|
I developed a new
course on
Mathematical Modeling for senior undergraduate students. Interested
students are encouraged to contact me to know more about
the future offerings of the course!! |
Office: Building 14/ Room
2718 |
Educational Background:
Post-doctoral Research Fellow: Advisors: Dr. Timothy Ginn and
Dr.
Frank Loge, University of California,
Davis, 2005.
Ph.d. thesis Advisors: Prof. Z. Jackiewicz and Prof. Bruno D. Welfert, Arizona
State University, Arizona, 2004.
M.Sc. thesis Advisor: Prof. Powel Gora,
Concordia University, Montreal, 1997.
Summer research
Grant 2007-08, UNF
Summer research
Grant 2006-07, UNF
Summer Teaching Grant 2006-07, UNF
Graduate Research Award- 2004, Mathematics and Statistics
Department,
Arizona State University, Tempe.
Mathematical Modelling in Biology, Stochastic Differential
Equation, Computational Mathematics, Numerical Analysis, Dynamical
Systems
2. Central
Limit Theorems for some classes of Markov processes with
application to circular processes, F. C. Hoppensteadt, M.
Rahman, B.
D. Welfert, submitted, Advances in Applied Probability,JSTOR, 2005.
3. Stochastic
Approximation of
Perturbed Fredholm
Volterra integro-differential equation arising in Mathematical
Neurosciences,
M. Rahman,
Z.
Jackiewicz, B. D. Welfert, Applied Mathematics and
Computation 186(2007),1173-1182.
4. Markov versus Gaussian
white noise
arises and in propagation of wave arising in mathematical
neurosciences, Proceedings of Neural, Parrallel,
Scientific Computations 3(2006)203-206.
5. Numerical Solution of Fredholm
integro-differential equation modelling neural network, Z.
Jackiewicz,
M. Rahman, B. D. Welfert, Appl. Numer. Math. 56(2006), 423-432.
6. Wave propagation
in noisy
systems near
saddle node bifurcation in limit cycles, M. Rahman, in
preparation.
7. Stochastic
differential
equation arising in mathematical
neurosciences, in
preparation.
8. Stability analysis
of horizontal gene transfer of
kinetic network, in preparation.
9. Asymptotic
properties of
M.L.E's for extended generalized log-logistic (EGLL)
families of lifetime
distributions, in preparation, M. Rahman and James Gleaton
Stochastic Differential Equation and its Application, Department of Civil and Environmental, University of California at Davis, 23rd May, 2005.
Central Limit Theorems for Markov
Processes, Graduate Math. Seminar, Arizona State University,
23rd
March, 2004.
Numerical Approximations to
Stochastic
Differential Equations and their Applications in Mathematical
Neurosciences(Computational Math. Pro. Seminar, Arizona State
University, 25th Sept'03).
| Ordinary Differential Equation
(MAP2302) |
Intensive College Algebra
(MAC1990) |
| Syllabus.doc |
Syllabus.doc |
| Announcements/Lists of
Homworks/Quizzes |
List
of Homeworks/Quizzes problem |
| DFIELD7 PPLANE7 |
|
| LAB1- Oct. 01- Bldg.14/Rm.2743 LAB 2- Oct. 22- Bldg.14/Rm.2743 LAB 3- Nov. 19- Bldg.14/Rm.2743 |
|
| Syllabus.doc |
Announcements |
| HomeworkList.doc |
| Syllabus.doc Homework Assignments LAB1- Feb. 06 LAB 2- Feb. 20 LAB 3- March 03 LAB 4- April 02 at Bldg.14/Rm.2743 |
Project Assignments: |
| Reading Materials: EpidemicI EpidemicII EpidemicIII StichasticModel |
Sofware/Technology: XPPAUT MATLAB DFIELD7 PPLANE7 MAPLE |
| Syllabus.doc |
Announcement/Homework
Assignment EXAM2 PRACTICE PROBLEM/REVIEW |
| LAB1- March 03 LAB2-- April 02 at Bldg.14/Rm.2743 |
Graphing
Calculator Help VISUAL CALCULUS(BY DR. LAWRENCE S. HUSCH) |
| Ordinary Differential Equation |
Calculus I |
Intensive College Algebra |
| Syllabus.doc |
Syllabus.doc |
Syllabus.doc |
| Homework Assignments |
Homework Assignments | Homework
Assignments/Announcements |
| EXAM2REVIEW |
EXAM2
REVIEW |
|
| DFIELD7 PPLANE7 |
|
FINAL EXAM REVIEW |
| LAB1-10/11/07 |
FINAL EXAM REVIEW |
|
| LAB2-11/22/07 |
TAUGHT(SUMMER 2007)
| Calculus III |
Computer Lab |
Formulas |
| MAC2313Syllabus.doc Homework Assignments |
Maple Lab
Session: LAB1 LAB2 July 06(Friday 1:20-2:20pm) LAB4 July 13(Friday 1:20-2:20pm) |
Surface
area Calculation Formula Parametric and Polar Equations-Ch-10 Formula Vectors-Ch.11 Review_Exam1/REVIEW1 Answer Key for assigned exercises from Chap12-14 Review Exam2 /REVIEW2 REVIEW3 Graphing Calculator Help |
TEAUGHT(SPRING 2007)
| Calculus
I(Special Section for
Life Sciences Major, MAC 2311, CRN 10616) |
Calculus for
Business(MAC 2233,
CRN 12647) |
| Syllabus.doc |
Syllabus.doc |
| Announcements/Homework |
Announcements/Homework |
| VISUAL CALCULUS(BY DR. LAWRENCE S. HUSCH) | |
| Practice Problems /Review for
Exam1 |
Practice Problems /Review for Exam1 |
| LAB1-
March 14 Bldg 14/2743 |
Guide
for Optimization problems(Section 4.4-4.5) |
| LAB2- March 28 Bldg 14/2743 | Rule for Logarithms!!!(Review for section
5.1-5.2) |
| Guide
for Optimization Problems(Section
6.2) |
Practice Problems/ Review for Exam 2 |
| Practice
problems/Review for Exam 2 |
EXAM 2 SOLUTION KEY |
| PROJECT 1(APPLICATIONS TO LIFE SCIENCES) |
PRACTICE PROBLEMS FOR FINAL |
| PRACTICE PROBLEMS FOR FINAL |
SOLUTION
FOR EX 42(SECTION 6.4) |
COURSES TEAUGHT(FALL 2006):
| Differential
Equation |
Calculus
-I |
PreCalculus |
College
Algebra |
| Syllabus.html Syllabus.doc |
Syllabus.html Syllabus.doc |
Syllabus.html Syllabus.doc |
Syllabus.html Syllabus.doc |
| Homework |
Homework | Homework | Homework |
| DFIELD7 PPLANE7 |
|
||
| LAB1-
Sept. 20 LAB 2- Oct . 11 LAB 3- Nov. 01 LAB 4- Nov. 15 at Bldg.14/Rm.2743 |
VISUAL
CALCULUS(BY DR. LAWRENCE S. HUSCH) |
TRIG. FORMULAS |
Past Teaching:
Spring
2006
Mathematical Biology(MAC 6933 Syllabus)
Pre-Calculus(MAC
1147 Syllabus)
Fall 2005
Calculus with analytic Geometry-III MAC 2313
ANNOUNCEMENTS FOR MAC 2313 CLASS
ANNOUNCEMENTS FOR MAC 2233 CLASS
| Summer 2007( Mac 2313)-Cal-III | Spring 2007(Mac 2311(Calculus for Life Sciences), , Mac 2233) | Fall
2006(Map 2302, Mac 2311,
Mac 1147, Mac 1105) |
| Summer
2006( Mac 1105) |
Spring
2006(Mac 6933, Mac 1147) |
Fall
2005(Mac 2322, Mac 2313) |
| Calculus with
analytic Geometry-III Mat 272 ,Mat
271 Calculus with Analytic Geometry-II(ASU) |
Mat 270 Calculus
with Analytic
Geometry-I(ASU) |
Mat 170
Pre-Calculus(ASU) |
| Mat117
Introduction to Algebra(ASU) |
Math 106
Fundamentals of Algebra(ASU) |
Math 001
Fundamentals of Algebra(Purdue
School of Science) |
| Math 203 Diff.
& Integral Calculus (Univ. of Concordia) |
Math 200
Fundamental concepts of Algebra (University of Concordia) |
Topology,Fortran77,Diff.
& Integral
Calculus,Advanced Algebra(Univ. of Chittagong) |
Calculus with analytic Geometry-II Mat 271
Maple Lab Session