1. Semester · Required · 5+0+0 · 7 ECTS
Real-Valued Functions / Classification of Functions / Domains of Functions / Concepts of Limit and Continuity in Real-Valued Functions / Derivative and Differentiation Rules / Mean Value Theorem / Generalized Mean Value Theorem / Rolle's Theorem / Applications of Derivatives and Curve Drawings / Curve Drawing in Parametric and Polar Form / Differential and approximate calculus / Linear Approximation function / Maximum-Minimum problems / Sigma (Sum) symbol and its properties / Basic field problem and Riemann Sums (Basic field problem for plane regions / Lower and Upper Riemann Sums, General Riemann sum) / Definition of definite integral and its properties / Field expression with Riemann sum / Integral Mean Value theorem and mean value of the function / Derivative under the integral sign
End-of-term exam
