Dr. Mahbubur Rahman
Department of Mathematics and Statistics
University of North Florida
1 UNF Drive, Building 14/2727
Jacksonville, FL-32224
 

I have developed a 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


Professional Experience:

August 2010- Associate Professor, Department of Mathematics and Statistics, University of North Florida, Jacksonville, Florida-32224.

August 2005- July 2010, Assistant Professor, Department of Mathematics and Statistics, University of North Florida, Jacksonville, Florida-32224.

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:


STEM Fellow, 2012-13,UNF
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 modelling neural network, Z. Jackiewicz, M. Rahman, B. D. Welfert, Appl. Numer. Math. 56(2006), 423-432. FIDE.pdf

[2]. Markov versus Gaussian white noise arises and in propagation of wave arising in mathematical neurosciences, M. Rahman, Proceedings of  Neural, Parrallel, Scientific Computations 3(2006)203-206. MarkovvsGauss.pdf

[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. SDE.pdf

[4]. 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

[5]. Asymptotic properties of M.L.E's for distributions generated from s 2-parameter weibul distribution by a generalized log-logistic transformation, Journal of Probability and Statistical Science (JPSS), Vol8, No2(2010), pp 199-214, J. Gleaton and M. Rahman. AGLLW.pdf

[6].  Functional central limit theorem for Markov processes and chains,Journal of Probability and Statistical Science (JPSS), 11(2) 111-127, August 2013, M. Rahman and B. D. Welfert . CLT.pdf

[7]. Modeling the Effect of the Cytokine Interleukine-2 on Tumor-immune Dynamics with Michaelis-
Menten Kinetics as Functional Responses, Proceedings of the 18th International Mathematics Conference 2013 25-27, Bangladesh, M. M. Rahman


[8]. Asymptotic properties of M.L.E's for distributions generated from s 2-parameter inverse Gaussian distribution by a generalized log-logistic transformationGleaton and M. Rahman, 12(1), 85-99, 2014.

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

[10]. Stochastic differential equation arising in mathematical neurosciences, in preparation.

[11]. Stability analysis of horizontal gene transfer of  kinetic network, in preparation.




Conference/Seminar presentation:

Modeling the Effect of the Cytokine Interleukine-2 on Tumor-immune Dynamics with Michaelis-
Menten Kinetics as Functional Responses, 18th International Mathematics Conference 2013 20-22 March 2014 at Independent University, Bangladesh, M. M. Rahman (Invited speaker
).


Introduction to Mathematical modeling in Biology, Siam UNF chapter talk, UNF, April 2013, M. Rahman

Asymptotic Properties of MLE's for Distributions Generated from an Exponential-Class Distribution by a generalized Log-Logistic Transformation, ASA, Miami, Florida, 2011, J. Gleaton & M. Rahman.

Computer Simulation of Stochastic Differential Equations arises in Mathematical Neurosciences, First Coast Meeting Florida Section MAA, UNF, Florida, Jan 29th 2010, M. Rahman.

Modeling Gene Transfer of Kinetic Network in Aquifer Media, Joint Mathematics Meeting, Washington DC, 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 (Invited speaker).

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).

Student Supervision:

1. Joseph Ferrara, A Study of nonlinear Dynamics in Mathematical Biology, MS Thesis, July 2013.

2. Mike Hamilton, A Review of Mathematical Modeling of Pathways to Diabetics, Graduate presentation, May 2012.

3. Vignesh Vudatha, Worked on Modeling of Immune System Interaction between Tumor, Effector, and Cytokine Cells for Mammals, 2010

SUMMER 2014:

Pre-Calculus(MAC1147):

Syllabus.doc
Announcement/HomeworkList/Quiz.doc



Spring 2014

Business Calculus (MAC2233)
Calculus I (MAC 2311)
Syllabus
Syllabus
Announcements/Homework/Quiz
Announcements/Homework/Quiz

 


FALL 2013

ODE (MAP2302)
LINEAR ALGEBRA (MAS 3105)
CALCULUS I(MAC 2311)
Syllabus
Syllabus
Syllabus
Announcements/Homework/Quiz
Announcements/Homework/Quiz
Announcements/Homework/Quiz
DFIELD8
PPLANE8

 
Lab1 will be 09/24/13 at Bldg. 14/Room 2743
 

   





SUMMER 2013:

Ordinary Differential Equation(MAP2302):

Syllabus.doc
LAB1 (05/23/13)
LAB 2-
Announcement/HomeworkList/Quiz.doc
SELECTED SOL OF SEC 2.4

ANSWER KEY FOR QUIZ5
DFIELD8
PPLANE8

Spring 2013

Business Calculus (MAC2233)
Linear Algebra (MAS 3105)
Syllabus
Syllabus
Announcements/Homework/Quiz
Announcements/Homework/Quiz

Review for Exam1



FALL 2012

CAL III (MAC2313)
Calculus I (MAC2311)
Trigonometry (MAC1114)
Syllabus
Syllabus
Syllabus
Announcements/Homework/Quiz
Announcements/Homework/Quiz
Announcements/Homework/Quiz
SOLUTION_EX28_SEC13.8
TRIG.  FORMULAS

Rule for Logarithms

Graphing Calculator Help Graphing Calculator Help

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




SUMMER 2012:


Calculus I (MAC2311):

Syllabus.doc
Announcements/Homeworka/Quizzes

TRIG.  FORMULAS
Rule for Logarithms
Graphing Calculator Help




SPRING 2012 TEACHING


Mathematical Biology ( MAT 6933)
Calculus I (MAC 2311)
Syllabus.doc
Syllabus.doc
Homework/Announcements
Homework/Quiz/Announcements

TRIG.  FORMULAS
DFIELD8
PPLANE8
Graphing Calculator Help


lotkavolterra.m
schander.m
schanderRLG.m
fourierAV1.m
Rule for Logarithms
LAB1 (04/03/12)-SIMULATING ANALYZING USING Matlab/PPLANE8
LAB2(04/05/2012)-SIMULATING ANALYZING USING XPPAUT
LAB3 (04/10/2012-
SIMULATING ANALYZING USING XPPAUT
links:

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

TUTORIALS


FALL 2011 ( Taught)


Linear Algebra (MAS 3105)
Calculus I (MAC2311)
Business Calculus (MAC2233)




SUMMER 2011:


Calculus II (MAC2312):

Syllabus.doc
Announcements





SPRING 2011 TEACHING

CAL III (MAC2313)
CAL I (MAC2311)
Syllabus.doc
Syllabus.doc
Announcements/Homework/Quiz

Solution_exercise36_section12.4
Announcements/Homework/Quiz

LAB1: February 24th -Bldg.14/Rm.2743
mws1
mws2
TRIG.  FORMULAS
LAB 2:  March 10th- Bldg.14/Rm.2743
mws3
Rule for Logarithms
LAB 3:  March 31st- Bldg.14/Rm.2743 Graphing Calculator Help

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

TUTORIALS
FALL 2010 TEACHING

Numerical Analysis (MAD 4401)
Calculus for Biology (MAC 2241)
Syllabus.doc
Syllabus.doc
Announcements/Homework
Announcements/Homework/Quiz

Lab1-09/22/10 (Bldg. 14/2743)
Programs root finding method:
bisection.m
secant.m
newton.m
fixedpointiter.m
TRIG.  FORMULAS
Lab2-10/13/10 (Bldg. 14/2743)
Progarms numerical  integration:
Trapezoidal.m
drivertrapezoidal.m
Simpson.m
driversimpson.m
Rule for Logarithms
Lab3-11/03/10 (Bldg. 14/2743)
DFIELD8
PPLANE8
euler.m
f1.m
Graphing Calculator Help
Lab4 -11/17/10
rk2.m
VISUAL CALCULUS(BY DR. LAWRENCE S. HUSCH)
CALCULUS.ORG

TUTORIALS


SPRING 2010 TEACHING

ODE (MAP2302)
Calculus I (MAC2311)
Syllabus
Syllabus
Announcements/Homework/Quiz
Announcements/Homework/Quiz
EXAM1-REVIEW
EXAM2-REVIEW
FINAL REVIEW
LAB1: February 25th -Bldg.14/Rm.2743 TRIG.  FORMULAS
LAB 2:  March 23rd- Bldg.14/Rm.2743 Rule for Logarithms

Graphing Calculator Help
Sofware/Technology:
MATLAB
DFIELD8
PPLANE8
VISUAL CALCULUS(BY DR. LAWRENCE S. HUSCH)
CALCULUS.ORG

TUTORIALS

FALL 2009

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
LAB2- 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
http://www.duvalschools.org/static/aboutdcps/departments/acadprog/mathematics/index.asp