# Department of Electrical and Electronics Engineering

Course Details

#### MAT235 - Engineering Mathematics I

2022-2023 Spring term information
The course is not open this term
MAT235 - Engineering Mathematics I
 Program Theoretýcal hours Practical hours Local credit ECTS credit Undergraduate 4 0 4 5
 Obligation : Must Prerequisite courses : MAT124 Concurrent courses : - Delivery modes : Face-to-Face Learning and teaching strategies : Lecture, Discussion, Question and Answer, Drill and Practice, Problem Solving Course objective : The 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 : A student defines some mathematical concepts which are essential in his/her field, applies differential equations to engineering problems more effectively, gains the skill of interpreting some interrelations among these concepts, uses mathematical concepts in solving certain types of problems. Course content : Differential equations and solutions Linear algebra Systems differential equations and solutions Series solutions of differential equations References : 1. 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
Weeks Topics
1 First-order differential equations, Introduction, Basic concepts
2 Separable and Homogeneous differential equations, Modeling
3 Exact differential equations, Integrating factors
4 Second-order linear differential equations, Basic concepts
5 Linear independence,Wronskian, Theory of homogeneous differential equations
6 Midterm exam
7 Theory of nonhomogeneous differential equations, Undetermined coeffcients and Variation of parameters
8 Higher-order linear differential equations, Generalization of the theory introduced above
9 Linear Algebra and Matrix Theory, Vectors, Matrices, Operations with matrices
10 Solutions of linear systems AX = B, Cramer's rule
11 Midterm exam
12 Eigenvalues and eigenvectors, Orthogonal matrices, Diagonalization
13 Systems of differential equations
14 Series solutions of differential equations
15 Preparation for Final Exam
16 Final exam
Assessment Methods
Course activities Number Percentage
Attendance 0 0
Laboratory 0 0
Application 0 0
Field activities 0 0
Specific practical training 0 0
Assignments 0 0
Presentation 0 0
Project 0 0
Seminar 0 0
Quiz 0 0
Midterms 2 50
Final exam 1 50
Total 100
Percentage of semester activities contributing grade success 50
Percentage of final exam contributing grade success 50
Total 100
Course activities Number Duration (hours) Total workload
Course Duration 14 4 56
Laboratory 0 0 0
Application 0 0 0
Specific practical training 0 0 0
Field activities 0 0 0
Study Hours Out of Class (Preliminary work, reinforcement, etc.) 14 5 70
Presentation / Seminar Preparation 0 0 0
Project 0 0 0
Homework assignment 0 0 0
Quiz 0 0 0
Midterms (Study Duration) 2 7 14
Final Exam (Study duration) 1 10 10
Matrix Of The Course Learning Outcomes Versus Program Outcomes
Key learning outcomes Contribution level
1 2 3 4 5
1. Possesses the theoretical and practical knowledge required in Electrical and Electronics Engineering discipline.
2. Utilizes his/her theoretical and practical knowledge in the fields of mathematics, science and electrical and electronics engineering towards finding engineering solutions.
3. Determines and defines a problem in electrical and electronics engineering, then models and solves it by applying the appropriate analytical or numerical methods.
4. Designs a system under realistic constraints using modern methods and tools.
5. Designs and performs an experiment, analyzes and interprets the results.
6. Possesses the necessary qualifications to carry out interdisciplinary work either individually or as a team member.
7. Accesses information, performs literature search, uses databases and other knowledge sources, follows developments in science and technology.
8. Performs project planning and time management, plans his/her career development.
9. Possesses an advanced level of expertise in computer hardware and software, is proficient in using information and communication technologies.
10. Is competent in oral or written communication; has advanced command of English.
11. Has an awareness of his/her professional, ethical and social responsibilities.
12. Has an awareness of the universal impacts and social consequences of engineering solutions and applications; is well-informed about modern-day problems.
13. Is innovative and inquisitive; has a high level of professional self-esteem.
1: Lowest, 2: Low, 3: Average, 4: High, 5: Highest