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MATH 3480/UTLS 2040 FUNCTIONS and MODELING Instructor: Email: Book: There is no textbook for this class. Grade: There will be 2 tests and 1 final. Each test is worth 20% and the final is worth 25%. In class worksheets will be assigned each week. The worksheet average counts for 25% and class participation counts for 10%. A 0 will be given to a missed exam unless arrangements are made prior to the exam. A lot will be covered in class so regular attendance is critical. Three main units will be covered in this class. Unit 1: Functions 1. What is a function? 2. The cosine function. 3. The exponential function. 4. The logarithmic function. 5. The parabola. 6. The ellipse. 7. The hyperbola. 8. Conic sections in polar coordinates. 9. What is the number? Geometry, sequences, and series. Unit 2: Modeling 1. The least squares method to t a function to bivariate data. 2. Residual analysis. 3. Applications. Unit 3: Complex numbers 1. Why complex numbers? Solving equations. 2. Geometry of complex numbers. 3. Polar form. Standards Covered: Colorado Teacher Quality Standards Quality Standard IV: Element b National Council of Teachers of Mathematics Standards addressed in this course: 1.1 – 1.4, 2.2, 3.1 – 3.3, 4.1 – 4.3, 5.1 – 5.3, 9.8, 9.9, 10.1, 10.4, 10.5