Department of Mathematics
The Mathematics Department is located in the Kamayut Campuses and Ywathagyi Campuses of Yangon University of Economics. Professor Dr. MyintWai is the Head of Department.
His research is in Combinatorial Mathematics. Currently, the department of Mathematics being run with total teaching staff of fourteen: one professor (Head of Department), six lecturers, four assistant lecturers and three part-time tutors.
For the time being, the department of Mathematics, as a supporting department, offers the course on Business Mathematics, Applied Mathematics and Pure Mathematics to students who are specializing in respective academic disciplines like “commerce, accounting, business administration, statistics, population studies, economics, public administration and development studies”.
Yangon University of Economics
Department of Mathematics
Head of Department
Professor Dr. Myint Wai
Daw Khin Sabai Soe
Daw Kyi Kyi Pe
Daw Naing Naing Myint
Daw Than Than Myint
Dr. Yin Yin Nu
Dr. Zar Zar Oo
Daw Nandar Su Hlaing
Daw Cho Nwe Wai
Daw Zin Pa Pa Phyo
Daw Zin Myo Win
U Aung Thet Lwin
U Hein Ko Ko Zaw
Daw Aye Nandar Htet
Mathematical Logic - Statements and Logical Operators, Logical Equivalence, Tautologies, Contradictions, and Arguments ; Set and Counting – The Addition and Multiplication, Permutations and Combinations; Functions and Linear Models – Function and Models, Linear Functions and Models; Nonlinear Functions and Models – Quadratic Functions and Models, Exponential Functions and Models, Logarithmic Functions and Models; Introduction to the Derivative – Average Rate of Change, Derivatives: Numerical and Graphical Viewpoints, Algebraic Viewpoints; Techniques of Differentiation with Application – A First Application: Marginal Analysis, The Product and Quotient Rules, The Chain Rule; Further Application of the Derivative – Application of Maxima and Minima, The Second Derivative Test for Relative Extrema.
Matrix Algebra and Applications – Matrix Addition and Scalar Multiplication, Matrix Multiplication, Matrix Inversion, Input- Output Model; The Integral – The Indefinite Integral, Substitution, The Definite Integral: Algebraic Approach and the Fundamental Theorem of Calculus, Further Integration Techniques and Applications of the Integral, Integration by Parts, Area Between Two Curves and Applications, Differential Equations and Application; Functions of Several Variables – Partial Derivatives; Trigonometric Models – Trigonometric Functions, Models and Regression, Integrals of Trigonometric Functions and Applications.
Third Year & First Year Honours
Complex number and Analytic Functions; Complex Integrals; Linear Mappings; Series Solutions of ODEs; Fourier Analysis; Partial Differential Equations – Solution by Separating Variables Used of Fourier Series; D’Alembert Solution of the Wave Equations.
Fourth Year & Second Year Honours
Sets and Mapping – Sets, Mapping, Natural Number and Induction, Denumerable Sets; Fourier Analysis(Continued) – Fourier Integral, Fourier Cosine and Sine Transforms, Discrete and Fast Fourier Transforms, Tables of Transforms; System of Differential Equation - A Simple Mass-Spring System, Coupled Mass-Spring System, Systems of First Order Equations, Vector-Matrix Notation for Systems, The Need for a Theory, Existence, Uniqueness and Continuity, The Gronwall Inequality; Basic Properties of Linear Programs – Examples of Linear Programming Problems, Basic Solutions, The Fundametal Theorem of Linear Programming, Relations to Convexity; The Simplex Method – Pivots, Adjacent Extreme Points, Determining a Minimum Feasible Solution, Computational Procedure-Simplex Method, Artifical Variables, Matrix Form of the Simplex Method, The Revised Simplex Method, LU Decomposition; Determinant; Eigen Value, Eigen Vector.
Third Year Honours & M.Com (Q)
Euclidean Vector Spaces – Vector in 2-Spanace, 3-Spanace and n-Spanace, Norm, Dot Product and Distance in Rn, Orthogonality, The Geometry of Linear System, Cross Product; General Vector Spaces – Real Vector Space, Subspace, Linear Independence, Coordinates and Bases, Dimension, Change of Basis, Row Space, Colum Space and Null Space, Rank Nullity and the Fundamental Matrix Spaces, Basic Matrix Transformation in R2 and R3, Properties of Matrix Transformation, Geometry of Matrix Operators on R2; Inner Product Spaces – Inner Products, Angel and Orthogonality in Inner Product Spaces, Gram-Schmidth Process, Q-R, Q-R Decomposition, Best Approximation: Least Squares, Mathematical Modeling Using Least Squares, Function Approximation: Fourier Series; Diagonalization and Quadratic Forms – Orthogonal Matrices, Optimization Using Quadratic Forms, Quadratic Forms, Hermitian, Unitary and Normal Matrices; Set and Relation; Functions; Cardinality Order.
M. Econ( Economics) I
Laws of Algebra of Sets; Set Operations; Product Sets; Compositions of Relations; Equivalence Relations; Algebra of Real Value Functions; Equivalent Sets; Denumeriable Sets; Cardinality, Ordered Sets and Subsets; Applications of Zorn’s Lemma; Linear Programming – Simplex Method; Power of a Square Matrix, the Characteristics Equation, Cayley – Hamilton Theorem; Computation of eAt; Solution of Linear Differential Equations with Constant Coefficients by Matrix Method.
M. Econ( Statistics) I
Riemann Integration; Riemann Integral as a Limit of a Sum; Improper Riemann Integral ; The Lebesgue Integral for Bounded Functions; The Lebesgue Integral Defined on a Bounded Measurable Sets; Power of a Square Matrix, the Characteristics Equation, Cayley – Hamilton Theorem; Computation of eAt; Solution of Linear Differential Equations with Constant Coefficients by Matrix Method; Numerical Methods – Modified Euler Methods, Runnge – Kutta Method; Adams – Bashforth – Moulton Method; Eigen Value Problem; Sturm –Liouville Problems.