Iğdır University Lifelong Learning Programme

Description of Individual Course Units

Course Unit Code	Course Unit Title	Type of Course Unit	Year of Study	Semester	Number of ECTS Credits
İNM-23-122	ADVANCED ENGINEERING MATHEMATICS	Elective	1	1	6

Level of Course Unit

Second Cycle

Objectives of the Course

To introduce engineering students to some important methods of applied mathematics before starting their thesis studies.

Name of Lecturer(s)

Learning Outcomes

1	Frobenious method to obtain solutions around regular singular points
2	Solve basic partial differential equations by applying decomposition method to variables
3	Solve non-homogeneous partial differential equations by opening them to characteristic functions

Mode of Delivery

Daytime Class

Prerequisites and co-requisities

None

Recommended Optional Programme Components

Course Contents

Determinant and inverse of a square matrix Solution of systems of linear equations, existence and uniqueness Characteristic value problem and functions of square matrices Ordinary differential equations Series of ordinary differential equations Bessel and Legendre equations and their functions Partial differential equations: classification, typical equations encountered in engineering and derivation Solutions of first order partial differential equations Solution methods of second order partial differential equations, decomposition method Separation method of variables Nonhomogeneous partial differential equations, Opening to characteristic functions Elliptic, Hyperbolic and Parabolic type partial differential equations Engineering applications

Weekly Detailed Course Contents

Week	Theoretical	Practice	Laboratory
1	Determinant and inverse of a square matrix
2	Solution of systems of linear equations, existence and uniqueness
3	Characteristic value problem and functions of square matrices
4	Ordinary differential equations
5	Series of ordinary differential equations
6	Bessel and Legendre equations and their functions
7	Partial differential equations: classification, typical equations encountered in engineering and derivation
8	Solutions of first order partial differential equations
9	Midterm
10	Solution methods of second order partial differential equations, decomposition method
11	Separation method of variables
12	Nonhomogeneous partial differential equations, Opening to characteristic functions
13	Elliptic, Hyperbolic and Parabolic type partial differential equations
14	Engineering applications

Recommended or Required Reading

Planned Learning Activities and Teaching Methods

Assessment Methods and Criteria

Term (or Year) Learning Activities	Quantity	Weight
Midterm Examination	1	100
SUM		100
End Of Term (or Year) Learning Activities	Quantity	Weight
Final Examination	1	100
SUM		100
Term (or Year) Learning Activities		40
End Of Term (or Year) Learning Activities		60
SUM		100

Language of Instruction

Work Placement(s)

Workload Calculation

Activities	Number	Time (hours)	Total Work Load (hours)
Midterm Examination	1	1	1
Final Examination	1	2	2
Attending Lectures	1	1	1
Problem Solving	1	1	1
Individual Study for Homework Problems	1	1	1
Individual Study for Mid term Examination	1	1	1
Individual Study for Final Examination	1	1	1
Homework	1	1	1
TOTAL WORKLOAD (hours)			9

Contribution of Learning Outcomes to Programme Outcomes

LO1

LO2

LO3

* Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High