· 1. Instructor: Dr. Harvey J. Charlton
Office:
203 Harrelson Hall
Campus Box 8205
Raleigh, NC 27695
Office
Hours: Every day
except at lunch, and unscheduled meetings.
If
possible please check.
Phone
Number: (919) 513-2291
Fax:
(919) 513-7336 (Please do not use for HW. See 15)
E-mail
address: charlton@math.ncsu.edu (Please do not use for HW. See 15)
· 2. Course Prerequisites:
A course in differential equations (MA 341) or an analysis
course
beyond calculus
· 3. Course Description:
This is a 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.
· 4. 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, Chauchy's Theorem, Taylor Series, Laurent Series, residues, and complex integration techniques as needed for special functions, transforms, and further studies.
· 5. Learning
Outcomes;
The
student will demonstrate at a beginning graduate level
proficiency
and understanding in these three
areas
of mathematics measured by daily homework, mid-term
and exam.
· 6. Student assessment:
By grading and editing daily homework, a midterm, and an exam.
7. Textbook:
Advanced Engineering Mathematics, Peter V.
O'Neil, 6th Edition,
Brooks/Cole, ISBN: 0534-55208-0
For price, call
NCSU bookstore at 919-515-2161 or order online
8. Topics and estimated days allocated to
each topics:
Week
1 - 3: Matrix Theory
Week 4 - 6: Applied Vector Calculus
Week 7 - 9: Applied Complex Function Theory with a half week
leeway
9. Tentative schedule of homework due dates, quizzes and tests
The
daily homework is to be turned in weekly. It is important that a student submit their work as promptly as possible.
Please see number 15. for assignments,
dates, and how students are
to submit homework.
10. Determination of grades: + and - system
Homework:
Each problem will be graded on a 10 point scale. The final
homework grade will be the sum of these scores normalized
to 100.
Attendance: NA
Tests:
One mid term cumulative open book take home
exam. Each
problem is graded on a 10 point scale. The grade will be the
sum of these scores normalized to 100.
This is to be your own work.
Please pledge the work.
Final Exam A 3 hour
proctored final exam. The exam is open book and
lecture notes.
Class Grade: The homework, midterm and final each count as 1/3 of your final grade.
Although not necessary you may use symbolic calculations and a handbook. However all computations
steps must be done by hand and shown not copied and
used. The emphasis
understanding and execution of materials.
The homework, mid term, and exam are each weighted as
one third of the final grade. The conversion from this
numerical grade to a letter grade is based on the standard
plus-minus ten point grading.
11. Policy on incomplete grades and late assignments:
For the online
students there is no fixed policy. Each case must be discussed with
the instructor and the online office. We
will adhere as closely as possible
to University standards as outlined in Policies,
Regulations, and Rules. http://www2.ncsu.edu/unity/project/www/ncsu/provost/info/academic_policies/
12. Policy on absences (excused and unexcused) and scheduling makeup work:
NA. As this is graduate online class.
13. Academic Integrity Statement:
Students are expected to follow university guidelines available at http://www.ncsu.edu/provost/academic_regulations/integrity/reg.htm.
Also see Student Affairs web site for more information
http://www.ncsu.edu/student_affairs/osc/AIpaage/acaintegrity.html
14. NC State policy on working with students with disabilities:
Reasonable accommodations will be made for students with Verifiable disabilities. In order to take advantage of
available accommodations,students must register with
Disability Service for Students