Dr. Mahbubur Rahman
Department of Mathematics and Statistics
University of North Florida
1 UNF Drive, Building 14/2718
Jacksonville, FL-32224
 

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 Phone:  (904)620-3748
E-mail: mrahman@unf.edu
URL:http://www.unf.edu/~mrahman


Personal
:

I am an assistant Professor at the Department of Mathematics and Statistics of the University of North Florida. If you would like to know more, here is my vitae.


Research Interests:

Mathematical Modelling in Biology, Stochastic Differential Equation, Computational Mathematics, Numerical Analysis, Dynamical Systems

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.


Awards:

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.



Publications:

1. Numerical Solution of Fredholm integro-differential equation Modeling theta dot neural network, Applied Mathematics and Computation 195(2008)523-536, Z. Jackiewicz, M. Rahman, B. D. Welfert. thetadot.pdf

2. 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. SDE.pdf

3. Numerical Solution of Fredholm integro-differential equation modelling neural network, Z. Jackiewicz, M. Rahman, B. D. Welfert, Appl. Numer. Math. 56(2006), 423-432. FIDE.pdf

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. MarkovvsGauss.pdf

5. 
A review of the functional central limit theorem with applications to circular Markov processes and chains, submitted to SIAM (2008), M. Rahman and B. D. Welfert . CLT.pdf


6. Asymptotic properties of M.L.E's for distributions generated from s 2-parameter weibul distribution by a generalized log-logistic transformation, submitted to Advances in Applied Probability (2009), James Gleaton and M. Rahman. AGLLW.pdf

7. Wave propagation in noisy systems near saddle node bifurcation in limit cycles, M. Rahman, in preparation.

8. Stochastic differential equation arising in mathematical neurosciences, in preparation.

9. Stability analysis of horizontal gene transfer of  kinetic network, in preparation.




Recent Talk:

Modeling Gene Transfer of Kinetic Network in Aquifer Media, AMS meeting, Atlanta,Jan. 7-9, 2009,  M. Rahman.

Stochastic approximations of differential equations equations arises in mathematical neurosciences, Fifth International Conference on Dynamic System and Applications, Atlanta, May 30- June2, 2007.

Markov versus Gaussian white noise arises and in propagation of wave arising in mathematical neurosciences, Third International Conference in Neural, Parrallel, Scientific Computation, Atlanta, Georgia, 9-12th August, 2006.

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).



FALL 2009 TEACHING


ODE (MAP2302)
Calculus I (MAC2311)
Pre-calculus (MAC1147)
Syllabus
Syllabus
Syllabus
Announcements/Homework/Quiz
Announcements/Homework/Quiz
EXAM1: 10/01/09
Announcements/Homework/Quiz
EXAM1: 09/30/09
EXAM1: 10/01/09
TRIG.  FORMULAS TRIG.  FORMULAS
LAB1:10/08/09
Rule for Logarithms Rule for Logarithms
LAB2: 10/22/09
Graphing Calculator Help Graphing Calculator Help
Sofware/Technology:
MATLAB
DFIELD7
PPLANE7

VISUAL CALCULUS(BY DR. LAWRENCE S. HUSCH)
CALCULUS.ORG

TUTORIALS

SUMMER 2009:

Ordinary Differential Equation(MAP2302):

Syllabus.doc
LAB1- June 02- Bldg.14/Rm.2743
LAB 2- June 11- Bldg.14/Rm.2743
Announcement/HomeworkList/Quiz.doc DFIELD7
PPLANE7


SPRING 2009 TEACHING


Mathematical Biology
Linear Algebra
Calculus I
Syllabus.doc
Syllabus.doc
Syllabus.doc
Homework/Announcements
Homework/Quiz/Announcements
Homework/Quiz/Announcements


TRIG.  FORMULAS
DFIELD7
PPLANE7

Graphing Calculator Help


lotkavolterra.m

Rule for Logarithms
LAB1-02/11/09--Bldg.14/Rm.2743
LAB2-03/02/09--Bldg.14/Rm.2743

links:

VISUAL CALCULUS(BY DR. LAWRENCE S. HUSCH)
CALCULUS.ORG

TUTORIALS

FALL 2008 TEACHING

Ordinary Differential Equation (MAP2302)
Intensive College Algebra (MAC1990)
Syllabus.doc
Syllabus.doc
Announcements/Lists of Homworks/Quizzes
List of Homeworks/Quizzes problem

Rule for Logarithms!!!


LAB1- Oct. 01- Bldg.14/Rm.2743
LAB 2- Oct. 22- Bldg.14/Rm.2743
LAB 3- Nov. 19- Bldg.14/Rm.2743





SUMMER 2008:

Linear Algebra (MAS3105):

Syllabus.doc
Announcements
HomeworkList.doc

SPRING 2008

MATHEMATICAL MODELLNG

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
 
CALCULUS FOR BIOLOGY

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)


FALL 2007 TEACHING


Ordinary Differential Equation
Calculus I
Intensive College Algebra
Syllabus.doc
Syllabus.doc
Syllabus.doc
Homework Assignments
Homework Assignments Homework Assignments/Announcements

EXAM2REVIEW
EXAM2 REVIEW

Graphing Calculator Help


FINAL EXAM REVIEW
LAB1-10/11/07
FINAL EXAM REVIEW

LAB2-11/22/07




SUMMER 2007

Calculus III
Computer Lab
Formulas
MAC2313Syllabus.doc

Homework Assignments
Maple Lab Session:

LAB1
LAB2

July 06(Friday 1:20-2:20pm)

LAB3
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


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) Graphing Calculator Help
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

Graphing Calculator Help




LAB1- Sept. 20
LAB 2- Oct . 11
LAB 3- Nov. 01
LAB 4- Nov. 15
at Bldg.14/Rm.2743


links:

VISUAL CALCULUS(BY DR. LAWRENCE S. HUSCH)

CALCULUS.ORG

TUTORIALS
TRIG.  FORMULAS


SUMMER-2006: COLLEGE ALGEBRA-MAC 1105(CRN 50328): SYLLABUS

TEST2 REVIEW/SAMPLE PROBLEMS

FINAL REVIEW/SAMPLE QUESTIONS


Past Teaching:

Spring 2006

Mathematical Biology(MAC 6933 Syllabus)

Pre-Calculus(MAC 1147 Syllabus)

Fall 2005

ANNOUNCEMENTS FOR MAC 2313 CLASS

MAC 2313 Syllabus


Review Chap 9
Review Chap 10


ANNOUNCEMENTS FOR MAC 2233 CLASS

 MAC 2233 Syllabus


Graphing Calculator Help


Classes  Taught:

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)

Fall 2003

Maple Lab Session


Some Links:

Math Competitions Archive        
Math Olympiad
          Mathematical Modeling Contest