Course Name: Math 3208

R – retain, D – delete, C – change, A -add

Student: Date:

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Unit 1: Pre-Calculus
RF1. Demonstrate an understanding of operations on, and compositions of, functions.
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Unit 2: Limits and Continuity
C1. Demonstrate an understanding of the concept of limit and evaluate the limit of a function.
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C2. Solve problems involving continuity.
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Unit 3: Rational Functions
RF2. Graph and analyze rational functions (limited to numerators and denominators that are monomials, binomials or trinomials).
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Unit 4: Derivative
C3. Demonstrate an understanding of the concept of a derivative and evaluate derivatives of functions using the definition of derivative.
C4. Apply derivative rules including:
• Constant Rule
• Constant Multiple Rule
• Sum Rule
• Difference Rule
• Product Rule
• Quotient Rule
• Power Rule
• Chain Rule
to determine the derivative of functions.
C5. Determine the derivative of a relation, using implicit differentiation.
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Unit 5: Applications of Derivatives
C6. Use derivatives to sketch the graph of a polynomial function.
C7. Use derivatives to sketch the graph of a rational function.
C8. Use calculus techniques to solve and interpret related rates problems.
C9. Use calculus techniques to solve optimization problems.
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Unit 6: Calculus of Trigonometry
C10. Solve problems involving limits of trigonometric functions.
C11. Apply derivatives of trigonometric functions.
C12. Solve problems involving inverse trigonometric functions.
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Unit 7: Antidifferentiation and Integration
C13. Determine the indefinite integral of a polynomial and radical function.
C14. Determine the definite integral of a polynomial function.
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Unit 8: Calculus of Exponential and Logarithmic Functions
C15. Determine the limit and derivative of exponential and logarithmic functions.

Math 3208 September 2013 Page 4 of 4