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Program Goals & Objectives


Learning Goals

This program seeks to provide students with:

  1. effective skills in analytic thought and logical argument,

  2. understanding of the processes of abstraction, modeling, and application,

  3. sound awareness of the characteristics and contributions of various areas of mathematical study,

  4. a mature appreciation of the place of mathematics in the context of human thought and inquiry, and

  5. the ability to clearly and effrectively communicate mathematical ideas.

 

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Learning Outcomes

Mathematics

 

  1. Students will demonstrate facility with axiomatic reasoning, including the ability to write clear, rigorous mathematical proofs.

  2. Students will make effective use of abstraction and inductive reasoning as key characteristics of the language and structure of mathematics and abstract data types in object-oriented programming. Through the study of more than one computer modeling language, students will distinguish between syntax (the concrete) and semantics (the abstract).

  3. Students will be able to design and use valid mathematical models and use them to solve realistic problems, employing techniques from physics, computer algorithms,and mathematics.

  4. Students will show the ability to engage instatistical reasoning, including the capacity to produce and interpret statistical information, and to make proper discernments in matters of precision and significance.

  5. Students will be able to organize, connect, and communicate mathematical and algorithmic ideas.

  6. Students will acquire facility with several significant technological tools, and use them effectively for computation, exploration, and presentation.

  7. Students will be prepared to pursue their postgraduate interests, including graduate study, teaching, and private or government employment.

  8. Students will develop ethical sensibility and a Christian worldview, in keeping with USF’s mission, “[to develop] mature Christian persons for service to God and humanity in the world.”

  9. Students will develop and demonstrate habits of effective thought, including the ability to reason analytically (through modes such as inductive reasoning, deductive reasoning, and mathematical induction), to distinguish "possible" from "necessary," to recognize assumptions, to identify logical fallacies, and to develop coherent arguments.

 

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Applied Mathematics

This four year program is across-discipline major designed to prepare students to pursue further study and careers in many branches of engineering or in any field where mathematics, computer science, and the physical sciences find application. The program is intended for students who prefer to gain a solid preparation in the applied areas of mathematics, computer modeling and simulation of mathematical and engineering problems, and foundational courses in physics and chemistry at a Christian liberal arts university before specializing in a field of engineering.

 

  1. Students will demonstrate facility with axiomatic reasoning, including the ability to write clear, rigorous mathematical proofs.

  2. Students will make effective use of abstraction and inductive reasoning as key characteristics of the language and structure of mathematics and abstract data types in object-oriented programming. Through the study of more than one computer modeling language, students will distinguish between syntax (the concrete) and semantics (the abstract).

  3. Students will be able to design and use valid mathematical models and use them to solve realistic problems, employing techniques from physics, computer algorithms,and mathematics.

  4. Students will show the ability to engage instatistical reasoning, including the capacity to produce and interpret statistical information, and to make proper discernments in matters of precision and significance.

  5. Students will be able to organize, connect, and communicate mathematical and algorithmic ideas.

  6. Students will acquire facility with several significant technological tools, and use them effectively for computation, exploration, and presentation.

  7. Students will be prepared to pursue their postgraduate interests, including graduate study, teaching, and private or government employment.

  8. Students will develop ethical sensibility and a Christian worldview, in keeping with USF’s mission, “[to develop] mature Christian persons for service to God and humanity in the world.”

  9. Students will develop and demonstrate habits of effective thought, including the ability to reason analytically (through modes such as inductive reasoning, deductive reasoning, and mathematical induction), to distinguish "possible" from "necessary," to recognize assumptions, to identify logical fallacies, and to develop coherent arguments.

 

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