NORTH CAROLINA STATE
UNIVERSITY
Department of Mathematics
Syllabus for MA 502
Spring 2009
1. Instructor: Dr. Amassa Fauntleroy
Office: 229 Harrelson Hall
Campus Box
8205
Raleigh,
NC 27695
Office
Hours:
M & W 1:30-2:30
Phone
Number:
(919) 515-3304
Fax:
(919) 513-3798
E-mail
address:
amassa@math.ncsu.edu
Course
Prerequisites:
A course in
differential equations (MA 341) or a higher analysis course
2. Course Objectives:
The
student is expected to achieve proficiency in and understanding of linear algebra,
vector differential
and integral calculus, and complex function theory in preparation
for applications in engineering and science. In linear algebra the student will learn matrix algebra,
matrix inversion, eigen
pairs, diagonalizing matrices, and classes of
matrices. In vector calculus the
student will learn vector fields, divergence, curl, Greens Theorem, Divergence
Theorem, Stokes Theorem, and how to apply these topics. In complex function theory the student
will learn complex numbers and their representations, analytic functions,
complex integrals, Cauchy's Theorem, Taylor Series, Laurent Series, residues,
and complex integration techniques as needed for special functions, transforms,
and further studies.
Course Description:
This
is an advanced undergraduate and first year graduate course introducing linear
algebra, multivariable calculus, and complex function theory. The emphasis will be solution
techniques of classical problems in these topic areas as a bridge to further
work.
3. Textbook:
Advanced
Engineering Mathematics, Peter V. O'Neil, 6th Edition, Brooks/Cole,
ISBN:
0534400779. For price, call NCSU
bookstore at 919-515-2161
4. Topics and estimated days allocated to each
topics:
(see daily schedule appended below)
Matrix
Theory
Applied
Vector Calculus
Applied
Complex Function Theory
5. Determination of grades: + and - system
Homework: 25%
Tests:
3 in class tests 40%
Final
Exam Final
exam 35%
The
conversion from numerical grade to letter grades is based on the standard
ten point grading system.
6. Academic Integrity Statement:
Students
are expected to follow university guidelines available at
http://www.ncsu.edu/provost/academic_regulations/integrity/reg.htm
(link)
7. NC State policy on working with students
with disabilities:
You
must contact the NCSU Disability Services for Students DSS located in Suite
1900 of the Student Health Center.
Information
can be found at http://www.ncsu.edu/provost/offices/affirm_action/dss/
http://www.ncsu.edu/provost/hat/current/apendix/appen_k.html
(919)515-7653(voice)
(919)515-8830(TTY)
Further Information:
NCSU
Academic Regulations can be found at
http://www2.ncsu.edu/unity/project/www/ncsu/provost/info/academic_policies/
(link)
Daily
Schedule
Date
Section
Page / Problems
Jan 7
7.1 250
/3,10,19,21
Jan 9 7.2 258
/ 3,5,10,11
Jan 12 7.3, 7.4 265
/5,7 & 271 / 1, 3, 11
Jan 14
7.5 279
/ 5,11
Jan 16
7.6 283
/11, 13
Jan 19 Martin
Luther King Holiday
Jan 21 7.7 292
/ 7, 9, 13
Jan 23 7.8 298
/3, 7, 13
Jan 26 8.1,
8.2 301
/ 1
Jan 28 8.2,
8.3 303
/3 & 307 /3 (use pb 1)
Jan 30 8.4,
8.5 310
/ 3,5 & 313 / 3,9, 11
Feb 2 8.6,
8 315
/1 & 318 / 3
Feb 4 8.7,
8.8 318
/ 5 & 320 / 1, 5
Feb 6 Exam #1
Feb 9 9.1,
9.2 329/5,7,19
&339 /7,9,12,15
Feb 11 9.3,
9.4 347
/6,7,11 & 352 /3,13,15
Feb 13 9.5,
9.5 352
/23 & 358 /3,9,13
Feb 16 12.1,
12.2 481/1,3,9,11
& 493/ 5,7,11
Feb 18 12.3,12.4,12.5 499/
1,7,13,17 & 509/ 3,9,11,17 & 514/ 3,11,15
Feb 20 13.1, 528/
1,3,7,9,13
Feb 23 13.2 532/
3,9,11 & 535/ 3
Mar 2 -6 Spring
Break
Mar 9
13.3,13.4 545/7,9,13
& 556/1,9
Mar 11 13.5
&13.6 562/
5,7 & 564/ 1
Mar 13 13.7,13.8
571/5,7,9 & 579/ 3,9,13,19
Mar 16
Exam #2
Mar 18 20.1 921
/ 1,3,5,7,17,19,23,25,30
Mar 20 20.2 936/
3,9,11,13,15,17,19,21, 25, 27
Mar 23 21.1,
21.2 950/1,5,7
& 957/ 5,7,9
Mar 25 21.3,21.4 966/3,5,13,17
& 969/ 3,5
Mar 27 21.5 972/
5,11,15
Mar 30 22.1 979/1,5
Apr 1 22.2 989/
5,7,11,17
Apr 3 22.3 994/
5,7,11
Apr 6 22.4 1005/
1,5,7,13
Apr 8 23.1 1018/
5,11,17
Apr 10
Holiday
Apr 13 23.2 1022/
1,3,7
Apr 15 24.1 1029/3,5,11,13
Apr 17
Exam #3
Apr 20 24.2 1036/1,3,11,15
Apr 22 24.3 1053/
1,3,11,15,17
Apr 24
(Last class) 24.3 1053/
19,21,22,23
Final Exam
(comprehensive) 8-11 AM, Friday, May 1