| General Information | Syllabus | Homework Assignments | Exam Related |
| Lectures | Sections in the Textbook | Brief Description |
|---|---|---|
| Day 1: Monday, Jan 5 | 1.2, 1.3, 1.4 | The Inner Product, Length, and Distance; Matrices, Determinants, and the Cross Product (brief recollection); Cylindrical and Spherical Coordinates |
| Day 2: Wednesday, Jan 7 | 1.5, 2.2 | n-dimensional Euclidean Space; Limits and Continuity (briefly); |
| Day 3: Friday, Jan 9 | 2.3, 3.1 | Differentiation; Iterated Partial Derivatives |
| Saturday, Jan 10 | Classes shifted to the X-hour. | |
| Day 4: Monday, Jan 12 | 3.1, 3.2 | Iterated Partial Derivatives (cont); Taylor's Theorem |
| Day 5: Tuesday, Jan 13 X-hour instead of Jan 10 |
3.3 | Extrema of Real-Valued Functions |
| Day 6: Wednesday, Jan 14 | 3.5 | The Implicit Function Theorem |
| Day 7: Friday, Jan 16 | 4.1, 4.3 | Acceleration and Newton's Second Law; Vector Fields |
| Friday, Jan 16 | Last day to add/drop | |
| Monday, Jan 19 | Martin Luther King Jr. Day. Classes moved to the X-hour. | |
| Day 8: Tuesday, Jan 20 X-hour instead of Jan 19 |
4.4 | Divergence and Curl |
| Day 9: Wednesday, Jan 21 | 5.1 | The Double Integral |
| Day 10: Friday, Jan 23 | 5.2 | The Double Integral over a Rectangle |
| Day 11: Monday, Jan 26 | 5.3, 5.4 | The Double Integral over More General Regions; Changing the Order of Integration |
| Monday, Jan 26 evening | First Midterm 4PM - 6PM | |
| Day 12: Wednesday, Jan 28 | 5.5 | The Triple Integral |
| Day 13: Friday, Jan 30 | 6.1 | The Geometry of Maps from R2 to R2 |
| Day 14: Monday, Feb 2 | 6.2 | The Change of Variables Theorem |
| Day 15: Wednesday, Feb 4 | 6.3 | Applications |
| Day 16: Friday, Feb 6 | 6.4, 7.1 | Improper Integrals; The Path Integral |
| Day 17: Monday, Feb 9 | 7.2 | Line Integrals |
| Day 18: Wednesday, Feb 11 | 7.3 | Parametrized Surfaces |
| Friday, Feb 13 | Winter Carnival holiday. Classes moved to the X-hour. | |
| Day 19: Monday, Feb 16 | 7.4 | Area of a Surface |
| Day 20: Tuesday, Feb 17 X-hour instead of Feb 13 |
7.5 | Integrals of Scalar Functions over Surfaces |
| Day 21: Wednesday, Feb 18 | 7.6 | Surface Integrals of Vector Fields |
| Wednesday, Feb 18 evening | Second Midterm 4PM - 6PM | |
| Day 22: Friday, Feb 20 | 7.7 | Applications to Differential Geometry, Physics, and Forms of Life |
| Day 23: Monday, Feb 23 | 8.1 | Green's Theorem |
| Tuesday, Feb 24 | Last day to drop | |
| Day 24: Wednesday, Feb 25 | 8.2 | Stokes' Theorem |
| Day 25: Friday, Feb 27 | 8.3 | Conservative Fields |
| Day 26: Monday, Mar 1 | 8.4 | Gauss' Theorem |
| Day 27: Wednesday, Mar 3 | 8.5 | Some Differential Equations of Mechanics and Technology |
| Day 28: Friday, Mar 5 | 8.6 | Differential Forms |
| Day 29: Monday, Mar 8 | -- | Review etc. |