Math 427L: Advanced Calculus for Applications II
Unique #56015, Fall 2012
Instructor: Brittany D. Froese
bfroese@math.utexas.edu
Homework Assignments
Homework will be due at the beginning of the discussion session
on the due date. No late assignments will be accepted.
However, your lowest homework score will not be used to compute
your final grade. To receive credit for homework solutions,
you must show all your work, not merely the final answers. A
few of the problems will be selected for marking, and part of the
homework mark will be for completion.
Assignment #1 (Due Tuesday September 11)
1.1 # 6, 10, 13, 18, 24, 28, 31
12. #6, 8, 14, 17 (Do for Exercise 6, NOT 9-11), 18, 20, 29
1.3 #2a, 4, 7, 10, 15c, 16c, 34
1.4 #2, 3, 5, 6ac, 14
Partial
Solutions
Assignment #2 (Due Thursday September 20)
1.5 #2a, 6, 7
2.1 #2, 4, 8, 9, 16, 29, 32
2.2 #1, 2, 8, 10, 14
Partial
Solutions
Assignment #3 (Due Tuesday September 25)
2.3 #2, 3, 6, 12, 18
2.4 #2, 6, 8, 12
Partial
Solutions
Assignment #4 (Due Tuesday October 2)
2.5 #3c, 6, 8, 10, 13
2.6 #2c, 3c, 4, 8a, 10b, 13
Partial
Solutions
Assignment #5 (Due Tuesday October 9)
3.1 #4, 6, 12
3.2 #1, 2, 6
3.3 #4, 6, 14, 20, 28, 29
3.4 #4, 5, 9, 20, 28
Partial
Solutions
Assignment #6 (Due Tuesday October 16)
Let r(t) be a vector-valued function and suppose that ||r(t)||
is constant (does not depend on t). Show that r(t) and
r'(t) are orthogonal.
Hint: Consider the derivative of r(t) · r(t)
4.1 #4, 6, 7, 12, 15, 20
4.2 #2, 5, 8, 12
4.3 #4, 9, 10, 16, 20
Partial
Solutions
Assignment #7 (Due Tuesday October 23)
4.4 #3, 4, 14, 15, 18, 26, 32, 34
5.1 #3
5.2 #2, 4
Partial
Solutions
Assignment #8 (Due Tuesday October 30)
5.3 #1, 4af, 9, 12
5.4 #1ad, 2, 3a, 4ac
5.5 #1, 4, 7, 10, 22
Partial
Solutions
Assignment #9 (Due Tuesday November 6)
6.2 #2, 4, 15, 16, 21, 23, 25, 26, 27
7.1 #2, 4, 6, 12, 14
Partial
Solutions
Assignment #10 (Due Tuesday November 13)
7.2 #1, 2, 3ab, 4ad, 6, 11, 13, 14, 16, 17, 18
7.3 #2, 7, 10, 14, 15
Partial
Solutions
Assignment #11 (Due Tuesday November 27)
7.4 #1, 2, 4 (just compute this once using the formula from class),
6, 13, 24
7.5 #2, 4, 6, 7, 20
7.6 #1, 2, 4, 6, 12 (In part (c), just compute the heat flux through
the vertical wall)
Partial
Solutions
Assignment #12 (Due Thursday December 6)
8.1 #4, 8, 14, 15, 18, 20, 23
Note: In problem 8, assume the particle starts at the origin.
8.2 #1, 4, 8, 13, 18
Note: The last point in problems 1 and 4 should be (-1,3,-2).
8.3 #2, 4, 8, 20
8.4 #4, 6, 11, 14, 21
Partial
Solutions
Quiz Solutions
Quiz #1 (September 4)
Quiz #2 (September 10)
Quiz #3 (September 20)
Quiz #4 (October 5)
Quiz #5 (October 9)
Quiz #6 (October 30)
Quiz #7 (November 13)
Quiz #8 (December 4)
Exams
Midterm #1 will be based on material from Assignments 1 - 3 (1.1
- 2.4).
Practice Midterm #1, Solutions
Midterm #1 Solutions
Midterm #2 will be based on material from Assignments 4 - 7 (2.5
- 5.2)
Practice Midterm #2, Solutions
Midterm #2 Solutions
Midterm #3 will be based on material from Assignments 8-10 (5.3 -
7.3)
Practice Midterm #3, Solutions
Midterm #3 Solutions
Final exam will be cumulative
Time: Saturday December 15, 2 - 5 PM
Location: ECJ 1.202
Practice Final, Solutions
Other Resources
Video
of a tricycle with square wheels.
Stewart, Calculus is a good source of extra practice
problems.