Math 131: Calculus I

Fall 2026

Department of Mathematics, Grinnell College

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

“The best thing for being sad," replied Merlin, beginning to puff and blow, "is to learn something. That's the only thing that never fails. You may grow old and trembling in your anatomies, you may lie awake at night listening to the disorder of your veins, you may miss your only love, you may see the world about you devastated by evil lunatics, or know your honour trampled in the sewers of baser minds. There is only one thing for it then — to learn. Learn why the world wags and what wags it. That is the only thing which the mind can never exhaust, never alienate, never be tortured by, never fear or distrust, and never dream of regretting. Learning is the only thing for you. Look what a lot of things there are to learn.”

― T.H. White, The Once and Future King