Course Details

Course Information

Semester	Course Unit Code	Course Unit Title	T+P+L	Credit	Number of ECTS Credits	Last Updated Date
2	MATH162	CALCULUS II FOR ELECTRICS AND ELECTRONICS ENGINEERING	3+2+0	5	7	15.05.2026

Course Details

Language of Instruction	English
Level of Course Unit	Bachelor's Degree
Department / Program	ELECTRICAL-ELECTRONICS ENGINEERING
Type of Program	Formal Education
Type of Course Unit	Compulsory
Course Delivery Method	Face To Face
Objectives of the Course	- Developing fundamental knowledge and skills to analyze the behavior of an infinite series and properties of a multi variable function in every aspect. - Constructing theoretical and conceptual understanding of multi variable calculus. - Developing the ability of using the notions and tools of basic mathematics to recognize and analyze a problem from real life/nature.
Course Content	Infinite sequences and series, vectors and geometry in space, parametric equations and polar coordinates, vector-valued functions and motion in space, functions of several variables, partial derivatives, multiple integrals.
Course Methods and Techniques	Whole our course will be offered in a face-to-face format. For asynchronous activities CANVAS will be used. We will use various tools for active learning to take place.
Prerequisites and co-requisities	( MATH161 )
Course Coordinator	None
Name of Lecturers	Associate Prof. Sergey Borisenok sergey.borisenok@agu.edu.tr
Assistants	None
Work Placement(s)	No

Recommended or Required Reading

Resources	“Calculus Early Transcendentals”, Howard Anton, Irl Bivens, Stephen Davis, 12th Ed., Wiley. “3000 Solved Problems in Calculus”, Elliot Mendelson, Schaum's Outline Series.
Course Notes	Canvas

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
Quiz/Küçük Sınav	10	% 30
Proje/Çizim	1	% 15
Final examination	2	% 55
Total	13	% 100

ECTS Allocated Based on Student Workload

Activities	Quantity	Duration	Total Work Load
Belirsiz	14	1	14
Tartışma	14	1	14
Yazılı Sınav	1	2	2
F2F Dersi	14	3	42
Ev Ödevi	14	4	56
Proje	1	35	35
Kısa Sınav	10	1	10
Okuma	14	1	14
Rapor	1	2	2
Ders dışı çalışma	14	1	14
Final Sınavı	1	2	2
Total Work Load			Number of ECTS Credits 7 205

Course Learning Outcomes: Upon the successful completion of this course, students will be able to:

No	Learning Outcomes
1	Students will be able to build conceptual understanding of essential mathematical tools such as taking limits, derivatives and integrals to study multi variable functions related to some particular physics concepts.
2	Students will be able to relate mathematical tools and notions to aspects of basic physics and use them in the computations of problems deduced from real life/nature.
3	Students will be able to offer solutions to real life problems by applying relevant computation and analysis techniques.

Weekly Detailed Course Contents

Week	Topics	Study Materials	Materials
1	Sequences, Infinite Series, Integral Test, Comparison Tests, The Ratio and Root Tests, Alternating Series, Absolute and Conditional Convergence, Power Series, Taylor and Maclaurin Series, Convergence of Taylor Series
2	Sequences, Infinite Series, Integral Test, Comparison Tests, The Ratio and Root Tests, Alternating Series, Absolute and Conditional Convergence, Power Series, Taylor and Maclaurin Series, Convergence of Taylor Series
3	Parametrizations of Plane Curves, Calculus with Parametric Curves, Polar Coordinates, Graphing in Polar Coordinates, Three-Dimensional Coordinate Systems, Vectors
4	Parametrizations of Plane Curves, Calculus with Parametric Curves, Polar Coordinates, Graphing in Polar Coordinates, Three-Dimensional Coordinate Systems, Vectors
5	The Dot Product, The Cross Product, Lines and Planes in Space, Cylinders and Quadric Surfaces, Curves in Space and Their Tangents, Integrals of Vector Functions, Arc Length in Space
6	The Dot Product, The Cross Product, Lines and Planes in Space, Cylinders and Quadric Surfaces, Curves in Space and Their Tangents, Integrals of Vector Functions, Arc Length in Space
7	Functions of Several Variables, Limits and Continuity in Higher Dimensions LO1, LO2, LO3
8	Functions of Several Variables, Limits and Continuity in Higher Dimensions
9	Directional Derivatives and Gradient Vectors, Tangent Planes and Differentials
10	Directional Derivatives and Gradient Vectors, Tangent Planes and Differentials
11	Extreme Values and Saddle Points, Lagrange Multipliers LO1, LO2, LO3
12	Extreme Values and Saddle Points, Lagrange Multipliers
13	Double Integrals in Polar Form, Triple Integrals in Rectangular Coordinates, Triple Integrals in Cylindrical and Spherical Coordinates, Substitutions in Multiple Integrals LO1, LO2, LO3
14	Double Integrals in Polar Form, Triple Integrals in Rectangular Coordinates, Triple Integrals in Cylindrical and Spherical Coordinates, Substitutions in Multiple Integrals LO1, LO2, LO3

Contribution of Learning Outcomes to Programme Outcomes

	P1	P2	P3	P4	P5	P6	P7	P8	P9	P10	P11	P12
All	5	4	5	4	4	2	1	3	2	3	5	3
C1	5	2	4	2	2	2	1	1	1	1	4	2
C2	5	4	5	4	5	2	1	3	2	3	5	4
C3	5	5	5	4	5	2	2	4	3	4	5	3

Contribution: 1: Very Slight 2:Slight 3:Moderate 4:Significant 5:Very Significant

https://sis.agu.edu.tr/oibs/bologna/progCourseDetails.aspx?curCourse=79035&lang=en

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