Math 212
Multivariate Calculus

Progression

The problems suggested here for practice are not to be turned in. For the weekly written assignments, consult the homework page.

	Date	Reading	Topic	Suggested problems
1	8/30	12.1	Coordinate systems	12.1: 4, 6, 7, 12, 13, 15, 18, 19, 21, 25, 27, 31, 32, 35, 38, 41, 42, 44, 45
	9/01	12.2	Vectors	12.2: 4, 5, 7, 12, 13, 16, 17, 21, 22, 23, 24, 26, 27, 34, 35, 41
2	9/04	12.3	The dot product	12.3: 1, 2, 4, 7, 9, 15, 17, 22, 23, 26, 27, 29, 39, 41, 43, 45, 47, 48, 49, 50
	9/06	12.4	The cross product	12.4: 1, 3, 6, 7, 9, 11, 12, 13, 15, 19, 23, 27, 29, 33, 34, 35, 37, 38, 42, 43, 44
	9/08	12.5	Line equations	12.5: 2, 3, 4, 5, 7, 10, 11, 12, 13, 14, 15, 17, 19, 20, 21, 22
3	9/11	12.5	Plane equations	12.5: 25, 27, 30, 31, 35, 36, 39, 41, 45, 47, 51, 55, 57, 59, 61, 68, 71, 73, 77
	9/13	12.5	Line & planes
	9/15		Geometry review
4	9/18	12.6	Quadric surfaces	12.6: 1, 2, 3, 4, 5, 6, 8, 11, 12, 13, 14, 15, 16
	9/20	13.1	Space curves	13.1: 1, 3, 4, 5, 6, 7, 8, 10, 11, 17, 19, 20, 27, 28, 31, 41, 42, 43, 44, 45
	9/22	13.2	Derivatives	13.2: 3, 5, 6, 7, 9, 10, 11, 12, 14, 15, 16, 17, 19, 21, 23, 27, 45*, 46*, 57*
5	9/25		Midterm 1
	9/27	13.2	Integrals	13.2: 35, 36, 37
	9/29	13.3	Arc length	13.3: 1, 2, 3, 4, 5, 6, 11, 13, 14, 15, 16
6	10/02	13.3	Curvature	13.3: 17, 18, 19, 20, 21, 22, 23, 24, 25, 27, 29, 32, 38, 47, 48, 49, 50, 53, 55
	10/04	14.1	Multivariate functions	14.1: 9, 10, 11, 13, 14, 17, 19, 20, 23, 24, 27, 29, 32, 36, 38, 45, 46, 47, 61-66
	10/06	14.2	Limits	14.2: 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19
7	10/09	14.2	Continuity	14.2: 25, 26, 29, 30, 31, 32, 33, 34, 36, 37, 39, 40, 41,
	10/11	14.3	Partial derivatives	14.3: 15 to 46, 51 to 72, 75 to 80
	10/13	14.4	Linearizations	14.4: 1 to 6, 11 to 19
8	10/18	14.5	The Chain Rule	14.5: 1 to 34, 45 to 54
	10/20		Review
9	10/23		Midterm 2
	10/25	14.6	The gradient	14.6: 4 to 17, 19 to 26
	10/27	14.6	The gradient	14.6: 37, 39 to 46, 49 to 63
10	10/30	14.7	Extremal values	14.7: 1,2, 5 to 22, 31 to 38, 41 to 53, 59*
	11/01	14.8	Lagrange multipliers	14.8: 3 to 23, 25, 31 to 43
	11/03		Extrema
11	11/06	15.1	Rectangle integrals	15.1: 2, 9 to 11, 15 to 34, 37 to 43
	11/08	15.2	Double integrals	15.2: 1 to 22, 35 to 38
	11/10	15.2	Double integrals	15.2: 45 to 56, 61, 62
12	11/13	15.3	Polar coordinates	15.3: 1 to 12, 17, 18, 29 to 32, 37, 38, 39, 40*
	11/15		Review
	11/17		Midterm 3
13	11/20		Loose ends
	11/22		Break
	11/24		Break
14	11/27	15.3	Polar coordinates
	11/29	15.4	Applications	15.4: 1 to 16
	12/01	16.6	Parametric surfaces	16.6: 1 to 6, 13 to 26, 33 to 36
15	12/04	16.6	Surface areas	16.6: 39 to 50
	12/06	15.9	Change of variables	15.9: 1 to 19, 21(a), 23 to 27, 28*
	12/08		Wrap up

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