MAT132 CALCULUS II SPRING 2011

# MAT 132 - Calculus II

## Stony Brook University - Spring 2011

 General Information Syllabus and Homework Exams Staff, schedules, office hours

# Schedule and homework

### Lectures and Recitations Schedule

• Please try to read the assigned textbook section(s) before coming to class.
• Do at least these.
• Hand in the bold-face problems at the first recitation meeting of the following week.
• Problems in Stewart usually come in similar pairs, one odd, one even. The answers for the odd problems are in the back of the book. Sometimes these are useful as hints for the solution of the corresponding even-numbered problem.
• Each problem of the written homework assignment worths 10 points.
• Read these guidelines for submitting homework.
• The deadline for WebAssign homework is Tuesday 10AM
• Lecture 1 slides are here

This schedule will be modified if the progress of the class requires it.  Schedule updated on April 1st.

Week
Starting
Sections,
(From Calculus, Concepts and Contexts,
Stony Brook Edition 4th Edition.)
# Homework
(due the week after)
1-31 5.1-5.5 Basic integration review
5.6 Integration by parts
Check out the Calculus Cyber - Goodies
1 5.2: 2,8,20, 22, 34
5.3: 4,14,20, 44,48,50
5.4: 2,7,10,15,18, 22
5.5: 48
WebAssign homework in Blackboard (here are instructions for WebAssign homework)
2-7 5.7 Trignometric integrals and trigonometric substitution
More resources (explantions, problems, etc)

2 5.6: 2,6,8,9,12,17,21,22, 30,36
5.7: 1,2,4,5,9,12, 18
WebAssign homework in Blackboard
2-14 5.7 Partial fractions More resources
5.10 Improper integrals (Check this demonstration).
3 5.7: 20,21,24,32
5.10: 6, 8, 9, 13, 16, 19,26, 29, 33, 36, 43,44;
WebAssign homework in Blackboard
2-21 6.1 Areas between curves
6.2 Volumes, Check the this demos about volumes of solids by sections and this for solids of revolution.
4 6.1: 2, 6,8, 15,16, 18,24 , 28
6.2: 2, 4, 7, 10, 16 ,20, 32, 33, 34, 36
WebAssign homework in Blackboard
2-28 Review for  Midterm
A sample midterm can be found here.
Answers to the sample midterm are here
Midterm I Wed. 3-02, 8:30pm in JAVITZ 100.
(Midterm I covers materials in Sections  5.1 through 6.2, including 6.2)  Midterm I statistics are here.
6.3 Volumes by cylindrical shells
5 6.3: 4, 5,7, 8, 10,16, 22, 30

WebAssign homework in Blackboard
3-7 6.4 Arc length
6.5 Average value of a function
6.6 Applications to Physics and Engineering (Work only)
6 6.4: 2, 7, 8, 18, 20
6.5: 2, 5,  8,  12, 16
WebAssign homework in Blackboard
3-14 7.1 Differential equations
7.2 Direction fields
7 6.6: 2, 4, 6, 9,10, 12, 13, 16, 20
7.1: 1, 2, 3, 4, 7, 9,10,11,14

WebAssign homework in Blackboard
3-21 7.3 Separable equations
7.4 Exponential growth and decay.
8 7.2: 1, 2, 3, 4, 6,10, 12, 22
7.3: 2, 8, 12, 15, 19, 22, 29, 34, 45 ,46
WebAssign homework in Blackboard
3-28 Review for Miterm II
Midterm II Thursday 3-31, 8:30-10pm in Javits 100.
(Midterm II covers material from Section 6.3 through 7.4, incuding 6.3 and 7.4) A sample midterm can be found here
Midterm II statistics are here.
7.5 The logistic equation
9 7.4: 2, 4, 9,11, 12, 13, 20
7.5: 1,3, 4, 6, 8, 10, 15
WebAssign homework in Blackboard
4-4 8.1: Sequences;
8.2: Series
10 8.1: 4, 6, 8, 9, 12, 14, 16, 20,  25, 29, 32, 34,  45
8.2: 9, 12, 16, 18, 19, 22, 24, 25, 30, 38, 41,  42, 52
WebAssign homework in Blackboard
4-11
8.3: Integral and comparison tests, Estimating sums
8.4 Other convergency tests.
11
8.3: 6, 8, 9, 10, 12,  15, 16,  20, 23, 26, 29, 36.
8.4: 4, 5, 7, 10, 11,14, 20, 22, 23, 28, 30, 34,  37, 38
WebAssign homework in Blackboard

4-18 Spring break
4-25
8.5 Power series, convergence and divergence
8.6 Writing functions as power series.
12
8.5: 3, 4,  7, 10, 14, 15,19, 22, 25, 26, 31, 34
8.6:  4, 8, 11, 12,13, 23, 26, 32, 37
WebAssign homework in Blackboard
5-2 8.7 Taylor and Maclaurin series;
8.8 Applications of Taylor series.
13 8.7: 4, 6, ,12, 16, 17, 21, 22, 29, 30, 33, 42, 43, 52, 59, 60, 62, 64
8.8: 1, 2, 3, 5,11, 15, 19, 23, 24.
WebAssign homework in Blackboard
5-9 Review for final.
Last day of classes: May 13
14
WebAssign homework in Blackboard

Final Monday, 5-23, 8:15 pm-11:00pm
 JAVITS 110 R10, R11, R01 97 Harriman Hall.137 R06, R07, R09 93 Old Engineering.143 R02, R03, R05, 81

Week
Starting
Sections,
(From Calculus, Concepts and Contexts,
Stony Brook Edition.)
# Calculus Cyber-Goodies
For all topics Mudd Math Fun Facts: when you need a break... fun math!

Many calculus resources at http://www.calculus.org

An online scientific calculator: http://web2.0calc.com/
1-31 5.1-5.5 Basic integration review
5.6 Integration by parts

1 Link to Lecture 1 slides.

An interesting resource for this course is the website (with problems, applets, demonstration etc) is http://www.calculus.org/

From the  Wolfram Demonstration Project

Comparing Basic Numerical Integration Methods
Fundamental Theorem of Calculus
Approximating Pi with instribed Polygons.
2-7 5.7 Trignometric integrals and partial fractions
2
2-14 5.10 Improper integrals
6.1 Areas between curves
3 From the Wolfram Demonstration Project
Area between curves
2-21 6.2 Volumes
6.3 Volumes by cylindrical shells
4 From the Wolfram Demonstration Project
Volumes of revolution using cylindrical shells. The disk method
2-28 Review for  Midterm
Midterm I Wed. 3-02, 8:30pm (Midterm I covers materials in Sections  5.1 through 6.2, including 6.2)
6.4 Arc length
5
3-7 6.5 Average value of a function
6.6 Applications to Physics and Engineering (Work only)
6 From the  Wolfram Demonstration Project

Average value of a function
3-14 7.1 Differential equations
7.2 Direction fields
7
3-21 7.3 Separable equations
7.4 Exponential growth and decay.
8
3-28 7.5 The logistic equation
7.6 Predator - prey systems
9
4-4 Review for Midterm II
Midterm II Thursday 3-31, 8:30-10pm (Midterm II covers material from Section 6.3 through Appendix I, including 6.2 and Appendix I)
8.1: Sequences;
10
4-11 8.2: Series
8.3: Integral and comparison tests, Estimating sums
11
4-18 Spring break
4-25 8.4: Other convergence tests.
8.5 Power series, convergence and divergence
12
5-2 8.6 Writing functions as power series
8.7 Taylor and Maclaurin series;
13
5-9 8.8: Applications of Taylor series;
Review for final.
Last day of classes: May 13
14

Final Monday, 5-23, 8:15 pm-11:00pm

 JAVITS 110 R10, R11, R01 97 Harriman Hall.137 R06, R07, R09 93 Old Engineering.143 R02, R03, R05, 81

Moira Chas

Web design due to Scott Sutherland.