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

Instructors: Alexander Braverman, Reinier Broker and Samouil Molcho

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: October 11 at Hunter Auditorium and November 15 at Macmillan 117; the time is 7pm

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

Midterms: 15% each

Homework: 20%

Final exam: 50%

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 9/15):

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

Assignment 2 (due 9/22):

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

Assignment 3 (due 9/29):

12.5: 50, 58, 64; 12.6: 2, 8, 14, 54 (just find the curvature, forget about center of curvature); 12.7: 4, 6, 34, 54;

Assignment 4 (due 10/6):

13.2: 36, 41, 48; 13.4:17, 32; 13.5:25, 28, 30,38

Assignment 5 (due 10/13):

13.5: 12, 16, 38, 42, 46, 57; 13.6: 32, 34; 13.7 2, 6

Assignment 6 (due 10/20):

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

Assignment 7 (due 10/27):

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. 14.1: 16 14.2: 2, 8, 18,

Assignment 8 (due 11/3): 14.3: 4, 20, 28, 44

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

Assignment 9 (due 11/10): 14.9: 6, 7, 10; 14.6: 2, 10, 12, 22, 43; 14.7: 5, 14.

Assignment 10 (due 11/17)

Chapter 14 (Miscellaneous problems): 2, 4, 8, 16, 26 14.7: 16, 20 14.8: 4, 6, 16

Assignment 11 (due 12/1) 15.2: 6, 10, 12, 36, 42; 15.3: 4, 22, 35; 15.4: 2, 14 Assignment 12 (due 12/8) 15.4: 24, 34; 15.5: 4, 20; 15.6: 4, 18, 20, 24; 15.7: 4, 16, 18, 20