Welcome to the Home Page of MAth 0200 (Multivariable Calculus for Physiscs/Engeneering)!

Instructors: Alexander Braverman, Samouil Molcho and Miles Wheeler

Book: Edwards and Penney, Multivariable calculus, 6th edition.

The plan is to cover Chapters 12-15 from the book. I.e. the approximate plan is as follows:

1)A thorough discussion of vectors in 3-dimensional space, equations of lines, planes, 3-dimensional curves and their curvature, some surfaces.

2) Partial derivatives, linear approximations, maxima and minima in the multivariable case, constrained optimization and Lagrange multipliers.

3) Multivariable integration: line and surface integrals, applications to geometry (such as area and volume computations etc.)

4) Multivariable versions of the fundamental theorem of calculus: Green's theorem, divergence theorem and Stokes theorem.

Midterms: There will be two midterms on October 10 and November 14 at 7pm.

The room is METCHM AUD

The final grade: Your final grade will be computed as follows:

Midterms: 15% each

Homework: 20%

Final exam: 50%

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Homework:

Here are the homeworks for the course (the assignments will usually be posted here Thursdays and they will be due the following Thursday at the recitation section)

Assignment 1 (due 9/13):

12.1: 34, 46, 47; 12.2: 26, 40, 56; 12.3: 2, 14;

Assignment 2 (due 9/20):

12.3: 18, 20, 36 12.4: 2, 14, 48, 54; 12.5:2, 40, 44;

Assignment 3 (due 9/27): 12.5: 50, 58, 64; 12.6: 2, 8, 14, 54 (just find the curvature, forget about center of curvature); 13.2: 36, 41, 48;

Assignment 4 (due 10/4): 13.4:17, 32; 13.5:12, 16, 25, 28, 30,38

Assignment 5 (due 10/11) - review homework before the exam!

Chapter 12, Miscellaneous problems: 7, 19, 15, 21

Chapter 13, Miscellaneous problems: 5, 7, 11, 16, 18

Assignment 6 (due 10/18):

13.7:14, 20, 26, 34, 37, 46; 13.8:8, 22, 34, 60

Assignment 7 (due 10/25):

13.9: 2, 14, 40, 44, 62; 13.10: 6, 10, 28, 30; in problems 6 and 10 sketch the level curves ("contour plot") of f.

Assignment 8 (due 11/01):

14.1: 4, 20, 26, 32:

14:2: 2, 16, 18, 26, 28

Assignment 9 (due 11/08): 14.3: 4, 20, 28, 44

14.4: 4, 22, 24, 32 14.5: 13,20, 41

Assignment 10 (due 11/15):

14.5: 8, 10, 12, 26;

14.6: 2, 8, 12, 16, 31, 32.

Assignment 11 (due 11/29):

15.2: 2, 12, 36, 40;

15.3 2, 5, 30

Assignment 12 (due 12/06):

15.4: 2, 12, 18, 22;

15.5 2, 5, 30;

14.8: 2, 4, 10