## MATH 100 - Calculus 1

### Announcements

None at this time.

### Term Tests

Test |
Sections of Textbook |
Sample Tests |

Test 1 | P.1 Graphs and
Models P.2 Linear Models and Rates of Change P.3 Functions and Their Graphs P.4 Review of Trigonometric Functions 1.1 A Preview of Calculus 1.2 Finding Limits Graphically and Numerically 1.3 Evaluating Limits Analytically 1.4 Continuity and One-Sided Limits 1.5 Infinite Limits 2.1 The Derivative and the Tangent Line Problem 2.2 Basic Differentiation Rules and Rates of Change 2.3 Product and Quotient Rules and Higher-Order Derivatives 2.4 The Chain Rule |
Sample Test 1U Solutions Sample Test 1V Solutions Sample Test 1W Solutions Sample Test 1X Solutions Sample Test 1Y Solutions Sample Test 1Z Solutions |

Test 2 | 2.5 Implicit
Differentiation 2.6 Related Rates 3.1 Extrema on an Interval 3.2 Rolle’s Theorem and the Mean Value Theorem 3.3 Increasing and Decreasing Functions and the First Derivative Test 3.4 Concavity and the Second Derivative Test 3.5 Limits at Infinity 3.6 A Summary of Curve Sketching 3.7 Optimization Problems 3.8 Newton’s Method 3.9 Differentials |
Sample Test 2U Solutions Sample Test 2V Solutions Sample Test 2W Solutions Sample Test 2X Solutions Sample Test 2Y Solutions Sample Test 2Z Solutions |

Test 3 | 4.1
Antiderivatives and Indefinite Integration 4.2 Area 4.3 Riemann Sums and Definite Integrals 4.4 The Fundamental Theorem of Calculus 4.5 Integration by Substitution 8.6 Numerical Integration 5.1 The Natural Logarithmic Function: Differentiation 5.2 The Natural Logarithmic Function: Integration 5.3 Inverse Functions 5.4 Exponential Functions: Differentiation and Integration 5.5 Bases Other Than e and Applications |
Sample Test 3U Solutions Sample Test 3V Solutions Sample Test 3W Solutions Sample Test 3X Solutions Sample Test 3Y Solutions Sample Test 3Z Solutions |

Final Sections (covered on
final exam, along with everything else, but not Tests 1-3): 6.2 Growth and Decay 6.3 Separation of Variables and the Logistic Equation |

### 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 100 Webpages

### Links to Textbook Resources from Publisher

### Documents

- MATH 100 Readiness Check
- Appendix A - Proofs of Selected Theorems
- Appendix C - Precalculus Review
- Basic Geometry Formulas
- Basic Graphs (by Gilles Cazelais)
- Transformations of Functions (Sec P.3)
- Basic Trigonometric Identities (Sec P.4)
- Unit Circle (Sec P.4)
- Calculus Preview (Sec 1.1)
- Limit Example (Sec 1.2)
- Properties of Limits (Sec 1.3)
- Implicit Differentiation Example (Sec 2.5)
- Related Rates Exercises (Sec 2.6)
- Definitions of Extrema (Sec 3.1)
- Example Showing Extrema (Sec 3.1)
- Increasing and Decreasing Functions (Sec 3.3)
- Concavity and Second Derivative Test (Sec 3.4)
- Analyzing and Graphing Functions with Examples (Sec 3.6)
- Optimization Guidelines and Problems (Sec 3.7)
- Differentials and Error Propagation (Sec 3.9)
- Basic Integration Rules (Sec 4.1)
- Summation (Sec 4.2)
- Riemann Sum and Definite Integral (Sec 4.3)
- Properties of Definite Integrals (Sec 4.3)
- Fundamental Theorem of Calculus (Sec 4.4)
- Numerical Integration (Sec 8.6)
- Interest (Sec 6.2)
- Exponential Growth and Decay Problems (Sec 6.2)