Mathematics and Physics play an important role in understanding the fundamental laws of nature and it directly correlates the other fields of engineering and natural sciences. Understanding the importance and necessity of acquiring knowledge about the most exciting and interesting branch of science and engineering, Department of Mathematics and Physics belongs to the School of Engineering and Physical Sciences.
The Department of Mathematics and Physics is one of the dynamic departments of North South University, which incorporates fundamental, experimental and mathematical study. We are committed to excellence in teaching and research. All our faculty members are highly qualified and they are responsible for teaching the Mathematics, Physics and Statistics courses offered by the University. Fifteen of our twenty-four full-time faculty members are Ph.D. s from North America, Australia or Western Europe. The breadth of expertise of our faculty members covers almost the entire range of mathematics and physics, pure as well as applied. They are active in all branches of state-of-art research which include, but not limited to, the following topics:
To equip the students of our university with a Mathematics and Physics background that is essential to study their own disciplines under various departments across the university.
To run the existing Mathematics minor program and take it to a level so that it attracts the best caliber Engineering, Economics, Business and Environmental sciences majors.
To create and spread knowledge in Mathematics through research and teaching so that it can serve as a resource center of Physics and Mathematics expertise at least at the national level.
Currenty the department runs a 21 (twenty one) credits "Math Minor" program. A 23 (twenty three) credits "Physics Minor" progarm is submitted for academic review. We hope to launch this very soon. However, a complete program of MSc in Applied and Computational Sciences (AMCS) is under preparation. Our vision is to transform our department from present course offering position to a full-fledged department which among other things will offer a major in Mathematics as well as a major in Physics.
Department of Mathematics and Physics (DMP), North South University (NSU), celebrated the pi-moment of the century at the campus. Pi is the ratio of the circumference of a circle to its diameter. It is symbolized by the greek letter pi in the lower case (π). This is a fixed quantity, which is usually taken to be 3.14. The number of digits after the decimal is infinite. In the western countries, especially in the US, March 14 (written 3/14 in the American style) is celebrated every year as the pi-day. March 14 this year is a bit more special. The first ten digits of the value of pi, i.e., 3.141592653 can be arranged as March 14, 15, 9:26:53. We call this special moment as the pi-moment. This moment will come again in 2115, one hundred years later.
At this precise moment (according to Bangladesh-time) of this century, students from various departments of NSU participated in a celebration of the moment. They formed a human circle with a diameter. Then dividing the number of people in the circumference by the number of people in the diameter yielded a value close to the actual value of pi. They did the same thing with chairs. At the end a large number of people formed the shape of the symbol π.
Professor Partha Pratim Dey, the chairman of the Department was present at the event along with a few other faculty members, namely, Kazi Abu Sayeed, Hasina Akter, and Muhammad Asad-uz-zaman. A few part time faculty members were present as well as Golam Dastegir Al Quaderi, a faculty member of the Physics Department at Dhaka University, who participated as a guest. The initiative was taken by Naureen Ahsan, a part time faculty member at NSU and a full time faculty member at Dhaka University. 
Pi-moment of the century, March 14, 15 9:26:53
Chairman of DMP is seen with faculty members and students.
The human circle yielded a close value to pi A chair circle yielded an even closer value to pi
A human pi symbol
Designation: Program Officer
Education: B.Sc(Hons) & M.Sc (Home Management and Housing), Home Economics College (Under University of Dhaka).
Cell # 01743344757 , Ext. No-1561
E-mail: nahid.sanjana@northsouth.edu
Office Room: SAC1037
Office Hours: Sunday to Thursday: 9:00 AM to 5:00 PM
Office Room: SAC 1037
Office Hours: Sunday to Thursday: 9:00 AM to 5:00 PM
Designation: Faculty Assistant
Education: Masters of Business Studies in Accounting, National University
Office Room: SAC 1020
Email: rokibul.islam01@northsouth.edu
Phone: +88 02 55668200 Ext. – 6389
Office Hours: Sunday to Thursday: 9:00 AM to 5:00 PM
• Title: Reduced order modeling of discrete-time periodic systems exploiting recursive Krylov approximation ;
• Title: Numerical Methods for Model Reduction of Index-2 Periodic Descriptor Systems with Application to Circuit Simulation ;
• Title: Newtonian and Non-Newtonian Fluid Flow Simulation using High-Performance Parallel Computing via GPU and Cluster CPU ;
• Title: Numerical Simulation of Turbulent Air Flow and Pollutant Dispersion in Urban Areas using High Performance Parallel Computing ;
• Title: Model Reduction of Second-Order Descriptor Systems over Finite-Frequency Interval ;
• Title: Simulation-based study on next-generation enhanced heat transfer fluids: Non-Newtonian Nanofluids;
• Title: Mathematical Modelling of within-host progression of DEN infection;
• Title: Identification of modes from numerical data;
• Title: Simulation of Pollutant Dispersion in Urban Areas with Three Dimensional Building Arrays in the City of Dhaka. (2019-2021) ( On 03-12/2019);
• Title: Developing Mathematical Algorithms and Softwares for the Model Reduction of Large-Scale Dynamical Systems;
Research Areas
| Name of Faculty | Area of Research |
| Dr. Partha Pratim Dey | Coding Theory, Mathematical Modeling |
| Dr. Miftahur Rahman | Control Systems and CNC Machine |
| Dr. Mamun Molla | Computational Fluid Dynamics, Parallel Computing |
| Dr.Mohammad Sahadet Hossain | Systems and Control Theory, Model Order Reduction, Scientific Computing |
| Dr. Subir Chandra Ghosh | Nanometarils and Solar Energy |
| Dr. Muhammad Asad-Uz-Zaman | Nonlinear Dynamics |
| Dr. Hasina Akthar | Dynamical Systems and Ergodic Theory |
| Dr. Mohammad Monir Uddin | Systems and Control Theory, Model Order Reduction, Numerical Liner Algebra and Scientific Computing |
| Md. Zahangir Hossain | Computational Fluid Dynamics |
1.• Comparative Analysis of model reduction strategies for circuit based periodic control problems.; Mohammad Sahadet Hossain, Aniqa Tahsin, Sufi Galib Omar, and Ekram Hossain Khan; Asian Journal of Control (publisher-J. Wiley and Sons), November 30, 2019.
2.• Recursive Smith-type iterative algorithm to solve a class of periodic Lyapunov equation arising in periodic model reduction; Mohammad Sahadet Hossain; Malaysian Journal of Mathematical Sciences (MJMS), Vol-13, Number-03, pp:447-464, 2019
3.• One-Error Correcting [5,2] Ternary Codes.; 6. Md. Zahangir Hossain, P. Dey, M. Asifuzzaman ;Journal of Discrete Mathematical Sciences and Cryptography, Vol 22, Issue4, pp.935-941, (2019), (Publisher-Taylor & Francis).
4.• Non-Newtonian effect on natural convection flow over cylinders of elliptic cross section.; P. Nag, M. M. Molla, M. A. Hossain ;Applied Mathematics and Mechanics, https://doi.org/10.1007/s10483-020-2562-8 (Publisher-Springer Nature).
5.• Bingham Fluid Flow Simulation in a Lid-Driven Skewed Cavity using Finite Volume Method, Mathematics and Computers in Simulation S. Thohura, M. M. Molla, M. M. A. Sarker; Mathematics and Computers in Simulation, International Journal of Computer Mathematics, https://doi.org/10.1080/00207160.2019.1613527 (Publisher-Taylor & Francis)
6.• Numerical Simulation of Non-Newtonian Power-law Fluid Flow in a Lid-driven Skewed Cavity.;S, Thohura, M. M. Molla, M. M. A. Sarker, Mathematics and Computers in Simulation, International Journal of Applied and Computational Mathematics, Vol. 5(14) pp.1-29, https://doi.org/10.1007/s40819-018-0590-y (Publisher-Springer Nature)
7.• Structure Preserving Model Order Reduction of a Class of Second-Order Descriptor Systems via Balanced Truncation.; M. M. Uddin, Applied Numerical Mathematics, Vol. , 2019, DOI:10.1016/j.apnum.2019.12.010
8 • Iterative methods for solving large sparse Lyapunov equations and application to model reduction of index 1 DAEs. ; M. Sumona Hossain and M. M. Uddin; Numerical Algebra, Control and Optimization (AIMS), Vol. 9(2), pp. 173-186, 2019 DOI: 10.3934/naco.2019013
9.• Toward Cell Membrane Biomimetic Lipidic Cubic Phases: A High-Throughput Exploration of Lipid Compositional Space; Sampa Sarkar, Nhiem Tran, Md. Harunur Rashid, Tu C. Le, Irene Yarovsky, Charlotte E. Conn, and Calum J. Drummond, ACS Applied Bio Materials, 2, 2019.
10.• Global well-posedness of a class of fourth-order strongly damped nonlinear wave equations.; Yang Yanbing, Md Salik Ahmed, Qin Lanlan, and Xu Runzhang ;Opuscula Mathematica, DOI:10.7494/OpMath.2019.39.2.297.
11.• Global existence and blowup of solution for semi-linear hyperbolic equation with logarithmic non-linearity.; Wei Lian, Md Salik Ahmed, Runzhang Xu ;Nonlinear Analysis, volume 184, July 2019, 239-257 (Publisher-Elsevier).
12.• Global existence and blowup of solution for nonlinear Klein-Gordon equation with general power type nonlinearities at three initial energy levels; Youngbing Lou, Yang Yanbing, Md Salik Ahmed, Yu Tao; Applied Numerical Mathematics, DOI: https://doi.org/10.1016/j.apnum.2018.05.018(Publisher-Elsevier).
13.• Sharp conditions of global existence for nonlinear Schrödinger equation with a harmonic potential.;Mingyou Zhang and Md Salik Ahmed; Adv. Nonlinear Anal.; vol 9, 2019 : 882–894, DOI: https://doi.org/10.1515/anona-2020-0031.
14.• Effect of Cu substitution on structural and electric transport properties of Ni-Cd nanoferrites; Arifuzzaman M, Hossen M B; Results in Phys. 16, 102824, DOI: https://doi.org/10.1016/j.rinp.2019.102824 (Publisher-Elsevier).
15.• An efficient model reduction strategy for discrete-time index-2 descriptor control systems; Sufi Galib Omar, Mohammad-Sahadet Hossain, Ekram Hossain Khan, Aniqa Tahsin, In 2019 International Conference on Electrical, Computer and Communication Engineering (ECCE). Paper id-7690. IEEE Xplore. DOI:1109/ECACE.2019.8679509.
16.• An efficient algorithm for reduce order modeling of discrete-time index-2 descriptor control systems; Mohammad Sahadet Hossain, Ekram Hossain Khan and Sufi Galib Omar, in Proceddings of 22nd International Conference of Computer and Information Technology (ICCIT), 18-20 December, 2019. Accepted to appear in IEEE Xplore (Received Best Paper Award).
17 • Multiple-relaxation-time lattice Boltzmann simulation of natural convection flow in a partitioned cavity using GPU computing; M. J. Haque, M. M. Molla, M. N. Akter , S C Saha; AIP Conference Proceedings 2121, 030017 (2019); https://doi.org/10.1063/1.5115862.
18.• Natural Convection of non-Newtonian Shear-Thinning Fluid Flow inside a Skewed Cavity; S. Thohura, M. M. Molla, M. M. A. Sarker; AIP Conference Proceedings 2121, 030014 (2019); https://doi.org/10.1063/1.5115862.
19.• Effect of non-Newtonian shear thinning fluid on the natural convection flow over an horizontal elliptical cylinder; Nag, M. M. Molla, M. A. Hissain; AIP Conference Proceedings 2121, 030015 (2019); https://doi.org/10.1063/1.5115860 .
20.• Aerosol particle transport and deposition in CT-scan based mouth through model; S.C Saha, M. S. Islam, M. R. Gorgi, M. M. Molla; AIP Conference Proceedings 2121, 040011 (2019); https://doi.org/10.1063/1.5115882.
21.• Riccati based optimal control for linear quadratic regulator problems; Mahtab Uddiny, M. A. Hakim Khan, and M. M. Uddin, 5th International Conference on Advances in Electrical Engineering 2019 (ICAEE 2019), in IEEE Xplore, pp. 290- 2095 Doi: 10.1109/ICAEE48663.2019.8975637.
22.• Reduced Model Based Feedback Stabilization of Large-scale Sparse Power System Model, Hasan,A. M. Fony and M. M. Uddin , International conference on Electrical, Computer and Communication Engineering (ECCE ), IEEE, pp. 1-6 , 2019. DOI: 10.1109/ECACE.2019.8679174.
23.• Optimal Control of Sensor Based Human Arm Motion and Gesture Replication System; Amir, M. S. Kamal, M. M. Uddin, K. M. A. Salam, IEE Conference on Systems, Process and Control (ICSPC), IEEE, pp.52--57 , 2019, DOI:10.1109/ICSGRC.2019.8837084
24.• Time delay coordinate based Dynamic Mode Decomposition of a compressible signal, Mohammad N. Murshed and M. Uddin, 22nd International Conference on Computer and Information Technology (ICCIT), Accepted to be published in IEEE Xplore, 2019
25.• An Analysis on Python Programming Language Demand and its Recent Trend in Bangladesh; Aaquib Javed, M. Uddin , 22nd International Conference on Computer and Information Technology (ICCIT), Accepted to be published in ACM Digital Library, 2019
26.• Efficient computation of Riccati-based optimal control for power system models; Mahtab Uddiny, M. A. Hakim Khan, and M. Uddin, 22nd International Conference on Computer and Information Technology (ICCIT), Accepted to be published in IEEE Xplore, 2019
27.• Non-Newtonian Effect on Double Diffusive Natural Convection of Nanofluid within a Square Cavity; Preetom Nag, Md. Mamun Molla (2019), Conference Proceedings on 13th International Conference on Mechanical Engineering, AIP publisher.
28.• Natural Convection Flow of Nanofluids over Horizontal Circular Cylinder with Uniform Surface Heat Flux; Sadia Afsana, Preetom Nag, Md Mamun Molla (2019), Sharaban Thohura; Conference Proceedings on 13th International Conference on Mechanical Engineering, AIP publisher.
29.• GPU Accelerated Lattice Boltzmann Simulation of Non-Newtonian Power-Law Fluid in a Porous Enclosure; Mashnoon Islam, Preetom Nag, Md. Mamun Molla (2019), Conference Proceedings on 13th International Conference on Mechanical Engineering, AIP publisher.
30 • Lattice Boltzmann Simulation of MHD Non-Newtonian Power-law Nanofluid in A Rectangular Enclosure Using GPU Computing; Aimon Rahman, Preetom Nag, Md. Mamun Molla(2019), Conference Proceedings on 13th International Conference on Mechanical Engineering, AIP publisher.
31 • Time delay coordinate based Dynamic Mode Decomposition of a compressible signal; Murshed, Mohammad and Uddin, M. Monir, International Conference on Communication and Information Technology: Dec 19, 2019. to appear on IEEE Xplore.
32 • Study of molecular transport through a single nanopore in the membrane of a giant unilamellar vesicle using COMSOL simulation; Mohammad Abu Sayem Karal, Md. Kamrul Islam, Zaid Bin Mahbub, European Biophysics Journal, https://doi.org/10.1007/s00249-019-01412-0, December 2019.
33 • Multi-shot Echo Planar Imaging for accelerated Cartesian MR Fingerprinting: An alternative to conventional spiral MR Fingerprinting’; Arnold Julian V Benjamin, Pedro A. Gómez, Mohammad Golbabaee, Zaid Bin Mahbub, T Sprenger, Marion I. Menzel, Michael Davies, Ian Marshall,, Magnetic Resonance Imaging, vol 61, 20–32, May 2019.
1• Computational Methods for Approximation of Large-Scale Dynamical Systems.; M. Monir Uddin; 1st Edition, New York, 2019, BOOK. Publisher: CRC Press (Taylor and Francis Group) DOI:10.1201/9781351028622.
2• IoT and Computer Vision based Electronic Voting System Advances in Intelligent Systems and Computing (AISC); Md. Nazmul Islam Shuzan, Mahmudur Rashid, Md. Aowrongajab Uaday, and M. M. Uddin; Springer (Book Chapter), Accepted.
1• One-Error Correcting [6,2,4] Quaternary Codes; Zahangir Hossain, P. Dey, Md. Asifuzzaman; Advances and Applications in Discrete Mathematics, Vol 20, Number 2, pp.205-218, PPH.
2• Travelling wave solution of Dodd-Bullough-Mikhailov equation: a comparative study between Generalized Kudryashov and improved F-expansion methods ;Islam, Naima, Kamruzzaman Khan, and Md Hamidul Islam; Journal of Physics Communications, 2019.
3• Assessment of existing teaching evaluation process in a higher education institution of Bangladesh; Mohammad Sahadet Hossain, Nazmun Nahar and Ahmed Tazmeen; In 1st CETL Conference on Higher Education, August 22 and 23, 2019, University of Liberal Arts Bangladesh. Available from: https://easychair.org/publications/preprint/hqZm.
4• Mathematical Modelling of Viral Dynamics in Severe Dengue Infection; Md Hamidul Islam and M. A. Masud ; Accepted in the proceedings of ICNST’ 19, Asian University for Women, Chittagong, Bangladesh..
5• Relation between demographic data and Photoplethysmography (PPG) signal features in estimating human health metrics; Moajjem Hossain Chowdhury, Md Nazmul Islam Shuzan, Muhammad E.H. Chowdhury, Zaid B Mahbub, M. Monir Uddin, 2nd International Conference on Applied Statistics, 25-27 December 2019.
6• Study of the Change of Conduction Velocity of Myelinated Nerves due to Stretching; Sabrina Sharmin, Zaid Bin Mahbub, M A Sayem Karal, M A Kadir, K S Rabbani, National Conference on Electronics and Informatics - 2019, 04-05 December, 2019.
7• Combined MRI and EMG study for peripheral neuropathy study in Bangladesh; Zaid Bin Mahbub, Sabrina Sharmin, Abu Sayem Karal, KS Rabbani, ISMRM Workshop on Accessible MRI for the World, 29-31 March 2019, New Delhi, India.
8• Effect of head bending on peripheral nerves observed using EMG & MRI technique; Sabrina Sharmin, Zaid Bin Mahbub, M A Sayem Karal, K S Rabbani, National conference on physics-7 - 9 February, 2019.
9• MRI and MR Fingerprinting how it works; Bangladesh Physical Society Conference, 7-9 February 2019, Department of Physics, University of Dhaka.
• Structure preserving model order reduction using the projection onto the dominant Eigen-space of the Gramian (PDEG) ; M. M. Uddin; in international conference on Electrical, Computer and Communication Engineering (ECCE ), IEEE, 2017, pp. 197--202, 2017.
• Efficient techniques to solve the periodic projected Lyapunov equations and model reduction of periodic systems ; M. Sahadat Hossain and M. M. Uddin; Mathematical Problems in Engineering, Vol. 2017, 2017, 11 pages.
• Structure preserving iterative methods for periodic projected Lyapunov equations and their application in model reduction of periodic descriptor systems; P. Benner, M. Sahadet Hossain; Numerical Algorithms (Springer), pp. 1-24, 2017, DOI 10.1007/s11075-017-0288-y.
• On [6,4] Error Correcting Codes over GF(7); P. Dey and Toyarak Rian; International Journal of Computer and Information Technology, Vol. 06, 2017, pp. 19-26
• Equivalence of Error-Correcting Quaterrnary [6,3] Self-Dual Codes ; Farzana K. Elora and P. Dey ; Journal of Information Science and Optimization, Vol. 38, 2017, pp. 585-601
• On Quinary Error-Correcting [6,4] Codes; P. Dey, A. K. Ghosh; Journal of DiscreteMathematical Sciences & Cryptography, Vol. 19 (2), pp. 405-411, 2016
• Large-Eddy Simulation of Pulsatile Flow through a Channel with Double Constrictions; M. M. Molla, M. C. Paul; Fluids, Vol 2017 (2), pp. 1-19 (2016).
• Prediction of Heat Transfer to Fully-Developed Pipe Flows with Modified Power-law Viscosity Model Fluid ; M. M. Molla, S. G. Moulic, L-S Yao; Journal of Mechanics, Vol. 1(1), pp.1-47, 2016.
• Lattice Boltzmann simulation of airflow and mixed convection in a general word of hospital ; T. A. Himika, M. F. Hasan, M. M. Molla; J. Engineering Computation, Vol. 2016, 15 pages, 2016.
• Natural convection flow of Nanofluid along a vertical wavy surface; F. Habiba, M. M. Molla, M. A. H. Khan; AIP Conf. Proc. 1754, 050018, 2016.
• Natural convection flow in porous enclosure with localized heating from below with heat flux ; M. N. A. Siddiki, M. M. Molla, S. C. Saha; AIP Conf. Proc. 1754, 050016 (2016).
• Natural convection of non-Newtonian fluid along a vertical thin cylinder using modified power-law model; S. Thohura, M. M. Molla, M. M. A. Sarker; AIP Conf. Proc. 1754, 040021, 2016.
• Large-eddy-simulation of air flow and heat transfer in general ward of hospital using lattice Boltzmann method; F. Hassan, T. Himika, M. M. Molla; AIP Conf. Proc. 1754, 050022 (2016)
• Model Reduction of Time-Varying Descriptor Systems:Numerical Methods, Algorithms, and Applications; Mohammad Sahadet Hossain; Publisher: Scholars' Press, Germany.ISBN: 978-3-659-84001-2
• Projection-Based Model Reduction for Time-Varying Descriptor Systems: New results; Mohammad-Sahadet Hossain; Numerical Algebra, Control and Optimization (NACO); Publisher-American Institute of Mathematical Sciences(AIMS), vol. 6(1), pp. 73-90, 2016.
• Structure preserving mor for large sparse second order index-1 systems and application to a mechatronic model ; P. Benner, J. Saak, and M. M. Uddin; Mathematical and Computer Modelling of Dynamical Systems, Vol. 22 (6), pp. 509-523, 2016.
• Balancing based model reduction for structured index 2 unstable descriptor systems with application to ow control ; P. Benner, J. Saak, and M. M. Uddin; Numerical Algebra, Control and Optimization (AIMS), Vol. 5(1), pp. 1-20, 2016.
• Reduced-order modeling of index-1 vibrational systems using interpolatory projections ; P. Benner, J. Saak, and M. M. Uddin; in 19th International Conference On Computer and Information Technology (ICCIT), IEEE. pp. 134-138, 2016.
• Rational Krylov subspace method (RKSM)for solving the Lyapunov equations of index-1 descriptor systems and application to balancing based model reduction ; M. M. Uddin, M. S. Hossain and M. F. Uddin; in 9th International Conference on Electrical and Computer Engineering, IEEE, pp. 451- 454, 2016.
• Parametric study on thermal performance of horizontal earth pipe cooling system in summer; S. F. Ahmed, M. T. O. Amanullah, M. M. K. Khan, M. G. Rasul, and N. M. S. Hassan; Energy Conversion and Management, vol. 114, pp. 324-337, 2016.
• Lax Pairs and Integrability Conditions of Higher-Order Nonlinear Schr ̈odinger Equations; M. Asad-uz-zaman, H. Chachou Samet, U. Al Khawaja; Communications in Theoretical Physics, Vol. 66(2), 2016.
Department of Mathematics and Physics (DMP) offers following twenty three (23) courses:
| Code | BUS112 |
| Credit hours | 0 |
| Course outline |
BUS_112.pdf
|
| Pre-requisites | High School Mathematics. |
| Course Content | Fundamentals of Algebra: Real Numbers, Fundamentals of Algebra: Exponents, Polynomials, Fundamentals of Algebra: Factoring, Rational expressions, Radicals, Linear equations, Formulas and Applications, Quadratic equations, Other types of Equations, Inequalities, Cartesian Co-ordinate systems, Graphing Relations, Functions, Linear Functions, Equations of a line, Symmetry, Algebra of Functions, Inverse Functions, Quadratic Functions, Synthetic Division, Exponential Functions, Logarithmic Functions, Equations on Exponential and Logarithmic functions, Systems of Equations, Systems of Inequalities; Linear Programming, Matrix Solution of Linear Systems, Properties of Matrices, Determinants, Cramer's rule, Matrix Inverse. |
| Code | MAT116 |
| Credit hours | 0 |
| Course outline | |
| Pre-requisites | High School Mathematics. |
| Course Content | Behavior of functions in some depth including properties, graphs, inverses, transformations, and compositions. This course pays particular attention to linear, quadratic, polynomial, rational, exponential, and logarithmic functions. It covers trigonometric functions and inverse trigonometric functions as well. |
| Code | MAT120 |
| Credit hours | 3 |
| Course outline | |
| Pre-requisites | MAT116. |
| Course Content | Tangent lines; limits and continuity; differentiation: definition, basic rules, chain rule, rules for trigonometric, inverse trigonometric, exponential and logarithmic functions; implicit differentiation; rates of change, related rates problems, linear approximation and differentials; L'Hospital's rule; concepts of local and absolute maximum and minimum including first and second derivative tests; integration: definition, anti-differentiation, area; integration by simple substitution; Fundamental Theorem of Calculus. |
| Code | MAT125 |
| Credit hours | 3 |
| Course outline | |
| Pre-requisites | MAT116 or an adequate test score. |
| Course Content | Homogeneous and Nonhomogeneous System of Linear Equations, Echelon form, Gaussian Elimination Method (unique, infinite numbers and no solutions)Properties of Determinants, Determinant by Cofactor Expansion, Evaluating Higher Order Determinants by Row Reduction, Cramer’s Rule .Matrices and Matrix Operations, Transpose, Properties of Transpose, Triangular, Symmetric and Skew Symmetric Matrices, Inverse, Properties of Invertible Matrices,Method of Finding the Inverse of a Matrix, Further Results on System of Linear Equations using Inverse Matrix Technique, Rank .Introduction to Vectors, Vector addition and Scalar multiplication, Norm of a vector, Dot Product, Projections, Euclidean n-Space, Real Vector Space, Subspace, Linear Combinations, Linear Dependence and Independence, Spanning Set, Basis, Dimensions, Solution Space, Null Space, Rank and Nullity. General Linear Transformation, Kernel and Image of Linear Mapping, Rank and Nullity of Linear Mapping. Eigenvalues and eigenvectors, Cayley Hamilton Theorem, Diagonalization.Geometric Linear Programming, Applications in Business and Economics. |
| Code | MAT130 |
| Credit hours | 3 |
| Course outline | |
| Pre-requisites | MAT120. |
| Course Content | Area between two curves, Length of plane curves, Area of surface of revolution, Volumes by slicing disks and washers, Volumes by cylindrical shells, Hyperbolic functions and hanging cables & Integrations. Integration by parts, Trigonometric integrals, Trigonometric substitutions, Integrating rational functions by partial fractions, Improper integrals.Polar coordinates, Area in polar coordinates, Tangent lines and arc length for parametric and polar curves, Conic sections in calculus. |
| Code | MAT240 |
| Credit hours | 3 |
| Course outline |
MAT_240.pdf |
| Pre-requisites | MAT130. |
| Course Content | Sequences, Monotone Sequences, Infinite Series, Convergence Test, The Comparison, Ratio, and Root Tests, Alternating Series; Conditional Convergence, Maclaurin and Taylor Polynomials, Maclaurin and Taylor Series; Power Series.Rectangular Coordinates in 3-Space; Spheres; Cylindrical Surfaces , Vectors, Dot Product; Projections, Cross Product, Parametric equations of lines, Planes in 3-space, Quadric Surfaces, Cylindrical and Spherical Coordinates.Introduction to Vector Valued Functions, Calculus of Vector Valued Functions, Change of Parameter; Arc length, Unit Tangent, Normal, and Binormal Vectors, Curvature. |
| Code | MAT250 |
| Credit hours | 3 |
| Course outline | |
| Pre-requisites | MAT130 |
| Course Content | Infinite Series, Vector Valued Functions, Functions of two variables, Limit and Continuity, Partial Derivatives. Differentiability and Chain Rule, Directional Derivatives and Gradients.Tangent Planes and Normal Vectors, Maxima and Minima of Functions of two variables, Double Integrals over rectangular regions, Double Integrals over non-rectangular regions. Double Integrals in Polar Coordinates, Triple Integrals, Centroid, Center of Gravity, Change of variables in Multiple Integrals; Jacobean. Triple Integrals,Vector fields and vector valued function, Line integrals, Green’s Theorem, Surface Integrals, The Divergence, Theorem, and Stokes Theorem. |
| Code | MAT350 |
| Credit hours | 3 |
| Course outline | |
| Pre-requisites | MAT250 |
| Course Content | Complex analysis, Fourier series and transforms, Laplace transforms and the solution of ordinary differential equations, in particular Bessel function and Legendre polynomials. |
| Code | MAT361 |
| Credit hours | 3 |
| Course outline | |
| Pre-requisites | MAT250 |
| Course Content | Basics of elementary probability theory; discrete and continuous random variables along with their probability distributions(cumulative distribution function; expected values and variance); special random variables: Bernoulli, binomial, geometric, negative binomial, Poisson, hyper-geometric, uniform, exponential and normal distributions);multivariate distributions(joint distributions; marginal and conditional distributions; covariance and correlation); descriptive statistics and sampling distribution of statistics;parameter estimation by moment and maximum likelihood method; comparing the performance of estimators using properties of unbiasedness, efficiency and minimum variance; confidence interval estimation for the mean and difference of two means; hypothesis testing on mean and difference of two means. |
| Code | MAT370 |
| Credit hours | 3 |
| Course outline |
MAT370.pdf |
| Pre-requisites | MAT250 |
| Course Content | The Real Numbers, Sequences, Limits, Continuity and Uniform Continuity of Real Variable Functions, Differentiation, The Sequences of Functions and their Convergence, The Riemann Integral, Fundamental Theorem of Real Calculus and its Proof, Complex Variable Functions, Limits and Continuity of Complex Functions, Derivative, Analyticity, Cauchy-Riemann Equations, Fundamental Theorem of Complex Calculus and its Proof. |
| Code | MAT480 |
| Credit hours | 3 |
| Course outline | |
| Pre-requisites | MAT250 |
| Course Content | Introduction to Differential Equations, First-order Differential Equations, Applications of first order Differential Equations, Linear Differential Equations of higher-order, Applications of second-order Differential Equations with variable coefficient, Systems of Linear Differential Equations. |
| Code | MAT485 |
| Credit hours | 3 |
| Course outline |
MAT_485.pdf |
| Pre-requisites | MAT250 |
| Course Content | Basic concepts of operation research, General methods for solving operation research models, decision making on operation research, Linear programming problem (LLP), Solution of LLP model, General Linear programming problem, Canonical and standard form of LLP with its characteristic, Simplex method, Associated cost vectors, Symmetric primal-dual and non-symmetric primal-dual problem, Formulation of standard primal and dual problem, Weak duality theorem, Fundamental theorem of duality, Balanced and unbalanced transportation problem, optimum solution and basic solution of the general transportation problem, Initial basic feasible solution to the transportation problem using NWC and VAM method, Network Scheduling, Network diagram for a project, Program evaluation and review technique, Critical path method of a project, Game theory. |
| Code | MAT490 |
| Credit hours | 3 |
| Course outline |
MAT_490.pdf |
| Pre-requisites | MAT250 |
| Course Content | Laplace Transform, Existence of Laplace Transform, Inverse Laplace Transform, Laplace Transform of Derivatives and Integrals, Shifting on the s-axis, Shifting on the t-axis, Differentiation and Integration of Laplace Transform, Convolution, Inverse Laplace Transform of partial Fractions, Inverse Laplace Transform of periodic Functions, Fourier Series FS for Functions of Period 2p or arbitrary period, Fourier Series for Even and odd Functions, Half-Range Fourier Expansion, Determination of Fourier Coefficients without Integration, Fourier Approximations and minimum square error, The Fast Fourier Transform, Complex Variable Functions, Limits and Continuity, Derivatives, Analyticity and Cauchy-Riemann Equations, Conformal Mapping, Relation between Analyticity and Coformality, Mobius and other Transformations, Complex Integrals, Cauchy Integral Formulae, Taylor’s Series, Singular Points, Laurent’s Series, Residues and Residue Theorem, Evaluation of Real Definite Integrals using Complex Integrals. |
| Code | MAT495 |
| Credit hours | 3 |
| Course outline |
MAT_495.pdf |
| Pre-requisites | MAT250 |
| Course Content | Sets and Equivalence Relations, Semigroups&Monoids, Free Semigroup& Free Monoid, Congruence Relations and Quotient Structures, Fundamental Theorem of Semigroup Homomorphism, Groups, Sn, Zn, Subgroups, Normal Subgroups, Generating Sets, Generators, Fundamental Theorem, Lagrange’s Theorem, Quotient Group, Cyclic Subgroups, Generating Sets, Generators, Fundamental Theorem of group Homomorphism, Rings and Ideals, Fundamental Theorem of Ring Homomorphism, Integral Domain, Principal Ideal Domain, Divisibility in Integral Domain, Unique Factorization Domain, Field, K [T]- the polynomials over a field K, K [t] as a Principal Ideal Domain and Unique Factorization Domain, Fundamental Theorem of Algebra, Ordered Sets and Lattices, Principle of Duality, Bounded Lattices, Distributive Lattices, Complemented Lattice. |
| Code | PHY105 |
| Credit hours | 3 |
| Course outline |
PHY_105.pdf |
| Pre-requisites | None |
| Course Content | Vectors, equations of motions, Newton’s laws, conservation laws of energy, linear momentum, Work-Energy theorem, extension of linear into rotational motion including the conservation laws, gravitation, simple harmonic motion, travelling waves, calorimetry, thermal equilibrium, 1st and 2nd laws of thermodynamics. |
| Code | PHY105L |
| Credit hours | 1 |
| Course outline |
PHY_105L.pdf |
| Pre-requisites | PHY105 |
| Course Content | Introduction to Measurements and Statistical Error, Force table, Atwood machine, Hook’s law, Mass-spring oscillation, Simple pendulum, Compound pendulum and Static equilibrium. |
| Code | PHY107 |
| Credit hours | 3 |
| Course outline | |
| Pre-requisites | MAT120 and Physics in HSC/A Level |
| Course Content | Vectors, equations of motions, Newton’s laws, conservation laws of energy, linear momentum, Work-Energy theorem, extension of linear into rotational motion including the conservation laws, gravitation, simple harmonic motion, travelling waves, calorimetry, thermal equilibrium, 1st and 2nd laws of thermodynamics. |
| Code | PHY107L |
| Credit hours | 1 |
| Course outline |
PHY_107L.pdf |
| Pre-requisites | PHY107 |
| Course Content | Introduction to Measurements and Statistical Error, Force table, Atwood machine, Hook’s law, Mass-spring oscillation, Simple pendulum, Compound pendulum and Static equilibrium. |
| Code | PHY108 |
| Credit hours | 3 |
| Course outline | |
| Pre-requisites | MAT130 and PHY107 |
| Course Content | Electricity and Magnetism: Coulomb’s Law,Electric field and Gauss’s Law, Potential, Capacitance field, Magnetic forces,Induced Electromotive force,AC circuit.Electric Field and Potential:- Conceptually, Electric Field and Potential:- Discrete System , Electric Field and Potential:- Continuous System, Electric Field and Potential:- Gauss’s Law, Capacitors and Capacitance, Dielectric, Ohm’s Law, Circuit Theory, Magnetic Force I, Magnetic Force II, Biot-Severt Law, Ampere’s Law, Inductance I, Inductance II, Alternating Fields and Current I, Alternating Fields and Current II, Maxwell’s Equation, Magnetic Properties of Matter. |
| Code | PHY108L |
| Credit hours | 1 |
| Course outline |
PHY_108L.pdf |
| Pre-requisites | PHY108 |
| Course Content | Introduction to electric equipment, Verification of Ohm’s law, Charging and Discharging of capacitor, Time constant of a Circuit with resistor and capacitor in series and Magnetic induction. |
| Code | BSC201 |
| Credit hours | 3 |
| Course outline |
BSC_201.pdf |
| Pre-requisites | None |
| Course Content | Representation of functions numerically, graphically and algebraically, linear, quadratic, polynomial, rational, root/power, piecewise-defined, exponential, logarithmic, trigonometric and inverse trigonometric functions. The algebraic structure and graph of a function, intercepts, domain, range, intervals on which the function is increasing, decreasing or constant, the vertex of a quadratic function, asymptotes. Concept of heat, temperature, laws of thermodynamics, and different types of thermal processes. The kinetic theory of gases, specific heat of ideal gases, Maxwell’s laws of equi-partition of energy and related problems. |
| Code | MAT140 |
| Credit hours | 3 |
| Course outline |
MAT_140.pdf |
| Pre-requisites | MAT230 |
| Course Content | Probability and the laws of probability. Conditional probability. Independence. Expectation. Discrete and continuous distributions. Point and interval estimation. Regression and Correlation. Illustrations from Engineering. |
| Code | MAT230 |
| Credit hours | 3 |
| Course outline |
MAT_230.pdf |
| Pre-requisites | MAT130 |
| Course Content | Linear Algebra: Definition of matrix. Algebra of matrices. Multiplication of matrices. Transpose of a matrix and inverse of matrix. Rank and elementary transformation of matrices. Solution of linear equation. Linear dependence and independence of vectors. Matrix polynomials. Determination of characteristic roots and vectors. Null space and nullity of matrix. Quadratic forms.Vector Analysis: Vectors: Scalar and vector products and associated geometrical interpretation. Vector field, gradient field, divergence and curl of a vector field, Line integral, Green’s theorem, Surface integral, Divergence theorem, Stokes’ theorem. |
| Code | MAT260 |
| Credit hours | 3 |
| Course outline |
MAT_260.pdf |
| Pre-requisites | MAT130 |
| Course Content | efinition of ordinary differential equation, Solution of first order ordinary differential Equations by various methods, Solution of second order ordinary differential equations with constant coefficients, Series solutions of ordinary differential equations by power series and Frobenius series, Solution of Bessel’s equation and Legendre’s equation. Definition of partial differential equations, Derivation of classical partial differential equations and their solutions. |
Department of Mathematics and Physics (DMP) is inviting applications to hire part-time lab officers for the upcoming Fall Semester.
Details can be found : Here
Department of Mathematics and Physics (DMP) at North South University (NSU) seeks applications for a position of a Guest Worker. Details can be found in the link:here
Department of Mathematics and Physics (DMP) is going to celebrate the International Pi-day on Thursday, 14th March, 2019. Pi is the ratio of the circumference of a circle to its diameter. It is symbolized by the Greek letter pi in the lower case (π). This is a fixed quantity, which is usually taken to be 3.14. The number of digits after the decimal is infinite and non-repeating.
This year DMP would like to celebrate the Pi-day on a larger scale. The celebration includes three contests mentioned below from 10am to 12pm on 14th March, 2019, followed by the prize and certificate giving ceremony from 2pm to 4pm in Audi 801.
Contests:
A contest for the students to memorize number of digits of pi after the decimal point
A contest to find the area of a circle using a ruler and string only
Pi Sketching Contest
We are expecting maximum 50 contestants chosen on the first come first serve basis. If you are interested in participating, please collect the registration from DMP main office or the following link.
Registration Form: pi_day_regform
Tasmia Rahman Shahidi, from the department of ECE and Tasfea from Civil and Environmental Engineering, respectively won the 4th and 7th position in the 2nd Women's Mathematics Olympiad 2018. The competition was organised in cooperation with Department of Mathematics, the University of Dhaka and Women’s Mathematics Olympiad Committee and A. F. Mujibur Rahman Foundation. 180 students from 20 different universities from all over the country participated. Honourable faculty members from the Department of Mathematics, University of Dhaka judged the event. The winner from NSU has praised their faculties for being supportive and to encourage them to participate in such activities. Ms Tasmia said 'Mathematics is one of her favourite subjects and Dr. Hasina Akhter, faculty of Mathematics department at NSU specially guided her for the event. Rather than testing students’ ability to recall facts, the competition was designed to test students’ mathematical creativity and their ability to formulate and defend their conclusions. Every student has some potential abilities and skills, participating in different competitions is one of the ways to hone the skills and take one to the next level.
The Department of Mathematics and Physics is one of the dynamic departments of North South University, which incorporates fundamental, experimental and mathematical study. We are committed to excellence in teaching and research. At present the department does not offer any major program, but it offers the mathematics and physics courses for all undergraduate students of different disciplines across the university. The department runs a 21 credit Mathematics minor to attract the most talented Engineering, Economics, and Business and Environmental sciences majors.
The strength of the department is grounded not only in the transmission of ideas and knowledge through quality teaching, but also in the cutting-edge research and scholarly achievements of our faculty members. Fifteen of our twenty four full-time faculty members are Ph.D. s from North America, Australia or Western Europe. The breadth of expertise of our faculty members covers almost the entire range of mathematics and physics, pure as well as applied. They are active in developing new ideas and results exploring the latest knowledge of mathematics and physics with modern computation skills profound to solve problems in the engineering and computational sciences, physical and biological sciences, economics and business.
The Department of Mathematics and Physics is located on the 10th floor of the SAC building of NSU. Currently we have full-time and part-time faculty members in our department. The part-time faculty members are from among the best faculty members of the reputed universities in Dhaka like Dhaka University, Bangladesh University of Engineering and Technology etc.
We have a plan to transform our department from present service position to a full-fledged Department of Mathematical Sciences, which among other things will offer a major in mathematics as well as a major in Physics. I believe, given our faculty strength, this transformation should be a piece of cake.
Dr. Md. Sahadet Hossain
Associate Professor & Chair
Department of Mathematics and Physics (DMP)
If you are interested to present your research works please contact via email : monir.uddin@northsouth.edu
Speaker: Dr. Shariful Islam, Assiatent Professor, Dept. of Mathematics and Physics, North South University.
Postal Address:
Department of Mathematics and Physics
North South University
Plot 15, Block B
Bashundhara,
Dhaka 1229
Bangladesh
PABX: +880 2 55668200 (Ex- 1561)
Fax: +880 2 55668202
Email: info_dmp@northsouth.edu
Website: http://www.northsouth.edu/academic/seps/dmp.html