Math 14
Fall Term 2003
Course Schedule
This schedule will be updated as the term progresses. Check for changes before starting your homework!
Date 
Read before that
date 
Problems due
that date 
Class discussion
that date 
Sept. 24 


Geometry and transformations of nspace 
Sept. 26 
1.11.5 
1.1 #6 1.2 #12, 19, 32, 37bc 1.3 #15, 26 1.4 #9, 21 1.5 #10, 16, 30 
Matrix Algebra 
Sept. 29 
1.6 
1.6 #2, 6 (You only need the def of  , not the Pythagorean Theorem stuff on p 54), 10, 11, 14. Supplementary problems from here 
Curvilinear coordinates 
Oct. 1 
1.7 
1.7 #8, 11, 12, 17, 18, 19, 20, 23, 24, 26, 33 (You may use Maple to help you, but make your sketches to turn in by hand.) 
Systems of Equations: Row Operations 
Oct.3 
2.1,2.2 
2.1 #12, 27, 35, and 37. Supplementary problems from here. 
Limits and Continuity Differentiability 
Oct.6 
2.3 
2.2 #1,2,3,8,10, 33, 36 2.3# 3, 6, 12, 16, 25 
Differentiability 
Oct. 8 
2.4, 2.5 
2.2 # 39, 42 2.3 #26, 27, 29, 32, 48, 49 
Chain Rule 
Oct.10 
2.5 
2.4 # 14, 18, 20 (don't give a trivial answer for part b), 21ab, 22 2.5 # 6, 9, 18, 20 (hint, start with right hand side), 26 
Inverse Matrices 
Oct. 13 
2.6 to p 166, 3.1 (through Ex. 6) 3.2 (through Ex. 8) 
2.6 # 6, 10, 12, 15 3.1 # 4, 20, 21 3.2 #3, 7, 12. Prove or give a counter example: the transpose of an invertible matrix is invertible and its inverse is the transpose of the inverse of the original matrix. 
Determinants I 
Oct 14 Xhour 

No
problems due but class meets today 
Determinants II 
Oct. 15 
3.3, 3.4 
3.3#3, 18, 24, 27 3.4 # 3, 8, 12ab, 16 Supplementary problems from here. 
Inverse and Implicit function theorems 
Oct. 17 
4.1 
4.1 #8, 17, 27a, 28, 31 2.6 #34, 39, 40, 42 2.5 # 24, 25 Supplementary problem from here. 
No Class 
Oct.20 
4.2, 4.3 
4.2 # 2, 22, 28, 35 4.3 # 1, 10, 18 
Area, Volume, and double integrals 
Oct. 20 

Review Session for Exam in Choate House Seminar Room, 6PM8PM 

Oct 21 Xhour 

Test
1 in Xhour Takehome exam passed out; due Thursday Oct. 23. 

Oct. 22 
5.1, 5.2 
5.1 #6, 7 5.2 #1, 5, 6, 17 
Double integrals 
Oct. 24 
5.2 
5.2 # 10, 11, 18, 22, 29 
Order of Integration 
Oct. 27 
5.3 
5.3 # 4, 9, 11, 14 
Triple Integrals 
Oct. 29 
5.4 
5.4 #4, 7, 8b, 10 (Hint: put the vertex at the origin and orient the cone upwards symmetrically with the zaxis), 14, 15, 19, 22, 5.3 #16 
Change of Variables 
Oct. 31 
5.5 through Example 9 
5.5 #2, 3, 4, 5, 7, 9, 10, 12. 
Change of Variables 
Nov. 3 
5.5 
5.5 # 15, 19, 20, 22, 26, 27, 28 
Applications 
Nov. 5 
5.6 
5.6 #2, 5, 8, 12 (Draw a picture), 14, 15, 16 (Use maple [plot3d] to draw a sketch of the region in 16. Experiment with dragging the sketch with the mouse to get a better view.) 
Line Integrals 
Nov. 7 
6.1 
6.1#3, 4, 6, 11, 16, 21 
Line Integrals 
Nov. 10 
6.1 
6.1 #14, 15, 17, 18, 19, 22 
Green's Theorem 
Nov. 11 Xhour 

Test
2 in Xhour. Takehome exam
passed out; due Thursday Nov. 13. 

Nov. 12 
6.2 
6.2 #5. 7, 10, 11, 17, 20 
Conservative Vector Fields 
Nov. 13 

Prosser Lecture: Sync: The Emerging Science of Spontaneous Order 
Steven Strogatz Cook Auditorium 7PM 
Nov. 14 
6.3 
6.3 #1, 2, 3 (Hint: Check out Th. 3.5 and Equation 1), 4, 12, 17 
Parameterized Surfaces 
Nov. 17 
7.1 
7.1 # 2, 4, 10, 11 (also d. By considering the derivative matrix of the parameterization), 14, 18, 24 
Surface Integrals 
Nov. 19 
7.2 through Thm. 2.5 
7.2 #4, 5, 7, 8,9 7.1 # 8, 21 
Surface Integrals 
Nov. 21 
7.2 
7.2 12, 13, 18, 19, 21, 22 
Stokes's Theorem 
Nov. 24 
7.3 
7.3 # 2, 3, 5, 11 (see Example 2), 15 
Gauss's Theorem 
Nov. 26 
Holiday 
Holiday 
Holiday 
Dec. 1 
7.3 
7.3 #6. 7. 12, 14, 16, 18 
Stokes, Gauss, Divergence and Curl 
Dec. 3 
7.3 
7.3 #17, 19, 20, 23, Integrating around a circle in the xy plane isn't quite correct at the bottom of p457. We should actually be integrating around an ellipse. Explain how Problem 23 fixes this. 26 (An intuitive explanation involving integrals, perhaps around interestingly shaped regions is sufficient as an explanation.) 
Wrap up and course evaluation Take home portion of Final exam passed out. It will be sealed so you can ask questions until you unseal it. 
Dec. 7 
Final Exam 
Take
home exam due 
Classroom portion today 