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Math 2110 -- Multivariable Calculus --
Fall 2014
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teplyaev math.uconn.edu
http://www.math.uconn.edu/~teplyaev
office: MSB 222
office hours: Monday, Wednesday, Friday -- 11:00am - 1:00pm (to confirm time, send me email before coming)
HW: read the assigned sections, including examples, and do the suggested exercises. Ask questions in class.
Grading policy: there
will be 5 tests in class, one after each chapter.
Each chapter test contributes 20% for the final grade.
The final exam can replace up to two chapter tests (when the final grade is computed, the lowest scores are not included).
WebAssign will be setup within 1 week.
With extended deadline and multiple attempts allowed,
it is expected that each student will have 100%
results on WebAssign HW.
Each 1%
missed on the WebAssign HW will be subtracted from the final results.
The textbook HW is not graded, but the tests will be based on these problems.
| date
| sections
| topics
| HW
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| M, Aug 25
| 12.1, 12.2
| 3D, Vectors in three dimensions
| all odd
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| W, Aug 27
| 12.3
| Dot product
| 1--51 odd
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| F, Aug 29
| 12.4
| Cross product
| 1--41 odd
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| M, Sept 1
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| no class, Labor Day
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| W, Sept 3
| 12.5
| Lines and planes in space
| 1--75 odd
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| F, Sept 5
| 12.6
| Cylinders and quadric surfaces
t.nb
t.html
| 1--35 odd
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| M, Sept 8
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| review
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| W, Sept 10
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| Test 1 based on the HW given above and examples in the textbook. One hand written page of notes is allowed.
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| F, Sept 12
| 13.1
| Curves
curves.nb
curves.html
curves-tangent.nb
curves-tangent.html
| 1--27 odd
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| M, Sept 15
| 13.2
| Derivatives and integrals
| 9--25 and 33-39 odd
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| W, Sept 17
| 13.3
| Arc Length and Curvature
| 1--29 odd
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| F, Sept 19
| 13.4
| Motion in space: velocity and acceleration
| 3--15 odd, and 37, 39, 41
review ## 9, 11, 17
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| M, Sept 22
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| Test 2 based on the HW given above and examples in the textbook. One hand written page of notes is allowed.
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| W, Sept 24
| 14.1
14.2
| Functions of several variables
Limits and continuity
Plot3D.nb
Plot3D.html
| 14.1 ## 7--29 odd
14.1## 5--21 odd
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| F, Sept 26
| 14.3
| Partial derivatives
| 11, 15-59 odd
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| M, Sept 29
| 14.4
| Tangent planes and linear approximations Plot3D-tangent.nb
Plot3D-tangent.html
| 1--19 odd
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| W, Oct 2
| 14.5
| The chain rule
| 1--11 and 27--33 odd
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| F, Oct 3
| 14.6
| Directional derivatives and the gradient vector
| 5--33 odd
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| M, Oct 6
| 14.7
| Max and Min Plot3D-maxmin.nb
Plot3D-maxmin.html
| 1--19 and 29--35 odd
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| W, Oct 8
| 14.8
| Lagrange Multipliers
| 3--19 odd
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| F, Oct 10
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| review
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| M, Oct 13
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| Test 3 based on the HW for sections 14.3-14.8 and examples in the textbook. One hand written page of notes is allowed.
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| W, Oct 15
| 15.1, 15.2
| Double and iterated integrals
| 15.1 ## 1,3,5
15.2 ## 3,15,27,31,35
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| F, Oct 17
| 15.3
| 2D integrals
| 1--27 and 39--49 odd
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| M, Oct 20
| 15.4
| Polar coordinates
| 1--11 odd
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| W, Oct 22
| 15.5, 15.6
| Applications, surface integrals
| 15.5 ## 1--11 odd, 27, 29
15.6 ## 1--11 odd
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| F, Oct 24
| 15.7
| Triple integrals
| 15.7 ## 1--21 odd
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| M, Oct 27
| 15.8, 15.9
| Cylindrical and Spherical coordinates
| 15.7 ## 3,5,7,9,11,17,25
15.8 ## 3,5,7,9
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| W, Oct 29
| 15.10
| Change of variables
| 1--19 odd
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| F, Oct 31
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| review, pages 1074--1076
| 1--31, 45--51 odd
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| M, Nov 3
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| Test 4 based on the HW for Chapter 15 and examples in the textbook. One hand written page of notes is allowed.
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| W, Nov 5
| 16.1, 16.2
| Vector
fields,
Line
integrals
| 16.1 ## 1--17 odd
16.2 ## 1--15 odd
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| F, Nov 7
| 16.3
| FTLI (FTC)
| 3--9 and 15--21 odd
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| M, Nov 10
| 16.4
| Green's theorem
| 1--11 and 17--21 odd
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| W, Nov 12
| 16.5
| Divergence and curl
| 1--7 and 15--25 odd, 30, 31
(also 12, 33, 38)
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| F, Nov 14
| 16.6
| Parametric surfaces and their areas
| 37--43
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| M, Nov 17
| 16.7
| Surface integrals
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7--11, 19--27 odd
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| W, Nov 19
| 16.8
| Stokes' theorem
| 1--19 odd
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| F, Nov 21
| 16.9
| Divergence theorem
| 1--9 odd
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| Thanksgiving Break
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| M, Dec 1
| 16.10
| Review
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all odd questions
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| W, Dec 3
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| Test 5 based on the HW for Chapter 16 and examples in the textbook. One hand written page of notes is allowed.
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| F, Dec 5
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| review
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| Final exam:
W 12/10/14 8:00am-10:00am
Five hand written pages of notes are allowed.
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Description
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Description: Multivariable Calculus
Four credits. Four class periods. Prerequisite: MATH 1132 or 1152 or a score of 4 or 5 on the Advanced Placement Calculus BC exam. Recommended preparation: A grade of C- or better in MATH 1132. Not open for credit to students who have passed MATH 220 or 2130 or 2143.
Two- and three-dimensional vector algebra, calculus of functions of several variables, vector differential calculus, line and surface integrals. Offered: Fall Spring
Credits: 4
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University of Connecticut | 
