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Course Criteria
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3.00 Credits
Recommended for Elementary Education majors as a preliminary to MATH 113. An introduction to basic mathematical ideas including counting and measuring, calculation, symbol manipulation, algebra and logic. Topics are matched to the elementary school curriculum. The emphasis is on developing understanding, intuition, and imagination rather than rigidly following prescribed methods. NOTE: OFFERED EVERY SEMESTER
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3.00 Credits
The structure of arithmetic based on the properties of the natural number system is presented. Samples of concrete materials for different grade levels are demonstrated. Alternate approaches to solving problems and performing basic operations are proposed. Visualization of concepts is stressed. Emphasis throughout the course is on teaching mathematics for understanding of theory and application. NOTES: RECOMMENDED PREREQUISITE: MATH 110 OFFERED EVERY SEMESTER
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4.00 Credits
A course for Elementary and Middle School Education majors in their junior and senior year. Meets SD certification requirements for 1 credit in natural science and 3 credits in mathematics. Space and earth science is the context for learning math concepts. The science starts with our universe and works down to our moon and planet Earth. Among the math topics are measurement, data collection, curve fitting, spatial sense, and geometry. NOTES: PREREQUISITE: BIOL 200 OFFERED MOST INTERIMS
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3.00 Credits
For students with one or two years of high school algebra. This course is at the level of college algebra but is not focused on algebra. It stresses application of mathematics in careers of non-scientists and in the everyday lives of educated citizens, covering basic mathematics, logic, and problem solving in the context of real-world applications. Topics that often arise in the course include numerical literacy, probability, statistics, financial management, modeling, and mathematics in arts, science, and government. NOTE: OFFERED EVERY SEMESTER
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4.00 Credits
Algebra review, functions and graphs, logarithmic and exponential functions, analytic geometry, trigonometric functions, trigonometric identities and equations, mathematical induction, complex numbers. Students completing this course are prepared to enter calculus. NOTE: OFFERED EVERY SEMESTER
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4.00 Credits
Limits and continuity for functions of one real variable. Derivatives and integrals of algebraic, trigonometric, exponential, and logarithmic functions. Applications of the derivative. Introduction to related numerical methods. NOTE: OFFERED EVERY SEMESTER
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4.00 Credits
Techniques of integration, numerical integration, and applications of integrals. Infinite series including Taylor series. Introduction to differential equations. Calculus in polar coordinates. NOTE: OFFERED EVERY SEMESTER
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3.00 Credits
The calculus of vector-valued functions, functions of several variables, and vector fields. Includes vector operations, equations of curves and surfaces in space, partial derivatives, multiple integrals, line integrals, surface integrals, and applications. NOTE: OFFERED EVERY SPRING SEMESTER
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2.00 - 4.00 Credits
Topics in Mathematics
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2.00 - 4.00 Credits
Independent Study
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