Department of Mathematics




MA 36200 Topics in Vector Calculus


Professor: Iryna Egorova

Office: Math 706

Lessons:
MWF 8:30 - 9:20am at REC 114.
MWF 9:30 - 10:20am at REC 114.

Office Hours: Monday 11:00-12:00am; Tuesday 1:30-3:00pm.

Textbook: Vector Calculus, by Marsden & Tromba, 6th Edition, Freeman.

Syllabus: We will cover most of the text. The course objectives are for you to understand the concepts and become adept in applying vector calculus.

Grading policy:
There will be two midterm exams and one final. Each midterm will be worth 100 points, the final will be 200 points, and the homework grade will be scaled to 100 points, making a total of 500 points for the whole course.

Homeworks:
The assignment is weekly. Homework for the previous week will be due on Wednesday before class. Only some problems will be graded, however you should write out the solution for each one of them.


Homework 1 (due January 16th):
Section 1.3 (p. 49): 2(a ), 6, 10, 14.
Section 1.5: (p. 69) 6, 11.
Ch 1 Review: 36, 7(c).
Section 2.1 (p.86): 6, 10(a),
20 and Section 2.3 (p. 115): 8, 10(a,c), 12(a,b), 18 and 24.


Homework 2 (due January 23rd):
Section 2.4: 6, 18, 20, 23,
Section 2.5: 8,13,32,33,
and Section 2.6: 6,18(a),21,31.

Homework 2, Solutions.


Homework 3 ( due January 30th):
Section 3.1: 29,30,31;
Section 3.2: 6, 9,10.


Homework 3, Solutions.


Homework 4 ( due February 6):
Section 3.3: 12,15,34,37,46,
Section 3.4: 4, 8, 38,
Section 3.5: 2, 4, 16,
and Review exercises for Chapter 3: 6, 30.


Homework 4, Solutions.

Midterm 1; February 11, in class exam, usual place, usual time, Ch 1-3.

Practice Midterm 1.

Practice Midterm 1, Solutions.



First Midterm Exam, Solutions.


Homework 5 ( due Friday, February 15):
Section 4.1: 14,(# 14 has a typo. Solve for points in the xz plane.)
Section 4.2: 8, 12,
Section 4.3: 4, 12, 16, 20, 24,
Section 4.4: 2, 8, 10, 14, 24, 26, 40.


Homework 5, Solutions.

Homework 6 (due February 20):
Section 5.1: 8, 10,
Section 5.2: 6, 8, 17,
Section 5.3: 4, 8, 10.


Homework 6, Solutions.



Addendum to Homework 6, solution of Problem 17.


Homework 7 ( due February 27):
Section 5.4: 4, 14, 16, 18,
Section 5.5: 6, 8, 14, 22, 30,
Section 6.1: 2, 4, 8.


Homework 7, Solutions.


Homework 8 ( due March 6):
Section 6.2: 2, 4, 6, 28, 30, 34, 36;
Section 6.3: 2, 14.

Homework 8, Solutions.


Midterm 2; April 1st, in class, Ch 4-7.4.

Homework 9 ( due March 20):
Section 7.1: 8, 12, 14, 22, 24;
Section 7.2: 4, 6, 10, 14;


Homework 9, Solutions.



Homework 10 ( due March 27):
Section 7.3: 8, 14, 16, 18, 23;
There is a mistake in the statement of 7.3-16. Replace "z>0" by "x>0". Hint: Use x and z as parameters.
Section 7.4: 4, 6, 10;
Section 7.5: 4, 6, 16, 22.




Homework 10, Solutions.




Practice problems for Midterm 2.

Practice Midterm 2, Solutions.




Homework 11 ( due Friday, April 5):
Section 7.6: 8, 10, 20, 22;





Second Midterm Exam, Solutions.

Homework 12 ( due April 10):
Chapter 7 Review (pg. 425): 1d, 2a, 5, 12a;
Section 8.1: 2, 4, 7, 15, 17, 19.




Homework 11, Solutions.