Math 121 - Calculus II

Spring 2008

Sections 1 & 2 Sections 3 & 4
Instructor H. Servatius L. Rudolph
Office BP332 Monday, 1:30-4:00 PM
web http://math.clarku.edu/~hservatius/ http://black.clarku.edu/~lrudolph/
Email hservatius lrudolph
Office Hours T-Th 12-12:30

Solutions for Exam 2:

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Solutions for Exam 3:

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Final:


Date Course Title Building Room Start/End
05/01/08 Calculus II - Sect. 3 & 4 Sackler Science Center S120/J217 06:30 PM / 08:30 PM
05/05/08 Calculus II - Sect. 3 & 4 Sackler Science Center S120/J217 10:30 AM / 12:30 PM

Tutoring

Sun-Thurs evening, 8-10PM, BP312

Syllabus

Text

Calculus, by Salas, Hille, Etgen.

Current edition is the 10'th edition, although the 9th edition may also be used.

Course Description

This is the second course in a two-semester univariate calculus sequence designed for the math major and for the student majoring in a field that requires the tools of calculus. Besides the computational aspects of calculus, we will develop the concepts of calculus with some rigor. Topics covered include integration, applications of the integral, the transcendental functions, and techniques of integration. An appropriate score on the math placement exam or successful completion of Math 120 is a prerequisite for this course.

Grading

   20%, Exam 1     - February 21
   20%, Exam 2     - March 27 
   20%, Exam 3     - April 24
   40%, Final Exam - Date TBA

Exams

Exams will be given in a three-hour block in the evening on the above dates. The exams will be common for all students taking Math 121 and will be based on material discussed in the lecture or presented in the text prior to the date of the exam. Exams will be closed book, closed notebook. The use of calculators will not be allowed. In the event that a student has a legitimate, documented excuse for missing an exam, the student must contact me prior to the scheduled exam time. A makeup may be rescheduled at the instructor's convenience.

Final Exam

The final will be a two-hour, comprehensive exam, given during the final exam period. All students will be required to take the final exam at that time. Therefore do not make plans to leave campus before the exam.

Homework and Quizzes

Practice problems will be assigned daily from the text to help you master the concepts discussed in class. Although the problems will not be collected regularly, it is expected that you will keep up to date on the problems. Math is not a spectator sport. You learn by doing; therefore, it is only to your advantage to keep abreast of the current work. Don't wait until the night before the exam to begin doing the problems. Periodically I will assign a few specific problems to be collected and graded. Homework is due in class on the assigned day. No late assignments will be accepted. Short 15-20 minute quizzes will be given periodically throughout the semester. No makeups for quizzes will be given for any reason. In computing the final Homework/Quiz average, the lowest homework or quiz grade will be dropped.

General Course Outline

Chapter 5 Integration
5.1 - The Definite Integral of a Continuous Function
5.2 - The Function F(x)
5.3 - The Fundamental Theorem of Integral Calculus
5.4 - Some Area Problems
5.5 - Indefinite Integrals
5.6 - The u-Substitution; Change of Variables
5.7 - Additional Properties of the Definite Integral
5.8 - Mean-Value Theorems for Integrals; Average Values thru distance traveled
Chapter 6 Applications of the Integral
6.1 - More On Area
6.2 - Volume By Parallel Cross Sections; Discs and Washers
6.3 - Volume By the Shell Method
6.4 = Center of Mass
Chapter 7 The Transcendental Functions
7.1 - One-to-One Functions; Inverses
7.2 - The Logarithm Function, Part I
7.3 - The Logarithm Function, Part II
7.4 - The Exponential Function
7.5 - Arbitrary Powers; Other Bases
7.6 - Exponential Growth and Decay
7.7 - The Inverse Trigonometric Functions
Chapter 8 Techniques of Integration
8.1 - Integral Tables and Review (Quick Reference)
8.2 - Integration By Parts
8.3 - Powers and Products of Trigonometric Functions
8.4 - Trigonometric Substitutions
8.5 - Partial Fractions (only through page 473)

Practice Problems (9th edition)

Sec. 5.2 - p.245  #1,3,7,9,11,19,21,25-30
Sec. 5.3 - p.252  #1-13 odd, 17, 19
Sec. 5.4 - p.258  #1-25 odd, 26,29,39,45,55
           p.252  #23
Sec. 5.5 - p.264  #1,3,7,9,11,13,15,19,21,25,27,35
Sec. 5.6 - p.272  #1-11 odd, 19,23,25,29,35,37,39
Sec. 5.7 - p.279  #1,3,7,9,13,15,17,21,23,25,31,33,37,41,44,45,47,49,51,59,67
Sec. 5.8 - p.284  #1-5,7-10,16,17,19,21,23
           p.253  #25,27
Sec. 5.9 - p.289  #1,3,5,9,11,13

Sec. 6.1 - p.295  #1-11 odd, 17,23, (33), (35), (37), (45)
Sec. 6.2 - p.304  #1,3,5,9,17,19,21,23, (29), (33), (37)
Sec. 6.3 - p.311  #1-9 odd, 13,15,17,19,21, (25-30), (37), (44), (45)
Sec. 6.4 - p.317  #7, 9, (11), 15, 25, (26), (27), (31)
Sec. 6.5 - p.325  #1, 6, (11), 13, 17, 20, 25, (28)

Sec. 7.1 - p.340  #1,7,23,25,28-31,35,39,(49),(50),(52)
Sec. 7.2 - p.346  #(11),13,17,19,21,(23)
Sec. 7.3 - p.354  #1-29 odd, 37-41 odd, 49,51,(75),(76)
Sec. 7.4 - p.362  #1-51 odd,(57),(71)
Sec. 7.5 - p.369  #1-8, 19,21,23,29,31,33,35,43-51 odd, 59, 61
Sec. 7.6 - p.376  #1,3,7,16,17,22,(26),(36)
Sec. 7.7 - p.380  #1-11 odd,15-25 odd, 39,41,43,45, 49-61 odd,(71),(73)

Sec. 8.1 - p.449  #1-5, 9-13,15,17,19, 21-24,27,31,35,37, (51) 
Sec. 8.2 - p.457  #1-11 odd, 19,23,25,29,39, (43), (76)
Sec. 8.3 - p.467  #1,3,4,5-11 odd, 17,31, 37,41,43, (53)
Sec. 8.4 - p.472  #2-6,8,10,11,15,22,23, (44), (54)
Sec. 8.5 - p.481  #1,3,5,9,11,12,14,15,21,31, (39), (40)

Practice Problems (10th edition)

Sec. 5.2 - p.273  #1,3,7,9,11,19,21,27-32
Sec. 5.3 - p.282  #1-17 odd
Sec. 5.4 - p.290  #1-25 odd, 26,29,39,45,55
           p.283  #21
Sec. 5.5 - p.297  #1,3,7,9,11,13,15,19,21,25,27,35
Sec. 5.6 - p.304  #1-11 odd, 19,23,25,29,35,37,39
Sec. 5.7 - p.313  #1,3,7,9,13,15,17,21,23,25,31,33,35,39,42,43,45,47,49,55,59
Sec. 5.8 - p.318  #1-5,7-10,16,17,19,21,23
           p.283  #23,25
Sec. 5.9 - p.323  #1,3,5,9,11,13

Sec. 6.1 - p.295  #1-11 odd, 17,23, (33), (35), (37), (45)
Sec. 6.2 - p.304  #1,3,5,9,17,19,21,23, (29), (33), (37)
Sec. 6.3 - p.311  #1-9 odd, 13,15,17,19,21, (25-30), (37), (44), (45)
Sec. 6.4 - p.317  #7, 9, (11), 15, 25, (26), (27), (31)
Sec. 6.5 - p.325  #1, 6, (11), 13, 17, 20, 25, (28)

Sec. 7.1 - p.340  #1,7,23,25,28-31,35,39,(49),(50),(52)
Sec. 7.2 - p.346  #(11),13,17,19,21,(23)
Sec. 7.3 - p.354  #1-29 odd, 37-41 odd, 49,51,(75),(76)
Sec. 7.4 - p.362  #1-51 odd,(57),(71)
Sec. 7.5 - p.369  #1-8, 19,21,23,29,31,33,35,43-51 odd, 59, 61
Sec. 7.6 - p.376  #1,3,7,16,17,22,(26),(36)
Sec. 7.7 - p.380  #1-11 odd,15-25 odd, 39,41,43,45, 49-61 odd,(71),(73)

Sec. 8.1 - p.449  #1-5, 9-13,15,17,19, 21-24,27,31,35,37, (51) 
Sec. 8.2 - p.457  #1-11 odd, 19,23,25,29,39, (43), (76)
Sec. 8.3 - p.467  #1,3,4,5-11 odd, 17,31, 37,41,43, (53)
Sec. 8.4 - p.472  #2-6,8,10,11,15,22,23, (44), (54)
Sec. 8.5 - p.481  #1,3,5,9,11,12,14,15,21,31, (39), (40)

Note - problems in parenthesis are optional. Students considering a mathematics major or minor, are especially encouraged to consider them.

Old Exams


Test 1 - Spring 2004
Test 2 - Spring 2004
Test 3 - Spring 2004
Final Exam - Spring 2004
Test 1 - Spring 2005
Test 2 - Spring 2005
Test 3 - Spring 2005
Final Exam - Spring 2005
Test 1 - Spring 2006
Test 2 - Spring 2006
Test 3 - Spring 2006 Solutions
Final Exam - Spring 2006

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