| MAT 201 Calculus I (Hawks Version) | |||||||||||
| Course Outline | |||||||||||
| Chapter One-Functions, Models and Graphs | |||||||||||
| 1.1 | Real Numbers and Number Lines | ||||||||||
| 1.2 | Integer Exponents | ||||||||||
| 1.3 | Fractional Exponents and Radicals | ||||||||||
| 1.4 | Polynomials | ||||||||||
| 1.5 | Lines and Their Graphs | ||||||||||
| 1.6 | Functions | ||||||||||
| 1.7 | Functions and Their Graphs: A Calculator Section | ||||||||||
| 1.8 | Functions and Models | ||||||||||
| Chapter Two-Limits, Slopes, and the Derivative | |||||||||||
| 2.1 | Limits | ||||||||||
| 2.2 | Rates of Change and Derivatives | ||||||||||
| 2.3 | Slope and Rate of change considered Algebraically | ||||||||||
| 2.4 | Applications: Marginal Analysis | ||||||||||
| 2.5 | More About Limits and Continuity | ||||||||||
| Chapter Three-Algebraic Differentiation Rules | |||||||||||
| 3.1 | Product and Quotient Rules | ||||||||||
| 3.2 | The Chain Rule and the General Power Rule | ||||||||||
| 3.3 | Implicit Differentiation and Related Rates | ||||||||||
| 3.4 | Local Extrema and the First Derivative Test | ||||||||||
| 3.5 | Absolute Maximum and Minimum | ||||||||||
| Chapter Four-Applications of the Derivative | |||||||||||
| 4.1 | Higher-Order Derivatives: Concavity and the 2nd Derivative Test | ||||||||||
| 4.2 | Curve Sketching: Polynomial Functions | ||||||||||
| 4.3 | Curve Sketching: Rational Functions | ||||||||||
| 4.4 | Business Applications | ||||||||||
| 4.5 | Other Applications | ||||||||||
| 4.6 | Differentials | ||||||||||
| Chapter Five-Exponential and Logarithmic Functions | |||||||||||
| 5.1 | Exponential Functions | ||||||||||
| 5.2 | The Algebra of the Natural Logarithm Function | ||||||||||
| 5.3 | Differentiation of Logarithmic Functions | ||||||||||
| 5.4 | Differentiation of Exponential Functions | ||||||||||
| 5.5 | Applications of Exponential Functions | ||||||||||