COMPUTER ENGINEERING
Bachelor	TR-NQF-HE: Level 6	QF-EHEA: First Cycle	EQF-LLL: Level 6

Ders Genel Tanıtım Bilgileri

Course Code:

1410121006

Ders İsmi:

Calculus II

Ders Yarıyılı:

Spring

Ders Kredileri:

Theoretical	Practical	Credit	ECTS
4	0	4	6

Language of instruction:

Ders Koşulu:

Ders İş Deneyimini Gerektiriyor mu?:

Type of course:

Necessary

Course Level:

Bachelor

TR-NQF-HE:6. Master`s Degree

QF-EHEA:First Cycle

EQF-LLL:6. Master`s Degree

Mode of Delivery:

Face to face

Course Coordinator :

Dr.Öğr.Üyesi Recep DURANAY

Course Lecturer(s):

Dr.Öğr.Üyesi Recep DURANAY

Course Assistants:

Dersin Amaç ve İçeriği

Course Objectives:	The aim of this course is to enable students to comprehend subjects such as sequences, series, analytic geometry in three-dimensional space, limit in multivariable functions, partial derivatives, multiple integrals, and linear integrals of vector fields and be able to perform related calculations.
Course Content:	Applications of integrals; volumes of solids of rotation, arc length, areas of surfaces of rotation. Convergence in series. Convergence tests in series. Force, Taylor and Maclaurin series. Analytical geometry in three dimensional space. Multivariable functions, partial derivatives, extreme values. Double integrals.

Learning Outcomes

The students who have succeeded in this course;

Learning Outcomes

1 - Knowledge
Theoretical - Conceptual
2 - Skills
Cognitive - Practical
3 - Competences
Communication and Social Competence
Learning Competence
1) Knows the concepts of convergence in sequences and series and makes related calculations.
2) Knows the concepts of vectors, lines, planes and quadratic surfaces in three dimensional space and makes related calculations.
3) Knows the concept of double integral and some of its applications and makes related calculations.
Field Specific Competence
Competence to Work Independently and Take Responsibility

Ders Akış Planı

Week	Subject	Related Preparation
1)	Antiderivatives The Indefinite Integral Evaluating Sums The Basic Area Problem Some Area Calculation	R. A. Adams and C. Essex, Calculus, 7th Ed., Pearson (2010)
2)	The Definite Integral Properties of the Definite Integral The Fundamental Theorem of Calculus	R. A. Adams and C. Essex, Calculus, 7th Ed., Pearson (2010)
3)	The Method of Substitution Areas of Plane Regions Integration by Parts	R. A. Adams and C. Essex, Calculus, 7th Ed., Pearson (2010)
4)	Integrals of Rational Functions Inverse Substitutions	R. A. Adams and C. Essex, Calculus, 7th Ed., Pearson (2010)
5)	Improper Integrals Volumes by Slicing-Solids of Revolution	R. A. Adams and C. Essex, Calculus, 7th Ed., Pearson (2010)
6)	More Volumes by Slicing Arc Length and Surface Area	R. A. Adams and C. Essex, Calculus, 7th Ed., Pearson (2010)
7)	Sequences and Convergence Infinite Series	R. A. Adams and C. Essex, Calculus, 7th Ed., Pearson (2010)
8)	midterm	R. A. Adams and C. Essex, Calculus, 7th Ed., Pearson (2010)
9)	Convergence Tests for Positive Series Absolute and Conditional Convergence	R. A. Adams and C. Essex, Calculus, 7th Ed., Pearson (2010)
10)	Power Series Taylor and Maclaurin Series	R. A. Adams and C. Essex, Calculus, 7th Ed., Pearson (2010)
11)	Conics Parametric Curves Smooth Parametric Curves and Their Slopes	R. A. Adams and C. Essex, Calculus, 7th Ed., Pearson (2010)
12)	Polar Coordinates and Polar Curves Slopes, Areas, and Arc lengths for Polar Curves	R. A. Adams and C. Essex, Calculus, 7th Ed., Pearson (2010)
13)	Functions of Several Variables Limits and Continuity Partial Derivatives Higher-Order Derivatives	R. A. Adams and C. Essex, Calculus, 7th Ed., Pearson (2010)
14)	Double Integrals Iteration of Double Integrals in Cartesian Coordinates Improper Integrals and a Mean-Value Theorem Double Integrals in Polar Coordinates	R. A. Adams and C. Essex, Calculus, 7th Ed., Pearson (2010)
15)	Review for the final exam	-
16)	final	R. A. Adams and C. Essex, Calculus, 7th Ed., Pearson (2010)

Sources

Course Notes / Textbooks:	R. A. Adams and C. Essex, Calculus, 7th Ed., Pearson (2010)
References:	R. A. Adams and C. Essex, Calculus, 7th Ed., Pearson (2010)

Ders - Program Öğrenme Kazanım İlişkisi

Ders Öğrenme Kazanımları	1	2	3
Program Outcomes
1) PO 1.1) Sufficient knowledge in mathematics, science and computer engineering
2) PO 1.2) Ability to apply theoretical and applied knowledge in mathematics, science and computer engineering for modeling and solving engineering problems.
3) PO 2.1) Identifying complex engineering problems
4) PO 2.2) Defining complex engineering problems
5) PO 2.3) Formulating complex engineering problems
6) PO 2.4) Ability to solve complex engineering problems
7) PO 2.5) Ability to choose and apply appropriate analysis and modeling methods
8) PO 3.1) Ability to design a complex system, process, device or product to meet specific requirements under realistic constraints and conditions.
9) PO 3.2) Ability to apply modern design methods under realistic constraints and conditions for a complex system, process, device or product
10) PO 4.1) Developing modern techniques and tools necessary for the analysis and solution of complex problems encountered in engineering applications
11) PO 4.2) Ability to select and use modern techniques and tools necessary for the analysis and solution of complex problems encountered in engineering applications
12) PO 4.3) Ability to use information technologies effectively.
13) PO 5.1) Examination of complex engineering problems or discipline-specific research topics, designing experiments
14) PO 5.2) Examination of complex engineering problems or discipline-specific research topics, experimentation
15) PO 5.3 ) Analysis of complex engineering problems or discipline-specific research topics, data collection
16) PO 5.4) Analyzing the results of complex engineering problems or discipline-specific research topics
17) PO 5.5) Examining and interpreting complex engineering problems or discipline-specific research topics

Ders - Öğrenme Kazanımı İlişkisi

No Effect	1 Lowest	2 Low	3 Average	4 High	5 Highest

	Program Outcomes	Level of Contribution
1)	PO 1.1) Sufficient knowledge in mathematics, science and computer engineering
2)	PO 1.2) Ability to apply theoretical and applied knowledge in mathematics, science and computer engineering for modeling and solving engineering problems.
3)	PO 2.1) Identifying complex engineering problems	5
4)	PO 2.2) Defining complex engineering problems
5)	PO 2.3) Formulating complex engineering problems
6)	PO 2.4) Ability to solve complex engineering problems
7)	PO 2.5) Ability to choose and apply appropriate analysis and modeling methods
8)	PO 3.1) Ability to design a complex system, process, device or product to meet specific requirements under realistic constraints and conditions.
9)	PO 3.2) Ability to apply modern design methods under realistic constraints and conditions for a complex system, process, device or product
10)	PO 4.1) Developing modern techniques and tools necessary for the analysis and solution of complex problems encountered in engineering applications
11)	PO 4.2) Ability to select and use modern techniques and tools necessary for the analysis and solution of complex problems encountered in engineering applications
12)	PO 4.3) Ability to use information technologies effectively.
13)	PO 5.1) Examination of complex engineering problems or discipline-specific research topics, designing experiments
14)	PO 5.2) Examination of complex engineering problems or discipline-specific research topics, experimentation
15)	PO 5.3 ) Analysis of complex engineering problems or discipline-specific research topics, data collection
16)	PO 5.4) Analyzing the results of complex engineering problems or discipline-specific research topics
17)	PO 5.5) Examining and interpreting complex engineering problems or discipline-specific research topics

Öğrenme Etkinliği ve Öğretme Yöntemleri

Ölçme ve Değerlendirme Yöntemleri ve Kriterleri

Yazılı Sınav (Açık uçlu sorular, çoktan seçmeli, doğru yanlış, eşleştirme, boşluk doldurma, sıralama)
Homework
Uygulama

Assessment & Grading

Semester Requirements	Number of Activities	Level of Contribution
Quizzes	4	% 20
Midterms	1	% 30
Semester Final Exam	1	% 50
total		% 100
PERCENTAGE OF SEMESTER WORK		% 50
PERCENTAGE OF FINAL WORK		% 50
total		% 100

İş Yükü ve AKTS Kredisi Hesaplaması

Activities	Number of Activities	Duration (Hours)	Workload
Course Hours	14	4	56
Study Hours Out of Class	14	6	84
Homework Assignments	10	3	30
Midterms	1	2	2
Final	1	3	3
Total Workload			175