Office: HA 2052. Goals and Objectives:
Office Hours: 9:00-10:00 MTWThF or by appointment
Phone Number: 515-2381
E-mail address: franke@math.ncsu.edu
Homepage: http://www.math.ncsu.edu/~franke
MA 241 continues the treatment of differential and integral calculus started in MA 141. Students will3. Textbook:
- 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.
Calculus, Concepts and Contexts, Third Edition by James Stewart, Brooks/Cole 2001. Price $1204. Topics and estimated days allocated to each topics :
|
Week by Week |
Section |
Topics |
|
|
|
|
|
Week One |
|
|
|
May 21-May
25 |
5.5 to 5.7 |
Substitution,
Integration by Parts, Trig-substitution Review |
|
|
5.7 |
Partial
Fractions (Including Appendix G) |
|
|
5.8, 5.9 |
Integration
Using Tables, Approximate Integration |
|
|
5.9 |
Approximate
Integration |
|
|
5.10 |
Improper
Integrals |
|
|
MAPLE
#0 And
#1 |
HW#0=Review
and HW #1 = Illustration of Definite Integrals Both assignments are due May 25 |
|
|
|
|
|
Week Two |
|
|
|
May 28 |
|
Memorial Day |
|
May 29-June
1 |
5.10, 6.1 |
Improper
Integrals, Areas |
|
|
6.2 |
Volumes |
|
|
6.3, 6.4 |
Arc Length,
Average Value of a Function |
|
|
|
TEST
# 1, Friday, June 1 |
|
|
MAPLE
#2 |
Numerical
Integration | Due June 1 |
|
|
|
|
|
Week Three |
|
|
|
June 4-June
8 |
6.5 |
Application
to Physics and Engineering |
|
|
6.5 to 6.7 |
Other
Applications |
|
|
7.1 to 7.2 |
Modeling
with Diff. Eqns, Directional Fields, Euler's Method |
|
|
7.3 to 7.5 |
Separable
Equations, Exponential Growth and Decay, |
|
|
|
The
Logistic Equation |
|
|
Sup:7.7 |
Second
Order Linear Equations |
|
|
MAPLE
#3 |
Euler's
Method and Scalar Equations | Due June 8 |
|
|
|
|
|
Week Four |
|
|
|
June
11-June 15 |
Sup:7.8 |
Nonhomogeneous
Linear Equations |
|
|
|
TEST
# 2, Tuesday, June 12 |
|
|
Sup:7.9 |
Application
of Differential Equations |
|
|
8.1 |
Sequences |
|
|
8.2 |
Series |
|
|
MAPLE
#4 |
Differential
Equations | Due June 15 |
|
|
|
|
|
Week Five |
|
|
|
June
18-June 22 |
8.3 |
Integral
and Comparison Tests |
|
|
8.4 |
Other
Convergence Tests |
|
|
8.7 |
|
|
|
|
TEST
# 3, Wednesday, June 20 |
|
|
8.5, 8.6 |
Power
Series, Representation of Functions as Power Series |
|
|
8.8, 8.9 |
The
Binomial Series, Application of |
|
|
MAPLE
#5 |
|
|
|
|
|
June
25-26
|
|
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.7. Determination of grades: + and - system
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 June 1, 12, and 20.
The final is on Tuesday, June 26. It is a 3 hour test. 8:00-11:00 am
8. Policy on incomplete grades and late assignments : Late homework and lab assignments will not be graded.
WebAssign: 10%
Homework/Group work: 10% Maple: 5% Tests: 51% Final Exam: 24% 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.
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 )10. Course Prerequisites / Restrictive Statements :In addition, the following clarifications are used in this course: Excused absences are required for making up a missed test.
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.php13. Statement on laboratory safety or risk assumption in courses requiring physical activity or field trips:
( link )
None14. Statement on "pass-through" charges e.g. , lane rental at bowling alley, field trip costs, etc.:
NoneFurther 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
5.9
1, 25, 29, 31
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