## Math 1290 Calculus for Modeling (soon to be renamed to Calculus for the Natural Sciences)

### Homework, Labs and Tests

• Set 1 Due Monday Sept. 11:
• Read Preface (p. xiv), intro to Ch. 1, Section 1.1
• Do Precalc/Algebra Review Sheet (not to hand in)
• Section 1.1 Problems, p. 10: 2a,3a,4a, 5,14, 21,24, 25a, 26a, 28, 30, 32a, 33a, 34a, 35b, 36

• Set 2 Due Friday Sept. 15:
• Read Section 1.2. Read Examples 5,8,9 especially carefully.
• Section 1.2 Problems, p. 32: 14, 28, 30, 33, 48, 49, 51, 61, 62

• Lab 1 Introduction to Excel. Tues. Sept 12. Due Tuesday Sept. 19.
• Set 3 Due Monday 9/25/2000:
• 1.2: 64bc,74
• Read Section 1.3. We will treat 1.3.2 more in Lab 2.
• 1.3: 3,4,9
• 1.5: 5 If you get answers that "overflow" your calculator, just indicate "overflow" for your answer.
• Read Sections 2.1 - 2.3
• 2.1: 1,5,13,17,21,25,35,47,59
• 2.2: 1
• 2.3: 1,4,9,17

• Lab 2 Transformation into straight lines? Tues. 9/26/2000. Due Friday 9/29/2000.
• Set 4 Due Monday 10/2/2000:
• Read Sections 2.4-2.5 and 3.1-3.6.
• 2.4: 7,18,19
• 2.5: 2,5,7,9,16
• 3.1: 2,5,9,12,14,21,26,30,35
• 3.2: 1,4,7,8,12,15,23
• 3.3: 1,5,6,9,17,19
• 3.4: 1,3,4,10,12,13,18,47
• 3.5: 1,2,5
• 3.6: 1,4,5,6

• Quiz 1 Tuesday 10/3/2000. Preview of Test 1, but fewer questions.
• Test 1 Friday Oct. 6, 2000 Ch 1, 2, 3.1-3.6. Does not include implicit differentiation or related rates in Sec. 3.4.

• Set 5 Due Friday 10/13/2000:
• 3.4: 21,22,30,39,46
• 3.5: 16
• 3.6: 22
• 3.7: 1,8,13,14,29,30

• Lab 3 Intro to Mathematica. Tues. 10/10/2000. Due Tuesday 10/17/2000.
• Set 6 Due Friday 10/20/2000:
• 4.1: 1,7,9,11,12,13
• 4.2: 1,5,21,23,28
• 4.3: 1,4,5,19,21,26,35
• 4.4: 1,15,20

• Set 7 Due Friday 10/27/2000:
• 4.5: 1,7,8,21
• 4.6: 2,3
• 4.7: 1,4,11,13,19,23
• 5.1: 1a,2,12

• Lab 4 Differentiation Problem Solving with Mathematica. Tues. 10/24/2000. Due Monday 10/30/2000.
• Set 8 Due Wednesday 11/1/2000:
• 5.1: 20, 29, 30 (Use result in Example 3 in part b), 33,34, 40,41,46,47 53,60,67,69,72

• Quiz 2 Friday 11/3/2000. Preview of Test 2, but fewer questions.
• Lab 5 Integration with Mathematica. Tues. 11/7/2000. Due Monday 11/13/2000.
• Test 2 Wednesday Nov. 8, 2000. Chapters 3,4, Sec. 5.1.
• Set 9 Due Friday 11/17/2000.
• Read: Sec. 5.2, Sec. 5.3 except for 5.3.4. Sec. 6.1 all, Sec. 6.2 through Example 5 only, Sec. 6.3 Example 6 only, Sec. 6.4 through Example 2 only.
• 5.2: 1,2,11,16,23,37,40,55,59
• 5.3: 1,2,17,22,26,28
• 6.1: 1,6,28,34,39
• 6.2: 3,10
• 6.3: 23
• 6.4: 1,5

• Lab 6 Intro to Differential Equations. IN MONH 209!!!!!!
Tues. 11/21/2000. Due Tues. 11/28/2000.
• Thanksgiving
• Set 10 Due Friday 12/1/2000.
• 7.1: 2,9,10,11,17,20,22
• 7.2: 1, 5ab (use eq. 7.49), 6abc, 9ab, 11,14, 20ab, 24ac. In addition,
1. include a phase line for each problem in this assignment: dots at equilibria, arrows in between. In problem 9, there should be two phase lines, one for part (a) and another for part (b).
2. Use the phase lines to obtain sketches of solutions to the differential equations. Include one solution corresponding to each equilibrium, and one solution which starts between each equilibrium.

• Quiz 3 Monday 12/4/2000. Preview of Test 3, but fewer questions.
• Lab 7 Differential Equations, 2nd lab. IN MONH 209
Tues. 12/5/2000. Due Mon. 12/11/2000.
• Test 3 Thursday 12/7/2000. Chapters 3?, 4?, 5, 6, Sec. 7.1-7.2.
• Set 11 Due Wednesday 12/13/2000:
• Sec. 7.2 14

• Review Set - Suggested Chapter Review Problems:
• Ch 1: 2 (exponential growth)
• Ch 2: 15 (predator-prey encounters)
• Ch 3: 36ad (radioactive decay)
• Ch 4: 7 (Monod growth rate), 8 (logistic growth)
• Ch 5: Read only: 1 (total river flow), 2 (average biomass growth)
• Ch 6: 1,3 (both u-substitutions)
• Ch 7: 1 (heating/cooling)

• Final Exam, Tues. Dec. 19, 8-10AM in MWAH 191. Cumulative: Sections we covered in Chapters 1 - 7, class material, lab material

FINAL EXAM STUDY SUGGESTIONS.
• Make sure you know how to do all problems on Tests 1,2, and 3.
• Go over old homeworks. Think how you would solve each problem before looking at how you actually did solve it. Look more carefully at any for which you are not sure how to solve.
• Do Chapter Review Problems.
• Get plenty of sleep. (This should probably be number 1.)

#### Homework Grading Notes:

Not all problems will be graded on each HW set. Typically a certain number will be chosen to grade, while the rest will be only checked to see whether they have been completed. A certain number of points will be assigned for these ungraded problems. For example, 5 points for the ungraded problems might be distributed as follows, depending on how much of the assignment is done: 100% 5 90% 4 70% 3 50% 2 25% 1 The first mistake in an incorrect problem is at least circled, but corrections are not necessarily made by the grader. It is up to you to ask about anything you do not completely understand.

This page (http://www.d.umn.edu/~bpeckham/www) is maintained by Bruce Peckham (bpeckham@d.umn.edu) and was last modified on Tuesday, 16-Jan-2001 14:43:19 CST.