Department of Mechanical Engineering

MATH 153 | Course Introduction and Application Information

Course Name

Calculus I

Code	Semester	Theory (hour/week)	Application/Lab (hour/week)	Local Credits	ECTS
MATH 153	SPRING	2	2	3	6

Prerequisites	None
Course Language	English
Course Type	Required (Core Course)
Course Level	First Cycle
Mode of Delivery
Teaching Methods and Techniques of the Course	Discussion Problem Solving Lecture / Presentation
National Occupational Classification Code	-
Course Coordinator	Dr. Öğr. Üyesi Demet Ersoy Özbek
Course Lecturer(s)	Dr. Öğr. Üyesi Demet Ersoy Özbek Doç. Dr. Meryem Odabaşı Prof. Dr. Burak Ordin Prof. Dr. Tahsin Öner Doç. Dr. Salahattin Özdemir Doç. Dr. Ömer Akgüller Öğr. Gör. Mustafa Kırcalı
Assistant(s)	-

Course Objectives

This course aims to built fundamentals of calculus and its applications for engineers

Learning Outcomes

The students who succeeded in this course;

Name	Description	PC Sub	* Contribution Level
Name	Description	PC Sub	1	2	3	4	5
LO1	Will be able to calculate the derivatives of explicit and implicit functions.						X
LO2	Will be able to examine the continuity of functions.						X
LO3	Will be able to calculate the derivatives of explicit and implicit functions.						X
LO4	Will be able to solve related application problems.						X
LO5	Will be able to classify the critical points of functions.						X
LO6	Will be able to plot the graphs of functions.						X
LO7	Will be able to solve extreme value problems.						X

Course Description

Calculus I provides important tools in understanding functions of one variable and has led to the development of new areas of mathematics.

Related Sustainable Development Goals

Course Category	Core Courses	X
	Major Area Courses
	Supportive Courses
	Media and Managment Skills Courses
	Transferable Skill Courses

WEEKLY SUBJECTS AND RELATED PREPARATION STUDIES

Week	Subjects	Required Materials	Learning Outcome
1	Graphs of quadratic functions, Polynomials and rational functions, the trigonometric functions, examples of velocity, growth rate and area	Robert A. Adams, Christopher Essex, Calculus, "A complete course", 9th edition , (Pearson, 2018)Section P3, P6, P7, 1.1	-
2	Limits of Functions, limits at infinity and infinite limits	Robert A. Adams, Christopher Essex, Calculus, "A complete course", 9th edition , (Pearson, 2018) Section 1.2, 1.3	-
3	Continuity, tangent lines and their slopes	Robert A. Adams, Christopher Essex, Calculus, "A complete course", 9th edition , (Pearson, 2018) Section 1.4, 2.1.	-
4	The derivative, differentiation rules, the chain rule, derivatives of trigonometric functions	Robert A. Adams, Christopher Essex, Calculus, "A complete course", 9th edition , (Pearson, 2018) Section 2.2, 2.3,2.4, 2.5.	-
5	Higher-order derivatives, the mean value theorem	Robert A. Adams, Christopher Essex, Calculus, "A complete course", 9th edition , (Pearson, 2018) Section 2.6, 2.8.	-
6	Implicit differentiation, inverse functions, Exponential and logarithmic functions	Robert A. Adams, Christopher Essex, Calculus, "A complete course", 9th edition , (Pearson, 2018)Section 2.9, 3.1, 3.2	-
7	The natural logarithm and exponential. The inverse trigonometric functions	Robert A. Adams, Christopher Essex, Calculus, "A complete course", 9th edition , (Pearson, 2018) Section 3.3,3.5	-
8	Midterm		-
9	Related rates, indeterminate forms	Robert A. Adams, Christopher Essex, Calculus, "A complete course", 9th edition , (Pearson, 2018) Section 4.1, 4.3.	-
10	Extreme values, concavity and inflections	Robert A. Adams, Christopher Essex, Calculus, "A complete course", 9th edition , (Pearson, 2018) Section 4.4, 4.5	-
11	Sketching the graph of a function, extreme value problems to improve reading comprehension skills	Robert A. Adams, Christopher Essex, Calculus, "A complete course", 9th edition , (Pearson, 2018) Section 4.6, 4.8	-
12	Extreme value problems to improve reading comprehension skills, properties of the definite integral. The fundamental theorem of calculus	Robert A. Adams, Christopher Essex, Calculus, "A complete course", 9th edition , (Pearson, 2018) , Section 4.8, 5.4.5,5	-
13	The method of substitution	Robert A. Adams, Christopher Essex, Calculus, "A complete course", 9th edition , (Pearson, 2018) Section 5.6	-
14	The method of substitution, areas of plane regions	Robert A. Adams, Christopher Essex, Calculus, "A complete course", 9th edition , (Pearson, 2018)Section 5.6, 5.7	-
15	Semester review		-
16	Final exam		-

Course Notes/Textbooks	"Calculus A complete course" by Robert A.Adams & Christopher Essex Publisher: Prentice Hall 9th edition 2013. ISBN-13: 978-0134154367.
Suggested Readings/Materials	''Calculus Early Transcendentals'' James Stewart Cengage Learning; 7th edition 2010.ISBN-13:978-0538497909

EVALUATION SYSTEM

Semester Activities	Number	Weighting	LO1	LO2	LO3	LO4	LO5	LO6	LO7
Quizzes / Studio Critiques	4	20	X	X	X	X	X	X	X
Midterm	1	30	X	X	X	X	X	X	X
Final Exam	1	50	X	X	X	X	X	X	X
Total	6	100

ECTS / WORKLOAD TABLE

Semester Activities	Number	Duration (Hours)	Workload
Participation	-	-	-
Theoretical Course Hours	16	2	32
Laboratory / Application Hours	16	2	32
Study Hours Out of Class	14	3	42
Field Work	-	-	-
Quizzes / Studio Critiques	4	6	24
Portfolio	-	-	-
Homework / Assignments	-	-	-
Presentation / Jury	-	-	-
Project	-	-	-
Seminar / Workshop	-	-	-
Oral Exams	-	-	-
Midterms	1	20	20
Final Exam	1	30	30
		Total	180

COURSE LEARNING OUTCOMES AND PROGRAM QUALIFICATIONS RELATIONSHIP

#	PC Sub	Program Competencies/Outcomes	* Contribution Level
			1	2	3	4	5
No program competency data found.

*1 Lowest, 2 Low, 3 Average, 4 High, 5 Highest

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