Calculus 221 - Passman's Class (Lec 4)

• Weir, Hass & Giordano: Thomas' Calculus 11^th Edition, Addison Wesley
  Non-ET version, including differential equations.
  ISBN: Old style, 0-321-49069-X; New style, 9780321490698.

Syllabus:

Chapter 1. Preliminaries
1. §1.2--1.7. Real numbers, equations for lines, their slopes, Functions and their graphs
   
   Chapter 2. Limits and Continuity
2. §2.1, 2,2, 2.3. Informal and formal limits
3. §2.4, 2.5. One-sided limits and limits involving infinity
4. §2.6. Continuity
5. §2.7. Tangents and Derivatives
   
   Chapter 3. Differentiation
6. §3.1. The Derivative as a Function
7. §3.2. Differentiation Rules
8. §3.3. The Derivative as a Rate of Change
9. §3.4. Derivatives of Trigonometric Functions
10. §3.5. The Chain Rule and Parametric Equations
11. §3.6. Implicit Differentiation
12. §3.7. Related Rates
13. §3.8. Linearization and Differentials
    
    Chapter 4. Applications of Derivatives
14. §4.1. Extreme Values of Functions
15. §4.2. The Mean Value Theorem
16. §4.3. Monotonic Functions and the First Derivative Test
17. §4.4. Concavity and Curve Sketching
18. §4.5. Applied Optimization Problems
19. §4.6. Indeterminate Forms and L'Hopital's Rule
20. §4.7. Newton's Method
21. §4.8. Antidifferentiation
    
    Chapter 5. Integration
22. §5.1. Estimating with Finite Sums
23. §5.2. Sigma Notation and Limits of Finite Sums
24. §5.3. The Definite Integral
25. §5.4. The Fundamental Theorem of Calculus
26. §5.5. Indefinite Integrals and the Substitution Rule
27. §5.6. Substitution and Area Between Curves
    
    Chapter 6. Applications of Definite Integrals
28. §6.1, §6.2. Volumes by slices and shells
29. §6.3. Lengths of Plane Curves
30. §6.4. Moments and Centers of Mass
31. (skip) §6.5. Surface area and Pappus' Theorem
32. (skip) §6.6, §6.7. Work, and force from fluid pressure
    
    Chapter 7. Transcendental Functions
33. §7.1. Inverse Functions and Their Derivatives
34. §7.2, §7.3. Natural Logarithms and Exponentials
35. §7.4. Logs and exponentials to other bases
36. §7.5. Exponential Growth and Decay
37. §7.6. Relative Rates of Growth
38. §7.7. Inverse Trigonometric Functions
39. §7.8. Hyperbolic Functions

Exams:

• No crib sheets or electronic devices, including calculators, computers, cell phones, etc.
• Only use techniques already covered in class, and simplify your answers.
• Midterm: Tuesday, October 9, 5:30 - 7:00 PM (approximately 30%)
  Room B102 Van Vleck if your TA is Koyama, Magness, Rhoades or Wang
  Room B130 Van Vleck if your TA is Beros, Jameson, Kazalicki or Owen
  Early exam: 4:00 - 5:30 PM, Room 14 Ingraham (sign up, bring ID)
  Material covered: Chapter 1, § 2 - 7; Chapter 2, § 1 - 7; Chapter 3, § 1 - 7;
• Midterm: Tuesday, November 13, 5:30 - 7:00 PM, (approximately 30%)
  Room B102 Van Vleck if your TA is Koyama, Magness, Rhoades or Wang
  Room B130 Van Vleck if your TA is Beros, Jameson, Kazalicki or Owen
  Early exam: 4:00 - 5:30 PM, Room 14 Ingraham (sign up, bring ID)
  Material covered: Chapter 4, § 1 - 7; Chapter 5, § 1 - 6;
• Final: Monday, December 17, 10:05 AM - 12:05 (approximately 40%)
  Room 125 Agr Hall - main floor - if your TA is Jameson, Koyama, Magness, Rhoades or Wang
  Room 125 Agr Hall - balcony - if your TA is Beros, Kazalicki or Owen
  New material covered: Chapter 6, § 1 - 4; Chapter 7, § 1 - 8;
  Old material covered: § 3.7 (related rates); § 4.4 (curve sketching); § 5.3 (definition of integral)

Free Help Services:

• Office Hours (drop-in help) - visit your TA or professor during office hours
• GUTS (drop-in peer tutoring) - 302A Union South, check the web page for location and time
• Math Lab (drop-in help) - B227 Van Vleck, Monday thru Thursday, 3:30 - 8:30 PM
• Math Tutorial Program (small-group tutoring) - see David Camacho in 321 Van Vleck (263-6817) to find out if you qualify
• Math Board (find a study-buddy) - opposite B207 Van Vleck
• Tutor List (find a tutor) - second floor of Van Vleck (alas, only the list is free). This Tutor List is now available on line. In addition, all tutors on the list can be reached at one email address, namely tutor@math.wisc.edu

Passman's Office Hours:

• Usually available in 603 Van Vleck: M 2:25-3:15, W 1-1:50
• Email: passman@math.wisc.edu

Teaching Assistants:

• Konstantinos Beros (TA Coordinator)
  Office: 520 Van Vleck - Phone: 262-3601
  Email: kberos@math.wisc.edu
  Office hours: T 2:15-3:15, F 2-3
• Marie Jameson
  Office: 101-15 Van Vleck - Phone: 263-1350
  Email: jameson@math.wisc.edu
• Matija Kazalicki
  Office: 416 Van Vleck - Phone: 263-6258
  Email: kazalick@math.wisc.edu
  Office Hours: T 12-1, F 12-1
• Masanori Koyama
  Office: 101 Van Vleck - Phone:
  Email: koyama@math.wisc.edu
  Office Hours: T 2:30-3:30, R 2:30-3:30, F 3:30-4:30
• Beth Magness
  Office: 101 Van Vleck - Phone: 263-1350
  Email: magness@math.wisc.edu
  Office Hours: T 2:30-3:30, R 9:30-10:30, F 11-12
• Robert Owen (WES)
  Office: 616 Van Vleck - Phone: 263-2437
  Email: owen@math.wisc.edu
• Robert Rhoades
  Office: 416 Van Vleck - Phone: 263-6258
  Email: rhoades@math.wisc.edu
  Office Hours: M 10-11, W 2:10-3:10
• Li Wang
  Office: 101-16 Van Vleck - Phone: 263-1350
  Email: wangli@math.wisc.edu
  Office Hours: M 10:50-11:50, W 10:50-11:50

Home Work:

• § 1.1: # 3, 7, 27
• § 1.2: # 18, 19, 29, 48
• § 1.3: # 6, 7, 16, 25
• § 1.4: # 11, 13, 22
• § 1.5: # 2, 5
• § 1.6: # 1, 5, 13
• § 2.1: # 1, 5, 6, 29, 35
• § 2.2: # 7, 17, 19, 22, 31, 37, 49
• § 2.3: # 9, 11, 17, 23, 37, 43
• § 2.4: # 1, 5, 12, 43, 47, 50
• § 2.5: # 9, 18, 33, 37
• § 2.6: # 2, 4, 15, 27
• § 2.7: # 2, 4, 5, 8, 23
• § 3.1: # 2, 7, 13, 17, 27-30, 41-43
• § 3.2: # 6, 10, 14, 16, 18, 24, 32, 46
• § 3.3: # 7, 9, 13
• § 3.4: # 1, 5, 6, 11, 31, 32, 39
• § 3.5: # 3, 7, 14, 17, 25, 92, 94 (skip second derivatives)
• § 3.6: # 4, 5, 19, 29, 46
• § 3.7: # 12, 13, 14, 15, 17, 22, 23
• § 3.8: # 19, 21
• § 4.1: # 23, 45, 48, 54, 55, 59, 61, 62, 64
• § 4.2: # 2, 11, 24, 25, 28, 45
• § 4.3: # 3, 6, 8, 21, 23, 25
• § 4.4: # 1, 2, 5, 6, 11, 17, 24, 32
• § 4.5: # 3, 15, 20, 22, 24, 33
• § 4.6: # 1, 5, 7, 16, 17, 22, 23, 27, 31
• § 4.7: # 4, 5, 10
• § 4.8: # 3, 7, 13, 16, 21, 31, 32, 50, 62, 63, 64, 72, 73
• § 5.1: # 1, 3, 5, 7, 11, 12
• § 5.2: # 1, 5, 8, 15, 17, 19, 38
• § 5.3: # 11, 15, 19, 51
• § 5.4: # 3, 5, 7, 9, 38, 40, 42, 55, 67
• § 5.5: # 14, 16, 20, 21, 25, 26, 35, 47
• § 5.6: # 4a, 5a, 9a, 33, 35, 40, 42, 43, 47
• § 6.1: # 1, 4, 7, 10, 16, 22, 32, 35, 47 (Hint for 16. sin 2x = 2 sin x cos x)
• § 6.2: # 5, 6, 11, 25
• § 6.3: # 2, 6, 7, 16
• § 6.4: # 2, 9, 15, 22, 26, 35, 40
• § 7.1: # 9, 10, 15, 16, 31, 33
• § 7.2: # 1, 9, 13, 21, 23, 43, 45, 53, 65
• § 7.3: # 2, 9, 13, 25, 35, 47, 54, 61, 62
• § 7.4: # 42, 43, 96, 98, 99
• § 7.5: # 8, 11
• § 7.6: # 5, 7
• § 7.7: # 3, 49, 62, 74, 91, 93, 96, 99
• § 7.8: # 10, 13, 18, 25, 35, 41, 45