# Department of Electrical and Electronics Engineering

Course Details

#### MAT 235 Engineering Mathematics I2020-2021 Fall term information

The course is open this term
Place Day Hours Supervisor(s): Mustafa Türkyılmazoğlu Online Monday 10:00 - 11:45 Online Wednesday 10:00 - 11:45
Place Day Hours Supervisor(s): Aslı Pekcan Yıldız Online Monday 10:00 - 11:45 Online Wednesday 10:00 - 11:45

Timing data are obtained using weekly schedule program tables. To make sure whether the course is cancelled or time-shifted for a specific week one should consult the supervisor and/or follow the announcements.

Course definition tables are extracted from the ECTS Course Catalog web site of Hacettepe University (http://akts.hacettepe.edu.tr) in real-time and displayed here. Please check the appropriate page on the original site against any technical problems. Course data last updated on 19/10/2020.

MAT235 - ENGINEERING MATHEMATICS I

Course Name Code Semester Theory
(hours/week)
Application
(hours/week)
Credit ECTS
ENGINEERING MATHEMATICS I MAT235 3rd Semester 4 0 4 5
Prerequisite(s)
Course languageEnglish
Course typeMust
Mode of DeliveryFace-to-Face
Learning and teaching strategiesLecture
Discussion
Drill and Practice
Problem Solving

Instructor (s)Instructors at the department of mathematics
Course objectiveThe aim of this course is to explain some basic concepts of Mathematics and show how to use these concepts in solving certain types of problems which might possibly be encountered in many branches of science and engineering.
Learning outcomes
1. A student defines some mathematical concepts which are essential in his/her field,
2. applies differential equations to engineering problems more effectively,
3. gains the skill of interpreting some interrelations among these concepts,
4. uses mathematical concepts in solving certain types of problems.
Course ContentDifferential equations and solutions
Linear algebra
Systems differential equations and solutions
Series solutions of differential equations

References1. Erwin Kreyszig, Advanced Engineering Mathematics, 9th Edition, Wiley, 2006.
2. W. E. Boyce and R. C. DiPrima, Elementary Differential Equations and Boundary-Value Problems, 9th Edition, Wiley, 2000.
3. F. B. Hildebrand, Advanced Calculus for Applications, 2nd Edition, Prentice-Hall, 1976.
4. S. L. Ross, Differential Equations, 3rd Edition, Wiley, 1984.
5. M. L. Boas, Mathematical Methods in the Physical Sciences, 3th Edition, Wiley, 2006.

Course outline weekly

WeeksTopics
Week 1First-order differential equations; Introduction, Basic concepts
Week 2Separable and Homogeneous differential equations, Modeling
Week 3Exact differential equations, Integrating factors
Week 4Second-order linear differential equations; Basic concepts
Week 5Linear independence,Wronskian, Theory of homogeneous differential equations
Week 6Midterm exam
Week 7Theory of nonhomogeneous differential equations; Undetermined coeffcients and Variation of parameters
Week 8Higher-order linear differential equations; Generalization of the theory introduced above
Week 9Linear Algebra and Matrix Theory; Vectors, Matrices, Operations with matrices
Week 10Solutions of linear systems AX = B, Cramer's rule
Week 11Midterm exam
Week 12Eigenvalues and eigenvectors, Orthogonal matrices, Diagonalization
Week 13Systems of differential equations
Week 14Series solutions of differential equations
Week 15Preparation for Final Exam
Week 16Final exam

Assesment methods

Course activitiesNumberPercentage
Attendance00
Laboratory00
Application00
Field activities00
Specific practical training00
Assignments00
Presentation00
Project00
Seminar00
Midterms250
Final exam150
Total100
Percentage of semester activities contributing grade succes250
Percentage of final exam contributing grade succes150
Total100

Activities Number Duration (hour) Total Work Load
Course Duration (x14) 14 4 56
Laboratory 0 0 0
Application000
Specific practical training000
Field activities000
Study Hours Out of Class (Preliminary work, reinforcement, ect)14570
Presentation / Seminar Preparation000
Project000
Homework assignment000
Midterms (Study duration)2714
Final Exam (Study duration) 11010

Matrix Of The Course Learning Outcomes Versus Program Outcomes

D.9. Key Learning OutcomesContrubition level*
12345
1. PO1. Possesses the theoretical and practical knowledge required in Electrical and Electronics Engineering discipline.     X
2. PO2. Utilizes his/her theoretical and practical knowledge in the fields of mathematics, science and electrical and electronics engineering towards finding engineering solutions.    X
3. PO3. Determines and defines a problem in electrical and electronics engineering, then models and solves it by applying the appropriate analytical or numerical methods.     X
4. PO4. Designs a system under realistic constraints using modern methods and tools.  X
5. PO5. Designs and performs an experiment, analyzes and interprets the results. X
6. PO6. Possesses the necessary qualifications to carry out interdisciplinary work either individually or as a team member. X
7. PO7. Accesses information, performs literature search, uses databases and other knowledge sources, follows developments in science and technology. X
8. PO8. Performs project planning and time management, plans his/her career development. X
9. PO9. Possesses an advanced level of expertise in computer hardware and software, is proficient in using information and communication technologies. X
10. PO10. Is competent in oral or written communication; has advanced command of English.  X
11. PO11. Has an awareness of his/her professional, ethical and social responsibilities. X
12. PO12. Has an awareness of the universal impacts and social consequences of engineering solutions and applications; is well-informed about modern-day problems. X
13. PO13. Is innovative and inquisitive; has a high level of professional self-esteem.  X

*1 Lowest, 2 Low, 3 Average, 4 High, 5 Highest