Homework Assignments & Course Schedule for Math 112-003, Fall 2006

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:
  • Start algebra review
• 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:
  • § 2.1
• 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:
  • §§ 2.2, 2.3, 2.4
• 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:
  • §§ 2.5–2.7
• 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:
  • §§ 2.8, 2.9
• 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 1^st derivative
• Read:
  • § 3.1
• 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 2^nd derivative
  • Absolute Maximum and minimum, applications
• Read:
  • §§ 3.2, 3.4, 3.5
• 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:
  • §§ 3.6, 3.7
• 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:
  • §§ 4.1–4.4
• 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:
  • § 4.5
• 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:
  • §§ 5.1–5.4
• 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:
  • §§ (5.1–5.4), 5.5, 5.7
• 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:
  • §§ 5.1–5.5, 5.7
• 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:
  • Review
  • Test III
• 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.