MCS 155 Calculus for Engineering – I (3 2 4) / 5 ECTS

Real numbers and the real line, intervals, absolute value, Equations and inequalities involving absolute value, Graphs of Quadratic Equations, circles, parabolas, shifting a graph, ellipses and hyperbolas. Functions, domain and range, graphs, even and odd functions, combining functions, composite functions, piecewise defined functions. Trigonometric functions, identities, graphs of trigonometric functions. Transcendental functions. Limits and Continuity. Limits at infinity and infinite limits. Differentiation, Applications of Derivatives, Integration, Applications of Definite Integral, Techniques of Integration, Improper Integrals