COURSE INTRODUCTION AND APPLICATION INFORMATION

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Course Name

Code	Semester	Theory (hour/week)	Application/Lab (hour/week)	Local Credits	ECTS
	Spring

Prerequisites

MATH 153

To attend the classes (To enrol for the course and get a grade other than NA or W)

Course Language

Course Type

Required

Course Level

Mode of Delivery

Teaching Methods and Techniques of the Course

Discussion
Problem Solving

Course Coordinator

Yrd. Doç. Dr. Sevin GÜMGÜM

Course Lecturer(s)

Assistant(s)

Course Objectives
Learning Outcomes	The students who succeeded in this course; Will be able to use the applications of Taylor and Maclaurin series effectively Will be able to define the concepts of limits and continuity in the functions of several variables Will be able to do partial and directional derivatives calculations Will be able to solve extreme value problems Will be able to compute double integrals in cartesian and polar coordinates Will be able to compute triple integrals Will be able to use the concepts of the classification of differential equations and Solutions of first and second order differential equations effectively
Course Description

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

WEEKLY SUBJECTS AND RELATED PREPARATION STUDIES

Week	Subjects	Required Materials
1	Solids of Revolution, Cylindrical Shells	Calculus: A Complete Course by Robert A. Adams, Christopher Essex, Eight Edition. 7.1
2	Cylindrical Shells, Taylor and Maclaurin Series.	Calculus: A Complete Course by Robert A. Adams, Christopher Essex, Eight Edition. 7.1, 9.6.
3	Applications of Taylor and Maclaurin Series.	Calculus: A Complete Course by Robert A. Adams, Christopher Essex, Eight Edition. 9.7.
4	Functions of Several Variables, Limits and continuity	Calculus: A Complete Course by Robert A. Adams, Christopher Essex, Eight Edition. 12.1, 12.2.
5	Limits and continuity, Partial Derivatives.	Calculus: A Complete Course by Robert A. Adams, Christopher Essex, Eight Edition. 12.2, 12.3.
6	Gradients and Directional Derivatives.	Calculus: A Complete Course by Robert A. Adams, Christopher Essex, Eight Edition. 12.7
7	Extreme Values.	Calculus: A Complete Course by Robert A. Adams, Christopher Essex, Eight Edition. 13.1.
8	Extreme Values of Functions Defined on Restricted Domains Midterm Exam .	Calculus: A Complete Course by Robert A. Adams, Christopher Essex, Eight Edition. 13.2
9	Lagrange Multipliers.	Calculus: A Complete Course by Robert A. Adams, Christopher Essex, Eight Edition. 13.3
10	Iteration of Double Integrals in Cartesian Coordinates.	Calculus: A Complete Course by Robert A. Adams, Christopher Essex, Eight Edition.14.2
11	Double integrals in Polar Coordinates.	Calculus: A Complete Course by Robert A. Adams, Christopher Essex, Eight Edition. 14.4
12	Triple Integrals. Change of Variables in Triple Integrals.	Calculus: A Complete Course by Robert A. Adams, Christopher Essex, Eight Edition. 14.5, 14.6.
13	Classifying Differential Equations. Solving First Order Equations.	Calculus: A Complete Course by Robert A. Adams, Christopher Essex, Eight Edition. 18.1, 18.2
14	Review of the Semester	-
15	Review of the Semester
16	Review of the Semester

Course Notes/Textbooks	Calculus: A Complete Course by Robert A. Adams, Christopher Essex, Eight Edition.
Suggested Readings/Materials	James Stewart, Calculus, Early Transcendentals 7E

EVALUATION SYSTEM

Semester Activities	Number	Weigthing
Participation
Laboratory / Application
Field Work
Quizzes / Studio Critiques	4	20
Portfolio
Homework / Assignments	8	10
Presentation / Jury
Project
Seminar / Workshop
Oral Exam
Midterm	1	30
Final Exam	1	40
Total

Weighting of Semester Activities on the Final Grade	13	60
Weighting of End-of-Semester Activities on the Final Grade	1	40
Total

ECTS / WORKLOAD TABLE

Semester Activities	Number	Duration (Hours)	Workload
Course Hours (Including exam week: 16 x total hours)	16	4	64
Laboratory / Application Hours (Including exam week: 16 x total hours)	16
Study Hours Out of Class	16	3
Field Work
Quizzes / Studio Critiques		2
Portfolio
Homework / Assignments	8	1
Presentation / Jury
Project
Seminar / Workshop
Oral Exam
Midterms	1	18
Final Exams	1	28
		Total	166

COURSE LEARNING OUTCOMES AND PROGRAM QUALIFICATIONS RELATIONSHIP

#	Program Competencies/Outcomes	* Contribution Level
#	Program Competencies/Outcomes	1	2	3	4	5
1	To be able to transfer the skills gained from basic mathematic and science to engineering, to be able to apply it for problem solving in Food Engineering,
2	To be able to design projects, process optimisation, data collection, analysing results,
3	To be able to work individually as well as play an active role in a team, expressing themselves successfully, active decision making,
4	To be able to follow global developments and innovations, personal development, have the ability to improve quality,
5	To be able to have responsibility towards environment and apply to the professional field, have the ethical responsibility,
6	To be able to apply entrepreneurial skills, innovation and sustainability to the professional field,
7	To be able to communicate at least one foreign language.

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