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Mathematics (B.S.) This program seeks to provide students with (1) effective skills in analytical 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 effectively communicate mathematical ideas. Student Learning Outcomes: 1. Students will demonstrate facility with axiomatic reasoning, including the ability to write clear, rigorous mathematical proofs. 2.  Students will distinguish between syntax (the concrete) and semantics (the abstract) by writing programs in at least two different languages that perform the same function. These two programs should model mathematical structures, utilizing an object-oriented programming language. 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 or mathematics. 4.  Students will show the ability to engage in statistical reasoning, including the capacity to produce and interpret statistical information.

❏ MAT490 Senior Seminar (a two-semester sequence during the senior year) ❏ CHE111/112 General Chemistry or PHY201/202 University Physics ❏ COM201 Introduction to Computer Science I ❏ COM202 Introduction to Computer Science II or MAT/COM306 Discrete and Algorithmic Mathematics ❏ NSC300 Colloquium (two semesters; one presentation required) Two electives in mathematics numbered above 204 ❏ ______________________________________ ❏ ______________________________________

Mathematics Minor Requirements: Students who meet the regular degree requirements of the University for a major in some other program may receive a minor in mathematics by completing 18 s.h. of math courses, which must include MAT 204 and MAT 205, but may not include a course numbered below 150. Two semesters of science colloquium (NSC 300), including one presentation, must also be taken for credit.

Mathematics Secondary Education Certification

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

In addition to the outcomes of the regular mathematics major, this program is designed to acquaint the student with the high school mathematics program, provide the student with pedagogical awareness and practical educational experience, and prepare the student for teaching mathematics at the secondary school level. Completion of this program leads to a Bachelor of Science degree in Mathematics and certification for teaching at the secondary level.

7.  Students will make proper discernments in matters of precision of computations and propagation of error.

Vocational Applications: The program is particularly aimed at preparing the student to teach high school mathematics.

Vocational Applications: Students majoring in mathematics are well positioned to enter a wide range of careers in the public or private sector, especially by combining expertise in mathematics with interests in other fields, such as computer science, engineering, natural science, business, or social science. Graduate study in mathematics or a related field is encouraged for students seeking careers in pure mathematics or statistics.

Requirements: The requirements are the same as those for the regular mathematics major, but in addition, the student must complete the courses required for the secondary education major. (See Education in Bachelor's Degree Programs section.) Students are expected to take MAT 303 and MAT 406 for their electives to fulfill the education requirements. Also, education students are encouraged to present their science colloquium on a topic related to the field of math education. In addition to the courses listed below, majors must participate in program assessment activities. For graduation, a major must have a minimum 2.5 GPA in all Natural Sciences Area courses counting toward the major for student teaching eligibility. ❏ MAT204 Calculus I ❏ MAT205 Calculus II ❏ MAT302 Probability and Statistics ❏ MAT303 Foundations of Geometry ❏ MAT304 Linear Algebra ❏ MAT305 Abstract Algebra ❏ MAT310 Calculus III ❏ MAT311 Differential Equations ❏ MAT320 Introduction to Real Analysis

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

Requirements: In addition to meeting the liberal arts core requirements of the University, students must complete the courses listed below. Majors must participate in program assessment activities. For graduation, a major must have a minimum 2.25 GPA in all Natural Sciences Area courses counting toward the major. ❏ MAT204 Calculus I ❏ MAT205 Calculus II ❏ MAT302 Probability and Statistics ❏ MAT304 Linear Algebra ❏ MAT305 Abstract Algebra ❏ MAT310 Calculus III ❏ MAT311 Differential Equations ❏ MAT320 Introduction to Real Analysis

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UNIVERSITY OF SIOUX FALLS

mathematics

2015-2017 USF Academic Catalog  
2015-2017 USF Academic Catalog  

2015-2017 academic catalog for the University of Sioux Falls.