FACULTY OF ENGINEERINGCIVIL ENGINEERING

ES202 MATHEMATICS FOR ENGINEERS

Course Code: 5610202
METU Credit (Theoretical-Laboratory hours/week): 3(3-0)
ECTS Credit: 5.0
Language of Instruction: English
Level of Study: Undergraduate
Course Coordinator: Prof.Dr. YAKUP CEVDET AKGÖZ
Offered Semester: Fall and Spring Semesters.
Prerequisite: Set 1: 2360120
Set 2: 2360152
Set 3: 2360158
One of the sets above should be completed before taking ES202 MATHEMATICS FOR ENGINEERS .

Course Objective

This course is mainly designed to give sophomore engineering studrnts fundamental concepts of vector spaces , vector calculus and linear algebra relevant to their fields.

Course Content

Vector spaces, matrices, systems of linear equations, linear transformations, change of basis, eigenvalue problems, quadratic forms and diagonalization. Vector calculus, line, surface, and volume integrals. Gradient, divergence, curl. Green, Gauss and Stokes´ theorems. Complex Numbers.


Learning Outcomes

At the end of the course ,students are expected to be able to use vector analysis and linear algebra to formulate analytical and numerical modelling of various engineering problems.Some examples are: 1)Structural mechanics and finite element method require a good knowledge of matrix algebra. 2)Eigenvalue analysis are needed in free vibration and stability analysis of structural systems,in determining principal stresses,in finding principal directions of the cross section of a beam. 3)Integral theorems(Green,Gauss,Stokes' theorems) are being used in fluid and solid mechanics. 4)Solution of system of linear equations is encountered in all of the branches of engineering analysis.etc.