103101 Calculus (1) (3:3-0)
Functions of one variable. Limits and continuity. Differentiation and its applications. The Mean Value Theorem and its applications. Definite integral and the Fundamental Theorem of Calculus. Exponential functions, their derivatives and integrals. Logarithmic functions and their derivatives. Inverse functions. Inverse trigonometric functions and their derivatives. Hyperbolic functions.
103102 Calculus (2) (3:3-0)
L’Hopital’s Rule. Techniques of integration. Applications of the definite integral to volumes, areas, arc lengths and surface areas. Improper integrals. Infinite sequences and series. Power series. Algebra of matrices and determinants. Solving systems of linear equations using Gauss method and Cramer’s rule.
10320 Calculus (3) (3:3-0)
Conic sections. Parametric equations. Polar coordinates and graphs. Derivatives and integrals of functions in polar coordinates. Vectors and analytic geometry in space. Functions of several variables and partial differentiation. Multiple Integrals.
103211 Linear Algebra (3:3-0)
Systems of linear equations. Matrices and matrix inverses. Row echelon forms. Determinants and Cramer's rule. Vector spaces and subspaces. Basis and orthogonal basis. Linear transformations. Eigenvalues and eigenvectors.
103222 Differential Equations (3:3-0)
First order and first degree equations. The homogeneous differential equation with constant coefficients. The methods of undetermined coefficients, reduction of order and variation of parameters. Infinite series solutions. Laplace transforms.
103231 Principles of Statistics (3:3-0)
Introduction to Statistics, descriptive statistics, frequency tables, cumulative frequency, measures of centrality and variation, percentiles, Chebychevs inequality and Empirical Rules, Correlation and regression for bivariate data, introduction to probability, probability laws, counting rules, mutually exclusive events, conditional probability and independence of events. Discrete and continuous random variables, probability distributions, expected value and standard deviation of a random variable. Binomial probability distribution. Normal probability distribution. Sampling distributions and Central limit Theorem.
103250 Discrete Mathematics (3:3-0)
Propositional and Predicate Calculus: Propositions, truth tables, tautologies, fallacies, and quantifiers. Induction and recursion. Counting techniques: Permutations, combinations, and counting finite sets. Sets, relations, and functions. Graph theory: Paths, connected and weighted graphs, matrix representation, spanning trees and traversing graphs and trees.