## Math 243 (Honors Vector Calculus) Fall 2015

### General Information

Final exam review information is now available.

• Instructor: Prof. Jeremy Martin
• E-mail: (the best way to contact me)
• Office: 618 Snow Hall, (785) 864-7114
• Office hours: Tue/Wed, 1:00-2:00 PM, or by appointment

• Lectures: MWF, 11:00-11:50 AM, 564 Snow
• Prerequisite: Math 122 or Math 142 or equivalent, and invitation from the Department of Mathematics
• Textbook: S.J. Colley, Vector Calculus, 4th ed.
• KU course number: 20970
• Syllabus

### Important Dates

• Mon August 24: First day of classes
• Mon August 31: First homework assignment due
• Mon September 7: No class - Labor Day
• Mon September 14: Last day to drop a class
• Mon September 21: Last day to add a class
• Monday, October 5: Test #1 (in class)
• Mon October 12: No class - Fall Break
• Mon November 9: Test #2
• Wed November 18: Last day to withdraw
• Wed November 25 and Fri November 27: No class - Thanksgiving
• Fri December 11: Stop Day
• Tue December 15: Final exam (10:30am-1:00pm)

### Homework Assignments

Note: "Misc" refers to the Miscellaneous Exercises at the end of each chapter (not the True/False Exercises).

AssignmentDue dateRegular problemsHonors problems (point values in blue)
HW #1 Mon 8/31 [1.4] #25
[1.5] #4, 9, 16, 18, 28, 33, 38
[2.6] #2, 6, 18, 26
[3.1] #4, 8, 16
[1.3] #32 (3), #36 (3)
[1.6] #42 (3)
[1.Misc] #3 (3)
HW #2 Wed 9/9 [1.4] #19, 23
[1.6] #10*
[1.7] #22, 31, 32, 42
[1.Misc] #22, 28**
[1.7] #43-47*** (5)
[1.Misc] #27 (4)

* Your proof should be a calculation with vectors. Once you've done that, interpret the equation geometrically.
** You don't have to do #27 in order to do #28; you can just use the result.
*** In #46, if you don't know what induction is, that's okay; just make a coherent argument as to why the stated equalities hold for all k = 2, ..., n-1. For additional credit, explain how to define hyperspherical coordinates if one or more Cartesian coordinates are zero.

HW #3 Mon 9/14 [2.2] #2, 6, 8, 18, 23, 28, 34, 37, 46, 50
[2.Misc] (p.183) #9
[2.2] #52 (4), #53 (3)
This problem (3)
HW #4 Mon 9/21 [2.3] #14, 26, 28, 38, 41, 47, 54, 56, 59 [2.3] #58 (4)
This problem (4)
HW #5 Mon 9/28 [2.4] #24, 27, 30
[2.5] #10*, 16, 22, 26, 36
[2.6] #9**, 20, 26, 38, 41
[2.6] #14*** (4)
[2.Misc] #22 (3)
* Here is what the glissando sounds like.
*** To expand on the hint: If you find yourself trying to solve a complicated differential equation, think about how you can replace it with a simpler one.
HW #6 Wed 10/14 [3.1] #14, 26, 27, 33
[3.2] #2, 9, 16, 20
[3.Misc] #13, 14
[3.2] #35 (3)
[3.Misc] #15 (3)
[3.Misc] #27 (5)
HW #7 Mon 10/19
Wed 10/21
[3.3] #4*, 5*, 6*, 12*, 18, 22, 24
[3.4] #2, 6, 13
[3.3] #25 (2), 26 (2), 30 (3)
* You can use a computer to do the sketches, although it's not a bad idea to draw at least one of the 2-dimensional vector fields by hand.
HW #8 Mon 10/26 [3.4] #8, 12, 16, 20
[3.Misc] #44
[5.2] #3, 26, 29
This problem (4)
[5.2] #40(a) (4)
[5.2] #41 (5)
HW #9 Mon 11/2 [5.4] #4, 10, 18, 22
[5.5] #4, 6, 10, 16, 20, 30
[5.6] #4*, 12*, 18*
This problem (12)
* These problems will require you to refer to the discussion of centers of mass, centroids, etc. in Section 5.6.
HW #10 Mon 11/16 [6.1] 2, 12, 17, 21, 38
[6.2] 4, 8, 12, 16, 22, 26
That problem (12)
HW #11 Mon 11/23 [6.3] 2, 4, 14, 16, 19, 28, 33
[6.Misc] 14, 23, 34*
These problems (17)
* You haven't seen eρ before, but for this problem all you need is the definition of it on p.72.
HW #12 Mon 12/7
Wed 12/9
[7.1] 4, 10, 12, 24
[7.2] 2, 4, 12, 14, 20, 28
[7.3] 4, 8, 12, 20
[7.1] 30 (3)
[7.2] 29 (4)
[7.3] 27 (4)
[7.Misc] 33 (5)