Math152       Lecture Notes       Spring 2015

This page will be updated as the semester progresses.

Week 1
Section 6.4 (The fundamental theorem of calculus)      Completed Notes
Section 6.5 (The substitution rule)      Completed Notes
Section 7.1 (Area between curves)      Completed Notes
Week 2
Section 7.1 (Area between curves) Completed Notes
Section 7.2 (Volume) Completed Notes
Section 7.3 (Volumes by cylindrical shells)
Week 3
Section 7.3 (Volumes by cylindrical shells)      Completed Notes
Section 7.4 (Work)      Completed Notes
Section 7.5 (Average value of a function)      Completed Notes
Week 4
Section 7.5 (Average value of a function)      Completed Notes
Section 8.1 (Integration by parts)     Completed Notes
Section 8.2 (Trigonometric integrals)     Completed Notes
Week 5
Section 8.2 (Trigonometric integrals)     Completed Notes
Section 8.3 (Trigonometric substitutions)     Completed Notes
Review for Exam 1
Week 6
Section 8.4 (Integration of rational functions by partial fractions)      Completed Notes
Section 8.9 (Improper Integrals)      Partially Completed Notes
Week 7
Section 8.9 (Improper Integrals)      Completed Notes
Section 9.3 (Arc length)      Completed Notes
Section 9.4 (Area of a surface of revolution)      Completed Notes
Week 8
Section 9.4 (Area of a surface of revolution)      Completed Notes
Section 10.1 (Sequences)      Completed Notes
Section 10.2 (Series)      Completed Notes
Section 10.3 (The Integral and Comparison Tests; Estimating Sums)      Completed Notes
Week 9
Section 10.3 (The Integral and Comparison Tests; Estimating Sums)      Completed Notes
Review for Exam 2
Week 10
Section 10.4 (Other Convergence Tests)      Completed Notes
Section 10.5 (Power series)      Completed Notes
Section 10.6 (Representations of functions as a power series)
Week 11
Section 10.5 (Power series)      Completed Notes
Section 10.6 (Representations of functions as a power series)      Completed Notes
Section 10.7 (Taylor and Maclaurin series)      Completed Notes
Section 10.9 (Applications of Taylor series)      Partially Completed Notes
Week 12
Section 10.7 (Taylor and Maclaurin series)      Completed Notes
Section 10.9 (Applications of Taylor series)      Completed Notes
Section 11.1 (Three-dimensional coordinate system)      Completed Notes
Week 13
Section 11.2 (Vectors and the dot product in three dimensions)      Completed Notes
Section 11.3 (The cross product)      Completed Notes
Section 13.4 (Polar coordinates)      Completed Notes