Mathematics ΙΙ

Learning Outcomes:

The scopus of the course is to introduce the students to basic concepts concerning Double Iintegrals, Triple integrals, Line Integrals (Integration Methods and Applications), Ordinary Differential Equations and Partial Differential Equations (Methods and Applications) which are necessary for all students of School of Engineering.

General Skills:
Search, analysis and synthesis of data and information,
Critical thinking
Promoting free, creative and inductive reasoning

Course Content:
Line Integral. Applications to Geometry and Physics. Surface Equations. Double Integral. Applications to Geometry and Physics.
Green’s Theorem. Triple Integral. Application to Geometry and Physics. Evaluation of a Flow of a Vector Map through a Surface. First Order Differential Equations. First Order Linear Differential Equations. Separable Differential Equations. Exact Differential Equations. Integrating Factors. Linear Differential Equations of Higher Order. Wronskian Determinant. Linear Differential Equations with Constant coefficients. Homogenous Linear Differential Equations. Nonhomogenous Linear Differential Equations. Method of Undetermined Coefficients. Method of Variation of Parameter. Systems of Differential Equations. Applications to Populations Problems, Physics, e.t.c.
Partial Differential Equations. Linear homogenous and nonhomogenous partial differential equations. Separation of variables. Initial and boundary value problems: The wave equation, The heat equation

Suggested Bibliography:  

1. General Mathematics, (Schaum’s Outline Series), F. Ayres, Translation S. Persides, X. Terzides, 1983, ISBN 07-0022653-X.
2. Exercises of Differential and Integral Calculus of Functions of Several Variables, B. Fragou, Ziti, ISBN 960-431-336-3.
3. Ordinary Differential Equations, M. Kesoglides, Ziti, ISBN 978-960-456-176-6.