MA
111.01 CALCULUS 1
SPRING 2012 HOME PAGE |
- Course Info Sheet
- Class
Meetings in Harder 201:
- Tuesday & Thursday 11:10-12:30 and
- Friday 11:15-12:10
- Final Exam in Harder 201:
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- Instructor: Alice Dean, Professor,
Mathematics & Computer Science
- Phone: 580-5286
- Email
- My home page
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Course textbook:
Single Variable Calculus
with Early Transcendentals, 7th Ed.,
James Stewart
Brooks/Cole, 2012 |
| DATE |
TOPICS |
CLASS
SLIDES, HOMEWORK,
& OTHER FILES |
READING
& EXERCISES |
THURSDAY,
5/3/12 |
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- REMAINING EXAM WEEK OFFICE HOURS:
- Friday: 11:30-12:30;
- Monday: 10:30-12:00
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MONDAY,
5/1/12 |
- Collect clickers!
- Information about Final Exam
- Course evaluations
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- No new reading or exercises
- HW #4 is due at 5 PM
- EXAM WEEK OFFICE HOURS:
Tuesday 1:30-2:30; Wednesday, 10:15-11:15;
Thursday 2-3;
Friday: 11:30-12:30;
Monday 10:30-12:00
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FRIDAY,
4/27/12 |
- The Substitution Rule (also called “u-substitution”)
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- Reading: 5.5.
- 5.5
p. 413: 1-16
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THURSDAY,
4/26/12 |
- More on the Fundamental Theorem of Calculus: Applications to area and net change
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- Reading: 5.4;
- 5.3, p. 403: 21-31 odd, 51, 53, 59-60
- 6.1, p. 427: 5-7
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TUESDAY
4/24/12 |
- Fundamental Theorem of Calculus
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- Reading: 5.3
- 5.3, p. 394: 2a, 7, 9, 11, 19-31 odd, 67a
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FRIDAY
4/20/12 |
- More on Definite Integrals
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- Reading: 5.2
- 5.2, p. 382: 1, 2, 7, 17, 18, 33, 52c-52e, 53
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THURSDAY
4/19/12 |
- The Area Problem and Definite Integrals
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TUESDAY
4/17/12 |
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FRIDAY
4/13/12 |
- Exam #2 next Tuesday, 4/17/12
- More on Antiderivatives
- Office Hour Monday 11:00-12:30
- Review session from 11:15-12:10 in Harder 201
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- Reading: Still 4.9
- 4.9, p. 348: 59-61, 65,66
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THURSDAY
4/12/12 |
- Exam #2 next Tuesday, 4/17/12
- More on Optimization and Modeling
- Antiderivatives
- Office Hour Monday 11:00-12:30
- Review session from 11:15-12:10 in Harder 201
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- Reading: 4.9 (omit 4.8)
- 4.9, p. 348: 1-21 odd, 49
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TUESDAY
4/10/12 |
- Announce Exam #2 next Tuesday, 4/17/12
- Optimization and Modeling
- Extra office hour/problem session:
Monday 11:00-12:30
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- Reading: 4.7
- 4.7, p. 331: 1, 7, 8, 11, 12, 19, 23, 32, 37
- Note: Due to limited class time, we will not cover Section 4.5 in class, nor the slides from Friday, 4/6/12. I recommend that you read both Section 4.5 and the slides, since they summarize curve-sketching.
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FRIDAY
4/10/12 |
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- Reading: 4.5
- 4.5, p. 317: 1, 9, 23, 42, 52
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THURSDAY
4/5/12 |
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- Reading: 4.3
- 4.3, p. 297: Use the “number lines” method to sketch graphs of the functions of #12, 18. Also do #25, 29, 30
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TUESDAY
4/3/12 |
- Tests for critical points: The First Derivative Test and Second Derivative Test
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- Reading: 4.3
- 4.3, p. 297: Do #’s 9-21 using the First Derivative Test.
- 4.3, p. 297: Do #’s 9-21 using the Second Derivative Test when it applies.
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FRIDAY
3/30/12 |
- Tests for critical points: The Function Vaue Test
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- Reading: 4.3 (we won't cover 4.2)
- 4.3, p. 297: Do #’s 9-21 using the Function Value Test.
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THURSDAY
3/29/12 |
- Absolute and Local Extremes, Critical Numbers
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- Reading: 4.1
- 4.1, p. 280: 3-6, 31, 34, 41, 47, 52, 60
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TUESDAY
3/27/12 |
- Collect, go over Lab #3
- Questions on exercises, HW #2 (due tomorrow)
- Exponential Growth and Decay
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- Reading: 3.8
- 3.8, p. 242: 1, 3, 5, 9
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FRIDAY
3/23/12 |
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- Reading: 3.9
- 3.9, p. 248: 1-3, 11, 18, 24, 35, 46
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THURSDAY
3/22/12 |
- Rates of Change in the Natural Sciences (and elsewhere)
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- Reading: 3.7
- 3.7, p. 233: 5, 6, 9, 18, 19, 32, 33
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TUESDAY
3/20/12 |
- Derivatives of Logarithmic Functions
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- Reading:
3.6 (“logarithmic differentiation” on p. 220 is optional)
- 3.6, p. 223: 5 (do using rules, and also by simplifying), 7,9, 17, 21, 24, 37, 38
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FRIDAY
3/9/12 |
- Derivatives of Inverse Functions
- Derivatives of Inverse Trig Functions
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- Reading: Still 3.5
- No new exercises
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THURSDAY
3/8/12 |
- Reminder: Exam 1 corrections are due at 5 PM today.
- Implicit differentiation
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- Reading: 3.5
- Exercises:
- 3.5, p. 215: 1-19 odd, 25, 29, 37, and 39
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TUESDAY
3/6/12 |
- Return, discuss Exam #1
- The Chain Rule
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- Reading: 3.4
- Exercises:
- 3.4, p. 205: 7-31 odd, 47, 51, 54, 59, 77
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FRIDAY
3/2/12 |
- Derivatives of Trigonometric Functions
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- Reading: 3.3
- Exercises:
- 3.3, p. 197: 1-15 odd, 21-22, 33-35
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THURSDAY
3/1/12 |
- The Second Derivative; acceleration and concavity
- The Product and Quotient Rules
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- Reading:
3.1-3.2
- Exercises:
- 3.1, p. 181: 43-44, 45-46 (45-46 need graphing software), 47
- 3.2, p. 189: 3-29 odd, 43-45, 49-50, 59, 61 (omit proof in #61)
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TUESDAY
2/28/12 |
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- No new reading or exercises
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FRIDAY
2/24/12 |
- Optional Review Class for Exam #1 on Tuesday, 2/28/12
- Extra Office Hour Monday, 1:30-3 PM
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- No new reading or exercises
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THURSDAY
2/23/12 |
- Derivatives of exponential functions
- Derivatives of sums and constant multiples of functions
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- Reading:
3.1
- Exercises:
- 3.1, p. 181: 5-16, 34, 51-53, 67, 68
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TUESDAY
2/21/12 |
- Announce Exam #1 next Tuesday, 2/28/12
- The Derivative as a Function
- The Power Rule
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- Reading:
2.8, 3.1
- Exercises:
- 2.8, p. 162: 1, 3, 5, 9, 14, 16, 21, 25, 26, 35
- 3.1, p. 181: 3, 4, 33, 54, 59, 61, 70,75
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FRIDAY
2/17/12 |
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- Reading:
2.7-2.8
- No new exercises today
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THURSDAY
2/16/12 |
- Return, go over HW #1
- The Derivative of a Function
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- Reading:
2.7
- Exercises:
- 2.7, p. 150: 3, 7, 13, 17, 19, 25-35 odd, 45
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TUESDAY
2/14/12 |
- A little backtracking: More about functions from Chap. 1
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- Reading:
1.3 (focus on material from these slides)
- Exercises:
- 1.3, p. 42: 1e-h, 3c-e, 29, 31-35 odd, and 41
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FRIDAY
2/10/12 |
- Horizontal and Vertical Asymptotes
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- Reading:
2.6
- Exercises:
- 2.6 , p.140 : 1, 9, 15, 19, 28, 31, 35, 39 and 43
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THURSDAY
2/9/12 |
- One-sided and infinite limits
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- Reading:
2.2, begin reading 2.6
- Exercises:
- 2.2, p. 96: 1-6
- 2.6, p.140: 3a-d, 5-6, 11, 12 (try using Mathematica for 11 and 12)
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TUESDAY
2/7/12 |
- Summary of Lab from Friday
- Introduction to Limits
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- Reading:
1.3, 2.1-2.2
- Exercises:
- 1.3, p.42: 1, 4a-b, 29
- Chap. 2 review, p. 167: 3, 5, 7
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FRIDAY
2/3/12 |
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- Reading:
1.3
- No new exercises today
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THURSDAY
2/2/12 |
- Exponential and logarithmic functions
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- Reading:
1.5-1.6
- Exercises:
- 1.5, p. 57: 1-2, 19, 21, 25
- 1.6, p. 69: 1, 3-13 odd, 21-25 odd, 45 (use a calculator), 51, 53, 61
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TUESDAY
1/31/12 |
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- Reading:
Appendix D
- Exercises:
- Appendix D: 1-3, 7-9, 23, 29, 65, 67
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FRIDAY
1/27/12 |
- Important classes of functions for calculus
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- Reading:
1.2
- Exercises:
- Sec 1.2:
1, 5, 10, 13, 15, 19, 21ab
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THURSDAY
1/26/12 |
- Definition of a function
- Ways to describe and represent functions
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- Reading:
1.1
- Exercises:
- Sec 1.1: 1-3, 5, 7-8, 13-14, 23-25, 27-28, 37-38, 41-45, 47, 51, 55,57
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TUESDAY
1/24/12 |
- Intro to course and calculus
- Go over course info sheet
- Basic definitions and notation
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- Get the textbook!
- Reading:
- “To the Student (page xxiii)” and
- “A Preview of Calculus (pages 2-9)
- You MUST bring your clicker to EVERY class!
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