Homework Assignments & Course Schedule for Math 112-003, Fall 2006
In the following all sections and page numbers refer to the required
course textbook, Calculus and Its Applications, Eighth Edition,
by Marvin L. Bittinger.
Week of August 21:
- Send me e-mail: Please send me (at
jonathan.poritz@gmail.com
) a message telling me:
- Your name.
- Your e-mail address.
- Your year/program/major at UCCS.
- Past math classes you've had.
- The reason you are taking this course.
- Anything else you think I should know (disabilities, etc.)
- Content this week:
- Read:
- the Appendix (pp. 551-562), plus any book(s) (web sites?)
of your own choosing with review of basic algebra and Cartesian
geometry.
- Exercises:
- start the exercises due next Tuesday.
Week of August 28:
- Content this week:
- Finish algebra review
- Algebra review quiz
- Read:
- the Appendix again
- Chapter 1
- HW1 — Exercises due Tuesday, August 29:
- Exercise Set A, p. 561: 5, 9, 17, 21, 33, 45, 47, 77, 103, 105, 129,
133, 153, 155, 157, 159, 165
- HW2 — Exercises due Thursday, August 31 (or Tuesday, if
possible!):
- §1.1, p13: 13, 15, 17
- §1.2, p25: 19, 49
- §1.3, p37: 3, 5, 7, 49, 50
- §1.4, p51: 11, 17, 59, 63
- §1.5, p71: 17, 19, 41
- During Tuesday's review for the Thursday quiz, I handed out
this sample algebra skills quiz.
- Quiz on Thursday: we will have a basic quiz covering the
algebra background which will be necessary for this course.
Week of September 4:
- Content this week:
- Limits — numerically and graphically
- Read:
- NO CLASS on Tuesday, it's Labor Day
Week of September 11:
- Content this week:
- Limits algebraically
- Average rates of change
- Derivative with limit definition
- Read:
- HW3 — Exercises due Tuesday, September 12:
- § 2.1: 1, 3, 5, 7, 13, 15, 17, 23, 37
Week of September 18:
- Content this week:
- Power, sum, difference, product, quotient rules for the derivative
- Applications of the derivative
- Read:
- HW4 — Exercises due Tuesday, September 19:
- § 2.2: 7, 11, 15, 23, 35
- § 2.3: 17, 19, 23, 25
- § 2.4: 7, 13, 17, 23, 25
Week of September 25:
- Content this week:
- Chain rule
- Higher-order derivatives
- Read:
- HW5 — Exercises due Tuesday, September 26:
- § 2.5: 23, 35, 39, 45, 47, 67, 73
- § 2.6: 1, 3, 9, 11
- § 2.7: 1, 11, 89, 111
Week of October 2:
- Content this week:
- Test I
- Maximization and minimization with 1st derivative
- Read:
- HW6 — Exercises due Thursday, October 5 (but work on them before
the test on Tuesday!):
- § 2.8: 13, 15, 17, 23, 37, 63, 73
- § 2.9: 3, 17, 31
- Here is a review sheet for Test I.
- Test I on Tuesday (covering chapters 1 and 2)
- Answering popular demand, I am posting a solution to the midterm
questions. It comes in three pieces: Problem
1, Problems 2&3 and
Problems 4&5&6.
Week of October 9:
- Content this week:
- Maximization and minimization with 2nd derivative
- Absolute Maximum and minimum, applications
- Read:
- HW7 — Exercises due Tuesday, October 10:
- § 3.1: 1, 9, 11, 13, 17, 61
Week of October 16:
- Content this week:
- Differentials
- Implicit differentiation and related rates
- Read:
- HW8 — Exercises due Tuesday, October 17:
- § 3.2: 1, 15, 17, 25, 31, 39
- § 3.4: 35, 57, 59, 85, 99
- § 3.5: 21, 23, 31, 41
Week of October 23:
- Content this week:
- Exponentials and logarithms
- Derivatives thereof
- Applications: growth and decay
- Read:
- HW9 — Exercises due Tuesday, October 24:
- § 3.6: 31, 33, 35
- § 3.7: 1, 3, 7, 13, 19, 21, 23, 25, 27
Week of October 30:
- Content this week:
- Review
- Exponentials and logarithms
- Read:
- HW10 — Exercises due next Tuesday, November 7:
- § 4.1: 21, 35, 55
- § 4.2: 5, 7, 15, 17, 55, 57, 67
- § 4.3: 3, 7, 15
- § 4.4: 1, 3, 5
- Tuesday's class will be a review session run by our SI rep; this is
optional, but will surely be very useful. I will have extra office hours
on Wednesday and Thursday (before the test), and will answer e-mailed
questions as frequently and often as I can in the days leading up to
the test. Please turn in this week's homework on Thursday, rather than
the usual Tuesday.
- Here is a review sheet for Test II.
- Test II (covering chapters 3 and 4) rescheduled for next
Tuesday
Week of November 6:
- Content this week:
- Test II
- Antidifferentiation
- Areas
- Integrals
- Read:
- HW11 — Exercises due Tuesday, November 7:
- § 4.5: 3, 5, 7, 17, 23, 25, 27, 29, 31
- Test II on Tuesday
- please turn in HW10 and HW11 on Tuesday
Week of November 13:
- Content this week:
- More on antidifferentiation, areas, integrals
- U-substitution
- Read:
- HW12 — Exercises due Tuesday, November 14:
- § 5.1: 3, 5, 17, 23, 31, 35, 37
- § 5.2: 3, 5, 7, 41, 65, 67
- HW13 — Exercises due Thursday, November 16:
- § 5.3: 3, 7, 23, 25, 27
- § 5.4: 13, 17, 31
Week of November 20:
- Content this week:
- Tables of integrals
- more U-substitution
- more techniques and applications of integration
- Read:
- HW14 — Exercises due Tuesday, November 21:
- § 5.5: 1, 11, 17, 21, 31, 49
- § 5.7: 13, 17, 23, 27
- NO CLASS on Thursday, it's Thanksgiving
Week of November 27:
- Content this week:
- Do the following exercises by Tuesday, November 28; they are not
to be handed in, however:
- Chapter 5 Review Exercises (p. 427): 1-19, 23-28, 31, 32, 34, 36, 37,
38, 39, 41, 42, 43, 46
- Chapter 5 Test (p. 428): 1-13, 16-19, 21, 22, 25, 31
- No review sheet for this test: we covered all of Chapter 5
other than "integration by parts" (=§5.6)
- Test III on Thursday (covering Chapter 5)
Week of December 4:
- Content this week:
- Practice tests, review, many example problems
- Exercises to be doing:
- Chapter 2 Review Exercises (p. 178): all [but especially 4-15, 20, 21,
and 27-35]
- Chapter 2 Test (p. 180): all [but especially 1b, 4-19, 24, 25, and
27-35
- Chapter 3 Review Exercises (p. 279): 1-27, 30-36 [but particularly
1-8, 13-23, and 35]
- Chapter 3 Test (p. 281): 1-24, 28-30 [1-8, 13-20 and 28]
- Chapter 4 Review Exercises (p. 356): 1-18, 22, 28, 29, 31, 32
[particularly 1-11, 28, 29, 31, and 32]
- Chapter 4 Test (p. 358): 1-11, 21, 22, 24, 25 [particularly 1-8]
- (and don't forget the Chapter 5 Review Exercises and Test from
last week)
- Core ideas/sections/subjects to study:
- from Chapter 2:
- fundamentals of limits, continuity
- things about tangents (e.g., "find those points on a particular
curve with horizontal tangent", "find the equation of the tangent
line"]
- differentiation techniques -- sum, product, quotient, power and
especially the Chain Rule
- the idea of a few particular cases of derivatives, such as the
derivative of position is velocity and so on.
- from Chapter 3:
- finding max min: getting critical points, checking endpoints, and/or
using the first or second derivative test
- curve sketching (increasing/decreasing, concave up/down) [we covered
it a bit, but it will not be on the final]
- implicit differentiation
- from Chapter 4:
- some elementary properties of exp and log (this will not be
directly the subject of a final question, and will only
minimally effect any other question)
- derivatives of exp and log
- from Chapter 5:
- what is an indefinite and definite integral; signed areas
- integrals of powers and exp, U-substitution
- Extra review session on Saturday, December 9th, at 1PM —
meet in the lobby of the Engineering Building
Week of December 11:
- Tuesday, December 12th, 2006:
- FINAL EXAM -- a calculator is not necessary (and a
graphing calculator is forbidden); closed book and notes.
Jonathan Poritz
(jonathan.poritz@gmail.com)