
Math 2130  Honors Multivariable Calculus 
Fall 2015

teplyaevmath.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

M, Aug 31
 12.1, 12.2
 3D, Vectors in three dimensions
 all odd

W, Sept 2
 12.3
 Dot product
 151 odd

F, Sept 4
 12.4
 Cross product
 141 odd

M, Sept 7

 no class, Labor Day

W, Sept 9
 12.5
 Lines and planes in space
 175 odd

F, Sept 11
 12.6
 Cylinders and quadric surfaces
t.nb
t.html
 135 odd

M, Sept 14

 review


W, Sept 16

 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.


F, Sept 18
 13.1
 Curves
curves.nb
curves.html
curvestangent.nb
curvestangent.html
 127 odd

M, Sept 21
 13.2
 Derivatives and integrals
 925 and 3339 odd

W, Sept 23
 13.3
 Arc Length and Curvature
 129 odd

F, Sept 25
 13.4
 Motion in space: velocity and acceleration
 315 odd, and 37, 39, 41 review ## 9, 11, 17

M, Sept 28

 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.


W, Sept 30
 14.1 14.2
 Functions of several variables Limits and continuity
Plot3D.nb
Plot3D.html
 14.1 ## 729 odd 14.1## 521 odd

F, Oct 2
 14.3 14.4
 Partial derivatives
Tangent planes and linear approximations
Plot3Dtangent.nb
Plot3Dtangent.html
 11, 1559 odd 119 odd

M, Sept 5
 review of sections 14.114.4



W, Oct 7
 14.5 14.6
 The chain rule Directional derivatives and the gradient vector
 111 and 2733 odd 533 odd

F, Oct 9
 14.7
 Max and Min Plot3Dmaxmin.nb
Plot3Dmaxmin.html
 119 and 2935 odd

M, Oct 12
 review



W, Oct 14
 14.8
 Lagrange Multipliers
 319 odd

F, Oct 16

 review


M, Oct 19

 Test 3 based on the HW for sections 14.314.8 and examples in the textbook. One hand written page of notes is allowed.
There will be 5 problems out of this
list of questions.


W, Oct 21
 15.1, 15.2
 Double and iterated integrals
 15.1 ## 1,3,5 15.2 ## 3,15,27,31,35

F, Oct 23
 15.3
 2D integrals
 127 and 3949 odd

M, Oct 26
 15.4
 Polar coordinates
 111 odd

W, Oct 28
 15.5, 15.6
 Applications, surface integrals
 15.5 ## 111 odd, 27, 29 15.6 ## 111 odd

F, Oct 30
 15.7
 Triple integrals
 15.7 ## 121 odd

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

W, Nov 4
 15.10
 Change of variables
 119 odd

F, Nov 6

 review, pages 10741076
 131, 4551 odd

M, Nov 9

 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.


W, Nov 11
 16.1, 16.2
 Vector
fields,
Line
integrals
 16.1 ## 117 odd 16.2 ## 115 odd

F, Nov 13
 16.3
 FTLI (FTC)
 39 and 1521 odd

M, Nov 16
 16.4
 Green's theorem
 111 and 1721 odd

W, Nov 18
 16.5
 Divergence and curl
 17 and 1525 odd, 30, 31 (also 12, 33, 38)

F, Nov 20
 16.6
 Parametric surfaces and their areas
 3743


 Thanksgiving Break

M, Nov 30
 16.7
 Surface integrals

711, 1927 odd

W, Dec 2
 16.8
 Stokes' theorem
 119 odd

F, Dec 4
 16.9
 Divergence theorem
 19 odd

M, Dec 7
 16.10
 Review

all odd questions

W, Dec 9

 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.

F, Dec 11

 review

*** FINAL EXAM ***
scheduled
Wednesday
December 16, 1:00pm3:00pm
Five hand written pages of notes are allowed.

Description
Two and threedimensional 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.

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


