Cognitive: the cognitive goals of the course are the students to obtain new knowledge and get acquainted with new principles of Mathematical Analysis of functions of several real variables which are utilized in all branches of Computer Science.
Skills: students understand in depth basic notions of Mathematical Analysis of functions of several real variables which are necessary in many procedures, implementations and applications of computational and communications systems.
Course Content (Syllabus)
-- Algebraic and geometric study of the plane and the space. Vectors, equations of lines and planes.
-- Functions of two or three variables. Partial derivatives and applications (gradient, optimization problems, series).
-- Maximum and Minimum Values. Lagrange Multipliers. Applications in computer science (e.g. maximization of Shannon Entropy).
-- Double and line Integrals with applications (simplified introduction).