Math 0350, Section 1 (Fall 2011)
"Honors Calculus"


General Course Information

Instructor: Armen Vagharshakyan
E-mail: armen[at]math[dot]brown[dot]edu
Class Times: MWF 10-11 at Barus & Holley 165
Office Hours: M 11:30-12:30, F 12:30-1:30 at Kassar 219

Course Resources

Course Description

Grading Scheme

Textbook:
"Vector Calculus", 5th edition by J. Marsden and A. Tromba
Topics Covered:
Differentiation and integration in higher dimensions, Green's, Stokes', divergence theorems. Time permitting we'll also cover the inverse mapping and implicit function theorems.

Course Objectives:
One of the main objectives of the course is to prepare for the 100-level Math classes.
Grading Policy:
Best 10 out of 11 homework - 35%.
Midterm - 25%.
Final exam - 40%.

ASSIGNMENTS

Homework

Notes

Exams

HW1. (due W, Sept 14)
Chapter 1.1: 13, 25, 26, 31
Chapter 1.2: 5,8,14,17,18,20
HW2. (due W, Sept 21)
Chapter 1.3: 4,6,19,26,30
Chapter 1.4: 1,8
Chapter 1.5: 2,8,17
HW3. (due W, Sept 28)
Chapter 2.1: 9,16,23,32
Chapter 2.2: 6,8,12,21,22,25
HW4. (due W, Oct 5)
Chapter 2.3 #2,4,9,16
Chapter 2.5 #3,4,7,10,13,20

HW5. (due W, Oct 12)
Chapter 2.6: 3,4,9,15,16,19,21.
Chapter 3.1: 6,16,20,24

HW6. (due W, Oct 19)
Chapter 3.3: 9,12,19,32,41
Chapter 3.4: 4,10,17,20,22

HW7. (due W, Oct 26)
Chapter 3.5: 5,6,8,9,12

HW8. (due W, Nov 2)
Chapter 4.1: 7
Chapter 4.2: 6, 8
Chapter 4.4: 21,26

HW9. (due W, Nov 9)
Chapter 5.2 #4, 5
Chapter 5.3 #2b, 11, 13, 15
Chapter 5.4 #2, 8, 10, 11

HW10. (due W, Nov 16)
Chapter 5.5 (p 364) #10,19
Chapter 6.1 (p 375) #6
Chapter 6.2 (p 390) #8,9,21,22,31,32
Chapter 6.3 (p 404) #4,8
Chapter 6.4 (p 415) #2

HW11. (due W, Nov 30)
Chapter 7.1 #12
Chapter 7.2 #2,15
Chapter 7.3 #6,10,12
Chapter 7.4 #4,10,13
Chapter 7.5 #1

Auxiliary Problems. (never due)
Chapter 7.5 #3
Chapter 7.6 #4,6
Chapter 7 Review #3,12,23
Chapter 8.1 # 2,6,15
Chapter 8.2 #7
Chapter 8.3 #13
Chapter 8.4 #5,7,12
The online supplement to the textbook with some nice slides in it.

Some proofs that we spoke about in class.

Midterm: on W, Oct 26

Final Exam: on T, Dec 13