Applied Mathematics (B.S.) This four-year program is a cross-discipline major designed to prepare students to pursue further study and careers in many branches of computational science, including engineering fields, 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. 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. 5. Students will be able to organize, connect and communicate mathematical or algorithmic ideas. 6. Students will acquire facility with several significant technological tools and use them effectively for computation, exploration and presentation. Vocational Applications: This program is designed to train leaders in the many areas where abilities in mathematical analysis and problem solving, computer-aided mathematical modeling and simulation, and understanding the core disciplines of the physical sciences are requisite. Graduates may pursue advanced degrees in many areas of engineering and mathematics or a career in the computational sciences. Additional courses may be required for full admittance into a particular engineering program. Additional requirements depend on the field of study and the institute granting the postgraduate degree. Opportunities exist for undergraduate internships with engineering projects. The program emphasis is the cross-discipline application of the physical and computational sciences in ways that serve the community and fulfill the Christian responsibility of becoming a good steward. 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 science area courses counting toward the major. ❏ MAT204 Calculus I ❏ MAT205 Calculus II
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UNIVERSITY OF SIOUX FALLS
applied mathematics
❏ MAT310 Calculus III ❏ MAT311 Differential Equations ❏ CHE111 General Chemistry I ❏ CHE112 General Chemistry II ❏ COM201 Introduction to Computer Science I ❏ COM202 Introduction to Computer Science II ❏ COM/MAT300 Numerical Methods ❏ COM/MAT306 Discrete Mathematics ❏ COM/MAT481 Senior Seminar I ❏ COM/MAT482 Senior Seminar II ❏ NSC300 Colloquium (two semesters during the junior year; one presentation required) ❏ PHY201 University Physics I ❏ PHY202 University Physics II Nine s.h. in mathematics, computer science or any natural science (200 level or above) with at least 3 s.h. in computer science (above COM 202).