Stony Brook, Fall 2002

Syllabus

The Mat 203/Fall 2002 course is over.

You can find all your grades here.

The best four (out of 5) quizzes and the best 11 (out of 14) assignments were averaged.

The weights I assigned were: 10% homework, 15% quizzes, 15% lower midterm, 25% better midterm, 35% final

The grades were assigned based on the following scale: A is above 93, A- is 87-92, B+ is 81-86, B is 76-80, B- is 70-75, C+is 66-69, Cis 61-65, C-is 51-60, D is 40-49.

Instructor: Professor Brakalova, Office: 4-120, Math Tower;

E-mail: melkana@math.sunysb.edu tell: 28278,

Lecture Meeting Time: Tue and Thu9:50-11:10, HE 201

OfficeHours Tue, Thu 11:35 a.m.-12:30 p.m. in 4-120, Wed 1:00-2:00 p.m. in the Math Learning Center.

Teaching Assistant: Craig van Coevering; Office: 2-104 Math Tower E-mail: craig@math.sunysb.edu

Web page: http://www.math.sunysb.edu/~craig

Recitation Meeting Time: M 5:30-6:25 p.m. Chem. 128 or F 10:30-11:25 a.m., Javits 108

Office Hours: Fri 12:00-2:00 in the MLC

Web page: The course web page is http://www.math.sunysb.edu/~melkana/mat203

Check for the updated syllabus on the web. Timely changes will be made.

Text:Multivariable Calculus by McCallum, Hughes-Hallett, Gleason et al., Wiley and Sons Inc., Third Edition.

Homework: Homework will be posted on the web as the course develops (please scroll down to check the homework). It is submitted weekly and should be handed in at the lecture on Tuesday of the following week.

Examinations and quizzes: There will be two midterm exams and a final exam

Midterm I : Tuesday, October 8 (in lecture) 

Midterm II: Thursday, November 14th (in lecture) 

Final Exam: 

There will be approximately six short quizzes given during recitations. The lowest quiz score will be dropped and the rest used to determine the grade. 

Grades:Grades will be assigned on the following basis:

Homework and Quizzes 25%, Midterm I and Midterm II 40%, Final 35%.

Note: If you have a physical, psychological, medical or learning disability that may affect your ability to carry out assigned course work, I urge you to contact the staff in the Disabled Student Services office (DSS), Room 133 Humanities, 632-6748/TDD. DSS will review your concerns and determine, with you, what accommodations are necessary and appropriate. All information and documentation of disability is confidential. 

Topics and Homework

WeekSept 3rd and Sep 5^th

Sec. 12.1: Functions of two variables 

Sec. 12.2: Graphs: 4, 8, 9, 10, and 12 

Sec. 12.3: Contour Diagrams: 1, 3, 5, 7, 10, 12, and 13 

Sec. 12.4: Linear functions: 6, 7, and 30 

Sec. 12.5: Functions of more than two variables: 1, 3, 5, and 20 

Week Sept. 10^th and Sept. 12th

Sec. 13.1: Displacement Vectors: 1, 2, 11, 17, 18, 21, and 31

Sec. 13.3: The Dot Product: 1, 2, 6, 10, 12, 17, 25, 27, and 32

Sec. 13.4: The Cross Product: 5, 6, 17, 19, and 27

The following problems are only suggested problems; they are not part of the homework. I recommend that you work on them in order to sharpen your problem-solving skills. 

Review exercises and Problems for Chapter Thirteen: 9, 11, 15, 19, 27, and 31

Check your Understanding: 2, 5, 10, 18, 21, and 23

Week Sept. 19^th

Sec. 14.1: The Partial Derivative: 1, 3, 6, 12, 15, and 18

Week Sept. 24^th and Sept. 26^th

Sec. 14.3: Local Linearity and the Differential: 1, 2, 4, 8, 13, 14, and 18

Sec. 14.4: Gradients in the Plane: 9, 10, 19, 20-22, 33, and 51

Sec. 14.5: Gradients in Space: 5, 10, 12 23, and 29 

Week Oct. 1^st and Oct. 3rd

Sec. 14.7: Second-Order Partial Derivatives: 7, 8, 13, 15, 19, 23, and 29 

Review Exercises and Problems: 

Chapter 12: p. 600-602: 7, 9, 20, and 24

Chapter 13: p. 635-637:16, 17, 29

WeekOct. 8^th and Oct. 10^thMidterm

Tuesday, October 8, Midterm I(through section 14.5)

Sec. 15.1: Local Extrema: 5, 7, 9, 13, 19, 22

Sec. 15.2: Global Extrema: 8, 13

WeekOct. 15^th and Oct. 17^th

Sec. 15.3: Lagrange Multipliers 3, 9, 15, 16, 25

Review of Chapter 15 p. 728 ­ 730: 3, 5, 11, 27; 

p. 732 #26-33 (these are True/False questions)

Sec. 16.1: The Definite Integral: 1, 4, 10, 13

Sec. 16.2: Iterated Integrals: 3, 7, 9, 21, 31, 33

The following problems are only suggested problems; they are not part of the homework. I recommend that you work on them in order to sharpen your problem-solving skills. p. 728 ­ 730: 7, 9, 20, 21, and 25; p. 732:1-25; 16.1: 2, 9, 15, 17, and 19; 16.2:5, 10, 25, and 37.

Test was returned on Tuesday, Oct. 15th. Please get in touch with me/come to my office if you were not in class to collect your test. Solutions/Answers are available here: Group A/ Group B.

WeekOct. 22^nd and Oct. 24^th

Sec. 16.2: Iterated Integrals (Review): 11, 15, 16, 23, 25, 28, 29, 37

Sec. 16.3: Triple Integrals: 3, 9, 17, 13, 37

Sec. 16.4: Double Integrals in Polar Coordinates: 3, 5, 17

Sec. 16.5: Integrals in Cylindrical and Spherical Coordinates: 1, 3, 15

WeekOct. 29^th and Oct. 31^st

Note: The week of Oct 28^th ­ Nov. 1^st we'll go over change of variables in a multiple integral, parameterized curves, velocity, acceleration vectors, and vector fields.The homework will include some review of Chapter 16. 

Quiz: This Fri and Mo on 16.2 through 16.5

Sec.16.7: Change of Variables in a Multiple Integrals: 3, 7, 9, 13

Review of Chapter 16: p. 777-780: 3, 7, 9, and 19

Check Your Understanding: p. 780 (True/False) 7,11,19, and 21

Sec. 17.1: Parameterized Curves: 1,3, 5, 19, 19, 23, and 33

Sec. 17.2: Motion, Velocity and Acceleration: 1, 9, 21, 25, and 33

Sec. 17.3: Vector Fields 1, 5, 11-16, and 22

WeekNov. 5^th and Nov. 7^th

This week will review parameterization, velocity, acceleration, and vector fields and introduce the new material: flow of a vector field, line integrals and conservative vector fields. Next week we will have the second midterm, which will cover the material from 15.1 through 18.2.

Sec. 17.4: The Flow of a Vector Field: 1, 3, 7, 9

Review of Chapter 17: 1, 3, 11, 13, 17, 21, and 25

Check your understanding: (p.822)  9, 17, 20, 21, and 23

Sec. 18.2: Computing Line Integrals: 1, 7, 15, 17

Week Nov. 12^th and 14^th

Sec. 18.3: Gradient Fields and Path-Independent Fields: 1, 3, 5, 11, 13, and 15.

Review for Midterm II (Some suggested problems)

Thursday, November 14^th, Midterm II(through section 18.2)

Tentative Schedule of Topics (Homework will be assigned usually week to two weeks in advance). Check the web page for updates.

Week  Nov. 19th and 21st 

Sec. 18.4: Green's Theorem:  5, 7, 9, 11, 15, 19, 20

Check your understanding: 7, 11, 19, 21, 25, and 35

Sec. 19.1: Flux  Integrals : 1, 3, 11, 13, 17, 21 

Sec. 19.2: Flux  Integrals  for Graphs, Cylinders  and Spheres: 1, 5, 9

Week  Nov. 26th

Review of Chapter 19: p.882:3, 5, 7, 11, 13, 21, 26

Check your understanding: 1, 3, 9, 11, 15

This week, during my Tuesday and Thursday lectures, I am planning to go over some homework problems from the last two weeks. Please send me an e-mail, if you have questions on a specific problem.

Last Homework AssignmentJ

Week Dec 3rd and Dec 5th (tentative)

Sec. 20.2: The Divergence Theorem: 1, 3, 7, 9, 15

Sec. 20.3: The Curl of a Vector Field: 3, 7, 9-12, 15, 18, 27

Sec20.5: The Three Fundamental Theorems: 5, 7, 11

Week Dec 10^th and 12^th

Review

Final examinationis comprehensive with emphasize bon the last several weeks 

Final Exam: Thursday, September 19^th, 8-10:30 a.m., Javits 105.Please note the different location.

Office Hours next week: Wednesday, 1 p.m.-5p.m.

You could also stop by my office and I'll be happy to help you if I am around. 

Some materials are left in envelopes on my door (Midterm #2 exams, solution to Midterm#1 and #2Ö).

A list of topics/suggestions can be found here.

Last semester's final can be downloaded from here. (Note that we've covered more material this year.)

Solutions can be found here.