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Math 13 Course Outline:

Section(s)
1. Functions
a. Composition and Inverses 2.1, 2.2, 2.3, 7.4
b. Exponentials and Logarithms 7.1, 7.3
c. Trigonometric Functions and their Inverses Appendix B, 8.1
2. Limits and Graphs
a. Limits and Continuity 2.4, 2.5, 2.7
b. Graphs and Asymptotes 4.4
c. Formal Definition and epsilon-delta Proofs 2.6
3. Differentiation
a. Calculating Derivatives by Definition 3.2
b. Differentiation Rules 3.3, 3.4, 3.5, 7.2, 8.2
c. Extensions to Implicit Differentiation 3.6
4. Applications of Differentiation
a. Curve Sketching 4.2, 4.3, 4.4, 4.5
b. Max-Min Problems 4.3, 4.6, 4.7
c. Related Rates Problems 4.1
5. Integration
a. Calculating Definite Integrals by Definition 5.4, 5.5, 5.6
b. The Fundamental Theorem of Calculus 5.7, 5.9
c. Integration by Substitution 5.3, 5.8, 7.2, 8.2
d. Integration by Parts 9.2
e. Improper Integrals 10.1
6. Applications of Integration
a. Area Under a Curve 6.1
b. Volumes of Solids of Revolution 6.2, 6.3
c. Arc Length 6.4
d. Work 6.7

See the course calendar for details concerning exams and quizzes.


Up: Math 13 Home Page

Comments to: dpvc@union.edu
Created: Sep 1 1997 --- Last modified: Sep 5, 1997 10:29:04 AM