<meta http-equiv="refresh" content="0; URL=noscript.html"> METU | Course Syllabus

### Course Learning Outcomes

Student, who passed the course satisfactorily will be able to:

• Formulate and use parametric and closed form representations of curves and surfaces in engineering/ mathematical problems

• Identify, formulate and use gradient, divergence and curl operations in solving engineering/mathematical problems

• Identify, formulate and solve engineering/mathematical problems involving line, surface, double, and triple integrals

• Identify, formulate and use integral theorems in solving engineering / mathematical problems

• Use basic matrix properties and operations for identifying solution characteristics of systems of linear algebraic equations

• Solve systems of linear algebraic equations analytically

• Identify, formulate and solve eigenvalue-eigenvector problems analytically
• Identify similarity of matrices and use it towards diagonalization of matrices

• Perform basic operations with complex numbers in both rectangular and polar forms

• Identify some basic complex functions and to use their properties

• Identify and formulate analyticity concept in mathematical/ engineering functions

• Identify the appropriate mathematical tool to be used for the solution of a given problem and formulate accordingly

• Follow a logical sequence of progression in solution, upon formulation of the problem

• Identify the relevance of learnt mathematical tools to the solution of a given engineering problem

• Use at least one computational tool in solving engineering/ mathematical problems that involve vector analysis, line/surface/volume integration, linear algebra and complex numbers

• Report analysis, solution and results in a logical sequence within a standard engineering format