Matematik Grubu

Math 111 Mathematics I (3-2)4 Functions, limits and continuity, derivatives, applications of derivatives, definite and indefinite integrals, area and volume as integrals,  the fundamental theorem of calculus, transcendental functions, indeterminate forms,  improper integrals, L’Hopital’s rule, parametric equations and polar coordinates.
Prerequisite: None

 

Math  121 Mathematics II (3-2)4 Techniques of  integration, improper integrals, infinite sequences and series, lines and planes in space, vector-valued functions,  functions of several variables and partial derivatives, multiple integrals, the line integral
Prerequisite: Math 111

 

Math  211 Linear Algebra (3-0)3 Matrices, systems of linear equations, determinants, the Euclidean space, vector spaces and subspaces, eigenvalues and egenvectors, diagonalization and quadratic forms, linear transformations.
Prerequisite: None

 

Math  221 Ordinary and Partial  Differential Equations  (4-0)4 First order equations and various applications. Higher order linear differential equations. Power series solutions: ordinary and regular singular points. The Laplace transform; solutions of initial value problems. Systems of linear differential equations; solutions by operator method and by Laplace transform. Introduction to Partial Differential equations: Separation of variables.
Prerequisite: Math 121

 

Math  222  Probability and Statistics (3-0)3  Topics in probability include discrete and continuous random variables, probability distributions, sums and functions of random variables.Topics in statistics include sample mean and variance, distributions, regression and hypothesis testing
Prerequisite: None


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