Math 113 (Administration)

1. Functions
   1. Composition and Inverses
   2. Exponentials and Logarithms
   3. Trigonometric Functions and their Inverses
2. Limits and Graphs
   1. Limits and Continuity
   2. Graphs and Asymptotes
   3. Formal Definition and $\epsilon$-$\delta$ Proofs
3. Differentiation
   1. Calculating Derivatives by Definition
   2. Differentiation Rules
   3. Implicit Differentiation
   4. Logarithmic Differentiation
   5. Maclaurin and Taylor Polynomials and Series
4. Applications of Differentiation
   1. Curve Sketching
   2. Max-Min Problems
   3. Related Rates Problems
5. Integration
   1. Calculating Definite Integrals by Definition
   2. The Fundamental Theorem of Calculus
   3. Integration by Substitution
   4. Integration by Parts
   5. Trigonometric Substitutions
   6. Partial Fractions
   7. Improper Integrals
6. Applications of Integration
   1. Area Under a Curve
   2. Volumes of Solids of Revolution
   3. Arc Length
   4. Surface Area

See the course calendar for details concerning exams and quizzes.

Math 113 (Winter 2006) web pages Created: 03 Jan 2006 Last modified: Jan 3, 2006 2:46:53 PM Comments to: dpvc@union.edu

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