Math 262 - SYLLABUS and TENTATIVE SCHEDULE - Spring 2006

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.
Date
 
Section
  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  Review Calculus 1 .
12   6.1    Area
p. 312 #3, 7, 9, 19, 29, 35, 37:
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:
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
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
20    6.2, 6.3, 6.4   Volumes: Cross sections, revolution, and shells
p. 370 #2, 10, 12, 14, 16
23    6.5   Arc Length and Surfaces of Revolution
p. 341 #1, 3, 7, 29, 33;  p. 301 #35:
24    6.6   Work
p. 348 #1, 3, 7, 11; p. 341 #5, 31:
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: 
27    6.7   Moments and Centers of Mass
p. 357 #1, 5, 11, 15; p. 348 #6   TBHI Center of Mass#5
30    6.7   Moments and Centers of Mass
p. 357 #3, 7, 9, 13; p. 370 #5, 13, 15, 17:
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
6    7.2   The Natural Logarithm Function
p. 390 #1 - 45 (every 4th), 47, 53: 
7    7.3   The Exponential Functions
p. 397 #1 - 53 (every 4th); p. 390 #3, 39: 
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
10    7.4   Integration Using Natural Logarithm and Exponential Function
p. 406 #1 - 37 (4th), 39, 43, 47:    TBHI #8, 9, 10
13    7.5   General Exponential and Logarithmic Function
p. 414 #1 - 49 (4th): 
14   7.6   Laws of Growth and Decay
p. 421 #1 - 13 (odd): 
16    8.1   Inverse Trigonometric Functions
p. 432 #1 - 37 (odd): 
17   8.2   Derivatives and Integrals for Inverse Trigonometric Functions
p. 438 #1 - 49 (odd): 
20   9.1   Integration by Parts
p. 462 #1 - 49 (every 4th): 
21    9.2   Trigonometric Integrals
p. 467 #3, 5, 9, 11, 17, 21, 27, 33; p. 462 #3, 7, 18, 23, 36  TBHI #11
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
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
March 2   9.4   Integrals of Rational Functions
p. 478 #1 - 25 (4th); p. 472 #3, 7, 11, 15: 
3    9.3, 9.4   Trigonometric Substitutions; Integrals of Rational Functions
p. 478 #3, 7, 11, 15, 19, 37; p. 472 #19:
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
7   10.1   Indeterminate Forms 0/0 and ¥/¥
p. 498 #1 - 53 (4th): 
9   10.2   Other Indeterminate Forms
p. 503 #1 - 37 (4th), 43, 45: 
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
13–17   No Class   Spring Break
20   10.3   Integrals with Infinite Limits of Integration
p. 508 #1 - 33 (4th), 51:    TBHI #15
21   10.4   Integrals with Discontinuous Integrands
p. 515 #1 - 41 (4th): 
23   10.3, 10.4   Improper Integrals
p. 508 #3 - 27 (4th), 35 p. 515 #1 - 31 (4th)
24    Review    
27    Exam 3     
28   11.1    Sequences
p. 531 #1 - 49 (4th):   TBHI #16 & 17
30    11.1    Sequences
p.531 #3 - 47 (4th): 
31    11.2   Convergent or Divergent Series
p. 541 #1 - 31 odd: 
April 3    11.2   Convergent or Divergent Series
p. 542 #33 - 47 odd, 53 - 59 odd: 
4    11.3   Positive-Term Series
p. 552 #1 - 19 odd: 
6    11.3   Positive-Term Series
p. 552 #21 - 47 odd:    TBHI #18 & 19
7    11.4   The Ratio and Root Tests
p. 557 # 1 - 17 odd: 
10    11.4   The Ratio and Root Tests
p. 557 #19 - 39 odd: 
11    11.5   Alternating Series and Absolute Convergence
p. 565 #1 - 41 (4th): 
13    11.6   Power Series
p. 572 #1 - 29 (4th); p. 565 #3, 7 11: 
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);
18   11.7   Power Series Representations of Functions
p. 579 #1, 3, 5, 7, 15, 17, 19, 21, 29:   TBHI #20 .
20    11.8   Maclaurin and Taylor Series
p. 589 #1 - 15 odd: 
21   No Class!!   I will be at the MCTM Sping Conference.
24    11.8   Maclaurin and Taylor Series
p. 589 #17 - 35 odd: 
25    11.9   Applications of Taylor Series
p. 595 #1, 7, 9, 11, 31: 
27    Review    
28    Exam 4    
May 1    11.9   Applications of Taylor Series
p. 595 #3, 13, 17, 21, 35: 
2   Review    Review for Comprehensive Final 
4   No Class!!   Study Day

10

 

 

  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 guidewe 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

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