Spr 19 Math 3B Lecture Notes

Chapter 7 – Techniques of Integration

• January 23, 2019
• January 28, 2019
• January 30, 2019 Trigonometric Integrals
• January 30, 2019 Trigonometric Substitutions
• February 4, 2019 Integration by Partial Fractions
• February 6, 2019 Strategies of Integration
• February 6, 2019 Integrals using Tables
• February 11, 2019 Numerical Integration
• February 11, 2019 Improper Integrals
• February 13, 2019 Chapter 7 Review

Chapter 6 – Applications of Integration

• February 25, 2019 – Areas Between Curves
• February 25, 2019 – Volume – Disk/Washer Method
• February 27, 2019 – Volume – Shell Method
• March 4, 2019 – Work
• March 6, 2019 Average Value of a Function

Chapter 8 – Further Applications of Integration

• March 6, 2019 Arc Length
• March 11, 2019 Surface Area of Revolution
• March 11-13, 2019 Applications to Physics & Engineering
• March 18, 2019 Exam Ch 6 & 8 Review/Prep

Chapter 11 – Sequences and Series

• March 25, 2019 Sequences
• March 27, 2019 Geometric Series
• April 8, 2019 Integral Test
• April 8, 2019 Comparison Tests
• April 10, 2019 Alternating Series Test
• April 10, 2019 Absolute Convergence, Ratio and Root Tests
• April 15, 2019 Strategies for Testing Series
• April 15, 2019 Power Series
• April 17, 2019 Representations of Functions as Power Series
• April 17, 2019 Taylor and Maclaurin Series
• April 24, 2019 Review for Ch 11 Exam

Chapter 9 – Differential Equations

• Sections 9.1, 9.2, 9.3, 9.5 Intro to Differential Equations
• May 6, 2019 Mixture Problems

Chapter 10 Parametric Equations and Polar Coordinates

• May 6, 2019 Parametric Equations
• May 8, 2019 Calculus with Parametric Equations
• May 14, 2019 Polar Coordinates
• May 14, 2019 Areas and Lengths in Polar Coordinates
• May 15, 2019 Final Exam Preparation Notes