| One of the best ways to study for the final exam is to work old
finals. Here is a sample MATH 200 final exam from my class in Spring 2021, and Here is the solved version. See the Test Archive for more. Here is a sample MATH 200 final exam developed by the math department, and Here is a video of me solving it. The list below indicates what material will be on our Fall 2023 exam. Content marked "Background material only" is important, but there will be no questions on the exam directly related to it. (But you will need some of this material to solve problems from other chapters.) |
| Lecture/Chapter |
Topic | Comments |
| 1 | Introduction | Background material only |
| 2 | Function Review | Background material only |
| 3 A, B | Trigonometric Functions | Background material only |
| 4 | Inverse Functions | Background material only |
| 5 A, B, C, D | Exponents and Logarithms | Background material only |
| 6 A, B | Inverse Trig Functions | Background material only |
| 7 |
Motivation for Limits | Not on Exam |
| 8 | Limit Laws | Know this |
| 9 |
Computing limits | Know this |
| 10 A |
Limits of Trig Functions | Know this |
| 10 B |
Squeeze theorem | Not on exam |
| 11 | Continuity | Know this |
| 12 | Infinite Limits | Know this |
| 13 A, B |
Limits at Infinity | Know this |
| 15 | Slopes of Tangents | Background material only |
| 16 | The Derivative | Know this |
| 17 | Derivative Rules | Know this |
| 18 A, B |
Examples | Background material only |
| 19 | Derivative of ex | Know this |
| 20 | Product and Quotient rules | Know this |
| 21 | Derivatives of Trig Functions | Know this |
| 22 | Higher Derivatives | Know this |
| 23 A, B | The Chain Rule | Know this |
| 24 | Derivatives of Inverses and Logarithms | Know this |
| 25 | Derivatives of Inverse Trig Functions | Know this |
| 26 | Meanings of the Derivative | Know this |
| 27 | Implicit Differentiation | Know this |
| 28 | Logarithmic Differentiation | Know this |
| 29 | Related Rates | Know this |
| 30 | Increase/Decrease | Know this |
| 31 | First Derivative Test | Know this |
| 32 | Concavity & Second Derivative Test | Know this |
| 33 | Absolute Extrema | Know this |
| 34 | Applied Optimization | Know this |
| 35 | Mean Value Theorem | Not on exam |
| 36 | Linear Approximation | Not on exam |
| 37 A, B, C |
L'Hopital's Rule | Know this |
| 38 | Antiderivatives | Know this |
| 39 A |
Initial Value Problems | Know this |
| 39 B, C |
Differentials & Differential Equations | Not on exam |
| 40 |
Area | Background material only |
| 41 A |
Definite Integrals | Know this |
| 41 B |
Other Definitions of Definite Integrals | Not on exam |
| 42 | Fundamental Theorem of Calculus | Know this |
| 43 | More on the Fundamental Theorem | Know this |
| 44 A, B, C |
Substitution Rule | Know this |
| 45 |
Working with Calculus | Know formulas for integrals of odd functions and average value |