## MAT A33 — Week 12

**We made it! This is the last week of classes.**

**Additional resources:**

- Double integrals on Khan Academy
- Iterated integrals on Wikipedia

**Notes:**

The notes are available here.

## MAT A33 — Week 11

**Quiz 5 is this week. Teaching evaluations start on March 22nd.**

**Additional resources:**

- Constrained optimization on Khan Academy
- Interpretations of Lagrange multipliers on Khan Academy
- Lagrange multipliers on Wikipedia

**3d Plotting Tools:**

**Notes:**

The notes are available here. Additional notes on optimization are here.

*Warning:* The PDF file is huge, and will take a long time load. A lower resolution scan of the notes is available here.

## MAT A33 — Week 10

Assignment 8 is online. Quiz 5 is next week.

**Additional resources:**

- Multivariate Min and Max from Khan Academy
- Second derivative test warmup from Khan Academy
- Second derivative test example from Khan Academy
- Hessian Matrix on Wikipedia

**Notes:**

The notes are available here. Extra notes on the Hessian are available here.

## MAT A33 — Week 9

**Quiz 4 is this week. Please write it in your tutorials.**

**Additional resources:**

- Second-order Partial Derivatives on Khan Academy
- Higher-order Partial Derivatives from Lamar Univeristy
- Higher-order Partial Derivatives on Wikipedia

**Notes:**

The notes are available here. Additional notes on the chain rule are here.

## MAT A33 — Week 8

**Additional resources:**

- Partial Derivatives on Khan Academy
- Implicit differentiation on Khan Academy
- Complementary Goods on Wikipedia

**Notes:**

The notes are available here. *Warning:* The PDF file is huge, and will take a long time load.

## MAT A33 — Week 7

Quiz 3 is this week. The midterm is tonight. Good luck!

**Additional resources:**

- Multi-variate functions on Khan Academy
- Level sets on Wikipedia

**Notes:**

The notes are available here.

## MAT A33 — Week 6

**Additional resources:**

- The official notes on determinants are here.
- 2×2 Determinants on Khan Academy
- 3×3 Determinants on Khan Academy
- Determinants on Wikipedia

**Notes:**

The notes are available here and extra notes on determinants are here. The official notes on determinants are here.

## MAT A33 — Week 5

**Quiz 2 is this week. Please write it in your tutorial.**

** Memorize your tutorial code and TA’s name for the midterm.
Office Hours? http://whenisgood.net/a33-office-hours
**

**Additional resources:**

- The inverse of a 2×2 matrix from Khan Academy.
- Matrix inverse example from Khan Academy.
- Invertible matrix on Wikipedia.

**Notes:**

The notes are available here. There are additional notes on matrix inversion available here.

## MAT A33 — Week 4

**Quiz 2 is next week. The midterm will be on Monday, Feb 13, 5pm – 6:50pm.**

**Additional resources:**

- Solving systems of equations using matrices from Math is Fun.
- Matrix Equations and Linear Systems from Khan Academy.
- Systems of linear equations on Wikipedia.

**Notes:**

The notes are available here.

## MAT A33 — Week 3

**Quiz 1 is this week! Please write it in your tutorial.**

**Additional resources:**

- Intro to matrices at Khan Academy
- Multiplying matrices at Khan Academy
- Matrices on Wikipedia

**Notes:**

The notes are available here. Additional material on the algebra and geometry of matrices is available here.

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