Resources (Updated 1/28)
Syllabus
Paul's Online Math Notes - Calculus I
Paul's Online Math Notes - Calculus II
Announcements (Updated 5/31)
Solutions for Test 5 are posted below.
Optional Review Sessions for the Final will be held Mon. 6/3 and Tue. 6/4 at 3:30 PM in Room 632 (or a nearby room, if that room is unavailable). Please try to attend the Monday Session. The Tuesday Session is primarily for those who cannot attend Monday, and/or have last minute questions to resolve. The Tuesday session will end promptly at 4:00 PM, so that attendees can go home and study.
For both classes, the Final Exam will be held Wednesday 6/5 during Periods 3 & 4 (10:50 AM -12:35 PM) in Room 630. The final will cover textbook section 8.7 (not covered on previous tests), as well as all of the material from previous tests. The format of the Final Exam will likely be (format not guaranteed) 20 Multiple Choice Problems (40%) and 6 Free Response Problems (60%), with the 6 Free Response Problems being substantially similar to Problems taken from your Tests 1-5.
Appointment sign-up sheets for the remainder of the semester are posted outside room 719D. Please use them!
Test 5 will be Friday May 31 and cover textbook sections 8.3, 8.4, 8.5, & 8.6. A blank copy of Spring 2012 Test 5 can be found here. Coverage also includes Spring 2012 Test 4 Problems 6, 7, 9, & 10 (link to blank copy below). A working command of textbook sections 8.1 & 8.2 (e.g., Geometric Series, Divergence Test) will also be required.
Solutions and Statistics for Test 4 are posted below.
A blank copy of Spring 2012 Test 4 can be found here. (The solutions are in the Spring 2012 section of this website, and the broken links have been fixed.) The topics covered on your Test 4 are different, and will include Spring 2012 Test 3 Problems 11 & 12 (see below for a blank copy) as well as Spring 2012 Test 4 excluding Problems 6, 7, 9, & 10.
Test 4 will be Monday 5/13 and cover HW 6.3, 6.4, 8.1, & 8.2. You will also be expected to be proficient in all the mathematics you have covered from first grade up through and including Test 3.
Solutions and Statistics for Test 3 are posted below.
Test 3 will be Tuesday 4/23 and cover textbook sections 5.10, 6.1, & 6.2, as well as any other material covered in class since Test 2 which is not in the textbook. You will also be expected to be proficient in all the mathematics you have covered from first grade up through and including Test 2.
Solutions and Statistics for Test 2 are posted below.
Important Note: There is a minor mistake in the one of the problems on the Solutions for Test 2. Please identify and correct this mistake yourself. You will be responsible for doing this problem correctly, should it appear on the Quiz.
There will be a "Test 2 Redemption Quiz" sometime between 4/4 and 4/12 (inclusive). The exact date will not be announced in advance. The quiz will be given during the first 12-15 minutes of class (TBD). Late arrivals will not be given extra time, and no make-up quizzes will be given without a doctor's note or equivalent documentation of justified absence. The Quiz will consist of two problems selected (by me, verbatim) from Test 2. There will be no partial credit - each problem will be awarded either 0 or 9 points, so the only possible scores on the quiz are 0, 9, or 18. In order to receive 9 points on a problem, you will need to use proper mathematical notation, show appropriate and sufficient algebraic work, and get the correct answer. These points will be added directly to your Test 2 score.
Test 2 will be Tuesday 3/19 and cover textbook sections 5.5, 5.6, & 5.7, as well as any other material covered in class which is not in the textbook.
Solutions and Statistics for Test 1 are posted below.
Test 1 will be Friday 2/15 and cover textbook sections 4.9, 5.2, 5.3, & 5.4.
Welcome to Calculus II.
Homework (Updated 5/28 - All Remaining Assignments Are Posted)
(Note: You are responsible for all Homework posted and/or updated before 5:00 PM, if due the next class day, but please check the due dates carefully)
Some assigned textbook problems have a "calculator graphing" component. That part of the problem (only) is optional; the rest of the problem is required.
HW 8.7
Page 615 Problems 9-15 odd, 19, 21, 23
Period 1 Due Mon 6/3 - but do as much as you can for Thu 5/30
Period 4 Due Mon 6/3 - but do as much as you can for Thu 5/30
HW 8.6
Page 604 Problems 3-23 odd, 35
Period 1 Due Thu 5/30
Period 4 Due Tue 5/28
HW 8.5
Page 598 Problems 3-21 odd, 25, 27
Period 1 Due Thu 5/23
Period 4 Due Fri 5/24
HW 8.4B
Page 592 Problems 19-35 odd
Period 1 Due Mon 5/20
Period 4 Due Tue 5/21
HW 8.4A
Page 592 Problems 1-13 odd, 17
Period 1 Due Fri 5/17
Period 4 Due Mon 5/20
HW 8.3
Page 585 Problems 1-27 odd
Period 1 Due Thu 5/16
Period 4 Due Fri 5/17
Please have HW 6.3, 6.4, 8.1, & 8.2 ready to turn in and/or present at the board on Thursday 5/9.
HW 8.2
Page 574 Problems 9, 10, 11-31 odd, 35, 37, 41, 45, 48
Period 1 Due Tue 5/7
Period 4 Due Thu 5/9
HW 8.1
Page 565 Problems 3-33 odd, 37, 41-49 odd
Period 1 Due Thu 5/2
Period 4 Due Fri 5/3
HW 6.4
Page 469 Problems 3, 5, 7, 9, 13
Period 1 Due Tue 4/30
Period 4 Due Tue 4/30
HW 6.3
Page 79 Problems 7, 11, 13; Page 230 Problems 69, 71; Page 465 Problems 3, 5, 7, 9
Period 1 Due Mon 4/29
Period 4 Due Mon 4/29
HW Test 3 Practice
Do Spring 2012 Test 3. Skip problems 11 and 12 - we did not yet cover that material.
Due Mon 4/22
HW 6.2B
Page 458 Problems 27, 33, 43, 49, 53
Period 1 Due Fri 4/19
Period 4 Due Fri 4/19 (no class Friday, but you should complete the HW by then so that you can study for the Test over the weekend)
HW 6.2A
Page 457 Problems 1-15 odd
Period 1 Due Tue 4/16
Period 4 Due Tue 4/16
HW 6.1
Page 446 Problems 1- 15 odd (you may omit drawing the "approximating rectangle"), 27, 29, 37
Period 1 Due Mon 4/15
Period 4 Due Mon 4/15
HW 5.10Z
Answer the four questions which can be found here.
Period 1 Due Thu 4/11
Period 4 Due Thu 4/11
HW "Fun with Test 2 Problem 12"
For Problem 12 on your Test 2:
A) Use the definition of the hyperbolic sine function (which, if you have forgotten, you can find on Reference Page 4 of your textbook) to simplify the integrand.
B) Evaluate the indefinite integral using the simplified integrand (which should be very easy).
C) Use the definition of the hyperbolic cosine function (which, if you have forgotten, you can find on Reference Page 4 of your textbook) to simplify the form of the answer given in the Solutions.
D) Your answers to part B) and C) should agree, if not find your mistakes!
Period 1 Due Mon 4/8
Period 4 Due Mon 4/8
HW 5.10B
Page 431 Problems 2, 13-37 odd, 41-47 odd, 57
Period 1 Due Tue 4/9 - extended
Period 4 Due Tue 4/9 - extended
HW 5.10A
Page 431 Problems 5, 7, 9, 11
Period 1 Due Fri 3/22
Period 4 Due Fri 3/22
HW 5.8
Do the problem found here.
Period 1 Due Thu 3/21
Period 4 Due Thu 3/21
HW 5.7X
1) Do the remaining 5.7C problems which have irreducible quadratic factors in the denominator.
2) Do last year's Test 2. A blank copy can be found here.
3) Go to http://www.wolframalpha.com and type in HW 5.7B Problem 14 to check the answer of 40/3 we computed in class. Try your own "natural language" description of the problem first, but if you can't get it to work, try "integral from 0 to 2 sqrt(3) of x^3 / sqrt(16 - x^2)"
Please have HW 5.7 (A, B & C) ready to turn in and/or present at the board on Thursday 3/14.
(Except Problems 21, 23, and 27 have irreducible quadratic factors in the denominator - we will do these in class Thursday)
HW 5.7C
Page 404 Problems 17-31 odd
Period 1 Due Thu 3/14
Period 4 Due Thu 3/14
HW 5.7B
Page 404 Problems 7, 9, 11, 13, 14
Period 1 Due Tue 3/12
Period 4 Due Tue 3/12
HW 5.7A
Page 398 Problem 34; Page 404 Problems 1, 3, 5; plus this problem.
Period 1 Due Mon 3/11
Period 4 Due Mon 3/11
Please have HW 5.6 (except possibly Problems 34 & 44) ready to hand in on Thursday 3/7.
HW 5.6
Page 398 Problems 1-31 odd, 34, 43, 44
Period 1 Due Thu 3/7
Period 4 Due Thu 3/7
Please have HW EO.B, EO.C, 5.5A, and 5.5B ready to turn in and/or present at the board on Fri 3/1.
HW 5.5B
Page 392 Problems 39-53 odd, 57, 59, 63, 65
Period 1 Due Fri 3/1
Period 4 Due Fri 3/1
HW 5.5A
Page 392 Problems 1-33 odd
Period 1 Due Thu 2/28 (but you should complete as much as possible for Tue 2/26)
Period 4 Due Thu 2/28 (but you should complete as much as possible for Tue 2/26)
HW EO.C
Consider the proposition: "If f(x) is neither even nor odd and g(x) is neither even nor odd then f(x)g(x) is neither even nor odd."
Prove or provide a counterexample.
Period 1 Due Tue 2/26
Period 4 Due Tue 2/26
HW EO.B
Complete the homework problems distributed in class on 2/22, which can also be found here.
Period 1 Due Mon 2/25
Period 4 Due Mon 2/25
HW EO.A
Compute the even and odd components of the function f(x) = |x+1|. Express the even and odd components as piecewise-defined functions without using absolute value, and sketch their graphs.
Period 1 Due Fri 2/22
Period 4 Due Fri 2/22
HW 5.X
Review the homework problems and do Spring 2012 Test 5. A blank copy can be found here.
Period 1 Due Thu 2/14
Period 4 Due Thu 2/14
Please have all the below homework ready to turn in and/or present at the board on Tue 2/12.
HW 5.4B
Page 383 Problems 11, 13, 15, 16, 17
Period 1 Due Tue 2/12
Period 4 Due Tue 2/12
HW 5.4A
Page 383 Problems 3, 6, 9, 18, 19, 21, 22, 25, 26, 27
Period 1 Due Mon 2/11
Period 4 Due Mon 2/11
HW 5.3
Page 374 Problems 3-29 odd, 35, 37, 41, 43, 46
Period 1 Due Fri 2/8 (but complete as much as possible for Thu 2/7)
Period 4 Due Fri 2/8 (but complete as much as possible for Thu 2/7)
HW 5.2B
Page 364 Problems 5, 7, 21, 31, 32, 41, 43
Period 1 Due Tue 2/5
Period 4 Due Tue 2/5
HW 5.2A
Page 364 Problems 17, 19, 27, 35, 37, 44
Period 1 Due Mon 2/4
Period 4 Due Mon 2/4
HW 4.9
Page 332 1-29 odd, 30, 31
Period 1 Due Thu 1/31
Period 4 Due Thu 1/31
Note: All Test Statistics are before adding make-up points (if applicable).
Test 1
Test 2
Test 3
Test 4
Test 5
Statistics