Syllabus for MA 426, Fall 2005

1. Instructor: J. E. Franke

Office: HA 205
Office Hours: 10:10 - 11:00 M, W, F 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 426 is the second semester of mathematical analysis. Students will

develop an understanding of the theory of calculus in several variables.

develop their proof skills in multidimensional calculus.

understand the concepts of topology in n-dimensions, compact and connected sets, functions, limits, continuity, differential and integral calculus of several variables.

3. Textbook:

Elementary Classical Analysis by Jerrold E. Marsden and Michael J. Hoffman, Second Edition, W. H. Freeman and Company
$92

4. Topics and estimated days allocated to each topics:

Chapter	Sections	Lectures	Topics
1 & 2	1.6-1.7, 2.1, 2.3-2.5, 2.7-2.9	8	Topology of n-space
3	3.1-3.5	5	Compact and Connected sets
4	4.1-4.6	6	Continuous Mappings
5	5.1	2	Uniform Convergence
6	6.1-6.9	9	Differentiable Mapppings
7	7.1-7.2, 7.7(optional)	3	Inverse and Implicit Function Theorems
8	8.1-8.4	6	Integration
9	9.1-9.2	2	Fubini's Theorem, Change of Variables

5. Tentative schedule of reading assignments

Read the sections to be covered for the week.

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

Homework will be done in groups and is due on Friday.
There will be two tests, scheduled depending on class progress.

The final is on Friday, Dec. 9 at 8:00 am. It is a 3 hour test.

7. Determination of grades:

Homework: 15%

Test 1 25%

Test 2 25%

Final: 35%

Range	Grade
97.6 <= X <= 100	A+
92.3 <= X < 97.6	A
90.0 <= X < 92.3	A-
87.6 <= X < 90.0	B+
82.3 <= X < 87.6	B
80.0 <= X < 82.3	B-
77.6 <= X < 80.0	C+
72.3 <= X < 77.6	C
70.0 <= X < 72.3	C-
67.6 <= X < 70.0	D+
62.3 <= X < 67.6	D
60.0 <= X < 62.3	D-
X < 60	F

8. Policy on incomplete grades and late assignments:

Late homework assignments will not be graded.
The policy on incomplete grades is consistent with Grading Policies in Chapter 5 of the Handbook on Advising at
http://www.ncsu.edu/provost/academic_policies/grading/reg.htm

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:

MA 425 and MA 405
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://www2.ncsu.edu/ncsu/stud_affairs/counseling_center/dss/ (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)