"Honors Calculus" |
General Course Information |
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| 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 |
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Homework |
Notes |
Exams |
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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 |