Stewart 5th Edition
Course Outline
MATH - 164
Section Topic Days
5.1 Areas and distances + Sigma Notation (Appendix E) 2
5.2 The definite integral 2
5.3 The Fundamental Theorem of Calculus 3
5.4 Indefinite integrals and the total change theorem 2
5.5 The substitution rule 2
6.1 Areas between graphs 2
Other applications from Chapter 6 and Section 9.3 2
(Volumes, Work, Applications to physics and engineering)
7.1 Inverse functions 2
7.2* The Natural Logarithmic Function 2
7.3* The Natural Exponential Function 2
7.4* General Log and exp functions 1
7.5 Inverse trigonometric functions 3
7.6 Hyperbolic functions 1
8.1 Integration by parts 2
8.2 Trigonometric integrals 1
8.3 Trigonometric substitution (selected topics) 1
8.4 Partial Fractions 2
8.5 Strategy for integration (Review) 1
8.6 Using tables and computer algebra systems (optional) (Can be integrated in previous sections.)
Total of 35 hours.