Industrial Engineering (English)
Bachelor	TR-NQF-HE: Level 6	QF-EHEA: First Cycle	EQF-LLL: Level 6

General course introduction information

Course Code:

MATH113

Course Name:

Mathematics I

Course Semester:

Fall

Course Credits:

Theoretical	Practical	Credit	ECTS
3	2	4	6

Language of instruction:

Course Requisites:

Does the Course Require Work Experience?:

Type of course:

Compulsory

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 MESERET TUBA GÜLPINAR

Course Lecturer(s):

Course Assistants:

Course Objective and Content

Course Objectives:	The aim of this course is to teach the basic definitions and theorems of the limits, limit rules, continuity, derivatives, differentiation rules, chain rule, closed derivatives, maximum-minimum problems, curve drawing, applied optimization problems, integrals, Riemann sums, definite integrals, curves, transcendental functions and to gain the ability to solve the related problems.
Course Content:	This course will investigate limits, rules of limits, continuity, derivatives, differentiation rules, chain rule, implicit differentiation, maximum-minimum problems, curve sketching, applied optimization problems, integration, Riemann sums, definite integrals, area between curves, volumes of revolution, transcendental functions.

Learning Outcomes

The students who have succeeded in this course;

Learning Outcomes

1 - Knowledge
Theoretical - Conceptual
1) Able to give a mathematical proof for the existence of limits and continuity of functions at specified points and calculate the limits of functions and determine their asymptotes using the limit laws and determine the points where a function is continuous.
2) Able to use the mathematical definition of the derivative to derive the rules of differentiation, apply these basic rules, chain rule and implicit differentiation to calculate the derivatives of varies functions.
3) Able to determine the intervals where the function is decreasing and increasing, determine the points where it has local extremum values, and inflection points and then sketch graphs of functions. Calculate the linear estimates of functions.
4) Able to calculate indefinite integrals by using basic rules of integration and substitution. Write the expression of the fundamental theorem of calculus and apply it for evaluating definite integrals and derivatives of integrals with variable limits of integration and calculate the area between curves.
5) Able to calculate the volumes of solid objects by using cross sections, volumes of objects obtained by revolving the areas between curves about varies axes, the arc length of curves and the surface areas of surfaces obtained by revolving the curves around varies axes.
6) Able to find the analytical expressions for inverse functions where it is possible or use graphical methods to determine the behavior of inverse functions. Calculate the derivatives of inverse functions and transcendental functions and use them in evaluating definite and indefinite integrals.
2 - Skills
Cognitive - Practical
3 - Competences
Communication and Social Competence
Learning Competence
Field Specific Competence
Competence to Work Independently and Take Responsibility

Lesson Plan

Week	Subject	Related Preparation
1)	Functions	Lecture Notes
2)	Limits and Continuity	Lecture Notes
3)	Limits and Continuity	Lecture Notes
4)	Differentiation	Lecture Notes
5)	Differentiation	Lecture Notes
6)	Differentiation	Lecture Notes
7)	Applications of Derivatives	Lecture Notes
8)	Applications of Derivatives	Lecture Notes
9)
10)	Integration	Lecture Notes
11)	Integration	Lecture notes
12)	Applications of Definite Integrals	Lecture Notes
13)	Transcendental Functions	Lecture Notes
14)	Transcendental Functions	Lecture Notes

Sources

Course Notes / Textbooks:	Thomas’ Calculus, 13th Edition in SI Units George B. Thomas, Maurice D. Weir, Joel R. Hass Pearson Education Inc.
References:	A Complete Course Calculus, 8th Edition. Robert A. Adams, Christopher Essex Pearson Canada Inc. ISBN 978: 0321781079

Course-Program Learning Outcome Relationship

Learning Outcomes	1	2	3	4	5	6
Program Outcomes
1) Adequate knowledge in mathematics, science and engineering subjects pertaining to the relevant discipline; ability to use theoretical and applied information in these areas to model and solve engineering problems.
2) Ability to identify, formulate, and solve complex engineering problems; ability to select and apply proper analysis and modelling methods for this purpose.
3) Ability to design a complex system, process, device or product under realistic constraints and conditions, in such a way so as to meet the desired result; ability to apply modern design methods for this purpose. (Realistic constraints and conditions may include factors such as economic and environmental issues, sustainability, manufacturability, ethics, health, safety issues, and social and political issues according to the nature of the design.)
4) Ability to devise, select, and use modern techniques and tools needed for engineering practice; ability to employ information technologies effectively.
5) Ability to design and conduct experiments, gather data, analyse and interpret results for investigating engineering problems.
6) Ability to work efficiently in intra-disciplinary and multi-disciplinary teams; ability to work individually.
7) Ability to communicate effectively i Turkish, both orally and in writing; knowledge of a minimum of one foreign language.
8) Recognition of the need for lifelong learning; ability to access information, to follow developments in science and technology, and to continue to educate him/herself.
9) Awareness of professional and ethical responsibility.
10) Information about business life practices such as project management, risk management, and change management; awareness of entrepreneurship, innovation, and sustainable development.
11) Knowledge about contemporary issues and the global and societal effects of engineering practices on health, environment, and safety; awareness of the legal consequences of engineering solutions.

Course - Learning Outcome Relationship

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

	Program Outcomes	Level of Contribution
1)	Adequate knowledge in mathematics, science and engineering subjects pertaining to the relevant discipline; ability to use theoretical and applied information in these areas to model and solve engineering problems.	5
2)	Ability to identify, formulate, and solve complex engineering problems; ability to select and apply proper analysis and modelling methods for this purpose.	5
3)	Ability to design a complex system, process, device or product under realistic constraints and conditions, in such a way so as to meet the desired result; ability to apply modern design methods for this purpose. (Realistic constraints and conditions may include factors such as economic and environmental issues, sustainability, manufacturability, ethics, health, safety issues, and social and political issues according to the nature of the design.)	1
4)	Ability to devise, select, and use modern techniques and tools needed for engineering practice; ability to employ information technologies effectively.	1
5)	Ability to design and conduct experiments, gather data, analyse and interpret results for investigating engineering problems.
6)	Ability to work efficiently in intra-disciplinary and multi-disciplinary teams; ability to work individually.
7)	Ability to communicate effectively i Turkish, both orally and in writing; knowledge of a minimum of one foreign language.
8)	Recognition of the need for lifelong learning; ability to access information, to follow developments in science and technology, and to continue to educate him/herself.
9)	Awareness of professional and ethical responsibility.
10)	Information about business life practices such as project management, risk management, and change management; awareness of entrepreneurship, innovation, and sustainable development.
11)	Knowledge about contemporary issues and the global and societal effects of engineering practices on health, environment, and safety; awareness of the legal consequences of engineering solutions.

Learning Activity and Teaching Methods

Lesson
Reading
Homework
Problem Solving
Q&A / Discussion

Assessment & Grading Methods and Criteria

Written Exam (Open-ended questions, multiple choice, true-false, matching, fill in the blanks, sequencing)
Homework

Assessment & Grading

Semester Requirements	Number of Activities	Level of Contribution
Homework Assignments	6	% 20
Midterms	2	% 40
Final	1	% 40
total		% 100
PERCENTAGE OF SEMESTER WORK		% 60
PERCENTAGE OF FINAL WORK		% 40
total		% 100

Workload and ECTS Credit Grading

Activities	Number of Activities	Duration (Hours)	Workload
Course Hours	15	5	75
Study Hours Out of Class	12	1	12
Homework Assignments	7	7	49
Midterms	2	11	22
Final	1	22	22
Total Workload			180