Math 210 Calculus III Summer 2010

Textbook:

Calculus, Early Transcendentals, by Jon Rogawski, W. H. Freeman.

Note: If you bought the "non-early-transcendentals" version of the text, then add 1 to each chapter number (so, e.g., vectors are in Ch. 13)

You are expected to read the textbook before the classroom discussion of each topic, as indicated on the schedule of reading assignments.

Math 210 Departmental Course Webpage:

http://www.math.uic.edu/coursepages/math210

Syllabus:

WEEK     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, Arc length, Curvature	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 Motions	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 Multivariable function, Limits and Continuity	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 Partial Derivatives and Differentiability	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 Gradient, Applications and Chain Rule	14.6 - # 1, 3, 5, 15, 18, 23, 25, 27, 31, 33
07/05/10	Holiday
07/07/10	Review and Hour Exam One
07/09/10	14.7, 14.8 Optimization, Lagrange Multiplier	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 Double Integral	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	15.1, 15.2 Double Integral More Examples	15.3 - # 1, 2, 11, 13, 17, 24, 31, 33, 35
07/16/10	15.3 Triple Integrals	15.4 - # 1, 3, 6, 7, 11, 15, 22, 28, 30, 49, 53, 54, 57, 67
07/19/10	15.4, 15.5 Polar Coordinates, Spherical Coordinates, Cylindrical Coordinates	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	15.5 Change of Variables	16.2 - # 3, 5, 7, 13, 15, 21, 23, 25, 31, 35, 40, 47, 48
07/23/10	16.1, 16.2 Vector Fields, Line Integral	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	16.3, 16.4 Conservative vector fields	16.5 - # 1, 2, 5, 7, 13, 14, 17, 23, 20
07/28/10	Review Exam 2
07/30/10	16.5, 17.1 Surface Integrals and Vector Surface Integrals	17.1 - # 1, 3, 5, 7, 11, 15, 17, 19, 22, 25, 28
08/02/10	17.2 Green's Theorem and Stoke's Theorem	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