Syllabus for MA  241  section 003, Summer 2009

0. TA:  Nilesh Gavaskar

Office Hours and Dates:  12:45-1:45
July 2, 8, 9, 10, 15, 17, 20, (24 different room), 28, 31
August 3, Time to be set.

1. Instructor:  J. E. Franke

Office:  SAS 3222
Office Hours:  9:30-10:00  MTWThF or by appointment
Phone Number:  515-2381
E-mail address:  franke@math.ncsu.edu
Homepage:  http://www.math.ncsu.edu/~franke

2. Goals and Objectives:

 MA 241 continues the treatment of differential and integral calculus started in MA 141.  Students will

• extend their understanding of integration as it relates to antidifferentiation.
• develop their integration skills, both algebraic and numerical, including the use of calculators and/or computer algebra software.
• learn to build mathematical models involving definite integrals to solve problems in a variety of applications.
• gain insights into the use of differential equations, including geometric visualization of solutions using slope fields, numerical approximations to solutions such as Euler's method, and analytic solutions of special cases by methods such as separation of variables.
• understand the concepts of sequences, infinite series and Taylor series, and the use of series to approximate functions.

3. Textbook:

Calculus, Concepts and Contexts, Third Edition by James Stewart, Brooks/Cole 2001. Price $120

4. Topics and estimated days allocated to each topics : 

Week by Week

Section

Topics

Week One

June 29-July 2

5.7

Trig. Substitution (review), Partial Fractions (Including Appendix G)

5.7, 5.8

Partial Fractions (Including Appendix G), Integration Using Tables, Approximate Integration

5.9

Approximate Integration

5.9, 5.10

Approximate Integration, Improper Integrals

MAPLE #0

And #1

HW#0=Review and HW #1 = Illustration of Definite Integrals

Both assignments are due July 8

July 3

Holiday

Independence Day

Week Two

July 6-July 10

5.10

Improper Integrals

6.1, 6.2

Areas, Volumes

6.2, 6.3

Volumes, Arc Length

6.4, 6.5

Average Value of a Function, Application to Physics and Engineering

TEST # 1, Friday, July 10

MAPLE #2

Numerical Integration | Due July 10

Week Three

July 13-July 17

6.5 to 6.7

Application to Physics and Engineering, Other Applications

6.5 to 6.7, 7.1

Application to Physics and Engineering, Other Applications, Modeling with Diff. Eqns

7.2, 7.3

Directional Fields, Euler's Method, Separable Equations

7.4, 7.5, Sup:7.7

Exponential Growth and Decay , The Logistic Equation, Second Order Linear Equations

Sup:7.7, 7.8

Second Order Linear Equations, Nonhomogeneous Linear Equations

MAPLE #3

Euler's Method and Scalar Equations | Due July 22

Week Four

July 20-July 24

Sup:7.8, 7.9

Nonhomogeneous Linear Equations, Application of Differential Equations

TEST # 2, Tuesday, July 21

Sup:7.9 and 8.1

Application of Differential Equations, Sequences

8.1, 8.2

Sequences, Series

8.2, 8.3

Series, Integral and Comparison Tests

MAPLE #4

Differential Equations | Due July 24

Week Five

July 27-July 31

8.3, 8.4

Integral and Comparison Tests, Other Convergence Tests

8.4, 8.5

Other Convergence Tests, Power Series

8.7

Taylor and Maclaurin Series

TEST # 3, Wednesday, July 29

8.6, 8.8

Representation of Functions as Power Series, The Binomial Series

8.9

Application of Taylor Polynomials

MAPLE #5

Taylor Approximation to Functions | Due July 31

August 3-4

Final Exam- comprehensive

5. Tentative schedule of reading assignments

Read the sections to be covered in the day to day schedule above before coming to class.

6. Tentative schedule of Maple labs, WebAssign, homework due dates, quizzes and tests

Homework is due every day.  You will be working in groups.
There will be WebAssign homework to submit.
For help with WebAssign go to http://www4.ncsu.edu/~jlgeorge/WAhowto/
To log into WebAssign go to http://webassign.net/ncsu/student.html
Maple homework use mini_submit  http://egrader.math.ncsu.edu/eGrader/gethw.php
Returned Maple labs http://www.math.ncsu.edu/calculus
The tests are on July 10, 21, and 29.
The final is on Tuesday, August 4.  It is a 3 hour test. 8:00-11:00 am

7. Determination of grades: + and - system

WebAssign: 8%

Homework/Group work: 10%
Maple:  5%
Tests:  51%
Final Exam:  26% 

Attendance:    Students who miss 3 or fewer classes may count their lowest test as half a test.  All absences count the same for attendance purposes.

8. Policy on incomplete grades and late assignments :  Late homework and lab assignments will not be graded.

9. Policy on absences (excused and unexcused) and scheduling makeup work:

The attendance policy is consistent with the Academic Regulations which can be found at http://www2.ncsu.edu/unity/project/www/ncsu/provost/info/academic_regulations/attend/reg.htm ( link )

In addition, the following clarifications are used in this course:  Excused absences are required for making up a missed test.

10. Course Prerequisites / Restrictive Statements :

More information is available at : http://www2.acs.ncsu.edu/reg_records/crs_cat/MA.html ( link )

11. Academic Integrity Statement:

Students are expected to follow university guidelines available at http://www.ncsu.edu/provost/academic_regulations/integrity/reg.htm ( link )

12. NC State policy on working with students with disabilities :

Information can be found at http://www.ncsu.edu/policies/academic_affairs/pols_regs/REG205.00.28.php
( link )

13. Statement on laboratory safety or risk assumption in courses requiring physical activity or field trips:

None

14. Statement on "pass-through" charges e.g. , lane rental at bowling alley, field trip costs, etc.:

None

Further Information:

NCSU Academic Regulations can be found at http://www2.ncsu.edu/unity/project/www/ncsu/provost/info/academic_policies/ (link)

Section
Look at these
Be ready to put these on the board

5.5
3, 7, 13, 21, 33, 41
10, 24, 34, 51, 53

5.6
1, 21, 27, 41, 45
8, 10, 14, 16, 26

5.7 Trig.
1, 13
2,  8, 9, 14

5.7 P. F.
15, 19, 21
22, 27

A57
3, 15, 19
5, 10, 17, 20, 23

5.8
5.9

1, 25, 29, 31
8,15, 17
4, 5, 9, 17, 19, 23, 26

5.10
1, 7, 12, 35, 36, 37, 45, 51, 57
2, 3, 5, 6, 13, 20, 23, 25, 29, 34, 41, 43, 46, 47

6.1
1, 3, 5,
6, 11, 22, 38

6.2
1, 21, 27, 31, 43
8, 9, 12, 13, 14, 26, 32, 37

6.3
7,
5, 6, 17, 22

6.4
3
4, 5, 9, 10

6.5
3, 5, 33, 34,
6, 8, 9, 17, 18, 25, 29, 30, 37, 39

7.1
1
3, 4, 7, 10, 14

7.2
1, 7, 13, 21,
2, 3-6, 9, 19, 22, 27

7.3
7, 35
8, 11, 25, 33, 38

7.4
3,
2, 8, 15, 17

7.5
3
1, 8

7.7 Sup
1, 3, 5, 7, 9, 15, 17, 19
4, 6, 8, 10, 18, 20, 22

7.8
1, 7, 8, 10
2, 3, 5, 6, 9, 15

7.9

2, 4, 6, 11, 13

8.1
3, 7, 9, 25, 41
6, 12,13, 20, 21, 28, 37, 42, 43, 45, 47

8.2
11, 27
3, 4, 9, 12, 15, 21, 25, 28, 31, 35,  36

8.3
2,
3, 5, 6, 7, 9, 13, 15, 19, 21, 31, 33

8.4
1, 3, 7, 8, 19, 21, 25
4, 6, 9, 13, 17, 20, 22, 23, 33, 35

8.5
3, 5, 13, 19,
8, 14

8.6
7, 16, 35
5, 11, 13, 14, 21, 25

8.7
1, 10, 19, 23, 34, 49, 50
5, 6, 11, 13, 22, 33, 37, 43

8.9
7, 15, 21
3, 8, 11, 12, 19, 23

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