Dr. Mahbubur Rahman
Department of Mathematics and Statistics
University of North Florida
1 UNF Drive, Building 14/2727
Jacksonville, FL-32224
ve developed a course on Mathematical Modeling for senior undergraduate students. Interested
ents are encouraged to contact me to know more about the future offerings of the course!!
Office Phone: (904) 62
E-mail: mrahman@unf
URL:http://www.unf.ed
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,
Summer research Grant 2006-07,
Summer Teaching Grant 2006-07,
Graduate Research Award- 2004,
State University, Tempe.
UNF
UNF
UNF
Mathematics and Statistics Department, Arizona
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 loglogistic 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),
Accepted, 2011, M. Rahman and B. D. Welfert . CLT.pdf
7. Asymptotic properties of M.L.E's for distributions generated
from s 2-parameter inverse Gaussian distribution by a
generalized log-logistic transformation, Gleaton and M. Rahman,
submitted, 2012.
8. Wave propagation in noisy systems near saddle node bifurcation in limit
cycles, M. Rahman, in preparation.
9. Stochastic differential equation arising in mathematical neurosciences, in
preparation.
10. Stability analysis of horizontal gene transfer of
network, in preparation.
kinetic
Conference/Seminar presentation:
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.
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).
Spring 2013
BUSINESS CAL III (MAC2233)
Linear Algebra (MAS 310
Syllabus
Syllabus
Announcements/Homework/Quiz
Announcements/Homework/
FALL 2012
CAL III (MAC2313)
Calculus I (MAC2311)
Trig
Syllabus
Syllabus
Syll
Announcements/Homework/Quiz
Announcements/Homework/Quiz
Anno
SOLUTION_EX28_SEC13.8
TRIG.
FORMULAS
Rule for Logarithms
Graphing Calculator Help
Grap
VISUAL CALCULUS(BY DR. LAWRENCE S. HUSCH)
CALCULUS.ORG
SUMMER 2012:
Calculus I (MAC2311):
Syllabus.doc
TRIG. FORMULAS
Rule for Logarithms
Graphing Calculator Help
Announcements/Homeworka/Quizzes
SPRING 2012 TEACHING
Mathematical Biology ( MAT 6933)
Calculus I (MAC
Syllabus.doc
Syllabus.doc
Homework/Announcements
Homework/Quiz/A
TRIG.
FORMULAS
DFIELD8
PPLANE8
Graphing Calcul
lotkavolterra.m
schander.m
schanderRLG.m
fourierAV1.m
Rule for Logarithm
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
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
Announcements/Homework
Solution_exercise36_section12.4
LAB1: February 24th -Bldg.14/Rm.2743
mws1
mws2
TRIG.
FORMULAS
LAB 2:
mws3
March 10th- Bldg.14/Rm.2743
Rule for Logarithms
LAB 3:
March 31st- Bldg.14/Rm.2743
Graphing Calculator He
VISUAL CALCULUS(BY DR. LAW
CALCULUS.ORG
TUTORIALS
FALL 2010 TEACHING
Numerical Analysis (MAD 4401)
Calculus for Biology (MA
Syllabus.doc
Syllabus.doc
Announcements/Homework
Announcements/Homework/Q
Lab1-09/22/10 (Bldg. 14/2743)
Programs root finding method:
bisection.m
secant.m
newton.m
fixedpointiter.m
TRIG.
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)
Graphing Calculator Help
FORMULAS
DFIELD8
PPLANE8
euler.m
f1.m
Lab4 -11/17/10
rk2.m
VISUAL CALCULUS(BY DR. LAWREN
CALCULUS.ORG
TUTORIALS
SPRING 2010 TEACHING
ODE (MAP2302)
Calculus I (MAC2311)
Syllabus
Syllabus
Announcements/Homework/Quiz
Announcements/Homework
EXAM1-REVIEW
EXAM2-REVIEW
FINAL REVIEW
LAB1: February 25th -Bldg.14/Rm.2743
TRIG.
FORMULAS
LAB 2:
Rule for Logarithms
March 23rd- Bldg.14/Rm.2743
Graphing Calculator He
Sofware/Technology:
VISUAL CALCULUS(BY DR. LAW
CALCULUS.ORG
MATLAB
DFIELD8
PPLANE8
TUTORIALS
FALL 2009
ODE (MAP2302)
Calculus I (MAC2311)
Pre-
Syllabus
Syllabus
Syll
Announcements/Homework/Quiz
Announcements/Homework/Quiz
EXAM1: 10/01/09
Anno
EXAM
EXAM1: 10/01/09
TRIG.
TRIG.
LAB1:10/08/09
Rule for Logarithms
Rule
LAB2: 10/22/09
Graphing Calculator Help
Grap
Sofware/Technology:
VISUAL CALCULUS(BY DR. LAWRENCE S. HUSCH)
CALCULUS.ORG
MATLAB
DFIELD7
PPLANE7
FORMULAS
TUTORIALS
SUMMER 2009:
Ordinary Differential Equation(MAP2302):
Syllabus.doc
LAB1- June 02- Bldg.14/Rm.27
LAB 2- June 11- Bldg.14/Rm.2
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/Qui
TRIG.
FORMULA
DFIELD7
PPLANE7
Graphing Cal
lotkavolterra.m
Rule for Logar
LAB1-02/11/09--Bldg.14/Rm.2743
LAB2-03/02/09--Bldg.14/Rm.2743
links:
VISUAL CALCULU
CALCULUS.ORG
TUTORIALS
FALL 2008 TEACHING
Ordinary Differential Equation (MAP2302)
Intensive College Al
Syllabus.doc
Syllabus.doc
Announcements/Lists of Homworks/Quizzes
List of Homeworks/Qu
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 Coll
Syllabus.doc
Syllabus.doc
Syllabus.doc
Homework Assignments
Homework Assignments
Homework Assig
EXAM2REVIEW
EXAM2 REVIEW
Graphing Calculator Help
FINAL EXAM REV
LAB1-10/11/07
FINAL EXAM REVIEW
LAB2-11/22/07
SUMMER 2007
Calculus III
Computer Lab
Formulas
MAC2313Syllabus.doc
Maple Lab Session:
Homework Assignments
LAB1
LAB2
Surface area Calculation
Formula Parametric and Polar Equ
Formula Vectors-Ch.11
Review_Exam1/REVIEW1
Answer Key for assigned exercise
Review Exam2 /REVIEW2
REVIEW3
July 06(Friday 1:20-2:20pm)
LAB3
LAB4
Graphing Calculator Help
July 13(Friday 1:20-2:20pm)
SPRING 2007
Calculus I(Special Section for Life Sciences Major, MAC 2311, CRN
10616)
Calculus for Busi
Syllabus.doc
Syllabus.doc
Announcements/Homework
Announcements/Hom
VISUAL CALCULUS(BY DR. LAWRENCE S. HUSCH)
Graphing Calculat
Practice Problems /Review
Practice Problems
for Exam1
LAB1- March 14 Bldg 14/2743
Guide for Optimiz
4.5)
LAB2- March 28 Bldg 14/2743
Rule for Logarith
5.2)
Guide for Optimization Problems(Section 6.2)
Practice Problems
Practice problems/Review for Exam 2
EXAM 2 SOLUTION K
PROJECT 1(APPLICATIONS TO LIFE SCIENCES)
PRACTICE PROBLEMS
PRACTICE PROBLEMS FOR FINAL
SOLUTION FOR EX 4
COURSES TEAUGHT(FALL 2006):
Differential
Equation
Calculus -I
PreCalculus
Co
Al
Syllabus.html
Syllabus.doc
Syllabus.html
Syllabus.doc
Syllabus.html
Syllabus.doc
Sy
Sy
Homework
Homework
Homework
Ho
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
TRIG.
FORMULAS
links:
VISUAL CALCULUS(BY DR. LAWRENCE
S. HUSCH)
CALCULUS.ORG
TUTORIALS
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

Calculus with analytic Geometry-III MAC 2313
ANNOUNCEMENTS FOR MAC 2313 CLASS
MAC 2313 Syllabus
Review Chap 9
Review Chap 10

Calculus of Business Mac 2233
ANNOUNCEMENTS FOR MAC 2233 CLASS
MAC 2233 Syllabus
Graphing Calculator Help
Classes
Taught:
Summer 2007( Mac
2313)-Cal-III
Spring
2007(Mac
2311(Calculus
Fall 2006(Map 2302, Mac
2311, Mac 1147, Mac 1105)
for Life
Sciences), ,
Mac 2233)
Summer 2006( Mac
1105)
Spring
Fall 2005(Mac 2322, Mac
2006(Mac 6933, 2313)
Mac 1147)
Calculus with
analytic Geometry-III
Mat 272 ,Mat 271
Calculus with
Analytic GeometryII(ASU)
Mat 270
Calculus with
Analytic
GeometryI(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



Calculus with analytic Geometry-II Mat 271
Announcements
Mat 271 Syllabus

Mat271 Hw Assignment


WebWork
Test1 Review
Maple Lab Session



LAB1
LAB2
SnowmanLab
Some Links:



American Mathematical Society
SIAM
MAA
Math Competitions Archive
Math Olympiad
Mathematical Modeling Contest
http://www.duvalschools.org/static/aboutdcps/departments/ac
adprog/mathematics/index.asp