Course Information

Semester	Course Unit Code	Course Unit Title	T+P+L	Credit	Number of ECTS Credits	Last Updated Date
2	MAT 164	Mathematics II	3+2+0	4	7	24.08.2022

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:

No	Learning 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

Week	Topics	Study Materials	Materials
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
All	5	4
C1
C2
C3
C4
C5
C6

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