Topics covered in Math 222

The following topics will be covered in Math 222. All sections refer to sections of the textbook (Stewart Calculus 8e). 

 

Chapter 7

7.1 Integration by Parts

7.2 Trigonometric Integrals

7.3 Trigonometric Substitution 

7.4 Integration of Rational Functions by Partial Fractions

7.5 Strategy for Integration 

7.8 Improper Integrals 

 

Chapter 9

9.1 Modeling with Differential Equations

9.2 Direction Fields and Euler’s Method 

9.3 Separable Equations

9.4 Models for Population Growth

9.5 Linear Equations 

 

Chapter 11

11.1 - Sequences

11.2 - Series

11.3 The Integral Test and Estimates of Sums

11.4 The Comparison Tests

11.5 Alternating Series

11.6 Absolute Convergence and the Ratio and Root Tests

11.7 Strategy for Testing Series 

11.8 Power Series

11.9 Representations of Functions as Power Series

11.10 Taylor and Maclaurin Series

11.11 Applications of Taylor Polynomials 

 

Chapter 12

12.1 Three-Dimensional Coordinate Systems

12.2 Vectors

12.3 The Dot Product

12.4 The Cross Product

12.5 Equations of Lines and Planes