TROY UNIVERSITY

Department of Mathematics and Statistics

Wijekularathna

Dr.Danush K. Wijekularathna

Assistant Professor @ TROY

TROYT

"By a small sample
we may judge
of the whole piece."
-Miguel de Cervantes

My Menu
Home Publications Research Teaching Resources Gallery Contact Download CV

Teaching

Teaching has been an excellent opportunity for me to share my knowledge and experience with students. I find it exciting to learn how things work a certain way and enjoy sharing my excitement with my students and colleagues. My goal in teaching has been for every student to gain a higher-level understanding of the necessary knowledge, skills, and dispositions taught in each course to allow them to transfer that knowledge to new situations. I have tried to show students how this knowledge will empower them by helping them to make informed decisions.

Currrent Teaching

  • STAT4452/5552

    Mathematical Statistics I

    Probability theory, sample spaces, random variables, mutual exclusion, independence, conditional probability, permutations and combinations, common discrete and continuous distributions, expected value, mean, variance, multivariate distributions, covariance, Central Limit Theorem. Prerequisite: MTH 1125 and STAT 2210.

  • STAT2210

    Introductory Statistics

    A beginning course in statistics intended for students in a wide variety of fields of study. Course topics include descriptive statistics, normal distribution, correlation and regression, basic concepts of probability, binomial distribution, sampling distribution, confidence intervals and hypothesis testing for mean(s) and proportion(s). Students also have the opportunity to analyze data sets using Statistics software. Prerequisite: A grade of C or better in MTH 1112.

  • MTH 2227

    Calculus III

    Topics include vector functions, multi-variable functions, partial derivatives and their applications, quadric surfaces, multiple integrals, and vector calculus, including Green’s theorem, curl, divergence, surface integrals, and Stoke’s theorem. Prerequisite: MTH 1126.

Teaching History

  • STAT4459

    Regression Analysis

    Topics include simple linear regression, inferences in regression analysis, techniques of multiple regression and model building, ANOVA as regression analysis, analysis of covariance, model selection and diagnostic checking techniques, nonlinear regression, and logistic regression. Computations are an integral part of the course and will involve the use of SAS and R statistical software. Prerequisite: STAT 4451.

  • STAT4452/5552

    Mathematical Statistics II

    Fundamentals of the theory of statistics, the Central Limit Theorem, point estimation, sufficiency, consistency, hypothesis testing, sampling distributions, confidence intervals, linear regression models, interpretation of experimental results, Bayesian Estimation. Prerequisite: STAT 4451.

  • STAT4456

    Mathematics of Finance

    The fundamental concepts of financial mathematics and how these concepts are applied in calculating present and accumulated values for various streams of cash flows as a basis for future use in the following: reserving, valuation, pricing, asset/ liability management, investment income, capital budgeting, and valuing contingent flows. Prerequisite: MTH 4451.

  • STAT3350

    Statistical Methods and Computations

    This course is designed to provide students with a foundation in statistical methods, including data exploring and strategies in sample surveys, estimation and testing hypotheses of means and variances, analysis of variance, regression analysis, contingency tables. These concepts are taught with heavy emphasis on statistical computing software and real world datasets. Students will learn basic skills of SAS, a statistical software package that is widely used in business, industry, government, and research. Prerequisite: MTH 2210.

  • MTH4436/5536

    Number Theory

    Divisibility, congruencies, prime numbers, Fermat’s theorem, Diophantine equations, number theoretic functions. Prerequisites: MTH 2227, 3318.

  • MTH3364

    Vector Calculus

    Differentiation in several variables. Line and surface integrals. Potential theory and differential Prerequisite: MTH 2227.

  • MTH2201

    Calculus and its Applications

    An introduction to the basic ideas and techniques of differential and integral calculus, especially as they relate to problems involving maximum and minimum values of functions and marginal analysis. Prerequisite: MTH 1112 or 1114 with a grade of C or better, or advanced placement.

  • MTH1125

    Calculus I

    Topics include limits of functions, derivatives of algebraic, trigonometric, exponential and logarithmic functions and their inverses and the definite integral and its application to area problems. Applications of the derivative including maximum and minimum problems, and curve sketching using calculus. Prerequisite: A grade of C or better in MTH 1114 or advanced placement.

  • MTH1126

    Calculus II

    Applications of integration (such as volume, arc length, work, and average value), techniques of integration, indeterminate forms, infinite series, polar coordinates, and parametric equations. Prerequisite: MTH 1125.

  • MTH1112

    Pre-Calculus Algebra

    Topics include the algebra of functions, including polynomial, rational, exponential, and logarithmic functions. The course also contains systems of equations and inequalities, linear and quadratic equations and inequalities, graphs of polynomials, and the binomial theorem. Prerequisite: appropriate score on mathematics placement test, advanced placement, or a grade of C or better in MTH 1105.

  • MTH1110

    Finite Mathematics

    Topics include a survey of logic, sets, counting, permutations, combinations, basic probability, an introduction to statistics, and matrices and their applications to graph theory. Prerequisite: appropriate score on mathematics placement test, advanced placement, or a grade of C or better in MTH 1105.

  • MTH1105

    Intermediate Algebra

    Developmental / remedial instruction including real and complex numbers; polynomials and factoring; rational exponents; roots and radicals; linear equations and inequalities; quadratic equations; and graphing. Prerequisite: placement or a grade of C or better in MTH 1100.