-world problems.
• Design and write a correct computer program. (Introduced, Practiced)
• Students use software engineering principles, specific computer languages and computer technologies to develop correct applications such as graphical user interfaces, databases, client-server, multithreading, assembly language programs, and web applications.
• Students analyze and study algorithms in terms of computational resources (e.g. through time/space complexity analysis).
• Students study and utilize data structures and make appropriate choices based on design tradeoffs to solve problems and maximize the efficiency of programs.
• Students take a problem statement, clarify it, and analyze it in order to create a set of specifications appropriate for a computing environment. Students then create an algorithm that provides a solution, encode it in a formal computing language, and finally test and debug the program.

Data Science Program Goals

• Develop capacity to learn new analysis methods and tools. (Introduced)
• Develop a rigorous computational foundation for practical programming.

Interdisc Computer Science Program Goals

• Form interdisciplinary connections and apply computer science to meeting human needs. (Introduced)
• Ability to determine what can be done in a computing environment to solve a real world problem.

Data Science Program Goals

• Effectively communicate data science-related information to a variety of audiences. (Introduced)
• Communicate technical materials in written, visual, and oral forms.

Core Goals:

Quantitative Literacy

• Interpretation: Students will have the ability to explain information presented in mathematical and computational forms. (Introduced)
• Students will be able to answer questions about computer programs that they did not write.
• Representation: Students will be able to convert information into mathematical and computational forms analytically and/or using computational tools. (Introduced, Practiced)
• Students will be able to convert verbal descriptions of problems into correct computer programs.
• Communication: Students will be able to communicate quantitative ideas in the languages of mathematics, computer science, or quantitative social sciences and will be able to utilize quantitative information in support of an argument. (Introduced)
• Students will be able to write programs to filter and reduce (summarize) data in numeric arrays.

General Education Goals:

Quan. & Comp. Reasoning

• Translate problems into the language of mathematics and computer science, and solve them by using mathematical and computational methods and tools (Practiced)
• Ability to determine what can be done in a computing environment to solve a real world problem.
• Ability to take a problem statement, clarify it, and analyze it in order to create a set of specifications appropriate for a computing environment and then using introductory software engineering principles, develop a prototype for a graphical user interface that meets the problem specifications and anticipates potential interactions between the program and its users.
• Ability to create an algorithm that provides a solution in accordance with the problem specifications and then to take that algorithm and encode it in a formal computing language including testing and debugging the program.
• Understand the structure and development of logical arguments (Practiced)
• Ability to understand the logical structure of an algorithm and implement the algorithm by developing the corresponding logically structured program.

Program Goals:

Mathematics Program Goals

• Develop analytical skills and logical reasoning. (Introduced)
• Students will understand a mathematical hypothesis, condition, or definition and check that it is satisfied in a specific example.

Interdisc Computer Science Program Goals

• Design and write a correct computer program. (Practiced)
• Using introductory software engineering principles, develop a prototype for a graphical user interface that meets the problem specifications and anticipates potential interactions between the program and its users.
• Ability to create an algorithm that provides a solution in accordance with the problem specifications and then to take that algorithm and encode it in a formal computing language including testing and debugging the program.

Computer Science Program Goals

• Design and write computer systems to solve real-world problems (Introduced, Practiced)
• Students will create computer systems and applications to solve real-world problems and meet human needs, such as communication, health, education and entertainment.
• Students design complex software applications working in groups as leaders and helpers to meet business and marketing needs.
• Students use mathematical models, in particular linear models, to guide effective decision making in real-world problems.

Mathematics Program Goals

• Develop analytical skills and logical reasoning. (Introduced)
• Develop analytical skills and logical reasoning. (Introduced)
• Students will understand a general mathematical argument and then replicate the argument in a specific example.

Interdisc Computer Science Program Goals

• Design and write a correct computer program. (Practiced)
• Ability to take a problem statement, clarify it, and analyze it in order to create a set of specifications appropriate for a computing environment.

Mathematics Program Goals

• Develop analytical skills and logical reasoning. (Introduced)
• Students will analyze in depth mathematical statements.
• Students will justify their solutions to problems, using a variety of methods for logical reasoning.
• Students will construct rigorous logical arguments, using a variety of proof methods and logical reasoning.
• Students will read deeply and critique proofs and solutions to problems.

Computer Science Program Goals

• Design and write a correct computer program. (Introduced, Practiced, Mastered)
• Students use software engineering principles, specific computer languages and computer technologies to develop correct applications such as graphical user interfaces, databases, client-server, multithreading, assembly language programs, and web applications.
• Students take a problem statement, clarify it, and analyze it in order to create a set of specifications appropriate for a computing environment. Students then create an algorithm that provides a solution, encode it in a formal computing language, and finally test and debug the program.
• Students analyze and study algorithms in terms of computational resources (e.g. through time/space complexity analysis).
• Students study and utilize data structures and make appropriate choices based on design tradeoffs to solve problems and maximize the efficiency of programs.

Mathematics Program Goals

• Develop problem-solving skills, and in particular, develop the ability to handle problems that require multiple steps for their solution. (Introduced, Practiced)
• Students will reduce a new problem to previously solved problems.

Data Science Program Goals

• Develop capacity to learn new analysis methods and tools. (Introduced)
• Develop a rigorous computational foundation for practical programming.

Mathematics Program Goals

• Develop problem-solving skills, and in particular, develop the ability to handle problems that require multiple steps for their solution. (Introduced, Practiced)
• Students will translate real-life problems and/or problems from other disciplines into mathematical statements and use mathematical methods and specific problem-solving skills to solve these problems in complex, multi-step arguments.
• Students will decompose a problem into smaller problems.
• Students will identify patterns and use them to structure problem-solving techniques.
• Students will analyze, contrast, and compare different approaches to solving a problem.
• Improve quantitative skills. (Practiced)
• Improve quantitative skills. (Introduced, Practiced)
• Students will determine/calculate various function and objects characteristics within the context of the problem and mathematical area.

Interdisc Computer Science Program Goals

• Form interdisciplinary connections and apply computer science to meeting human needs. (Practiced)
• Ability to determine what can be done in a computing environment to solve a real world problem.

Mathematics Program Goals

• Improve quantitative skills. (Introduced, Practiced)
• Students will compute the value of a function at a specified input.
• Students will simplify answers after taking derivatives or integrating.
• Students will correctly manipulate algebraic expressions, equations and systems of equations in one or more variables.
• Students will solve linear, quadratic, differential, and other equations.
• Students will operate correctly on mathematical objects for theoretical and computational purposes.
• Students will correctly calculate the derivatives and integrals of a variety of functions and use the results in the proofs of mathematical theorems and as part of solving relevant real analysis problems.

Data Science Program Goals

• Effectively communicate data science-related information to a variety of audiences. (Introduced)
• Communicate technical materials in written, visual, and oral forms.

General Education Goals:

Quan. & Comp. Reasoning

• Translate problems into the language of mathematics and computer science, and solve them by using mathematical and computational methods and tools (Practiced)
• Ability to determine what can be done in a computing environment to solve a real world problem.
• Ability to take a problem statement, clarify it, and analyze it in order to create a set of specifications appropriate for a computing environment and then using introductory software engineering principles, develop a prototype for a graphical user interface that meets the problem specifications and anticipates potential interactions between the program and its users.
• Ability to create an algorithm that provides a solution in accordance with the problem specifications and then to take that algorithm and encode it in a formal computing language including testing and debugging the program.
• Understand the structure and development of logical arguments (Practiced)
• Ability to understand the logical structure of an algorithm and implement the algorithm by developing the corresponding logically structured program.

Program Goals:

Computer Science Program Goals

• Understand and apply the mathematical concepts underlying computer science. (Practiced)
• Students will construct either formal proofs or correct computer programs, demonstrating the rigorous application of mathematical concepts.
• Understand how computer systems (including architecture, operating systems, network, security and compilers) work (Practiced, Mastered)
• Students will build computer applications that meet human needs, such as communication, health, education, and entertainment.

General Education Goals:

Quan. & Comp. Reasoning

• Translate problems into the language of mathematics and computer science, and solve them by using mathematical and computational methods and tools (Practiced)
• Students will construct either formal proofs or correct computer programs, demonstrating their ability to translate problems into the language of mathematics and computer science.
• Understand the structure and development of logical arguments (Practiced)
• Students will construct either formal proofs or correct computer programs, demonstrating their ability to development logical and rigorous arguments.

Core Goals:

Quantitative Literacy

• Interpretation: Students will have the ability to explain information presented in mathematical and computational forms. (Introduced, Practiced)
• Students will present and explain in class their python programs.
• Representation: Students will be able to convert information into mathematical and computational forms analytically and/or using computational tools. (Introduced, Practiced)
• Students will design algorithms and will translate these to python programs.
• Analysis: Students will be able to draw appropriate conclusions using mathematical or computational reasoning and understand the limits of such conclusions and the assumptions on which they are based. (Introduced, Practiced)
• Students will learn to analyse and explore data using python.
• Communication: Students will be able to communicate quantitative ideas in the languages of mathematics, computer science, or quantitative social sciences and will be able to utilize quantitative information in support of an argument. (Introduced, Practiced)
• Students will solve interdisciplinary problems by designing and writing computer programs.

General Education Goals:

Quan. & Comp. Reasoning

• Translate problems into the language of mathematics and computer science, and solve them by using mathematical and computational methods and tools (Introduced, Practiced)
• Students will translate problems to algorithms to Python implementations.
• Understand the structure and development of logical arguments (Introduced, Practiced)
• Students will write python computer programs using logic statements.
• Understand the algebraic and graphical properties of important mathematical functions and use these functions in concrete applications (Introduced)
• Students will learn to create and use functions like random functions.
• Understand and apply the fundamental ideas of probability and statistics (Introduced)
• Students will analyse data with python.

Program Goals:

Data Science Program Goals

• Collect and manage data to devise solutions to data science tasks. (Introduced)
• Evaluate data in terms of source, volume, frequency, and flow.
• Collect, clean, and prepare data.
• Select, apply, and evaluate models to devise solutions to data science tasks. (Introduced)
• Identify and classify relevant variables for data science tasks.
• Choose and apply tools and methodologies to solve data science tasks.
• Assess the methods, tools, and models used in the analysis.
• Develop capacity to learn new analysis methods and tools. (Practiced, Mastered)
• Develop a rigorous computational foundation for practical programming.
• Interpret data analysis outcomes. (Practiced)
• Evaluate the limitations of data science findings.
• Interpret data, extract meaningful information, and assess findings.
• Effectively communicate data science-related information to a variety of audiences. (Practiced)
• Communicate technical materials in written, visual, and oral forms.
• Help non-technical professionals understand and act on data science findings.
• Facilitate data-informed discussions through listening, questioning, and presenting.

Program Goals:

Interdisc Computer Science Program Goals

• Design and write a correct computer program. (Practiced)
• Students write and analyze assembly language programs.
• Understand how computer systems (including architecture, operating systems, networks, and compilers) work. (Introduced, Practiced)
• Students will be able to modify a data path to add additional functionality.
• Students perform analyses of the interaction between programs and the memory hierarchy.

Computer Science Program Goals

• Design and write a correct computer program. (Practiced)
• Students write and analyze assembly language programs.

Interdisc Computer Science Program Goals

• Understand how computer systems (including architecture, operating systems, networks, and compilers) work. (Introduced, Practiced)
• Students build, program and debug a digital computer from basic electronic components.

Computer Science Program Goals

• Understand and apply the mathematical concepts underlying computer science. (Practiced)
• Students will investigate the performance of linear and tree recursive processes.

Interdisc Computer Science Program Goals

• Understand and apply the mathematical concepts underlying computer science. (Practiced)
• Students will investigate the performance of linear and tree recursive processes.
• Students will apply Boolean Algebra learned in previous courses.

Computer Science Program Goals

• Understand and apply the mathematical concepts underlying computer science. (Practiced)
• Students apply Boolean Algebra learned in previous courses.
• Understand how computer systems (including architecture, operating systems, network, security and compilers) work (Introduced, Practiced)
• Students will be able to modify a data path to add additional functionality.
• Students perform analyses of the interaction between programs and the memory hierarchy.
• Students build, program and debug a digital computer from basic electronic components.

General Education Goals:

Quan. & Comp. Reasoning

• Translate problems into the language of mathematics and computer science, and solve them by using mathematical and computational methods and tools (Practiced)
• Students will write assembly language programs.
• Students will use Karnaugh maps for digital logic design.
• Understand the algebraic and graphical properties of important mathematical functions and use these functions in concrete applications (Practiced)
• Students will understand and apply the unification of Boolean Algebra, binary arithmetic, and electronic switching elements in digital computing.

Program Goals:

Computer Science Program Goals

• Design and write computer systems to solve real-world problems (Practiced)
• Adding languages features to an interpreter.
• Design and write a correct computer program. (Practiced)
• Writing programs both in and implementing new programming languages.

General Education Goals:

Quan. & Comp. Reasoning

• Translate problems into the language of mathematics and computer science, and solve them by using mathematical and computational methods and tools (Mastered)
• Writing programs both in and implementing new programming languages.
• Understand the structure and development of logical arguments (Mastered)
• Analyzing the behavior of programs in diverse languages without executing them.
• Justifying choices in programming languages.

Program Goals:

Computer Science Program Goals

• Design and write a correct computer program. (Practiced, Mastered)
• Students study and utilize data structures and make appropriate choices based on design tradeoffs to solve problems and maximize the efficiency of programs.
• Students use software engineering principles, specific computer languages and computer technologies to develop correct applications such as graphical user interfaces, databases, client-server, multithreading, assembly language programs, and web applications.
• Students analyze and study algorithms in terms of computational resources (e.g. through time/space complexity analysis).
• Students take a problem statement, clarify it, and analyze it in order to create a set of specifications appropriate for a computing environment. Students then create an algorithm that provides a solution, encode it in a formal computing language, and finally test and debug the program.
• Understand how computer systems (including architecture, operating systems, network, security and compilers) work (Practiced, Mastered)
• Students learn processes, threads, CPU scheduling, synchronization, deadlocks, memory management, file systems, I/O systems, distributed systems, communication protocols and security.
• Students build, program and debug a digital computer from basic electronic components.

Program Goals:

Data Science Program Goals

• Collect and manage data to devise solutions to data science tasks. (Practiced)
• Collect, clean, and prepare data.

Interdisc Computer Science Program Goals

• Design and write a correct computer program. (Practiced)
• Utilize various data structures and make appropriate choices based on design tradeoffs to solve problems and maximize the efficiency of programs.
• Analyze algorithms in terms of computational resources (e.g. through time/space complexity analysis).

Data Science Program Goals

• Collect and manage data to devise solutions to data science tasks. (Practiced)
• Evaluate data in terms of source, volume, frequency, and flow.

Interdisc Computer Science Program Goals

• Design and write a correct computer program. (Practiced)
• Implement operations associated with data structures.

Computer Science Program Goals

• Design and write a correct computer program. (Practiced, Mastered)
• Students use software engineering principles, specific computer languages and computer technologies to develop correct applications such as graphical user interfaces, databases, client-server, multithreading, assembly language programs, and web applications.
• Students analyze and study algorithms in terms of computational resources (e.g. through time/space complexity analysis).
• Students study and utilize data structures and make appropriate choices based on design tradeoffs to solve problems and maximize the efficiency of programs.
• Students take a problem statement, clarify it, and analyze it in order to create a set of specifications appropriate for a computing environment. Students then create an algorithm that provides a solution, encode it in a formal computing language, and finally test and debug the program.

Data Science Program Goals

• Develop capacity to learn new analysis methods and tools. (Practiced)
• Develop a rigorous computational foundation for practical programming.

Computer Science Program Goals

• Understand and apply the mathematical concepts underlying computer science. (Practiced, Mastered)
• Students learn and write direct and indirect proofs and develop ability to show the correctness of operations performed in algorithms
• Students apply math concepts such as Boolean algebra (in computer Architecture), set theory (in Databases), formal proofs, graph theory (computer networks), finite-state automata (computer networks). Students understand system of linear equality, sensitivity analysis, duality theory - underlying the Simplex algorithm.

Interdisc Computer Science Program Goals

• Understand and apply the mathematical concepts underlying computer science. (Practiced)
• Understand and appreciate the close connection between mathematical induction and recursion (e.g. mathematical induction is used to prove the correctness of recursive algorithms).

Computer Science Program Goals

• Understand and apply the mathematical concepts underlying computer science. (Practiced, Mastered)
• Students develop and apply logic reasoning skills to model computational systems.

Interdisc Computer Science Program Goals

• Understand and apply the mathematical concepts underlying computer science. (Practiced)
• Understand the notions of asymptotic analysis of algorithms; use functions in conjunction with asymptotic notations to estimate the running time and space usage of algorithms – perform complexity analysis.

Computer Science Program Goals

• Understand and apply the mathematical concepts underlying computer science. (Practiced, Mastered)
• Students apply recurrence relations to derive the running time of recursive algorithms, and appreciate the close connection between mathematical induction and recursion (e.g. mathematical induction is used to prove the correctness of recursive algorithms).
• Develop ability to solve computational problems such as finding patterns in texts, parsing a programming language, or computing algebraic functions, using automata.

Interdisc Computer Science Program Goals

• Understand and apply the mathematical concepts underlying computer science. (Practiced)
• Apply recurrence relations to derive the running time of recursive algorithms.

General Education Goals:

Quan. & Comp. Reasoning

• Translate problems into the language of mathematics and computer science, and solve them by using mathematical and computational methods and tools (Practiced)
• Identify patterns and use them to structure problem-solving techniques.
• Understand the operations supported by various data structures and develop the ability to recognize situations in which these operations and data structures can be used to solve problems.
• Select appropriate data structures that best support a set of operations based on design tradeoffs and constraints (e.g. through time/space complexity analysis).
• Understand the structure and development of logical arguments (Practiced)
• Apply logic to understand and analyze computational arguments and programs.
• Understand the algebraic and graphical properties of important mathematical functions and use these functions in concrete applications (Practiced)
• Understand the growth rate of various functions, including logarithmic, polynomial, and exponential functions.
• Analyze the running time and space usage of an algorithm as a function of input size.
• Identify characteristics of algorithms that produce certain running times, for example logarithmic, linear, quadratic, and exponential running times.
• Understand and apply the fundamental ideas of probability and statistics (Practiced)
• Apply probability to analyze average running times of algorithms.

Program Goals:

Mathematics Program Goals

• Develop analytical skills and logical reasoning. (Mastered)
• Students will analyze in depth mathematical statements.
• Students will understand a mathematical hypothesis, condition, or definition and check that it is satisfied in a specific example.
• Students will understand a general mathematical argument and then replicate the argument in a specific example.
• Develop analytical skills and logical reasoning. (Mastered)
• Analyze, contrast, and compare different strategies used to solve a problem, based on the computational resources they require.
• Apply logic to understand and analyze computational arguments and algorithms.
• Develop analytical skills and logical reasoning. (Mastered)
• Students will justify their solutions to problems, using a variety of methods for logical reasoning.
• Students will read deeply and critique proofs and solutions to problems.
• Students will construct rigorous logical arguments, using a variety of proof methods and logical reasoning.
• Develop ability to communicate mathematical thoughts in a clear and coherent fashion. (Practiced)
• Students will translate between mathematical symbols and English words.
• Students will communicate in an organized, rigorous, and clear manner their solutions to problems via oral participation in class and workshop and in written form on exams and homework assignments.
• Students will clearly verbalize mathematical thoughts.
• Students will read deeply and critique each other's solutions in a professional manner typical for mathematical seminars and talks.
• Develop problem-solving skills, and in particular, develop the ability to handle problems that require multiple steps for their solution. (Mastered)
• Students will decompose a problem into smaller problems.
• Students will reduce a new problem to previously solved problems.
• Students will identify patterns and use them to structure problem-solving techniques.
• Students will analyze, contrast, and compare different approaches to solving a problem.
• Students will translate real-life problems and/or problems from other disciplines into mathematical statements and use mathematical methods and specific problem-solving skills to solve these problems in complex, multi-step arguments.

Computer Science Program Goals

• Understand and apply the mathematical concepts underlying computer science. (Introduced, Practiced, Mastered)
• Students learn and write direct and indirect proofs and develop ability to show the correctness of operations performed in algorithms.
• Students develop and apply logic reasoning skills to model computational systems.
• Students apply math concepts such as Boolean algebra (in computer Architecture), set theory (in Databases), formal proofs, graph theory (computer networks), finite-state automata (computer networks). Students understand system of linear equality, sensitivity analysis, duality theory - underlying the Simplex algorithm.
• Students apply recurrence relations to derive the running time of recursive algorithms, and appreciate the close connection between mathematical induction and recursion (e.g. mathematical induction is used to prove the correctness of recursive algorithms)
• Develop ability to solve computational problems such as finding patterns in texts, parsing a programming language, or computing algebraic functions, using automata.
• Understand the theory of formal languages, in particular context-free languages, and apply it to the definition and design of programming languages.
• Understand a model of computation, such as Turing machine, and use the model to show the capabilities and limitations of computation.

Mathematics Program Goals

• Develop problem-solving skills, and in particular, develop the ability to handle problems that require multiple steps for their solution. (Practiced)
• Write complete and coherent mathematical sentences.
• Translate mathematical symbols into English words and vice versa.
• Verbalize mathematical thoughts clearly.
• Improve quantitative skills. (Mastered)
• Students will simplify answers after taking derivatives or integrating.
• Students will correctly manipulate algebraic expressions, equations and systems of equations in one or more variables.
• Students will solve linear, quadratic, differential, and other equations.
• Students will operate correctly on mathematical objects for theoretical and computational purposes.
• Students will correctly calculate the derivatives and integrals of a variety of functions and use the results in the proofs of mathematical theorems and as part of solving relevant real analysis problems.
• Improve quantitative skills. (Mastered)
• Formulate solutions for computing problems using techniques such as divide-and-conquer, dynamic programming, and greedy.
• Improve quantitative skills. (Mastered)
• Students will compute the value of a function at a specified input.
• Improve quantitative skills. (Mastered)
• Understand the significance of NP-completeness and develop ability to show a problem is NP-complete.
• Solve problems using the fundamental graph algorithms, including depth-first and breadth-first search, shortest paths, topological sort, and minimum spanning tree.
• Identify patterns and use them to structure problem-solving techniques.
• Improve quantitative skills. (Mastered)
• Students will determine/calculate various function and objects characteristics within the context of the problem and mathematical area.
• Learn to apply a major mathematical theory to solve non-trivial problems in other scientific domains. (Mastered)
• Students will apply differential and integral calculus to solve problems in other sciences.
• Students will learn and use problem-solving techniques to solve problems from other areas.
• Students will translate real-world problems into abstract mathematical models.
• Students will build mathematical models to solve real-world decision problems arising from a wide range of domains.
• Students will abstract, analyze, and draw analogies between objects from other areas and mathematical constructs and theories.
• Learn to apply a major mathematical theory to solve non-trivial problems in other scientific domains. (Mastered)
• Solve recurrence relations.
• Derive and compute the running time of algorithms.

General Education Goals:

Quan. & Comp. Reasoning

• Translate problems into the language of mathematics and computer science, and solve them by using mathematical and computational methods and tools (Mastered)
• Identify patterns and use them to structure problem-solving techniques.
• Develop the ability to solve problems using techniques such as divide-and-conquer, dynamic programming, and greedy.
• Model engineering problems using graphs and employ graph algorithms to solve them.
• Understand the structure and development of logical arguments (Mastered)
• Apply logic to understand and analyze computational arguments and correctness of algorithms.
• Understand the algebraic and graphical properties of important mathematical functions and use these functions in concrete applications (Practiced)
• Analyze the running time and space usage of an algorithm as a function of input size.
• Identify characteristics of algorithms that produce certain running times, for example logarithmic, linear, quadratic, and exponential running times.
• Understand and apply the fundamental ideas of probability and statistics (Practiced)
• Apply probability to analyze average running times of algorithms.

Program Goals:

Computer Science Program Goals

• Design and write computer systems to solve real-world problems (Introduced, Practiced, Mastered)
• Students use mathematical models, in particular linear models, to guide effective decision making in real-world problems.
• Students will create computer systems and applications to solve real-world problems and meet human needs, such as communication, health, education and entertainment.
• Understand and apply the mathematical concepts underlying computer science. (Practiced, Mastered)
• Develop ability to solve computational problems such as finding patterns in texts, parsing a programming language, or computing algebraic functions, using automata.
• Students apply math concepts such as Boolean algebra (in computer Architecture), set theory (in Databases), formal proofs, graph theory (computer networks), finite-state automata (computer networks). Students understand system of linear equality, sensitivity analysis, duality theory - underlying the Simplex algorithm.

General Education Goals:

Quan. & Comp. Reasoning

• Translate problems into the language of mathematics and computer science, and solve them by using mathematical and computational methods and tools (Mastered)
• Recognize and formulate real-world decision problems as linear optimization problems. Examples of real-world problems are drawn from finance, marketing, production planning, transportation planning, telecommunications, operations management, system design, and games.
• Find optimal solutions to linear optimization problems using the Simplex algorithm.
• Perform sensitivity analysis – a technique for systematically changing parameters to determine the effects on the optimal solution – on linear optimization problems.
• Understand the structure and development of logical arguments (Practiced)
• Follow an abstract mathematical argument.
• Apply logic to understand and analyze mathematical arguments involving systems of linear equations.
• Understand the algebraic and graphical properties of important mathematical functions and use these functions in concrete applications (Practiced)
• Solve algebraically and graphically systems of linear inequalities in two and three dimensions, and find the optimal solution, based on a linear objective function, that satisfies all linear constraints.
• Generalize the algebraic approach from two and three dimensions to higher dimensions of systems of linear inequalities, and find the optimal solution, based on a linear objective function, that satisfies all linear constraints.

Program Goals:

Mathematics Program Goals

• Develop analytical skills and logical reasoning. (Mastered)
• Apply logic to understand and analyze mathematical arguments involving automata or formal languages.
• Solve computational problems by creating automata or formal languages.
• Analyze computational problems with respect to language/automata hierarchy and computability.
• Develop problem-solving skills, and in particular, develop the ability to handle problems that require multiple steps for their solution. (Mastered)
• Translate mathematical symbols into English words and vice versa.

Computer Science Program Goals

• Understand and apply the mathematical concepts underlying computer science. (Introduced, Practiced, Mastered)
• Understand the theory of formal languages, in particular context-free languages, and apply it to the definition and design of programming languages.
• Understand Turing machines as a model of computation and use the model to show the capabilities and limitations of computation.

Mathematics Program Goals

• Develop problem-solving skills, and in particular, develop the ability to handle problems that require multiple steps for their solution. (Mastered)
• Verbalize mathematical thoughts clearly.

Computer Science Program Goals

• Understand and apply the mathematical concepts underlying computer science. (Introduced, Practiced, Mastered)
• Develop ability to solve computational problems such as finding patterns in texts, parsing a programming language, or computing algebraic functions, using automata.

Mathematics Program Goals

• Develop problem-solving skills, and in particular, develop the ability to handle problems that require multiple steps for their solution. (Mastered)
• Write complete and coherent mathematical sentences.

Computer Science Program Goals

• Understand and apply the mathematical concepts underlying computer science. (Introduced, Practiced, Mastered)
• Students develop and apply logic reasoning skills to model computational systems.
• Students learn and write direct and indirect proofs and develop ability to show the correctness of operations performed in algorithms
• Students apply math concepts such as Boolean algebra (in computer Architecture), set theory (in Databases), formal proofs, graph theory (computer networks), finite-state automata (computer networks). Students understand system of linear equality, sensitivity analysis, duality theory - underlying the Simplex algorithm.
• Students apply recurrence relations to derive the running time of recursive algorithms, and appreciate the close connection between mathematical induction and recursion (e.g. mathematical induction is used to prove the correctness of recursive algorithms).

Mathematics Program Goals

• Improve quantitative skills. (Mastered)
• Demonstrate properties of languages and apply them to solve computational problems.
• Develop ability to solve computational problems using formal languages – regular languages and context-free languages.
• Develop ability to solve computational problems using automata – finite state machines, pushdown automata, and Turing machines.

General Education Goals:

Quan. & Comp. Reasoning

• Translate problems into the language of mathematics and computer science, and solve them by using mathematical and computational methods and tools (Mastered)
• Translate real-world problems into computational problems associated with automata and formal languages.
• Solve computational problems by creating automata or formal languages, or show that they are unsolvable by proving no such automata or formal languages exist.
• Analyze computational problems with respect to language/automata hierarchy and computability.
• Understand the structure and development of logical arguments (Mastered)
• Follow an abstract mathematical argument concerning an automaton or a formal language.
• Apply logic to understand and analyze mathematical arguments involving automata and formal languages.

Program Goals:

Computer Science Program Goals

• Design and write a correct computer program. (Practiced)
• Students study and utilize data structures and make appropriate choices based on design tradeoffs to solve problems and maximize the efficiency of programs.
• Students analyze and study algorithms in terms of computational resources (e.g. through time/space complexity analysis).
• Students use software engineering principles, specific computer languages and computer technologies to develop correct applications such as graphical user interfaces, databases, client-server, multithreading, assembly language programs, and web applications.
• Students take a problem statement, clarify it, and analyze it in order to create a set of specifications appropriate for a computing environment. Students then create an algorithm that provides a solution, encode it in a formal computing language, and finally test and debug the program.
• Understand how computer systems (including architecture, operating systems, network, security and compilers) work (Practiced, Mastered)
• Students learn processes, threads, CPU scheduling, synchronization, deadlocks, memory management, file systems, I/O systems, distributed systems, communication protocols and security.
• Students build, program and debug a digital computer from basic electronic components

General Education Goals:

Quan. & Comp. Reasoning

• Translate problems into the language of mathematics and computer science, and solve them by using mathematical and computational methods and tools (Practiced)
• Students will learn to implement distributed applications using Java.
• Understand the structure and development of logical arguments (Practiced)
• Students will study the many complex routing algorithms implemented in network routers.
• Understand the algebraic and graphical properties of important mathematical functions and use these functions in concrete applications (Practiced)
• Students will use mathematical equations, plots and diagrams to study network performance.
• Understand and apply the fundamental ideas of probability and statistics (Practiced)
• Students will use statistics to calculate metrics such as error rates and throughput.

Program Goals:

Computer Science Program Goals

• Design and write computer systems to solve real-world problems (Introduced, Practiced, Mastered)
• In order to discuss security vulnerabilities and attacks, students will need to learn and understand many aspect of computer networks, such as the protocol TCP.
• Design and write a correct computer program. (Practiced)
• Students will design and implement cryptographic algorithms using the Python programming language.
• Understand and apply the mathematical concepts underlying computer science. (Introduced, Practiced, Mastered)
• Cryptography is a mathematical disciple. Students will learn and practice modular arithmetic, finite fields and basic number theory.
• Understand how computer systems (including architecture, operating systems, network, security and compilers) work (Introduced, Practiced)
• Students will learn some of the vulnerabilities associated with identity theft attacks and the countermeasures.

General Education Goals:

Quan. & Comp. Reasoning

• Translate problems into the language of mathematics and computer science, and solve them by using mathematical and computational methods and tools (Practiced)
• Students will implement cryptographic algorithms using the computer programming language Python.
• Understand the structure and development of logical arguments (Practiced)
• Students will translate cryptographic algorithms into logical statements to form computer algorithms.
• Understand the algebraic and graphical properties of important mathematical functions and use these functions in concrete applications (Practiced)
• Cryptography uses mathematical algorithms to transform data into a form not readily intelligible. The students will apply logical functions to the binary and hexadecimal numerical systems.
• Understand and apply the fundamental ideas of probability and statistics (Practiced)
• Students will learn basic probability theory, Shannon's theorem, and the concepts of perfect secrecy, confusion and diffusion.

Program Goals:

Data Science Program Goals

• Collect and manage data to devise solutions to data science tasks. (Practiced)
• Evaluate data in terms of source, volume, frequency, and flow.
• Collect, clean, and prepare data.
• Select, apply, and evaluate models to devise solutions to data science tasks. (Practiced)
• Identify and classify relevant variables for data science tasks.
• Choose and apply tools and methodologies to solve data science tasks.
• Assess the methods, tools, and models used in the analysis.
• Develop capacity to learn new analysis methods and tools. (Mastered)
• Develop a rigorous computational foundation for practical programming.
• Interpret data analysis outcomes. (Practiced)
• Evaluate the limitations of data science findings.
• Interpret data, extract meaningful information, and assess findings.
• Effectively communicate data science-related information to a variety of audiences. (Practiced)
• Communicate technical materials in written, visual, and oral forms.
• Help non-technical professionals understand and act on data science findings.
• Facilitate data-informed discussions through listening, questioning, and presenting.

Program Goals:

Data Science Program Goals

• Collect and manage data to devise solutions to data science tasks. (Introduced)
• Evaluate data in terms of source, volume, frequency, and flow.

Computer Science Program Goals

• Design and write computer systems to solve real-world problems (Mastered)
• Students design complex software applications working in groups as leaders and helpers to meet business and marketing needs.

Data Science Program Goals

• Collect and manage data to devise solutions to data science tasks. (Introduced)
• Collect, clean, and prepare data.

Computer Science Program Goals

• Design and write computer systems to solve real-world problems (Mastered)
• Students will create computer systems and applications to solve real-world problems and meet human needs, such as communication, health, education and entertainment.
• Design and write a correct computer program. (Mastered)
• Students take a problem statement, clarify it, and analyze it in order to create a set of specifications appropriate for a computing environment. Students then create an algorithm that provides a solution, encode it in a formal computing language, and finally test and debug the program.
• Students analyze and study algorithms in terms of computational resources (e.g. through time/space complexity analysis).
• Students study and utilize data structures and make appropriate choices based on design tradeoffs to solve problems and maximize the efficiency of programs.
• Students use software engineering principles, specific computer languages and computer technologies to develop correct applications such as graphical user interfaces, databases, client-server, multithreading, assembly language programs, and web applications

Data Science Program Goals

• Develop capacity to learn new analysis methods and tools. (Mastered)
• Develop a rigorous computational foundation for practical programming.

General Education Goals:

Quan. & Comp. Reasoning

• Translate problems into the language of mathematics and computer science, and solve them by using mathematical and computational methods and tools (Mastered)
• Same as for the Computer Science program goals (Design and write a correct computer program, Apply computer science to meeting human needs).
• Understand the structure and development of logical arguments (Practiced)
• Students develop complete software development documentation package including detailed design specifications, Usability test plan and Quality Assurance test plan. These must be based on and convey logical arguments.

Program Goals:

Computer Science Program Goals

• Design and write a correct computer program. (Practiced, Mastered)
• Students study and utilize data structures and make appropriate choices based on design tradeoffs to solve problems and maximize the efficiency of programs.
• Students use software engineering principles, specific computer languages and computer technologies to develop correct applications such as graphical user interfaces, databases, client-server, multithreading, assembly language programs, and web applications.
• Students take a problem statement, clarify it, and analyze it in order to create a set of specifications appropriate for a computing environment. Students then create an algorithm that provides a solution, encode it in a formal computing language, and finally test and debug the program.
• Understand how computer systems (including architecture, operating systems, network, security and compilers) work (Practiced, Mastered)
• Students learn processes, threads, CPU scheduling, synchronization, deadlocks, memory management, file systems, I/O systems, distributed systems, communication protocols and security.
• Students build, program and debug a digital computer from basic electronic components.

General Education Goals:

Quan. & Comp. Reasoning

• Translate problems into the language of mathematics and computer science, and solve them by using mathematical and computational methods and tools (Practiced)
• Students will construct either formal proofs or correct computer programs, demonstrating their ability to translate problems into the language of mathematics and computer science.
• Understand the structure and development of logical arguments (Practiced)
• Students will construct either formal proofs or correct computer programs, demonstrating their ability to development logical and rigorous arguments.

Program Goals:

Computer Science Program Goals

• Design and write a correct computer program. (Practiced)
• Students will write computer programs, using PHP, to process data entered through web forms from web users, and to create and manipulate MySQL databases.
• Understand how computer systems (including architecture, operating systems, network, security and compilers) work (Practiced)
• Students will develop interactive web sites targeted to solve human needs.

General Education Goals:

Quan. & Comp. Reasoning

• Translate problems into the language of mathematics and computer science, and solve them by using mathematical and computational methods and tools (Practiced)
• Students will translate user needs into new web applications.
• Understand the structure and development of logical arguments (Practiced)
• Students will design and implement computer algorithms.

Program Goals:

Data Science Program Goals

• Collect and manage data to devise solutions to data science tasks. (Introduced)
• Evaluate data in terms of source, volume, frequency, and flow.
• Collect, clean, and prepare data.
• Select, apply, and evaluate models to devise solutions to data science tasks. (Introduced)
• Identify and classify relevant variables for data science tasks.
• Choose and apply tools and methodologies to solve data science tasks.
• Assess the methods, tools, and models used in the analysis.
• Develop capacity to learn new analysis methods and tools. (Practiced, Mastered)
• Develop a rigorous computational foundation for practical programming.
• Interpret data analysis outcomes. (Practiced)
• Evaluate the limitations of data science findings.
• Interpret data, extract meaningful information, and assess findings.
• Effectively communicate data science-related information to a variety of audiences. (Practiced)
• Communicate technical materials in written, visual, and oral forms.
• Help non-technical professionals understand and act on data science findings.
• Facilitate data-informed discussions through listening, questioning, and presenting.

Program Goals:

Interdisc Computer Science Program Goals

• Design and write a correct computer program. (Practiced)
• Writing programs both in and implementing new programming languages.
• Understand how computer systems (including architecture, operating systems, networks, and compilers) work. (Practiced)
• Adding languages features to an interpreter.

Program Goals:

Computer Science Program Goals

• Design and write computer systems to solve real-world problems (Practiced, Mastered)
• Individual labs and team projects will require students to understand synchronization, network communication, the application life cycle, and other key computing concepts.
• Design and write a correct computer program. (Practiced, Mastered)
• There is a team project in which each student implements a component of a mobile device application.
• There are multiple lab assignments in which students must write computer programs, which are reviewed line-by-line by the instructor.
• Understand and apply the mathematical concepts underlying computer science. (Practiced)
• Students will use efficient and correct algorithms in the programs that they write.
• Understand how computer systems (including architecture, operating systems, network, security and compilers) work (Practiced, Mastered)
• Students will design and implement a mobile device application.

Program Goals:

Interdisc Computer Science Program Goals

• Understand and apply the mathematical concepts underlying computer science. (Practiced, Mastered)
• Understand and appreciate the close connection between mathematical induction and recursion (e.g. mathematical induction is used to prove the correctness of recursive algorithms).
• Understand the notions of asymptotic analysis of algorithms; use functions in conjunction with asymptotic notations to estimate the running time and space usage of algorithms – perform complexity analysis.
• Apply recurrence relations to derive the running time of recursive algorithms.

Program Goals:

Interdisc Computer Science Program Goals

• Understand and apply the mathematical concepts underlying computer science. (Practiced, Mastered)
• Understand the time efficiency of the Simplex algorithm.
• Understand the mathematical concepts – systems of linear inequalities, sensitivity analysis, duality theory – underlying the Simplex algorithm.
• Form interdisciplinary connections and apply computer science to meeting human needs. (Practiced, Mastered)
• Use mathematical models, and in particular linear models, to guide effective decision making in real-world problems.

Program Goals:

Interdisc Computer Science Program Goals

• Understand and apply the mathematical concepts underlying computer science. (Practiced, Mastered)
• Understand Turing machines as a model of computation and use the model to show the capabilities and limitations of computation.
• Develop ability to solve computational problems such as finding patterns in texts, parsing a programming language, or computing algebraic functions, using automata.
• Understand the theory of formal languages, in particular context-free languages, and apply it to the definition and design of programming languages.

Program Goals:

Interdisc Computer Science Program Goals

• Design and write a correct computer program. (Practiced)
• Students will design and implement a client server application in Java using UDP sockets.
• Understand how computer systems (including architecture, operating systems, networks, and compilers) work. (Practiced, Mastered)
• Students will study the protocols and technologies involved in data communication over the Internet. With this knowledge, they will be able to design new protocols, or technologies, and to improve existing ones.

Program Goals:

Interdisc Computer Science Program Goals

• Form interdisciplinary connections and apply computer science to meeting human needs. (Practiced, Mastered)

Program Goals:

Computer Science Program Goals

• Design and write computer systems to solve real-world problems (Introduced, Practiced, Mastered)
• In order to discuss security vulnerabilities and attacks, students will need to learn and understand many aspect of computer networks, such as the protocol TCP.
• Design and write a correct computer program. (Practiced)
• Students will design and implement cryptographic algorithms using the Python programming language.
• Understand and apply the mathematical concepts underlying computer science. (Introduced, Practiced, Mastered)
• Cryptography is a mathematical disciple. Students will learn and practice modular arithmetic, finite fields and basic number theory.
• Understand how computer systems (including architecture, operating systems, network, security and compilers) work (Introduced, Practiced)
• Students will learn some of the vulnerabilities associated with identity theft attacks and the countermeasures.

Program Goals:

Data Science Program Goals

• Collect and manage data to devise solutions to data science tasks. (Practiced)
• Evaluate data in terms of source, volume, frequency, and flow.
• Collect, clean, and prepare data.
• Select, apply, and evaluate models to devise solutions to data science tasks. (Practiced)
• Identify and classify relevant variables for data science tasks.
• Choose and apply tools and methodologies to solve data science tasks.
• Assess the methods, tools, and models used in the analysis.
• Develop capacity to learn new analysis methods and tools. (Mastered)
• Develop a rigorous computational foundation for practical programming.
• Interpret data analysis outcomes. (Practiced)
• Evaluate the limitations of data science findings.
• Interpret data, extract meaningful information, and assess findings.
• Effectively communicate data science-related information to a variety of audiences. (Practiced)
• Communicate technical materials in written, visual, and oral forms.
• Help non-technical professionals understand and act on data science findings.
• Facilitate data-informed discussions through listening, questioning, and presenting.

Program Goals:

Interdisc Computer Science Program Goals

• Design and write a correct computer program. (Practiced)
• Design, develop, and implement a program that correctly solves a problem according to specifications with appropriate testing plan and documentation.
• Optimize code to use computing resources, such as CPM time and memory, more efficiently.
• Convert a description of a problem into a set of specifications appropriate for a computing environment.
• Understand how computer systems (including architecture, operating systems, networks, and compilers) work. (Practiced)
• Build or simulate some aspect of a working computer system.
• Demonstrate understanding of computer systems by various means, such as debugging and modifying computer systems, designing components of computer systems, analysis of computer systems, prediction of behavior or outcomes of computer systems.
• Understand and apply the mathematical concepts underlying computer science. (Practiced)
• Analyze the efficiency of algorithms in terms of time and space complexity.
• Apply logic and use appropriate proof techniques to mathematically analyze algorithms.
• Understand the mathematical concepts underlying various fields in computer science, for example, computer architecture, theory of computation, and theory of algorithms.
• Form interdisciplinary connections and apply computer science to meeting human needs. (Mastered)
• Analyze a real-world problem, form interdisciplinary connections, and identify the computing requirements appropriate to its solution.
• Formulate and solve real-world problems in a computing environment.
• Consider the social consequences of technology.

Program Goals:

Interdisc Computer Science Program Goals

• Design and write a correct computer program. (Practiced, Mastered)
• Students will work as a team to select a complex computer application and then work through the entire software development lifecycle including the following milestones: (a) high-level specifications, (b) detailed specifications, (c) prototyping with "thin vertical slice" across all components and "broad horizontal slice" demonstrating extensive UI development, (d) beta release with usability test and QA test plan, and (e) final demonstration with hard copy documentation package.
• Form interdisciplinary connections and apply computer science to meeting human needs. (Practiced, Mastered)
• Students will work as a group emulating a development team in a small software start-up. They will design and implement a complex software application and will need to consider business and marketing needs in terms of design specifications and priorities.
• Students will select, design and develop a software application designed to meet a specific market need.
• Students will development management skills working as leaders and helpers designing and developing specific major software components.

Program Goals:

Interdisc Computer Science Program Goals

• Design and write a correct computer program. (Practiced)
• Students will write computer programs, using PHP, to process data entered through web forms from web users, and to create and manipulate MySQL databases.
• Form interdisciplinary connections and apply computer science to meeting human needs. (Practiced)
• Students will develop interactive web sites targeted to solve human needs.