Mathematical Analysis I

Mathematical Analysis

Code:
Semester:
Type:
Direction:

ICE-1001
1st
Compulsory

Course hours:
Instructors:

Links:

3 Lec – 2 T
Stavros Fatouros (Faculty)Konstantinos Barlas (Laboratory Technical Staff)

Description

Course content:

  • Differential Calculus: One variable functions, limits, derivatives and derivative analysis, applications
  • Integral Calculus: Definite and indefinite integrals, applications
  • Series: Convergence criteria, power series, Taylor and MacLaurin series
  • Differential equations: first rank differential equations
  • Multivariable calculus: partial derivatives, total differential, maxima and minima, multiple integrals
  • Introduction to MATLAB and FreeMat: Calculating polynomial elements, solving equations of any format and rank, calculating derivatives, integrals, series, differential equations and elements of linear algebra and vector analysis
  • Iterative methods: finding approximations, calculating derivatives, integrals, series and differential equations