Math 152
Calculus II
Instructor: Chuck Stevens
Office Hours: 11:30 Daily
Fall 2015
Office: L-201V
Phone: 416-7803
Room L-228
Line#: 1712
email: [email protected]
Website: svcmath.site44.com
Course Description
Calculus II is the second course in the calculus sequence. Topics covered include indefinite and definite integrals, areas, volumes,
techniques of integration, and applications. Prerequisite is a C or better in Math 151, or appropriate placement score.
Text: Calculus Early Transcendentals 5th ed., Stewart ISBN 0-534-39321-7
Calculator: A graphing calculator is highly recommended for this class, but not required. The math department recommends the
TI-84. The math department also rents calculators for $20 per quarter. See Beth Oshiro in Angst Hall, room A-222 for renting a
calculator.
A simple scientific calculator is required and will be the only calculator allowed on most quizzes. Don’t spend more than $20.
Course Content
Math 152 covers content from selected sections from chapters 5, 6, 7, 8, and 9. After completing the course you will be able to:
1.
Compute definite and indefinite integrals
2.
Find areas bounded by two curves
3.
Find volumes involving cross sections and volumes of revolutions
4.
Calculate moments, centers of mass, and centroids
5.
Integrate trigonometric, exponential, logarithmic, and rational expressions
6.
Use various techniques of integration including partial fractions, substitution, by parts, and tables
7.
Use numeric integration, including the Trapezoidal Rule and Simpsons Rule
8.
Solve applied problems involving work and force
9.
Solve separable differential equations
10.
Solve first order linear differential equations.
Coursework
Homework is expected to be done daily, but is generally not collected or graded. Homework is the most important part of any
math course. This is the course component where you actually learn the content. Everything else is simply an assessment on
what you’ve learned. Doing homework regularly and even twice a day will pay off come test time. Remember the 5 P’s: Prior
Preparation Prevents Poor Performance.
Attendance Although regular classroom attendance will not figure into your grade in a tangible way, I strongly encourage your
regular attendance in this class. It should be obvious that attending all classes is extremely beneficial to your level of learning and
understanding. Seeing the material presented in class is extremely helpful as the presentation will often be different than the text in
order to clarify and enhance the text. Having questions answered in class (as well as hearing other students’ questions) is also a
benefit. If a class is missed, it is your responsibility to obtain notes, assignments, worksheets, etc., or any other information given
in class.
Weekly Quizzes There are nine weekly quizzes each worth 30 points. Quizzes are given each Friday and usually cover two to
three sections. The lowest two quiz scores are dropped from your overall grade. Quizzes cannot be made up. A missed quiz will
be one of the two that will be dropped.
Anyone found cheating on a quiz will receive a 0 for that quiz; found a second time will result in failing the course.
Final Exam The Final Exam is comprehensive and worth 60 points, or 25% of the final grade.
The final is scheduled for Wednesday December 9.
Final Exam There is a comprehensive final exam covering material from the entire course as well material from chapter 9. Please
refer to the daily calendar for the scheduled date of the Final Exam. The final accounts for 25% of your overall grade. You must
receive at least a 60% on the final to pass the course.
2
Math 152 Syllabus Fall 2015.nb
Grading scale:
A
83%-100%
A80%-82%
B+
B
B-
77%-79%
73%-78%
70%-72%
C+
C
C-
67%-69%
63%-66%
60%-62%
D
F
55%-59%
<55%
Other Information
My SVCMATH website (http://svcmath.site44.com/) contains a page specifically for math 152. On there you will find links to the
syllabus, schedule, daily notes, links to interactive figures, links to pertinent videos, etc. I’ll also post handouts given in class
including worksheets, note cards, etc. If you happen to miss a day (aaaack!) be sure to check the website for important class
information.
Note: You can check your current grade on my svcmath website by entering the code m152#### where #### are the last four
digits of your student number, and then click Check Grade or press enter. Email me if you would rather have a different code.
Tentative Daily Schedule
Monday
Tuesday
Wednesday
Thursday
Friday
9/21
Intro
9/22
5.1
9/23
5.2
9/24
9/25
5.3
9/28
5.4
9/29
5.5
9/30
5.5
10/1
10/2
Quiz 1
10/5
6.1
10/6
6.2a
10/7
6.2b
10/8
10/9
Quiz 2
10/12
6.3
10/13
6.4
10/14
6.4
10/15
10/16
Quiz 3
10/19
6.5
10/20
7.1
10/21
7.2
10/22
10/23
Quiz 4
10/26
7.3
10/27
7.4
10/28
7.6
10/29
10/30
Quiz 5
11/2
7.7
11/3
7.7
11/4
G-K
11/5
11/6
Quiz 6
11/9
7.8
11/10
8.1
11/11
Veteran’s Day
11/12
11/13
Quiz 7
11/16
8.2
11/17
8.3
11/18
8.3
11/19
11/20
Quiz 8
11/23
9.1
11/24
9.2
11/25
9.3
11/26
11/27
Thanksgiving Break
11/30
9.6
12/1
12/2
Quiz 9
12/3
Review
12/4
Review
12/7
Final (10:30)
12/8
Final (8:30, 11:30)
12/9
Final (9:30, 12:30)
12/10
12/11
Important Dates
◼ Last day to drop a course without a “W”: October 2nd
◼ Last day to withdraw from any class: December 4th
Math 152 Syllabus Fall 2015.nb
3
Recommended Homework
It is recommended you do as many of the problems in each section as possible, as well as the following:
5.1
5.2
5.3
5.4
5.5
The Distance and Area Problems
Riemann Sums and the Definite Integral
Fundamental Theorem of Calculus
Indefinite Integrals
The Substitution Rule
Page 378
Page 390
Page 402
Page 411
Page 420
1, 3, 9, 11, 17, 21, 25
1, 3, 7, 9, 15, 19, 21, 23, 27, 35, 37, 44, 59
3, 7 - 41 odd, 49, 51, 53, 56
1 - 37 odd, 43, 45, 47, 55
1 - 69 every other odd, 73, 79 (All odds if you have time)
6.1
6.2a
6.2b
6.3
6.4
6.5
Area Between Two Curves
Volumes by Cross-Sections
Volumes of Revolution
Volumes by Cylindrical Shells
Work
Average Value of a Function
Page 442
Page 452
Page 452
Page 458
Page 463
Page 467
1 - 49 odd
47, 49, 55, 57, 58, 64, 66 (see 49)
1 - 37 every other odd, 39, 43
1 - 25 odd, 37, 41
1 - 29 odd
1 - 19 odd
7.1
7.2
7.3
7.4
7.5
7.6
7.7
7.8
Integration by Parts
Trigonometric Integrals
Trigonometric Substitution
Partial Fractions
Integration Strategies
Integration Tables and CAS
Numerical Integration
Improper Integrals
Page 480
Page 488
Page 494
Page 504
Page 510
Page 515
Page 527
Page 537
1 - 35, 39, 53, 55, 57, 63
1 - 45 every other odd, 55, 61
1 - 29 odd
7 - 35 odd, 39, 41, 49
Odds
5 - 29 every other odd
7 - 19 odd, 21, 22, 32
1 - 37 every other odd
8.1
8.2
8.3a
8.3b
Arc Length
Area of a Surface of Revolution
Hydrostatic Pressure and Force
Centroids
Page 552
Page 559
Page 569
Page 569
5 - 15 odd, 27, 33
1 - 15 odd, 17
1 - 17 odd
19 - 31 odd, 32, 41
9.1
9.2
9.3
9.6
Modeling with Differential Equations
Direction Fields, Euler’s Method
Separable Equations
Linear Equations
Page 591
Page 599
Page 607
Page 636
1 - 9 odd
1, 3 - 6, 9, 11, 19, 23, 25
1 - 17 odd, 39
1 - 19 odd, 25
Other Information
◼ Arrive to class on time. Arriving consistently late is an inconsiderate disruption to the entire class.
◼ Turn off AND put away all cell phones. You should be able to concentrate for 50 minutes without glancing at text messages.
◼ Please do not eat meals in class. Drinks are okay.
◼ Be considerate to others during class.
◼ Take advantage of tutoring help in L-203, as well as the Math Center in L-221.
◼ Don't get behind!!!! Come see me immediately if you are struggling with material. Don't wait until the day before a test to tell
me you're lost.
◼ Keep up on your homework DAILY. Math is exactly like music, sports, cooking, learning a foreign language, etc.; to be good
you need to practice, practice, practice.
◼ Read the text. Actually, read the text a few times. And work the examples with paper and pencil. Most concepts you may have
questions on from the homework probably have examples in the text to help explain the concept. And, read the text!!
◼ Take good in-class notes and review those notes immediately after class as well as that evening. Fine-tune them when
necessary.
◼ Be sure to use my office hours if you have questions, and email me if you get stuck at home.
◼ If you are a student with a disability and need academic accommodations, please contact Disability Access Services in the
Counseling and Career Services center or call 360-416-7654.