East West University (EWU) is growing steadily upholding the sprits of its oath “Excellence in Education” in order to contribute to the development of the business and technological sectors of Bangladesh. Our programs are updated continuously by an independent academic council consisting of scholars from renowned academic institutions of the country and are based on curricula North American Universities. Our graduates are much sought after and employed by the corporate sectors of the country.
Dr. Zubair Hasan, Associate Professor in the Department of MPS, East West University and his interdisciplinary team have...
On July 17, 2025, Senior Lecturer Afsana Al Sharmin delivered a presentation at a colloquium hosted by the Department of...
The Department of Mathematical and Physical Sciences (MPS) at East West University hosted an engaging colloquium on July...
Dr. Md. Mahfuzul Haque, newly appointed Assistant Professor in Physics, delivered a presentation on his recent work on s...
Department of Mathematical and Physical Sciences hosted an orientation event on June 27, 2025, for newly enrolled studen...
The Department of Mathematical and Physical Sciences at East West University (EWU) welcomed the incoming class of the Ba...
Credits: 3
Prerequisite: None
Course Content
Set theory, De Morgan’s laws; Relations; Mathematical logic: Propositions, Basic logical operations, Truth tables, Tautologies and Contradictions or fallacy, Logical implication and equivalence, Algebra of propositions, Conditional and Biconditional Statements, Arguments, Quantifiers, Deductive reasoning, Methods of proof, Method of induction; Trigonometry: De Moivre’s theorem, Complex arguments, Hyperbolic functions; Inequalities: Weierstrass’s inequalities, Cauchy’s inequality, Tchebychef’s inequality, Cauchy-Schwartz’s inequality; Summation of finite series: Method of difference;Theory of equations, Synthetic division, Transformation of equations; Matrices and Determinants: types of matrices, rules of matrix arithmetic, elementary matrices and solution using Cramer's rule.
Credits: 3
Prerequisite: None
Course Content
Functions of single variable and their graphs, Limit, Continuity, Differentiability; Tangent lines and rate of change, Techniques of differentiation, L’ Hopital’s Rule and Indeterminate forms; Increasing, Decreasing functions and Concavity, Relative Extrema, Absolute Maxima and Minima, Rolle’s Theorem, Mean Value Theorem; Successive Differentiation and Leibnitz Theorem, Maclaurin’s and Taylor’s theorem; The indefinite integral, Principles of integral Evaluation, Riemann sums and the definite integral, The Fundamental theorem of Calculus; Area between two curves, length of a plane curve, volumes, area of a surface of revolution; Improper Integrals, Gamma and Beta functions.
Credits: 3
Prerequisite: MAT 112
Course Content
Functions of multivariable's; limit, continuity, Partial derivatives and Euler’s theorem on homogeneous functions; Parametric equations, Tangent lines and Arc length for parametric curves; Tangent planes and Normal vectors, Maxima and Minima of functions of two variables, Lagrange Multipliers; Calculus of vector valued functions: unit tangent, normal and bi-normal vectors, curvature, motion along a curve; Double integrals and iterated integrals; Triple integrals and iterated integrals; General multiple integrals, Change of variables in multiple integrals, Jacobians, differentiation under the integral sign; Differentiation of vectors, Gradient, Divergence and Curl and their physical meanings.
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