Department of Mechanical Engineering

MATH 154 | Course Introduction and Application Information

Course Name

Calculus II

Code	Semester	Theory (hour/week)	Application/Lab (hour/week)	Local Credits	ECTS
MATH 154	SPRING	2	2	3	6

Prerequisites	MATH 153 To get a grade of at least FD
Course Language	English
Course Type	Required (Core Course)
Course Level	First Cycle
Mode of Delivery
Teaching Methods and Techniques of the Course	-
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 Dr. Öğr. Üyesi Ayşe Beler Dr. Öğr. Üyesi Neslişah İmamoğlu Karabaş
Assistant(s)	-

Course Objectives

In this course, integration techniques and application of integration, Taylor and Maclaurin series and their applications, functions of several variables, their derivatives, integrals and applications are examined.

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	Evaluate definite and indefinite integrals of functions using integration techniques						X
LO2	Calculate improper integrals and volumes of solids.						X
LO3	Use the applications of Taylor and Maclaurin series effectively.						X
LO4	Define the concepts of limits and continuity for the functions of several variables.						X
LO5	Calculate partial and directional derivatives.						X
LO6	Solve extreme value problems.						X
LO7	Compute double and triple integrals						X

Course Description

This course aims to provide information about integration techniques and applications, define functions of several variables, partial differentiation and multiple integration.

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	The method of substitution	Robert A. Adams, Christopher Essex, Calculus, "A complete course", 9th edition, (Pearson, 2018). Section 5.6, 5.7	-
2	Integration by parts, integrals of rational functions	Robert A. Adams, Christopher Essex, Calculus, "A complete course", 9th edition, (Pearson, 2018). Section 6.1, 6.2	-
3	Integrals of rational functions, inverse substitutions	Robert A. Adams, Christopher Essex, Calculus, "A complete course", 9th edition, (Pearson, 2018). Section 6.2, 6.3	-
4	Inverse substitutions, improper Integrals	Robert A. Adams, Christopher Essex, Calculus, "A complete course", 9th edition, (Pearson, 2018). Section 6.3, 6.5	-
5	Solids of revolution	Robert A. Adams, Christopher Essex, Calculus, "A complete course", 9th edition, (Pearson, 2018). Section 7.1	-
6	Taylor and Maclaurin series, applications of Taylor and Maclaurin series, Functions of several variables	Robert A. Adams, Christopher Essex, Calculus, "A complete course", 9th edition, (Pearson, 2018). Section 9.6, 9.7, 12.1	-
7	Limits and continuity	Robert A. Adams, Christopher Essex, Calculus, "A complete course", 9th edition, (Pearson, 2018). Section 12.2	-
8	Partial derivatives, Gradients and directional derivatives	Robert A. Adams, Christopher Essex, Calculus, "A complete course", 9th edition, (Pearson, 2018). Section 12.3, 12.7	-
9	Midterm Exam		-
10	Gradients and directional derivatives, Extreme values	Robert A. Adams, Christopher Essex, Calculus, "A complete course", 9th edition, (Pearson, 2018). Section 12.7, 13.1	-
11	Extreme values, Extreme values of functions defined on restricted domains	Robert A. Adams, Christopher Essex, Calculus, "A complete course", 9th edition, (Pearson, 2018). Section 13.1, 13.2	-
12	Extreme values of functions defined on restricted domains, Lagrange multipliers	Robert A. Adams, Christopher Essex, Calculus, "A complete course", 9th edition, (Pearson, 2018). Section 13.2, 13.3	-
13	Iteration of double integrals in cartesian coordinates, double integrals in polar coordinates	Robert A. Adams, Christopher Essex, Calculus, "A complete course", 9th edition, (Pearson, 2018). Section 14.2, 14.4	-
14	Triple integrals. Change of variables in triple integrals	Robert A. Adams, Christopher Essex, Calculus, "A complete course", 9th edition, (Pearson, 2018). Section 14.5, 14.6	-
15	Semester review		-
16	Final		-

Course Notes/Textbooks	R Robert A. Adams Christopher Essex Calculus "A complete course" 9th edition (Pearson 2018). ISBN 978-0-13-415436-7
Suggested Readings/Materials	-

EVALUATION SYSTEM

Semester Activities	Number	Weighting	LO1	LO2	LO3	LO4	LO5	LO6	LO7
Quizzes / Studio Critiques	5	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	7	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	5	4	20
Portfolio	-	-	-
Homework / Assignments	-	-	-
Presentation / Jury	-	-	-
Project	-	-	-
Seminar / Workshop	-	-	-
Oral Exams	-	-	-
Midterms	1	22	22
Final Exam	1	32	32
		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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