Fall 2006 Math 152H-1 Information
Contact Information: Lawrence Roberts
A345 Wells Hall
{instructor's first name} {at} math {dot} msu {dot} edu
Office Hours:
M 10:30 - 11:30 am
W 12:30 - 1:30 pm
Th 2:00 - 3:00 pm
These are subject to change depending upon demand, but those hours listed on this website will be correct.
If you cannot make these times, send me an email and we can make an appointment.
The syllabus can be found at
The mid-terms, reviews, and solutions collected in one place:
If you want more review problems, try looking at the end of each chapter in the book. There is a set ofadditional problems and a set of review problems which could be helpful.
The assignments and readings will be listed here as they occur.
Class notes In class notes for August 28
Reading and homework for Wednesday, August 30th
Reading and homework for Friday, September 1st
Homework for Wednesday, September 6th
Reading for Wednesday, September 6th
Homework solutions for the homework for September 6th
Reading for September 8th. Also see Sec. 2.1 in the book
Homework solutions for the homework due September 8th
Reading for September 11th. Also see Sec. 2.2, 2.4, 2.5 in the book
Homework due September 11th.
Reading for September 13th.
Homework due September 13th.
Reading for September 15th.
Homework due September 15th.
Homework and Reading for September 18th.
Solutions for homework due September 15th.
Homework and Reading for September 20th.
Homework and Reading for September 22nd.
Solutions for homework due September 20th.
Homework and reading for September 25th.
Review problems for Wednesday September 27th.
Solutions to the review problems.
I have finished grading the first mid-term, and generally the scores were pretty good. It was a hard exam,so take a break for the weekend. For what it's worth:
Solutions to the first Mid-term
Homework for October 2
Homework for October 4 Look at section 3.3 171-176, do problems #3, 11, 21, 28. This will be useful for next time.
Section 3.6 # 19, 29, 41, 43, 49, 55, 57, 59, 62, 63, 67. Also, consider the equation for a circle, centered at the origin,
and with radius r: x^{2} + y^{2} = r^{2}. Show that the absolute value of y''/[1 + (y')^{2}]^{3/2} is 1/r. Here x^{3/2} means x raised to the three-halfs power.
Homework for October 6 Section 3.7 #1, 3, 4, 7, 11, 13, 14, 17, 19, 20, 23, 24, 31, 32, 37.
Homework and reading for October 9th.
Homework and reading for October 11th.
Homework for October 13 Section 4.1 #17, 19, 23, 29, 37, 41, 45, 47, 51, 54, 57, 59, 61, 69.
Homework for October 16 Section 4.2 There are many examples in the section similar to the homework problems
If you have trouble, look back through the section. #3, 5, 10, 13 (Why is f' continuous?), 15 (note: you must show that
there is at least one zero as well as at most one zero), 17, 19, 23, 47, 54, 55, 58, 63, pg. 322 # 8 (you should find the absolute max/min in (a)).
Homework for October 18 Section 4.6 # 2, 3, 7, 10, 11, 13, 15, 16, 18, 22, 23 (multiply by conjugate/conjugate), 27, 31, 33, 34
Homework for October 20 Section 4.3 # 3, 7, 9, 15, 17, 21, 24, 27, 33, 43, 45, Section 4.4 # 3, 5, 11, 19, 31, 41 Note: For 4.4 # 3, 5 you will need to calculate derivatives. You can't really find the points by looking at the graphs.
Homework for October 23 Section 4.4 # 34, 35, 36, 57, 69, 77, 80, draw the graph of the function with thefollowing properties f'(x) = f(x)(3 - f(x)) and f(0) = 1. Note that this means that f'(3) = f'(0) = 0. (you can still workout whether it is increasing or decreasing as x increases, but now this will be in terms of the value of f(x). A hint: y=0 and y=3 are horizontal asymptotes for f(x))
Homework for October 25 Section 4.5 # 1, 3, 5, 8, 12, 15, 31, 43, 52a, 55
Homework for October 27 Read section 4.7 pgs 299-302, 303, section 4.5 # 18 (go as far as you can, section 4.7is helpful), 23, 24, 28, 29, 33, 37, 39abc, 56 (use sin(2x) = 2sin(x)cos(x)), 59a, pg 321 #72.
Homework for October 30 Read section 4.8, section 4.7 # 3, 9, 10, 26. For your own interest you mightread "Fractal Basin's and Newton's Method", pg 303. section 4.8 # 3, 7, 17, 21, 27, 31, 33, 35
Homework for November 1 Read section 5.5, section 4.8 # 45, 49, 53, 61, 63, 69, 77, 79, 83, 88, 93, 101Find an anti-derivative for each of the following: y=(1 + 2x)^{-2} and y=-2 cos(1 + 5x). ("a^{b}" means "a" raised to the "b"th power).
Homework for November 3 Section 5.5 # 7, 9, 13, 17, 21, 25, 31, 36, 39, 46, 47, 49, 53, 61. Believe it ornot, #46, 47 can be done with substitution. If you want a hint: Hint. If you would like a better way of finding the anti-derivative of x(1 + x)^{1/2}, look at section 8.2. This will be done next semester, so you have plenty oftime.
Review problems for the mid-term on November 10th.
Detailed solutions to review problems for the mid-term on November 10th.
Homework for November 15 Section 5.4 # 5, 11, 17, 23, 37, 39 (graph these first!), 43, 47, 49, 56, 63, section 5.6 # 5, 7, 11, 19, 21, 23, 26, 27, 31
Homework for November 17 Section 5.4 # 27, 33, 35, 62, 67 section 5.6 # 37, 45, 49, 53, 63, 65, 73, 78, 87
Homework for November 20, due Nov 27 read Section 5.1, do # 3, 7, 11. read section 5.2, pgs. 335-338 do # 1, 7, 9, 13, 15, 17, 19 (look at page 338), 23, 25
Homework on Riemann sums, November 27.
More homework on Riemann sums, November 29.
Homework for December 1. Do problems 5.4 # 77, 78. That's it for the homework! Next week we review, so look through the topics in chapters 2-5 and select a few you wish to go over. On Monday I'll give more details about the final.
Some review problems fo Friday Dec. 8.