Tentative Outline
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Calculus: Applications and Technology (3rd edition), by E. Tomastik
Days named “Review” can also be used as catch up days.
| Week | Section | Topic | Worksheets | Worksheet Solutions |
|---|---|---|---|---|
| 1 | A.1 | Exponents and Roots | Worksheet A.1 | Solutions |
| A.2 | Polynomials and Rational Functions | Worksheet A.2 | Solutions | |
| A.6 | Lines | Worksheet A.6 | Solutions | |
| Quiz 1 A.1 | ||||
| 2 | 1.1 | Functions | Worksheet 1.1 | Solutions |
| 1.4 | Combinations of Functions | Worksheet 1.4 | Solutions | |
| Quiz 2 A.2, A.6 | ||||
| 3 | 1.2 | Mathematical models | Worksheet 1.2 | Solutions |
| 1.3 | Exponential Models | Worksheet 1.3 | Solutions | |
| Quiz 3 1.1, 1.4 | ||||
| 4 | 1.5 | Logarithms | Worksheet 1.5 | Solutions |
| 3.1 | Limits | Worksheet 3.1 | Solutions | |
| Quiz 4 1.2 and 1.3 | ||||
| 5 | 3.2 | Rates of Change | Worksheet 3.2 | Solutions |
| 3.3 | The Derivative | Worksheet 3.3 | Solutions | |
| Review | ||||
| Quiz 5 1.5 and 3.1 | ||||
| 6 | Exam 1 (Mon, Sep 30, in class) | |||
| 4.1 | Derivatives of powers, exponents and sums | Worksheet 4.1 | Solutions | |
| 4.2 | Derivatives of products and quotients | Worksheet 4.2 | Solutions | |
| No Quiz | ||||
| 7 | 4.3 | Chain rule | Worksheet 4.3 | Solutions |
| 4.4 | Derivatives of exponential and logarithmic functions | Worksheet 4.4 | Solutions | |
| 3.4 | Local Linearity | Worksheet 3.4 | Solutions | |
| Quiz 6 4.1 and 4.2 | ||||
| 8 | 4.5 | Elasticity of Demand | Worksheet 4.5 | Solutions |
| 5.1 | The first derivative | Worksheet 5.1 | Solutions | |
| Quiz 7 4.3, 4.4 and 3.4 | ||||
| 9 | 5.2 | The second derivative | Worksheet 5.2 | Solutions |
| 5.3 | Limits at infinity | Worksheet 5.3 | Solutions | |
| Quiz 8 4.5 and 5.1 | ||||
| 10 | 5.4 | Curve sketching | Worksheet 5.4 | Solutions |
| 5.5 | Absolute Extrema | Worksheet 5.5 | Solutions | |
| Quiz 9 5.2 and 5.3 | ||||
| 11 | 5.6 | Optimization and modeling | Worksheet 5.6 | Solutions |
| Review | ||||
| Quiz 10 5.4 and 5.5 | ||||
| 12 | Exam 2 (Mon, Nov 11, in class) | |||
| 6.1 | Antiderivatives | Worksheet 6.1 | Solutions | |
| 6.2 | Substitution | Worksheet 6.2 | Solutions | |
| No Quiz | ||||
| 13 | 6.4 | The definite integral | Worksheet 6.4 | Solutions |
| 6.5 | The fundamental theorem of calculus | Worksheet 6.5 | Solutions | |
| Quiz 11 6.1 and 6.2 | ||||
| — | ||||
| Thanksgiving Break | ||||
| 14 | 6.6 | Area between two curves | Worksheet 6.6 | Solutions |
| Review | ||||
| Quiz 12 6.4, 6.5 and 6.6 | ||||
| Finals Week | Cumulative Final | Final Exam Review Packet | Solutions |