Lecture Notes

Below you will find guided lecture notes for the entirety of the class. You may print the blank versions of and bring them to class, filling in the details as we work through them. Alternatively you may want to print off the completed notes and simply annotate them with extra details and remarks discussed in class. Or you can simply ignore these notes and write your own. The choice is yours.

Complete Notes

Blank or Complete.

Chapter 8

Chapter 8: Techniques of Integration Blank or Complete

Section 8.1: Using Basic Integration Formulas Blank or Complete

Section 8.2: Integration by Parts Blank or Complete

Section 8.3: Trigonometric Integrals Blank or Complete

Section 8.4: Trigonometric Substitution Blank or Complete

Section 8.5: Integration by Partial Fractions Blank or Complete

Section 8.7: Numerical Integration Blank or Complete

Section 8.8: Improper Integrals Blank or Complete

Chapter 10

Chapter 10: Infinite Sequences and Series Blank or Complete

Section 10.1: Sequences Blank or Complete

Section 10.2: Infinite Series Blank or Complete

Section 10.3: The Integral Test Blank or Complete

Section 10.4: Comparison Tests for Series Blank or Complete

Section 10.5: Absolute Convergence & the Ratio and Root Tests Blank or Complete

Section 10.6: The Alternating Series Test Blank or Complete

Section 10.7: Power Series Blank or Complete

Section 10.8: Taylor and Maclaurin Series Blank or Complete

Section 10.9: Convergence of Taylor Series Blank or Complete

Chapter 11

Chapter 11: Parametric Equations and Polar Coordinates Blank or Complete

Section 11.1: Parameterisation of Plane Curves Blank or Complete

Section 11.2: Calculus with Parametric Equations Blank or Complete

Section 11.3: Polar Coordinates Blank or Complete

Section 11.5: Areas and Lengths in Polar Coordinates Blank or Complete