MATH 10A – Calculus of Several Veriables

Winter 2007

Professor: Dr. Janet Vassilev
Office: Surge 233

Office Hours:  M 11 am-12 pm, W 3-4 pm, F 9-10 am and by appointment.
Telephone: (951) 827-3020
email: jvassil@ucr.edu

webpage: http://math.ucr.edu/~jvassil

Text : Vector Calculus, Fifth Edition, Marsden and Tromba

Course Meetings:  The course lectures will be held in Sproul Hall 2340 on Mondays, Wednesdays and Fridays at 2:10-3 pm. Discussion sessions will be held on Thursday (8:40 am) or (7:40 pm) with Tiff Troutman. You are expected to attend both the lectures and the discussion sessions as per Math Department decree.

Tips for Success: * Come to class! It is amazing how much you can learn by being attentive in class.  * Collaborative learning is encouraged but remember only YOU will be taking the quizzes and exams... * Like all mathematics, linear algebra is not a spectator sport; you will learn only by doing!  You will find that a consistent effort will be rewarded. * Be organized.   Have a notebook or binder for Multivariable Calculus alone to keep your class notes, homework, quizzes and exams in order.  * No question you have should be left unanswered.  Ask your questions in class, discussion session or take advantage of office hours.

Homework (100 points):  Homework will be assigned daily and the starred problems from Wednesday, Friday and Monday preceding the Thursday section will be collected at the beginning of discussion session. No late homework will be accepted. Homework will not be graded unless it is written in order and labeled appropriately. An answer alone will get 0 points. Make sure to justify every answer. Your lowest homework score will be dropped and the remaining homework will be averaged to get a score out of 100.

Quizzes (100 points):  There will be a quiz at the end of each discussion with one or two problems similar to the homework problems assigned during the previous week. You may use your notes for this quiz, but not your book. The quizzes will be worth 10 points each, and I will drop the lowest one and average the rest to get a score out of 100.

Exams (400 points):  I will give two midterms (100 points each) and a final (200 points). Please bring your ID to each exam. There are no make up exams. If a test is missed, notify me as soon as possible on the day of the exam. For the midterms only, if you have a legitimate and documented excuse, your grade will be recalculated without that test. The Midterms are tentatively scheduled for Monday, January 29 and Monday March 5. The Final is on Thursday, March 22, from 8-11 am.

Grades:  General guidelines for letter grades (subject to change; but they won't get any more strict): 90-100% - A; 80-89% - B; 70-79% - C; 60-69% - D; below 60% - F.  In assigning Final Grades for the course, I will compare your grade on all course work (including the Final) and your grade on the Final Exam. You will receive the better of the two grades.

Calculator Policy:  It is the Math Department’s policy to forbid the use of calculators on both exams and quizzes.

Tentative Schedule (for Dr. Vassilev’s Multivariable Calculus):

Date	Section	Topic	Homework
1/5	1.1	Vectors	1.1 1-5 odd, 21, *4, *6, *12, *18, *20
1/8	1.2	Inner Product, Length, Distance	1.2 1, 3, 9, 15, 19, 21, *8, *14, *24
1/10	1.3	Matrices, Determinants, Cross Products	1.3 1-7 odd, 13, 15, 25, 33, *2(a,c), *12, *18, *34
1/12	1.3	Areas, Volumes and Equations of Planes	1.3 19, 27 *26
1/17	1.4	Cylindrical and Spherical Coordinates	1.4 1, 3, 7, *2, *4, *6, *10, *12
1/19	1.5	n-dimensional Euclidean Space	1.5 1, 3, 7, 17, 19, *4, *8, *12
1/22	2.1	Geometry of Real Valued Functions	2.1 1, 3, 5, 7, 9, 15, 21, 25, *10, *14, *26, *30
1/24	2.2	Limits and Continuity	No Homework
1/26		Review	Review Sheet
1/29		Midterm 1
1/31	2.2,	Limits and Continuity	2.2 1, 5, 7, 9, 11, 17, *4, *8, *10, *18
2/2	2.3,	Differentiation	2.3 1-9 odd, 13, 17, *6, *8, *16
2/5	2.4,	Paths and Curves	2.4 1-19 odd, *2, *6, *10, *16
2/7	2.5	Properties of the Derivative	2.5 1,3, 5, 9, 11, 13, 15, *4, *8, *10, *12
2/9	2.6	Gradients and Directional Derivatives	2.6 1, 3, 5, 9, 13, 19, 25, *2, *4, *20
2/12	3.1	Iterated Partial Derivatives	3.1 1-9 odd, 13, 19, 23, *4, *8, *16, *20
2/14	3.2	Taylor’s Theorem	3.2 1-5 odd, *2, *4, *6
2/16	3.3	Extrema of Real Valued Functions	3.3 1-15 odd, *2, *6, *10, *12
2/21	3.3	Extrema Continued	3.3 21-25 odd, 31, 33, *24, *30, *32, *34
2/23	3.3, 3.4	Extrema Continued	No additional homework today
2/26	3.4	Lagrange Multipliers	3.4 1-9 odd, *2, *4, *8
2/28	3.4	Lagrange Multipliers and Implicit Function Theorem	3.4 11, 13, 15, 21
3/2		Review
3/5		Midterm 2
3/7	3.5	Implicit Function Theorem	3.5 3, 5, 7, 9, *2, *4, *8
3/9	4.1	Newton’s 2^nd Law	4.1 1, 3, 11, 17, 19, *4, *10, *12
3/12	4.2, 4.3	Arc Length and Vector Fields	4.2 1, 3, 5, 9, *4, *6, *12; 4.3 3, 7, 9, 13, *4, *14
3/14	4.4	Div and Curl
3/16		Review	Final Review Sheet
3/21		Final