## MATH 101 - Calculus 2

### Announcements

None at this time.

### Term Tests

Test |
Sections of Textbook |
Sample Test |
Formulas to Know |

Test 1 | 5.7 Inverse Trigonometric Functions:
Differentiation 5.8 Inverse Trigonometric Functions: Integration 5.9 Hyperbolic Functions 7.1 Area of a Region Between Two Curves 7.2 Volume: The Disk Method 7.3 Volume: The Shell Method 7.4 Arc Length and Surfaces of Revolution 7.5 Work |
Sample Test 1W Solutions Sample Test 1X Solutions Sample Test 1Y Solutions Sample Test 1Z Solutions |
Test 1 Formulas |

Test 2 | 7.6 Moments, Centers of Mass, and Centroids 7.7 Fluid Pressure and Fluid Force 8.1 Basic Integration Rules 8.2 Integration by Parts 8.3 Trigonometric Integrals 8.4 Trigonometric Substitution 8.5 Partial Fractions 8.7 Integration by Tables and Other Integration Techniques 5.6 Indeterminate Forms and L'HÃ´pital's Rule 8.8 Improper Integrals |
Sample Test 2W Solutions Sample Test 2X Solutions Sample Test 2Y Solutions Sample Test 2Z Solutions |
Test 2 Formulas |

Test 3 | 9.1 Sequences 9.2 Series and Convergence 9.3 The Integral Test and p-Series 9.4 Comparisons of Series 9.5 Alternating Series 9.6 The Ratio and Root Tests 9.7 Taylor Polynomials and Approximations 9.8 Power Series 9.9 Representation of Functions by Power Series 9.10 Taylor and Maclaurin Series |
Sample Test 3W Solutions Sample Test 3X Solutions Sample Test 3Y Solutions Sample Test 3Z Solutions |
Test 3 Formulas |

Final Sections (covered on
final exam, along with everything else, but not Tests 1-3): 10.1 Conics and Calculus 10.2 Plane Curves and Parametric Equations 10.3 Parametric Equations and Calculus 10.4 Polar Coordinates and Polar Graphs 10.5 Area and Arc Length in Polar Coordinates |
Chapter 10 Formulas |

### Homework Problems

A list of recommended practice problems is available:

- 11th edition (current)
- 10th edition
- 9th edition

Solutions to the odd-numbered exercises from the textbook are available from CalcChat.com:

- 11th edition (current)
- 10th edition
- 9th edition

### Links to other MATH 101 Webpages

- Gilles Cazelais's MATH 101 webpage (including comprehensive Lecture Notes)
- Bogdan Verjinschi's MATH 101 webpage

### Links to Textbook Resources from Publisher

### Documents

- Appendix A - Proofs of Selected Theorems
- Appendix C - Precalculus Review
- Basic Geometry Formulas
- Basic Graphs (by Gilles Cazelais)
- Basic Trigonometric Identities (Sec P.4)
- Unit Circle (Sec P.4)
- Calculus Preview (Sec 1.1)
- Inverse Trigonometric Functions (Sec 5.7) (by Gilles Cazelais)
- Hyperbolic Formulas (Sec 5.9)
- Work Problems (Sec 7.5)
- Trigonometric Identities for Trigonometric Integrals (Sec 8.3)
- Trigonometric Substitution (Sec 8.4)
- Partial Fractions (Sec 8.5)
- Integration Tables (Appendix B) (Sec 8.7)
- Review of Limits (Sec 5.6)
- Indeterminate and Determinate Forms of Limits (Sec 5.6)
- Properties of Sequences (Sec 9.1)
- Properties of Series (Sec 9.2)
- Special Types of Series (Sec 9.2)
- Integral Test (Sec 9.3)
- Comparison Tests (Sec 9.4)
- Examples of Absolute vs. Conditional Convergence (Sec 9.5)
- Summary of Tests for Series (Sec 9.6)
- Sequences and Series - True or False? (Sec 9.6)
- Differentiation and Integration of Power Series (Sec 9.8)
- Important Taylor Series (Sec 9.10)
- Euler's Formula and Euler's Identity (Sec 9.10)