## 32A Multivariable Calculus, FALL 2018

__Information__

**Instructor:** Clover May

**TA:** Sang Truong

__TA Contact Info__

**Office Hours:** Tuesdays 3pm-4pm and Thursday 1pm-2pm in 154 Royce Hall **(note that this is not my usual office)**

**Email:** **sangtt@math.ucla.edu**

__Class Materials__

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Worksheet #0** Warm-up exercises to review single variable calculus (differentiations and integrations and limits).
**[Solution]**

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Note #1** Sections 13.1, 13.2, 13.3

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Worksheet #1** Sections 13.1, 13.2, 13.3
**[Solution]**

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Note #2** Sections 13.4, 13.5, 13.6

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Worksheet #2** Sections 13.4, 13.5, 13.6
**[Solution]**

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Note #3** Sections 12.1, 14.1, 14.2

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Worksheet #3** Sections 12.1, 14.1, 14.2
**[Solution]**

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Practice Midterm 1** Extra problems to prepare for Midterm 1
**[Solution]**

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Note #4** Sections 14.3, 14.4, 14.5

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Worksheet #4** Sections 15.1, 15.2, 15.3
**[Solution]**

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Note #5** Sections 15.1, 15.2, 15.3

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Worksheet #5** Sections 15.4, 15.5
**[Solution]**

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Note #6** Sections 15.4, 15.5

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Graph matching and Contours** Some graph and contour matching exercises. Solutions are included in the file.

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Practice Midterm 2** Extra problems to prepare for Midterm 2
**[Solution]**

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Contour map note** An example to show how to determine the signs of partial derivatives using contour maps.

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Note #7** Sections 15.6, 15.7

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Worksheet #6** Sections 15.6, 15.7
**[Solution]**

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Note #8** Sections 15.8

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Worksheet #7** Sections 15.8
**[Solution]**

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Practice Final** Extra problems to prepare for the Final.
**[Solution]**

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Solution to Problem 15 Section 15.8** Some remarks about Lagrange multiplier method are included.