Any student with disabilities or other special needs are encouraged to share these concerns or requests as soon as possible.
Prerequisite: Calculus I.
Instructor: Timothy
Peil, Ph. D.
Text: Calculus, The
Classic Edition by Swokowski
Office: MacLean 344
Phone: 218-477-2454
FAX: 218-477-2984
Office Hrs:
MTWHF 10:00 -
10:50, MF 11:00 - 11:50; TWH 1:00 - 1:50.
E-mail: peil@mnstate.edu
Web homepage: http://web.mnstate.edu/peil
General Information follows
the tentative class schedule.
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Topic (Due dates for TBHI will be announced in class, not posted here.) | ||
| January 10 | 6.1 | Area p. 311 #1, 5, 11, 23, 25, 27, 31, 39 To be Handed in (TBHI) AreaVolume#1 & #2 |
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| 12 | 6.1 | Area p. 312 #3, 7, 9, 19, 29, 35, 37: |
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| 13 | 6.2, 6.3, 6.4 | Volumes: Cross
sections, revolution, and shells p. 331 #1, 3; p. 320 #1, 3; p. 326 #1, 3; p. 312 #13: |
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| 16 | No Class!! | Martin Luther King Holiday | ||
| 17 | 6.2, 6.3, 6.4 | Volumes: Cross
sections, revolution, and shells p. 331 #5, 7; p. 321 #5, 7; p. 327 #5, 7; p. 312 #21 |
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| 19 | 6.2, 6.3, 6.4 | Volumes: Cross
sections, revolution, and shells p. 321 #13, 21, 25; p. 327 #9, 19; p. 332 #9, 17; p. 301 #19 TBHI VolArcWork#3 |
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| 20 | 6.2, 6.3, 6.4 | Volumes: Cross
sections, revolution, and shells p. 370 #2, 10, 12, 14, 16 |
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| 23 | 6.5 | Arc Length and
Surfaces of Revolution p. 341 #1, 3, 7, 29, 33; p. 301 #35: |
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| 24 | 6.6 | Work p. 348 #1, 3, 7, 11; p. 341 #5, 31: |
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| 26 | 6.5, 6.6 | Arc Length and
Surfaces of Revolution; Work p. 348 #5, 9, 13, 19; p. 341 #9, 35; p. 301 #33, 41: |
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| 27 | 6.7 | Moments and Centers
of Mass p. 357 #1, 5, 11, 15; p. 348 #6 TBHI Center of Mass#5 |
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| 30 | 6.7 | Moments and Centers
of Mass p. 357 #3, 7, 9, 13; p. 370 #5, 13, 15, 17: |
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| 31 | Review | |||
| February 2 | Exam 1 | |||
| 3 | 7.1 | Inverse Functions p. 380 #1, 5, 7, 15, 17, 21, 23, 27, 29: TBHI Inverse, log, exp, #6 & 7 |
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| 6 | 7.2 | The Natural Logarithm
Function p. 390 #1 - 45 (every 4th), 47, 53: |
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| 7 | 7.3 | The Exponential
Functions p. 397 #1 - 53 (every 4th); p. 390 #3, 39: |
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| 9 | 7.2, 7.3 | Natural Logarithm
Function and Exponential Functions p. 390 #7, 15, 19, 27, 35, 43; p. 397 #3, 7, 11, 15, 19, 23, 39, 47, 59 |
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| 10 | 7.4 | Integration Using
Natural Logarithm and Exponential Function p. 406 #1 - 37 (4th), 39, 43, 47: TBHI #8, 9, 10 |
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| 13 | 7.5 | General Exponential
and Logarithmic Function p. 414 #1 - 49 (4th): |
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| 14 | 7.6 | Laws of Growth and Decay p. 421 #1 - 13 (odd): |
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| 16 | 8.1 | Inverse
Trigonometric Functions p. 432 #1 - 37 (odd): |
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| 17 | 8.2 | Derivatives and Integrals
for Inverse
Trigonometric Functions p. 438 #1 - 49 (odd): |
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| 20 | 9.1 | Integration by Parts p. 462 #1 - 49 (every 4th): |
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| 21 | 9.2 | Trigonometric
Integrals p. 467 #3, 5, 9, 11, 17, 21, 27, 33; p. 462 #3, 7, 18, 23, 36 TBHI #11 |
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| 23 | 9.1, 9.2 | Integration by
Parts; Trigonometric Integrals p. 467 #1, 7, 13, 23, 29, 31; p. 462 #11, 15, 19, 27, 47 |
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| 24 | Review | |||
| 27 | Exam 2 | |||
| 28 | 9.3 | Trigonometric
Substitutions p. 472 #1, 5, 9, 13, 17, 21, 23; p. 462 #31, 35; p. 467 #15, 17, 19 TBHI #12 |
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| March 2 | 9.4 | Integrals of
Rational Functions p. 478 #1 - 25 (4th); p. 472 #3, 7, 11, 15: |
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| 3 | 9.3, 9.4 | Trigonometric
Substitutions; Integrals of Rational Functions p. 478 #3, 7, 11, 15, 19, 37; p. 472 #19: |
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| 6 | 9.5, 9.6 | Quadratic
Expressions and Miscellaneous Substitutions p. 481 #1, 3, 5, 19; p. 485 #1, 3, 5, 11, 15, 19, 23 TBHI #13 & 14 |
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| 7 | 10.1 | Indeterminate Forms 0/0
and ¥/¥ p. 498 #1 - 53 (4th): |
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| 9 | 10.2 | Other Indeterminate Forms p. 503 #1 - 37 (4th), 43, 45: |
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| 10 | 10.1, 10.2 | Indeterminate Forms p. 498 # 3, 7, 11, 19, 27, 35, 43, 47; p. 503 #3, 7, 11, 15, 19, 23, 27, 39 |
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| 13–17 | No Class | Spring Break | ||
| 20 | 10.3 | Integrals with Infinite
Limits of Integration p. 508 #1 - 33 (4th), 51: TBHI #15 |
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| 21 | 10.4 | Integrals with
Discontinuous Integrands p. 515 #1 - 41 (4th): |
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| 23 | 10.3, 10.4 | Improper Integrals p. 508 #3 - 27 (4th), 35 p. 515 #1 - 31 (4th) |
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| 24 | Review | |||
| 27 | Exam 3 | |||
| 28 | 11.1 |
Sequences p. 531 #1 - 49 (4th): TBHI #16 & 17 |
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| 30 | 11.1 | Sequences p.531 #3 - 47 (4th): |
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| 31 | 11.2 | Convergent or
Divergent Series p. 541 #1 - 31 odd: |
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| April 3 | 11.2 | Convergent or
Divergent Series p. 542 #33 - 47 odd, 53 - 59 odd: |
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| 4 | 11.3 | Positive-Term Series p. 552 #1 - 19 odd: |
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| 6 | 11.3 | Positive-Term Series p. 552 #21 - 47 odd: TBHI #18 & 19 |
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| 7 | 11.4 | The Ratio and Root
Tests p. 557 # 1 - 17 odd: |
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| 10 | 11.4 | The Ratio and Root
Tests p. 557 #19 - 39 odd: |
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| 11 | 11.5 | Alternating Series
and Absolute Convergence p. 565 #1 - 41 (4th): |
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| 13 | 11.6 | Power Series p. 572 #1 - 29 (4th); p. 565 #3, 7 11: |
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| 14 | No Class | Non-Instructional Day which makes it a good Friday. | ||
| 17 | 11.5, 11.6 | Alternating Series and
Absolute Convergence; Power Series p. 565 #15, 19, 23; p. 572 #3 - 27 (4th); |
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| 18 | 11.7 | Power Series
Representations of Functions p. 579 #1, 3, 5, 7, 15, 17, 19, 21, 29: TBHI #20 . |
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| 20 | 11.8 | Maclaurin and Taylor
Series p. 589 #1 - 15 odd: |
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| 21 | No Class!! | I will be at the MCTM Sping Conference. | ||
| 24 | 11.8 | Maclaurin and Taylor
Series p. 589 #17 - 35 odd: |
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| 25 | 11.9 | Applications of
Taylor Series p. 595 #1, 7, 9, 11, 31: |
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| 27 | Review | |||
| 28 | Exam 4 | |||
| May 1 | 11.9 | Applications of
Taylor Series p. 595 #3, 13, 17, 21, 35: |
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| 2 | Review | Review for Comprehensive Final | ||
| 4 | No Class!! | Study Day | ||
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10 |
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Final exam. 9:00 am |
FINAL EXAM: December 10th at 9:00 am.
GENERAL INFORMATION:
Prerequisites: Calculus I. I assume
that you have received at least a C in the first semester of calculus. I
expect that you will spend at
least 2 - 4 hours for every hour in class working assigned problems and
reading the text. Get help and ask for help if you have questions
or problems. Note: my office hours; other hours may be arranged if there
is a time conflict.
Read the text and be able to work any of the exercises. You may need to work more problems than the assigned exercises, since the assigned exercises will be just a small sample of the types of problems you need to be able to work. Each day an assignment will be given to be handed in. The schedule is a basic guide—we may at times be ahead or behind the given schedule.
Exam solution keys and some homework assignment keys will be posted at my web homepage. http://web.mnstate.edu/peil .
For the assigned homework, all steps must be shown to receive credit for any corrected exercise, just writing the answer will result in no credit. You must be in class to hand in an assignment and no late assignments will be accepted!!! There may be supplementary worksheets assigned at various times during the semester.
If you have any questions or problems, come in for help. If my office hours do not match your schedule, see me about arranging another time to meet. Also, you may e-mail me questions.
When used in an appropriate manner, calculators and computers are excellent tools. I want to emphasize the idea of tool, please use the appropriate tool for the appropriate task. For example: simple computations such as single digit arithmetic and estimations should be done mentally, use a calculator for several digit arithmetic, and use a computer in situations involving repetitive operations such as multiplying several values by the same number. The key analogy is you would not use a pile driver or a sledge hammer to put a thumb tack into a bulletin board. Or,
I will use a teaspoon to till a flower pot,
a spade to till a flower bed,
a tiller to till a garden,
and a tractor and plow to till a field.
I will not drive a tractor and plow into my house to
till a flower pot.
Timothy Peil (1995)
Audio
Version
You may use a graphing calculator, but be prepared to justify all steps and provide exact solutions.
Recommendation: Math 260, Computer Calculus, is required for mathematics majors. It is a one credit course that meets on Wednesdays and is written to be a companion course with Calculus I, but may be taken with Calculus II or above..
No makeup exams will be given!!!—except in cases of extreme illness, family emergency, or university-approved activity, in which case exceptions will be made on a case-by-case basis. For me to even consider an exception, you must notify me (not the department secretary) before the exam takes place, and provide documentation (such as a receipt from the doctor) before taking the makeup exam.
There will be four in-class hour exams and a comprehensive final.
Your grade will be determined from the total points earned from the four in-class hour exams, quizzes, homework, projects, labs, and the final exam. Grades will be assigned using lower bounds of 93 A; 90 A-; 87 B+; 83 B; 80 B-; 77 C+; 73 C; 70 C-; 67 D+; 63 D; 60 D-; and below 60% F.
The following are required to be on the syllabus by MnSCU.
Where and when is class. MTHF 9:00 - 9:50 in Bridges 262.
Course Description
from the Minnesota State University Moorhead Bulletin.
Math 262 [E1] Calculus II (4)
Calculus of one variable-transcendental functions, applications of integrals,
techniques of integration, infinite series. Computer labs. Prerequisite: Math
261.
E1 – Mathematics Student Learning Outcomes
http://web.mnstate.edu/math/MathStudentLearningOutcomes.htm
Attendance
Policy. http://web.mnstate.edu/sthandbook/POLICY/index.htm
http://web.mnstate.edu/math/MSUMAbsencePolicy.htm
http://web.mnstate.edu/bring/AcademicDishonesty.htm
Academic
Honesty.
http://web.mnstate.edu/sthandbook/POLICY/index.htm
http://web.mnstate.edu/math/MSUMAcademicHonestyPolicy.htm
http://web.mnstate.edu/bring/AcademicDishonesty.htm