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Brief Calculus
MAT 211
Course Information
Textbook Information
Title: Finite Mathematics and Calculus with Applications, 8e Author: Lial, Greenwell, Ritchey Publisher: Pearson Publishing ISBN: 0-321-42651-
Sections to Cover
Chapter or
Appendix
Section Topic
Learning
Outcomes
Notes
Chp. 11 All The Derivative 1, Chp. 12 All Calculating the Derivative 3 Chp. 13 All Graphs and the Derivative 4 Chp. 14 All Applications of the Derivative
Chp. 15
Integration 6, 15.6 Numerical Integration 7 Optional Chp. 16 16.1 Integration by Parts 7 16.4 Improper Integrals 7 Supplement Newton’s Method 3 Optional Indeterminant Forms/ L’Hopital’s Rule
Optional Differentiation of the Inverse Function
Optional
MAT 211
Learning Outcomes and Standards Learning Outcome Standard(s)
- Evaluate limits of various functions.
- Given a function, evaluate the limit by applying the rules of algebra and limits.
- Demonstrate an understanding of continuity.
- Determine points of discontinuity of a given function by applying the rules of algebra or by analyzing a graph of the function.
- Evaluate rates of change and derivatives of various functions.
- Apply the appropriate rules of differentiation to find the derivative of a function.
- Graph algebraic functions.
- Graph algebraic functions using the derivative and its tests.
- Solve application problems.
- Solve business and economics applied problems using the derivative.
- Compute the anti-derivative of various functions. 6. Given a function, find the indefinite and definite integral by applying the appropriate theorem.
- Evaluate the definite integral of various functions. 7.Use the Fundamental Theorem of Calculus to evaluate integrals and solve application problems.
