Course Information
SemesterCourse Unit CodeCourse Unit TitleT+P+LCreditNumber of ECTS CreditsLast Updated Date
2MAT 164Mathematics II3+2+04724.08.2022

 
Course Details
Language of Instruction English
Level of Course Unit Bachelor's Degree
Department / Program Electrical and Electronics Engineering
Type of Program Formal Education
Type of Course Unit Compulsory
Course Delivery Method Face To Face
Objectives of the Course To provide students with mathematical skills related to their fields.
Course Content Indefinite integral, definite integral, applications of integral, multivariable functions
Course Methods and Techniques
Prerequisites and co-requisities None
Course Coordinator Instructor Levent KARGIN
Name of Lecturers Associate Prof.Dr. GÜLTEKİN SOYLU
Assistants None
Work Placement(s) No

Recommended or Required Reading
Resources 1-Finney, R.L., Thomas’s Calculus, Boston: Pearson Addison Wesley, 2001, Genel
2-Matematik, Mustafa Balcı, Balcı Yayınları, 1999.
3-Genel Matematik I- II Prof. H.Arıkan, Yrd.Doç.Dr. İ.Özgür, Yrd.Doç.Dr. Ö.F. Gözükızı

Course Category
Mathematics and Basic Sciences %50
Engineering %30
Engineering Design %10
Science %10

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 % 30
Assignment 3 % 20
Final examination 1 % 50
Total
5
% 100

 
ECTS Allocated Based on Student Workload
Activities Quantity Duration Total Work Load
Course Duration 14 4 56
Hours for off-the-c.r.stud 14 4 56
Assignments 1 20 20
Mid-terms 2 15 30
Final examination 1 15 15
Total Work Load   Number of ECTS Credits 6 177

 
Course Learning Outcomes: Upon the successful completion of this course, students will be able to:
NoLearning Outcomes
1 To introduce concept of integration
2 To teach the technique of integration
3 To relate definite and indefinite integral
4 To learn the fundamental theorem of calculus
5 To apply the integral to engineering
6 To teach improper integrals

 
Weekly Detailed Course Contents
WeekTopicsStudy MaterialsMaterials
1 Indefinite integral, principles of indefinite integral, method of change of variable, method of integration by part. 
2 Taylor and Maclaurin Series. Newton’, s method. Elements of the analytic geometry
3 Second degree curves. Area of surface of revolution
4 Volume of a solid of revolution.
5 Vectors in the plane. The Dot Product. Vector functions
6 Velocity and the unit tangent vector.
7 The unit normal vector, curvature and acceleration. Vectors in space. Cross Product. Space curves.
8 Vector functions in space. Functions of several variables. Limit and continuity.
9 Partial derivatives and differentiability. The Chain Rule. Directional derivative and gradient.
10 Extremal problems. Double integrals
11 Triple integrals. Line integrals.
12 Fundamental theorem of line integrals. Surface integrals
13 Green’, s Theorem. Change of variables in multiple integrals.
14 The Divergence Theorem. The Stokes Theorem. Elementary PDE’, s.
 

 
Contribution of Learning Outcomes to Programme Outcomes
P1 P2 P3 P4 P5 P6 P7 P8 P9 P10 P11
All 5 4
C1
C2
C3
C4
C5
C6

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