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Math 2130 -- Honors Multivariable Calculus --
Fall 2015
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teplyaev math.uconn.edu
http://www.math.uconn.edu/~teplyaev
office: MSB 426
office hours: Monday, Wednesday, Friday -- 11:05am - 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.
The final exam can replace up to two chapter tests (when the final grade is computed, the lowest scores are not included).
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 31
| 12.1, 12.2
| 3D, Vectors in three dimensions
| all odd
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| W, Sept 2
| 12.3
| Dot product
| 1--51 odd
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| F, Sept 4
| 12.4
| Cross product
| 1--41 odd
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| M, Sept 7
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| no class, Labor Day
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| W, Sept 9
| 12.5
| Lines and planes in space
| 1--75 odd
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| F, Sept 11
| 12.6
| Cylinders and quadric surfaces
t.nb
t.html
| 1--35 odd
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| M, Sept 14
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| review
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| W, Sept 16
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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.
There will be 5 problems out of this
list of 12 questions.
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| F, Sept 18
| 13.1
| Curves
curves.nb
curves.html
curves-tangent.nb
curves-tangent.html
| 1--27 odd
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| M, Sept 21
| 13.2
| Derivatives and integrals
| 9--25 and 33-39 odd
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| W, Sept 23
| 13.3
| Arc Length and Curvature
| 1--29 odd
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| F, Sept 25
| 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 28
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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.
There will be 5 problems out of this
list of questions.
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| W, Sept 30
| 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, Oct 2
| 14.3
14.4
| Partial derivatives
Tangent planes and linear approximations
Plot3D-tangent.nb
Plot3D-tangent.html
| 11, 15-59 odd
1--19 odd
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| M, Sept 5
| review of sections 14.1--14.4
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| W, Oct 7
| 14.5
14.6
| The chain rule
Directional derivatives and the gradient vector
| 1--11 and 27--33 odd
5--33 odd
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| F, Oct 9
| 14.7
| Max and Min Plot3D-maxmin.nb
Plot3D-maxmin.html
| 1--19 and 29--35 odd
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| M, Oct 12
| review
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| W, Oct 14
| 14.8
| Lagrange Multipliers
| 3--19 odd
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| F, Oct 16
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| review
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| M, Oct 19
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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.
There will be 5 problems out of this
list of questions.
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| W, Oct 21
| 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 23
| 15.3
| 2D integrals
| 1--27 and 39--49 odd
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| M, Oct 26
| 15.4
| Polar coordinates
| 1--11 odd
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| W, Oct 28
| 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 30
| 15.7
| Triple integrals
| 15.7 ## 1--21 odd
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| M, Nov 2
| 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, Nov 4
| 15.10
| Change of variables
| 1--19 odd
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| F, Nov 6
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| review, pages 1074--1076
| 1--31, 45--51 odd
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| M, Nov 9
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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.
There will be 5 problems out of this
list of questions.
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| W, Nov 11
| 16.1, 16.2
| Vector
fields,
Line
integrals
| 16.1 ## 1--17 odd
16.2 ## 1--15 odd
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| F, Nov 13
| 16.3
| FTLI (FTC)
| 3--9 and 15--21 odd
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| M, Nov 16
| 16.4
| Green's theorem
| 1--11 and 17--21 odd
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| W, Nov 18
| 16.5
| Divergence and curl
| 1--7 and 15--25 odd, 30, 31
(also 12, 33, 38)
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| F, Nov 20
| 16.6
| Parametric surfaces and their areas
| 37--43
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| Thanksgiving Break
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| M, Nov 30
| 16.7
| Surface integrals
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7--11, 19--27 odd
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| W, Dec 2
| 16.8
| Stokes' theorem
| 1--19 odd
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| F, Dec 4
| 16.9
| Divergence theorem
| 1--9 odd
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| M, Dec 7
| 16.10
| Review
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all odd questions
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| W, Dec 9
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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.
There will be 5 problems out of this
list of questions.
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| F, Dec 11
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| review
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*** FINAL EXAM ***
scheduled
Wednesday
December 16, 1:00pm--3:00pm
Five hand written pages of notes are allowed.
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Description
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Two- and three-dimensional vector algebra,
calculus of functions of several variables,
vector differential calculus, line and surface integrals.
The subject matter of MATH 2110 in greater depth,
with emphasis on the underlying mathematical concepts.
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Four credits. Four class periods.
Prerequisite: MATH 1152 or advanced placement credit for one year of calculus
(a score of 4 or 5 on the Calculus BC examination) or consent of instructor.
Open to sophomores or higher. Not open to students who have passed MATH 2110 or 2143.
May be used in place of MATH 2110 to fulfill any requirement satisfied by MATH 2110.
Offered: Fall Spring
Credits: 4
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University of Connecticut | 
