Lecture Notes for Math 152

Dr. Oksana Shatalov

Fall 2012

This page will be updated as the semester progresses.

Exam I Lectures

Week 1

Section 6.4 (Review of The Fundamental Theorem of Calculus) Completed Notes
Section 6.5 (Integration by Substitution) Completed Notes
Section 7.1 (Area between Curves) Completed Notes

Week 2

Section 7.1 continued (Area between Curves )
Section 7.2 (Volume) Completed Notes

Week 3

Section 7.3 (Volumes by Cylindrical Shells) Completed Notes
Section 7.4 (Work) Competed Notes

Week 4

Section 7.5 (Average Value) Completed Notes
Section 8.1 (Integration by Parts) Completed Notes
Section 8.2 (Trigonometric Integrals) Completed Notes

Exam II Lectures

Week 5

Section 8.3 (Trigonometric Substitutions) Completed Notes
Section 8.4 (Integration of rational functions by partial fractions) Completed Notes

Week 6

Section 8.9 (Improper Integrals) Completed Notes

Section 9.3 (Arc Length) Completed Notes

Week 7

Section 9.4 (Area of a Surface if Revolution) Completed Notes
Section 10.1 (Sequences) Completed Notes Enrichment "Fibonacci Numbers in Nature"
Section 10.2 (Series) Completed Notes

Week 8

Section 10.2 (Series) continued

Exam III Lectures

Section 10.3 (The Integral and Comparison Tests; Estimating Sum) Completed Notes

Week 9

Section 10.4 (Other Convergence Tests) Completed Notes

Week 10

Section 10.5 (Power Series) Completed Notes

Section 10.6 (Representation of Functions as Power Series) Completed Notes

Week 11

Section 10.7 (Taylor and Maclaurin Series) Completed Notes
Section 10.9 (Applications of Taylor Polynomials) Completed Notes

Week 12

Section 10.9 (Applications of Taylor Polynomials) continued

Section 11.1 (Three-dimensional coordinate system) Completed Notes

Section 11.2 (Vectors and the Dot Product in Three Dimensions) Completed Notes

New material for the Final Exam

Weeks 13&14

Section 11.3 (The Cross Product) Completed Notes

Section 13.4 (Polar coordinates) Completed Notes