MAT 1475 Calculus
| Class | Topic | Video Resource |
|---|---|---|
| 1 | The Limit of a Function | The Limit of a Function |
| 2 | The Limit Laws | The Limit Laws |
| 3 | Continuity | Continuity |
| 4 | Defining the Derivative | Defining the Derivative |
| 5 | The Derivative as a Function | The Derivative as a Function |
| 6 | Differentiation Rules | Differentiation Rules |
| 7 | Derivatives as Rates of Change | Derivatives as Rates of Change |
| 8 | Derivatives of Trigonometric Functions | Derivatives of Trigonometric Functions |
| 9 | The Chain Rule | The Chain Rule |
| 10 | Derivatives of Inverse Functions | Derivatives of Inverse Functions |
| 11 | Implicit Differentiation | Implicit Differentiation |
| 12 | Derivatives of Exponential and Logarithmic Functions | Derivatives of Exponential and Logarithmic Functions |
| 13 | Related Rates | Related Rates |
| 14 | Linear Approximations and Differentials | Linear Approximations and Differentials |
| 15 | Maxima and Minima | Maxima and Minima |
| 16 | The Mean Value Theorem | The Mean Value Theorem |
| 17 | Derivatives and the Shape of a Graph | Derivatives and the Shape of a Graph |
| 18 | Limits at Infinity and Asymptotes | Limits at Infinity and Asymptotes |
| 19 | Drawing the Graph of a Function | Drawing the Graph of a Function |
| 20 | Applied Optimization | Applied Optimization |
| 21 | L’Hôpital’s Rule | L’Hôpital’s Rule |
| 22 | Antiderivatives | Antiderivatives |
| 23 | Approximating Areas | Approximating Areas |
| 24 | The Definite Integral | The Definite Integral |
| 25 | The Fundamental Theorem of Calculus | The Fundamental Theorem of Calculus |
| 26 | Final Exam Review | Selected Final Exam Review Questions |
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