| Text: |
Calculus: Early Transcendentals UD Custom pkg by James Stewart, 7th Edition Cengage |
| Final Exam | Sample M241 Final Exam (requires the free Acrobat Reader software installed) |
| Topics Covered: | |
| Chapter 1 | Functions and Models |
| 1.5 | Exponential Functions (review) |
| 1.6 | Inverse Functions and Logarithms (review) |
| Chapter 2 | Limits and Derivatives |
| 2.1 | The Tangent and Velocity Problems |
| 2.2 | The Limit of a Function |
| 2.3 | Calculating Limits Using the Limit Laws |
| 2.5 | Continuity |
| 2.6 | Limits at Infinity: Horizontal Asymptotes |
| 2.7 | Derivatives and Rates of Change |
| 2.8 | The Derivative as a Function |
| Chapter 3 | Differentiation Rules |
| 3.1 | Derivatives of Polynomials and Exponential Functions |
| 3.2 | The Product and Quotient Rules |
| 3.3 | Derivatives of Trigonometric Functions |
| 3.4 | The Chain Rule |
| 3.5 | Implicit Differentiation |
| 3.6 | Derivatives of Logarithmic Functions |
| 3.8 | Exponential Growth and Decay |
| 3.9 | Related Rates |
| 3.10 | Linear Approximations and Differentials (Do linear approximations) |
| 3.11 | Hyperbolic Functions (Don't cover inverse hyperbolic functions) |
| Chapter 4 | Applicatons of Differentiation |
| 4.1 | Maximum and Minimum Values |
| 4.2 | The Mean Value Theorem |
| 4.3 | How Derivatives Affect the Shape of a Graph |
| 4.7 | Optimization Problems |
| 4.9 | Antiderivatives |
| Chapter 5 | Integrals |
| 5.1 | Areas and Distances |
| 5.2 | The Definite Integral |
| 5.3 | The Fundamental Theorem of Calculus |
| 5.4 | Indefinite Integrals and the Net Change Theorem |
| 5.5 | The Substitution Rule |
| Chapter 9 | Differential Equations |
| 9.4 | Models for Population Growth |
| 9.6 | Predator-Prey Systems (optional) |
