The following is a tentative syllabus for the course. This page will be updated irregularly. On the other hand, the weekly syllabus contained in the Homework assignments page will always be accurate.
| Lectures | Sections in Text | Brief Description |
|---|---|---|
| 9/16 M | Stewart 12.1 | Introduction to 3-d coordinate system and distance |
| 9/18 W | Stewart 12.2 | Vectors |
| 9/20 F | Linear Algebra 1.1-1.2 |
Linear equations and row reduction |
| 9/23 M | Linear Algebra 2.1 | Linear combinations and spanning sets |
| 9/24 T (X-hour) | Linear Algebra 2.2 | Using basis to provide a map of a subspace |
| 9/25 W | Libear Algebra 2.3 | Vector equations of lines and planes |
| 9/27 F | Stewart 12.3 | Dot products and orthogonality |
| 9/30 M | Stewart 12.3-12.4 |
Projections, cross products |
| 10/2 W | Stewart 12.5 | Equations of lines and planes |
| 10/4 F | Stewart 13.1-13.2 |
Vector valued functions, space curves |
| 10/7 M | Review | 10/8 T | Exam 1: 5:00-6:30 |
| 10/9 W | Stewart 13.2-13.3 |
Derivatives and integrals of vector valued functions, arclength |
| 10/11 F | Stewart 14.1 | Functions of several variables and level sets |
| 10/14 M | Linear Algebra 3.1-3.2 | Matrix Operations | 10/15 T (X-hour) | Stewart 14.2 | Limit of functions in several variables |
| 10/16 W | Stewart 14.3, Linear Algebra 4.1 | Partial derivatives and directional derivatives |
| 10/18 F | Linear Algebra 4.1 | Directional Derivatives |
| 10/21 M | Linear Algebra 4.2 | Differentiable functions and tangent planes | 10/22 T (X-hour) | Linear Algebra 5.1-5.2 | The language of functions, linear transformations |
| 10/23 W | Linear Algebra 5.2 | Visualizing linear transformation |
| 10/25 F | Linear Algebra 5.3-5.4 | Linear properties, rotations/reflections |
| 10/28 M | Linear Algebra 5.6 | Composition of linear transformations | 10/29 T | Exam 2: 5:00-6:30 |
| 10/30 W | Linear Algebra 6.1-6.2 | Derivatives of real-valued functions |
| 11/1 F | No Class | |
| 11/4 M | Linear Algebra 6.2 | Derivatives of higher dimensions |
| 11/5 T (X-hour) | Stewart 14.6 | Maximizing directional derivatives |
| 11/6 W | Stewart 14.6 Linear Algebra 6.4 |
The chain rule |
| 11/8 F | Stewart 14.7 | Min/Max for functions with several variables |
| 11/11 M | Stewart 14.7 | Min/Max for functions with several variables |
| 11/13 W | Stewart 14.8 | Lagrange multipliers |
| 11/15 F | Stewart 14.8 | Lagrange multipliers | 11/18 M | Review | 11/24 Sun | Final Exam: 3:00-6:00 |