Math 113 (Administration)

1. Functions
   1. Composition and Inverses (0.1, 0.2, 0.4)
   2. Exponentials and Logarithms (0.5)
   3. Trigonometric Functions and their Inverses (Appendix B, 0.4)
2. Limits and Graphs
   1. Limits and Continuity (1.1, 1.2, 1.3)
   2. Graphs and Asymptotes ((0.1), 0.2, 1.5)
   3. Formal Definition and $\epsilon$-$\delta$ Proofs*
3. Differentiation
   1. Calculating Derivatives by Definition (2.1, 2.2)
   2. Differentiation Rules (2.3, 2.4, 2.5, 2.6)
   3. More differentiation Rules (3.2, 3.3)
   4. Implicit Differentiation (3.1)
   5. Logarithmic Differentiation*
   6. Taylor Polynomial Approximations and Maclaurin Series (9.7, 9.8)
4. Applications of Differentiation
   1. Related Rates Problems (3.4)
   2. Max-Min Problems (4.4, 4.5)
   3. Curve Sketching (4.1, 4.2, 4.3)
5. Integration
   1. Calculating Definite Integrals by Definition (5.4, 5.5)
   2. The Fundamental Theorem of Calculus (5.6)
   3. Integration by Substitution (5.3, 5.9)
   4. Integration by Partsv
   5. Improper Integrals (7.8)
   6. Partial Fractions* (7.5)
   7. Trigonometric Substitutions* (7.3, 7.4)
6. Applications of Integration
   1. Area Between Curves (6.1)
   2. Volumes of Solids of Revolution (6.2)
   3. Surface Area (6.5)
   4. Arc Length* (6.4)

See the course calendar for details concerning exams and quizzes.

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^* Time permitting.

Math 113 (Fall 2016) web pages Created: 28 Aug 2016 Last modified: Aug 29, 2016 10:39:24 AM Comments to: dpvc@union.edu

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