Math 131: Calculus I
Fall 2025
Department of Mathematics and Statistics, Grinnell College
| Class # | Date | Reading | Brief description | Assignment |
|---|---|---|---|---|
| 1 | F Aug 29 | 1.1-1.2 | Functions and their many representations | - |
| - | M Sep 1 | - | No class - labor day | - |
| 2 | W Sep 3 | 1.3 | New functions from old | Quiz 1 |
| 3 | F Sep 5 | 1.4-1.5 | Exponentials, logarithms, and inverse functions | - |
| 4 | M Sep 8 | 2.1 | The tangent and velocity problems | HW 1 |
| 5 | W Sep 10 | 2.2 | The limit of a function | Quiz 2 |
| 6 | F Sep 12 | 2.3 | Calculating limits | - |
| 7 | M Sep 15 | 2.4 | The precise definition of the limit | HW 2 |
| 8 | W Sep 17 | 2.5 | Continuity | Quiz 3 |
| 9 | F Sep 19 | 2.6 | Limits at infinity and horizontal asymptotes | - |
| 10 | M Sep 22 | 2.7 | Derivatives and rates of change | HW 3 |
| 11 | W Sep 24 | 2.8 | The derivative as a function | Quiz 4 |
| 12 | F Sep 26 | 3.1 | Derivatives of polynomials and exponential functions | - |
| 13 | M Sep 29 | 3.2 | The product/quotient rule | HW 4 |
| 14 | W Oct 1 | 3.3 | Derivatives of trigonometric functions | Quiz 5 |
| 15 | F Oct 3 | 3.4 | The chain rule | - |
| 16 | M Oct 6 | 3.5 | Implicit differentiation | HW 5 |
| 17 | W Oct 8 | 3.6 | Derivatives of logarithms and inverse trigonometric functions | Quiz 6 |
| 18 | F Oct 10 | 3.9 | Related rates | - |
| 19 | M Oct 13 | 3.9 | Related rates | HW 6 |
| 20 | W Oct 15 | - | Q & A | - |
| 21 | F Oct 17 | - | Midterm 1 | Exam |
| - | Oct 20 - 24 | - | No class - fall break | - |
| 22 | M Oct 27 | 3.7 | Rates of change in the sciences | - |
| 23 | W Oct 29 | 4.1 | Maximum/minimum values | - |
| 24 | F Oct 31 | 4.3 | Derivatives and graphs of functions | - |
| 25 | M Nov 3 | 4.4 | Indeterminate forms and L'Hospital's rule | HW 7 |
| 26 | W Nov 5 | 4.5 | Curve sketching | Quiz 7 |
| 27 | F Nov 7 | 4.6 | Curve sketching | - |
| 28 | M Nov 10 | 4.7 | Optimization | HW 8 |
| 29 | W Nov 12 | 4.7 | Optimization | Quiz 8 |
| 30 | F Nov 14 | - | ||
| 31 | M Nov 17 | - | Q & A | - |
| 32 | W Nov 19 | - | Midterm 2 | Exam |
| 33 | F Nov 21 | 4.9 | Antiderivatives | - |
| 34 | M Nov 24 | 5.1 | The area and distance problems | HW 9 |
| 35 | W Nov 26 | 5.2 | The definite integral | Quiz 9 |
| - | Nov 27 - 31 | - | No class - Thanksgiving break | - |
| 36 | M Dec 1 | 5.3 | The fundamental theorem of calculus | - |
| 37 | W Dec 3 | 5.4 | Indefinite integrals and the Net Change Theorem | - |
| 38 | F Dec 5 | 5.5 | Substitution rule | - |
| 39 | M Dec 8 | 7.1 | Integration by parts | HW 10 |
| 40 | W Dec 10 | 6.1-6.2 | Areas/volumes | Quiz 10 |
| 41 | F Dec 12 | 6.3 | Volumes by cylindrical shells | - |
| 42 | Th Dec 18 | - | Final Exam | Exam |
