Spr 19 Math 3B TuTh Lecture Notes

Chapter 7 Techniques of Integration

• January 22, 2019 Substitution Method
• January 24, 2019 Integration by Parts
• January 29, 2019 Trigonometric Integrals
• January 31, 2019 Trigonometric Substitution
• February 5, 2019 Integration by Partial Fractions
• February 7, 2019 Strategies of Integration
• February 7, 2019 Tables of Integrals
• February 12, 2019 Numerical Integration
• February 12, 2019 Improper Integrals
• February 19, 2019 Exam Ch 7 Prep

Chapter 6 Applications of Integration

• February 19, 2019 Area Between Curves
• February 26, 2019 Volumes – Disk/Washer Methods
• February 26, 2019 Volumes – Shell Method
• March 5, 2019 Work
• March 5, 2019 Average Value of a Function

Chapter 8 Further Applications of Integration

• March 5, 2019 Arc Length
• March 7, 2019 Surface Area of Revolution
• March 12, 2019 Applications of Physics & Engineering
• March 14, 2019 Exam Ch 6 & 8 Review

Chapter 11 Sequences and Series

• March 26, 2019 Sequences
• March 28, 2019 Geometric Series
• April 9, 2019 The Integral Test
• April 9, 2019 Comparison Tests
• April 16, 2019 Alternating Series Test
• April 16, 2019 Absolute Convergence, Ratio, and Root Tests
• April 18, 2019 Strategies for Testing Series
• April 18, 2019 Power Series
• April 18, 2019 Representation of function as power series
• April 23, 2019 Taylor and Maclaurin Series
• April 25, 2019 Chapter 11 Review for Exam

Chapter 9 Differential Equations

• May 2, 2019 Intro to Differential Equations
• May 7, 2019 Section 9.3 Mixture Problems

Chapter 10 Parametric Equations and Polar Coordinates

• May 7, 2019 Parametric Equations
• May 9, 2019 Calculus with Parametric Equations
• May 9, 2019 Polar Coordinates
• May 14, 2019 Areas and Lengths in Polar Coordinates
• May 16, 2019 Final Exam Preparation