| MAT 202 Calculus II |
| Course Outline |
| Chapter 6: Transcendental Functions |
| The Natural Logarithm Function |
| Inverse Functions and Their Derivatives |
| The Natural Exponential Function |
| General Exponential and Logarithmic Functions |
| Exponential Growth and Decay |
| First-Order Linear Differential Equations |
| Approximations for Differential Equations |
| The Inverse Trigonometric Functions and Their Derivatives |
| The Hyperbolic Functions and Their Inverses |
| Chapter 7: Techniques of Integration |
| Basic Integration Rules |
| Integration by Parts |
| Some Trigonometric Integrals |
| Rationalizing Substitutions |
| Integration of Rational Functions Using Partial Fractions |
| Strategies for Integration |
| Chapter 8: Indeterminate Forms and Improper Integrals |
| Indeterminate Forms of Type 0/0 |
| Other Indeterminate Forms |
| Improper Integrals: Infinite Limits of Integration |
| Improper Integrals: Infinite Integrands |
| Chapter 9: Infinite Series |
| Infinite Sequences |
| Infinite Series |
| Positive Series: The Integral Test |
| Positive Series: Other Tests |
| Alternating Series, Absolute Convergence, and Conditional Convergence |
| Power Series |
| Operations on Power Series |
| Taylor and Maclaurin Series |
| The Taylor Approximation to a Function |
| Chapter 10: Conics and Polar Coordinates |
| The Parabola |
| Ellipses and Hyperbolas |
| Translation and Rotation of Axes |
| Parametric Representation of Curves in the Plane |
| The Polar Coordinate System |
| Graphs of Polar Equations |
| Calculus in Polar Coordinates |