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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