MAT5101 Engineering MathematicsBahçeşehir UniversityDegree Programs COMPUTER ENGINEERING (ENGLISH, NON-THESIS)General Information For StudentsDiploma SupplementErasmus Policy StatementNational QualificationsBologna Commission
COMPUTER ENGINEERING (ENGLISH, NON-THESIS)
Master TR-NQF-HE: Level 7 QF-EHEA: Second Cycle EQF-LLL: Level 7

Course Introduction and Application Information

Course Code Course Name Semester Theoretical Practical Credit ECTS
MAT5101 Engineering Mathematics Spring 3 0 3 8
This catalog is for information purposes. Course status is determined by the relevant department at the beginning of semester.

Basic information

Language of instruction: Turkish
Type of course: Departmental Elective
Course Level:
Mode of Delivery: Face to face
Course Coordinator : Prof. Dr. MESUT EROL SEZER
Course Lecturer(s): Dr. Öğr. Üyesi CAVİT FATİH KÜÇÜKTEZCAN
Recommended Optional Program Components: None
Course Objectives: To equip the student with advanced topics of vector calculus and complex calculus.

Learning Outcomes

The students who have succeeded in this course;
The student will be able to understand differences and similarities of fundamental mathematical concepts as they apply to functions of a single variable or several variables, and to apply concepts of advanced calculus and complex calculus to engineering problems

Course Content

Vector differential and integral calculus, and applications. Complex calculus and applications. Fourier series and Fourier transform.

Weekly Detailed Course Contents

Week Subject Related Preparation
1) Review of single-variable calculus.
2) Functions of several variables. Partial derivatives, differentials, implicit functions, Jacobian.
3) Vector functions. Gradient, divergence, curl and Laplacian. Directional derivative.
4) Maxima and minima, Lagrange multipliers.
5) Multiple integrals. Line integrals, Green's theorem.
6) Surface integrals, the divergence theorem, Stoke's theorem.
7) Cylindrical and spherical coordinates.
8) Applications of vector calculus.
9) Functions of a complex variable. Continuity and differentiation.
10) Complex integration. Cauchy's theorem and integral formula.
11) Taylor and Laurent series. Poles and residues.
12) Conformal mapping and applications.
13) Fourier series.
14) Fourier transform.

Sources

Course Notes / Textbooks:
References: 1. D. Bachman, Advanced Calculus Demystified, McGraw-Hill, 2007.
2. F. J. Flanigan, Complex Variables, Dover, 1983.

Evaluation System

Semester Requirements Number of Activities Level of Contribution
Attendance 15 % 15
Homework Assignments 5 % 15
Midterms 1 % 30
Final 1 % 40
Total % 100
PERCENTAGE OF SEMESTER WORK % 60
PERCENTAGE OF FINAL WORK % 40
Total % 100

ECTS / Workload Table

Activities Number of Activities Duration (Hours) Workload
Course Hours 14 3 42
Study Hours Out of Class 14 7 98
Homework Assignments 5 5 25
Midterms 1 10 10
Final 1 15 15
Total Workload 190

Contribution of Learning Outcomes to Programme Outcomes

No Effect 1 Lowest 2 Low 3 Average 4 High 5 Highest
           
Program Outcomes Level of Contribution
1) Define and manipulate advanced concepts of Computer Engineering
2) Use math, science, and modern engineering tools to formulate and solve advenced engineering problems
3) Notice, detect, formulate and solve new engineering problems.
4) Review the literature critically pertaining to his/her research projects, and connect the earlier literature to his/her own results
5) Follow, interpret and analyze scientific researches in the field of engineering and use the knowledge in his/her field of study
6) Work effectively in multi-disciplinary research teams
7) Acquire scientific knowledge
8) Find out new methods to improve his/her knowledge.
9) Effectively express his/her research ideas and findings both orally and in writing
10) Defend research outcomes at seminars and conferences.
11) Prepare master thesis and articles about thesis subject clearly on the basis of published documents, thesis, etc.
12) Demonstrate professional and ethical responsibility.
13) Develop awareness for new professional applications and ability to interpret them.