Spring-2012. Math 53. Multivariable Calculus (ccn: 53957)

Lectures: by Alexander Givental, MWF 9-10, in 105 Stanley
Office hours: Mon 12 - 2 pm in 701 Evans
Grading: Final exam (40%)+Midterm I (10%)+Midterm II (20%)+ Discussion section grade (30%)
Homework: Exercises to solve are posted below by weeks. Written solutions are due on Monday of the next week in your discussion section.
Final Exam: Monday, May 7, 2012, 7-10 pm
Enrollment: For all issues contact Barbara Peavy
Rules for the final exam: It is a 3-hour exam. Closed books, closed notes, no "cheat sheets", no calculators. You don't need "blue books" but may bring scratch paper. Pen or pencil - either is OK.
Here is a practice exam for your convenience. And another one, for Midterm II.
Here is a set of practice final exam problems
RRR (? Renewval-Rehearsal-Recreation ?) Week Schedule:
Discussion Sections: meet as usual
Lectures: Monday, April 30 -- review session by Edward Scerbo in 105 Stanley, 9--10 am
No lectures on Wednesday, Friday
Office Hours: No office hours on Monday, April 30,
Office hours on Friday, May 4, in 701 Evans, 9 am -- 12
(please double-check on Thurdsday night for possible time changes)

Syllabus

Text: Multivariable Calculus by Stewart, UC Berkeley custom edition (ISBN-13: 978-1-424-05499-2).

Week 1: Introduction. Vectors
Read: 12.1-12.2
Solve (due 01.25): 12.2(23,26,33,45)

Week 2: Dot- and cross-product. Applications
Read: 12.3-12.5
Solve (due 02.01): 12.3(1,11,23,27,51,60) 12.4(2,7,20,31,33,38) 12.5(5,7,12,19,27,34.43,51)

Week 3: Quadratic functions, curves, surfaces.
Read: 12.6, 10.5
Solve (due 02.08): 10.5(16,25,26,27,34) 12.6(6,8,21-28)

Week 4: Vector functions / Midterm I (Ch. 12, Sect. 10.5), Friday, Feb. 10
Read: 13.1, 13.2, 13.3 (arc length)
Solve (due 02.15): 13.1(19-24,42) 13.2(23,43) 13.3(3,11,13)

Week 5: Scalar functions of several variables.
Read: 14.1-14.4
Solve (due 02.22): 14.1(47,48) 14.2(8,38,45) 14.3(65,67,72,89,95bcde) 14.4(17,35,45,46)

Week 6: The chain rule.
Read: 14.5
Solve (due 02.29): 14.5(7,13,23,27,31,33,53,55,58)

Week 7: Gradient. Maximum and minimum values
Read: 14.6-14.7
Solve (due 03.07): 14.6(20,21,29,39,43,54), 14.7(7,10,12,29,31,50,55)

Week 8: Constraint extrema (Lagrange multipliers)
Read: 14.8
Solve (due 03.14): 14.8(7,11,19,25,26,38,41,45,56)

Week 9: Multiple integrals
Read: 15.1-15.3, 15.6
Solve (due 03.21): 15.2(7,17,27) 15.3(9,15,39-44,45,61) 15.6(33-36)

Week 10: Change of variables. Applications / Midterm II (Note corrections in the midterm's syllabus: Ch. 13,14, Sect. 15.1-15.3, 15.6), Friday, Mar. 23
There will be no discussion sections on this day after the midterm!
Read: 15.4, 15.5, 15.7-15.9
Solve (due 04.04): 15.4(7,11,22,37) 15.5(13,14,15,19) 15.7(15,16,27,28) 15.8(17,18,39,40) 15.9(5,9,17,21,24)

Week 11: Vector fields. Line integrals.
Read: 16.1-16.3
Solve (due 04.11): 16.1(6,11-14,26,29-31) 16.2(3,14,22,27,37,39) 16.3(6,16,21,27,29-32)

Week 12: Green's Theorem. Curl and divergence.
Read: 16.4, 16.5
Solve (due 04.18): 16.4(2,4,15,21,22,24,27) 16.5(4,5,9,11,15,27,29,30,32,37)

Week 13: Surface integrals
Read: 16.6, 16.7
Solve (due 04.25): 16.6(3-6,13-18,35,38) 16.7(8,11,18,19,35,37,44)

Week 14: Stokes' and Gauss' Theorems
Read: 16.8, 16.9
Solve (due Monday, 04.30): 16.8(2,6,13,15,18,19) 16.9(4,6,13,23,26,28,31)