Electrical and Electronic Engineering (English) Preview
Bachelor	TR-NQF-HE: Level 6	QF-EHEA: First Cycle	EQF-LLL: Level 6

Course Introduction and Application Information

Course Code:

MATH109

Course Name:

Calculus 1

Semester:

Fall

Course Credits:

ECTS

Language of instruction:

English

Course Condition:

Does the Course Require Work Experience?:

Type of course:

Compulsory Courses

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:

Prof. Dr. ŞÜKRÜ YALÇINKAYA

Course Lecturer(s):

Prof. Nazım Ağaoğlu

Course Assistants:

Course Objective and Content

Course Objectives:	To teach the concepts of limit, continuity, derivative and integral in functions of one variable and to gain the ability to use these concepts in solving engineering problems.
Course Content:	Functions, graphs, limit, continuity, derivative definition, differentiation rules, chain rule, derivatives of implicit functions, applications of derivatives, definite integral, indefinite integral, applications of integral, transcendental functions.

Learning Outcomes

The students who have succeeded in this course;
1) Understands the concept of functions, some elementary functions and their properties.
2) Understands the concept of limit and continuity analytically and geometrically and is able to carry out limit calculations for some elementary functions.
3) Understands the concept of derivative together with its geometric meaning, calculates the derivative by using the main differentiation rules and applies the derivative on related problems.

Course Flow Plan

Week	Subject	Related Preparation
1)	Real numbers, the real line, some elementary functions and their graphs, trigonometric functions, composition of functions
2)	Limit of functions and limit laws, one-sided limits
3)	Limits at infinity and infinite limits, continuity, the Intermediate Value Theorem
4)	Tangent lines, the derivative of a function, differentials
5)	Differentiation rules, the chain rule
6)	Derivatives of trigonometric functions, higher order derivatives
7)	Inverse functions, exponential and logarithmic functions
8)	The inverse trigonometric functions, L’Hospital’s rule
10)	Implicit differentiation, The Mean Value Theorem and its applications
11)	Monotonic functions, extreme values, concavity
12)	Sketching graph of functions
13)	Optimisation problems

Sources

Course Notes / Textbooks:	Thomas, G.B. et al., Thomas’ Calculus, Pearson
References:	Lecture Notes

Course - Program Learning Outcome Relationship

Course Learning Outcomes	1	2	3
Program Outcomes
1) Has sufficient knowledge in mathematics and natural sciences.	3
2) Has sufficient knowledge in Electrical and Electronics engineering–specific subjects.
3) Has the ability to apply theoretical and practical knowledge of mathematics, natural sciences, and Electrical and Electronics engineering to solve complex engineering problems.
4) Has the ability to identify, formulate, and solve complex engineering problems, and to select and apply appropriate analysis and modeling methods for this purpose.
5) Has the ability to design complex systems, processes, devices, or products under realistic constraints and conditions to meet specific requirements, and to apply modern design methods for this purpose.
6) Has the ability to select and use modern techniques and tools required for the analysis and solution of complex engineering problems encountered in engineering practice, and to use information technologies effectively.
7) Has the ability to design and conduct experiments, collect data, analyze and interpret results for the investigation of complex engineering problems or Electrical and Electronics engineering–specific research topics.
8) Has the ability to work effectively in disciplinary teams.
9) Has the ability to work effectively in multidisciplinary teams.
10) Has the ability to work individually.
11) Has the ability to communicate effectively in oral and written form; has knowledge of at least one foreign language; writes effective reports, understands written reports, prepares design and production reports, makes effective presentations, and gives and receives clear and understandable instructions.
12) Has awareness of the necessity for lifelong learning; accesses information, follows developments in science and technology, and continuously renews oneself.
13) Acts in accordance with ethical principles; has knowledge of professional and ethical responsibilities and of the standards used in engineering practices.
14) Has knowledge of business practices such as project management, risk management, and change management.
15) Has awareness of entrepreneurship and innovation.
16) Has knowledge of sustainable development.
17) Has knowledge of the impacts of engineering practices on health, environment, and safety on a universal and societal scale, and awareness of contemporary issues reflected in the field of engineering.
18) Has awareness of the legal consequences of engineering solutions.

Course - Learning Outcome Relationship

No Effect	1 Lowest	2 Average	3 Highest

	Program Outcomes	Level of Contribution
1)	Has sufficient knowledge in mathematics and natural sciences.	3
2)	Has sufficient knowledge in Electrical and Electronics engineering–specific subjects.
3)	Has the ability to apply theoretical and practical knowledge of mathematics, natural sciences, and Electrical and Electronics engineering to solve complex engineering problems.
4)	Has the ability to identify, formulate, and solve complex engineering problems, and to select and apply appropriate analysis and modeling methods for this purpose.
5)	Has the ability to design complex systems, processes, devices, or products under realistic constraints and conditions to meet specific requirements, and to apply modern design methods for this purpose.
6)	Has the ability to select and use modern techniques and tools required for the analysis and solution of complex engineering problems encountered in engineering practice, and to use information technologies effectively.
7)	Has the ability to design and conduct experiments, collect data, analyze and interpret results for the investigation of complex engineering problems or Electrical and Electronics engineering–specific research topics.
8)	Has the ability to work effectively in disciplinary teams.
9)	Has the ability to work effectively in multidisciplinary teams.
10)	Has the ability to work individually.
11)	Has the ability to communicate effectively in oral and written form; has knowledge of at least one foreign language; writes effective reports, understands written reports, prepares design and production reports, makes effective presentations, and gives and receives clear and understandable instructions.
12)	Has awareness of the necessity for lifelong learning; accesses information, follows developments in science and technology, and continuously renews oneself.
13)	Acts in accordance with ethical principles; has knowledge of professional and ethical responsibilities and of the standards used in engineering practices.
14)	Has knowledge of business practices such as project management, risk management, and change management.
15)	Has awareness of entrepreneurship and innovation.
16)	Has knowledge of sustainable development.
17)	Has knowledge of the impacts of engineering practices on health, environment, and safety on a universal and societal scale, and awareness of contemporary issues reflected in the field of engineering.
18)	Has awareness of the legal consequences of engineering solutions.

Assessment & Grading

Değerlendirme Yöntemleri ve Kriterleri	Number of Activities	Level of Contribution
Midterms	1	% 40
Final	1	% 60
total		% 100

Workload and ECTS Credit Calculation

Activities	Number of Activities	Preparation for the Activity	Spent for the Activity Itself	Completing the Activity Requirements	Workload
Course Hours	13	0	3		39
Application	13	0	2		26
Study Hours Out of Class	13	0	3		39
Midterms	1	13	2		15
Final	1	23	2		25
Total Workload					144