Course Information
SemesterCourse Unit CodeCourse Unit TitleT+P+LCreditNumber of ECTS CreditsLast Updated Date
4MMT250Mathematical Methods in Engineering3+2+04624.03.2026

 
Course Details
Language of Instruction Turkish
Level of Course Unit Bachelor's Degree
Department / Program Computer Engineering
Type of Program Formal Education
Type of Course Unit Compulsory
Course Delivery Method Face To Face
Objectives of the Course To aim in this course is to use mathematical methods in physics with confidence and master the techniques of solution and to achieve a deeper understanding of mathematical methods in physics.
Course Content Functions of Several Variables: The Method of Lagrange Multipliers, Gradient, Divergence, Rotation, Directional Derivatives, Fourier Series, Calculation of Fourier Coefficients, First Order Non Linear Differention Equation: Riccati Differential Equation, Langrange Differential Equation, Generalized Power Series Method: Frobenious Method, Partial Differential Equations: Classification, Separation into Variables
Course Methods and Techniques
Prerequisites and co-requisities None
Course Coordinator None
Name of Lecturers Asist Prof. Pegah MUTLU
Assistants None
Work Placement(s) No

Recommended or Required Reading
Resources Erwin Kreyszig, (2006),John Wiley & Sons, Inc. New York: Advanced Engineering Mathematics, 9th Edition
Stephenson, G., P.M. Radmore, (1990)Cambridge University Press: Advanced Mathematical Methods for Engineering and Science Students, Cambridge.
Peter V.O’Neil , The University of Alabama at Birmingham: Advanced Engineerimg Mathematics, 7th Edition.
Course Notes Lectures, Question-Answer, Problem Solving
Exams 1 Ara Sınav, 1 Final Sınavı

Course Category
Mathematics and Basic Sciences %100
Engineering %0
Engineering Design %0
Social Sciences %0
Education %0
Science %0
Health %0
Field %0

Planned Learning Activities and Teaching Methods
Activities are given in detail in the section of "Assessment Methods and Criteria" and "Workload Calculation"

Assessment Methods and Criteria
In-Term Studies Quantity Percentage
Mid-terms 1 % 40
Final examination 1 % 60
Total
2
% 100

 
ECTS Allocated Based on Student Workload
Activities Quantity Duration Total Work Load
Course Duration 14 3 42
Hours for off-the-c.r.stud 14 5 70
Mid-terms 1 2 2
Practice 14 2 28
Final examination 1 2 2
Total Work Load   Number of ECTS Credits 6 144

 
Course Learning Outcomes: Upon the successful completion of this course, students will be able to:
NoLearning Outcomes
1 Calculates directional derivatives in functions of Several Variables and solves extremum problems using the Lagrange multipliers method.
2 Calculates Gradient, Divergence, Rotation.
3 Learns the Fourier series expansion of a periodic function and calculates the Fourier coefficients.
4 Solve first order nonlinear differential equations linearly.
5 Finds the solution of differential equations using the Frobenuis method.
6 Learns partial differential equations. Solve partial differential equations by separation of variables.

 
Weekly Detailed Course Contents
WeekTopicsStudy MaterialsMaterials
1 Functions of Several Variables: The Method of Lagrange Multipliers
2 Functions of Several Variables: The Method of Lagrange Multipliers
3 Gradient, Divergence, Rotation
4 Directional Derivatives
5 Fourier series expansion
6 Calculation of Fourier Coefficients
7 Calculation of Fourier Coefficients
8 Midterm Exam
9 First Order Non Linear Differention Equation: Riccati Differential
10 First Order Non Linear Differention Equation: Lagrange Differential
11 Generalized Power Series Method: Frobenious Method
12 Generalized Power Series Method: Frobenious Method
13 Partial Differential Equations
14 Partial Differential Equations: Classification, Separation into Variables
15 Final Exam

 
Contribution of Learning Outcomes to Programme Outcomes
P1 P2 P3 P4 P5 P6 P7 P8 P9 P10 P11
All 5
C1 5
C2 5
C3 5
C4 5 3
C5 5 3
C6 5 3

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