Math 133: Calculus II
Fall 2026
Department of Mathematics and Statistics, Grinnell College
| Class # | Date | Reading | Brief description | Assignment |
|---|---|---|---|---|
| Analytical Geometry | ||||
| 1 | F Aug 28 | 10.1 | Introduction, Parametric Equations | -- |
| 2 | M Aug 31 | 10.1 | Parametric Equations, Cycloids | -- |
| 3 | W Sep 2 | 12.1, 12.2 | Higher Dimensions, Vectors | Quiz 1 |
| 4 | F Sep 4 | 12.3, 12.4 | Dot Product, Cross Product | HW 1 |
| -- | M Sep 7 | -- | No Class -- Labor Day | -- |
| 5 | W Sep 9 | 12.5 | Equations of Lines in Three Dimensions | Quiz 2 |
| 6 | F Sep 11 | 12.5 | Equations of Planes | HW 2 |
| Differentiation and Applications | ||||
| 7 | M Sep 14 | 13.1, 13.2 | Vector-Valued Functions and Derivatives | -- |
| 8 | W Sep 16 | 13.4, 14.1 | Motion in Space, Functions of Several Variables | Quiz 3 |
| 9 | F Sep 18 | 14.1, 14.2 | Level Curves, Limits and Continuity | HW 3 |
| 10 | M Sep 21 | 14.3 | Partial Derivatives | -- |
| 11 | W Sep 23 | 14.4 | Tangent Planes, Differentiability | -- |
| 12 | F Sep 25 | -- | Exam 1 | Exam |
| 13 | M Sep 28 | 14.5 | The Chain Rule | -- |
| 14 | W Sep 30 | 14.6 | Directional Derivatives, The Gradient | Quiz 4 |
| 15 | F Oct 2 | 14.6 | The Gradient, Tangent Planes to Level Surfaces | HW 4 |
| 16 | M Oct 5 | 14.7 | Local Max/Mins for Functions of Two Variables | -- |
| 17 | W Oct 7 | 14.7 | Absolute Max/Mins | Quiz 5 |
| 18 | F Oct 9 | 14.8 | Lagrange Multipliers | HW 5 |
| Multiple Integrals | ||||
| 19 | M Oct 12 | 7.1 | Integration Review, Integration by Parts | -- |
| 20 | W Oct 14 | 7.1, 7.2 | Integration by Parts, Trigonometric Integrals | -- |
| 21 | F Oct 16 | -- | Exam 2 | Exam |
| -- | Oct 17--25 | -- | No Class -- Fall Break | -- |
| 22 | M Oct 26 | 7.3 | Trigonometric Substitution | -- |
| 23 | W Oct 28 | 7.4 | Partial Fractions Decomposition | Quiz 6 |
| 24 | F Oct 30 | 7.8 | Improper Integrals | HW 6 |
| 25 | M Nov 2 | 8.1, 13.3 | Arc Length | -- |
| 26 | W Nov 4 | 15.1, 15.2 | Double Integrals and Iterated Integrals over Rectangles | Quiz 7 |
| 27 | F Nov 6 | 15.3 | Double Integrals over General Regions | HW 7 |
| 28 | M Nov 9 | 15.3, 10.3 | Switching the Order of Integration, Polar Coordinates | -- |
| 29 | W Nov 11 | 15.4 | Double Integrals in Polar Coordinates | Quiz 8 |
| 30 | F Nov 13 | 15.5 | Applications of Double Integrals | HW 8 |
| 31 | M Nov 16 | 15.6 | Triple Integrals | -- |
| 32 | W Nov 18 | 15.7 | Triple Integrals in Cylindrical Coordinates | Quiz 9 |
| 33 | F Nov 20 | 15.7 | Triple Integrals in Spherical Coordinates | HW 9 |
| 34 | M Nov 23 | 15.8 | Triple Integrals in Spherical Coordinates | -- |
| 35 | W Nov 25 | -- | Exam 3 | Exam |
| -- | Nov 26--29 | -- | No Class -- Thanksgiving Break | -- |
| 36 | M Nov 30 | 15.9 | General Change of Variables | -- |
| 37 | W Dec 2 | 15.9 | General Change of Variables | Quiz 10 |
| Vector Calculus | ||||
| 38 | F Dec 4 | 16.1 | Vector Fields | HW 10 |
| 39 | M Dec 7 | 16.2 | Line Integrals | -- |
| 40 | W Dec 9 | 16.3 | Fundamental Theorem for Line Integrals | Quiz 11 |
| 41 | F Dec 11 | 16.3 | Line Integrals and Conservative Vector Fields | HW 11 |
| -- | Tu Dec 15 | -- | Final Exam | Exam |
