Math 210

Solutions to Sample Exams:

math 210 first hour exam fall 2005

math 210 practice problems for hour exam one Fall 2009

math 210 first hour exam fall 2001

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Note: this solution manual, instead of giving you the complete solutions, I just skecth the ideas to solve the problems. The following are the things I think that you must know: Find local max or local min, saddle points, Lagrange Multiplier method, change order of intergration, change of variables of integration (cylindral, polar, etc.), decomposing integral domains.

math 210 practice problems for hour exam 2 fall 2009
EEK     SECTIONS      BRIEF DESCRIPTION

1                12.1 - 12.3       Vectors in 2 and 3 dimensions, lines, dot products
      12.4 - 12.5       Cross products, planes

2    13.1 - 13.3       Curves, derivatives, speed and arclength
                  13.4 - 13.5       Curvature and motion

3                14.1 - 14.3       Functions of several variables, limits and continuity, partial derivatives
                  14.4 - 14.6       Linear approximation, tangent planes, gradient, directional derivative, chain rule

4                14.6                 Review, Hour Exam 1
                  14.7 - 14.8       Optimization, Lagrange multipliers

5                15.1 - 15.3       Multiple and iterated integrals, double and triple integrals
                  15.3 - 15.5       Triple integrals, special coordinates, change of variables in integration

6                16.1 - 16.2       Vector fields and line integrals
                  16.3 - 16.5       Gradient vector fields, parametrized surfaces and surface integrals

7                                   Review, Hour Exam 2

8                 16.5 - 17.1     Surface integrals of vector fields, Green's Theorem
                   17.2       Stokes' Theorem, Review

Class Notes/Homework and Reading Assignments:

Date	Reading/Class Notes	Problems
06/14/10	12.1, 12.2 Vectors in 2 and 3 dimensions, lines	12.1 - #3, 5, 9, 10, 12, 15, 33, 7, 37, 39; 12.2 - #9, 13, 15, 18, 19, 21, 24, 27, 31, 32, 42
06/16/10	12.3, 12.4 dot and cross products	12.3 - # 11, 15, 21, 33, 34, 40, 45, 57, 62, 73 12.4 - # 3, 5, 10, 11, 14, 15, 18, 29, 34, 40
06/18/10	12.5 Planes	12.5 - # 1, 2, 12, 16, 22, 26, 28, 30, 48
06/21/10	13.1, 13.2 Vector-Valued fucntion and Derivatives	13.1 - # 1, 3, 5, 8, 11, 14, 21, 28, 31, 33 13.2 - # 2, 3, 4, 7, 14, 19, 21, 22, 26, 38
06/23/10	13.3, 13.4 Intergral and arc length	13.3 - # 1, 2, 3, 4, 9, 14, 15, 19 13.4 - # 1, 3, 7, 8, 11, 13, 22, 23, 59
06/25/10	13.5, 14.1 Curvature, Motion and multivariable functions	13.5 - # 1, 3, 4, 6, 7, 8, 25, 26, 29, 45 14.1 - # 1, 2, 6, 7, 20, 23, 29, 40, 41, 44, 50, 51, 54
06/28/10	14.2, 14.3	14.2 - # 3, 5, 11, 12, 13, 14, 19, 33, 35, 39 14.3 - # 2, 3, 4, 7, 9, 10, 13, 15, 29, 37, 41, 47
06/30/10	14.4, 14.5	14.4 - # 1, 6, 11, 15, 17, 22, 23, 31, 35, 36 14.5 - # 1, 2, 4, 7, 11, 21, 29, 31, 39, 41
07/02/10	14.6, Review	14.6 - # 1, 3, 5, 15, 18, 23, 25, 27, 31, 33
07/05/10	Holiday
07/07/10	Exam 1
07/09/10	14.7, 14.8	14.7 - # 1, 2, 4, 5, 7, 9, 10, 13, 15, 24 14.8 - # 1, 2, 3, 6, 7, 9, 11, 12, 16, 19
07/12/10	15.1, 15.2	15.1 - # 17, 19, 20, 23, 30, 31, 37, 38 15.2 - # 3, 5, 6, 7, 11, 14, 18, 19, 41, 47, 48, 58
07/14/10	15.3, 15.4	15.3 - # 1, 2, 11, 13, 17, 24, 31, 33, 35
07/16/10	15.4, 15.5	15.4 - # 1, 3, 6, 7, 11, 15, 22, 28, 30, 49, 53, 54, 57, 67
07/19/10	15.5, 16.1	15.5 - # 5, 6, 11, 14, 17, 21, 22, 29, 34, 38 16.1 - # 1, 11, 12, 14 -- 17, 20, 21, 24, 27, 29
07/21/10	16.2	16.2 - # 3, 5, 7, 13, 15, 21, 23, 25, 31, 35, 40, 47, 48
07/23/10	16.3, 16.4	16.3 - # 3, 4, 5, 7, 9, 10, 13, 14, 22, 24 16.4 - # 3, 7, 9, 13, 18, 21, 25, 29, 35, 43
07/26/10	16.5, Review	16.5 - # 1, 2, 5, 7, 13, 14, 17, 23, 20
07/28/10	Exam 2
07/30/10	17.1	17.1 - # 1, 3, 5, 7, 11, 15, 17, 19, 22, 25, 28
08/02/10	17.2	17.2 - # 1, 2, 4, 6, 11, 12, 20
08/04/10	Review
08/06/10	Final Exam

Quizzes:

6/21/2010	6/28/2010	7/12/2010	7/19/2010
Quiz 1	Quiz 2	Quiz 3	Quiz 4

Labs:

Labs will be held in SEO 1200. See the course webpage for detail.

Solutions to Sample Exams:

* Note: those solutions are not intend to be complete, only the ideas to solve the problems are skecthed.

math 210 first hour exam fall 2005

math 210 practice problems for hour exam one Fall 2009

math 210 first hour exam fall 2001

math 210 practice problems for hour exam 2 fall 2009

Eamil me if you have any suggestion or comment!

fye@math.uic.edu