Basic Definitions and Terminology: differential equation (de), classifications of de, formation and solution of a de and further terminology, Ordinary de (ode), des of the first order and first degree: variable separable, homogeneous equations, exact equations, linear equations, Linear Equations with constant coefficients: linear and nonlinear de, solution of linear de, 2nd order des, 2nd and higher order homogeneous des, Method of Variation of Parameter; Method of undetermined coefficients; System of Linear de: operator method matrices and system of linear first order equations, homogeneous linear systems, undetermined coefficients, variation of parameters, Solution by Series. Errors in Numerical Calculations: numbers and their accuracy, errors and their computation, a general error formula, error in a series approximation, Solution of Algebraic and Transcendental Equations: bisection, iteration, false position, Newton-Raphson methods, Interpolation: finite difference, forward, backward and central differences, Newton's formula for interpolation, Stirlings formula, Lagrange's interpolation formula, divided differences and their properties, Numerical Differentiation and Integration, Matrices and Linear Systems of Equations, Numerical Solution of Ordinary Differential Equations.
Course Catalogue
This course is designed to improve language in their personal career development. It mainly focuses on the skills of reading, writing, listening and speaking. Instruction is designed to assist students in developing comprehension, critical thinking skills, fluency in their expression and communication of ideas. It includes a basic rhetoric and compelling readings and gives full attention to grammar, punctuation, pronunciation, mechanics and usage.
This course is designed to provide a review of high school and college mathematics & statistics that will help students to develop their analytical ability. The goal of the course is to help students brush up their math skills. In this course, students will be exposed to equation-solving techniques, logarithm & exponential functions, the mathematics of finance & economics, introductory statistical concepts. The knowledge and skills that a student will acquire in this class will lay foundation for advanced quantitative courses and in their future business career.