Math 172      Spring 2016

   Lecture Notes 

This page will be updated as the semester progresses.

Exam I Notes

Week 1

• Sections 6.2-6.4 (Review)      Completed Notes

• Section 6.5 (Integration by Substitution)  Completed Notes

Week 2

• Section 7.1 (Area between Curves)  Completed Notes

• Section 7.2 (Volume)   Completed Notes

Week 3

• Section 6.6 (The Logarithm Defined As An Integral) Completed Notes

• Section 7.3 (Volumes by Cylindrical Shells)    Completed Notes

• Section 7.4 (Work)   Completed Notes

Weeks 4&5

• Section 7.5 (Average Value) Completed Notes

• Section 8.1 (Integration by Parts)    Completed Notes 

• Section 8.2 (Trigonometric Integrals) Completed Notes

• Section 8.3 (Trigonometric Substitutions) Completed Notes

• Section 8.4 (Integration of rational functions by partial fractions)  Completed Notes

Week 6 (Exam 1 on Feb 26th)

• Section 8.9 (Improper Integrals)  Completed Notes

Week 7

• Section 9.3 (Arc Length) Completed Notes

• Section 8.8 (Approximate Integrations) Completed Notes

• Section 9.1 (Differential Equations) Completed Notes

• Section 9.2 (First Order Linear Differential Equations) Completed Notes

Weeks 9-11 (Exam 2 on Mar 23d)

• Section 10.1 (Sequences)   Completed Notes
• Enrichment "Fibonacci Numbers in Nature"
• Section 10.2 (Series) Completed Notes

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

• Section 10.4 (Other Convergence Tests)  Completed Notes

• Flow Chart for Convergence of Series

• Section 10.5 (Power Series)  Completed Notes                                                       

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

• Section 10.7 (Taylor and Maclaurin Series) Completed Notes

• Section 10.9 (Applications of Taylor Polynomials) Completed Notes