CSE110. Advanced Mathematics É (ects: 5)
Elements of vector calculus and analytic geometry. Linear algebra. Matrices. Determinants. Linear systems. Eigen values and eigenvectors. Orthogonal and symmetric matrices. quadratic forms. Applications. Principles of the functions. Functions of one real variable. Trigonometric, hyperbolic functions and reverse functions of them. Convergence and continuity of á function. Derivative, differential and applications. Maximum and minimum of a function. Study and graphics of a function. Indefinite integrals and integration methods. Definite integral and applications. Sequences and series of real numbers, convergence criteria. Series of functions. Series of powers (Taylor, Mac Lauren). Applications in the field of civil engineering and problem solving using computer programs