PAÜ .:. Eğitim Öğretim Bilgi Sistemi

COURSE INFORMATION

Course Code	Course Title	L+P Hour	Semester	ECTS
MAT 114	GENERAL CALCULUS - II	4 + 0	2nd Semester	5

COURSE DESCRIPTION

Course Level	Bachelor's Degree
Course Type	Compulsory
Course Objective	The aim of this course is to teach basic mathematical concepts used by science and engineering students. .
Course Content	Definite Integrals and Applications, Improper Integrals, Functions of Several Variables, Partial Derivatives and Applications, Vector calculus, Multiple Integrals.
Prerequisites	No the prerequisite of lesson.
Corequisite	No the corequisite of lesson.
Mode of Delivery	Face to Face

COURSE LEARNING OUTCOMES

1	Recognizes the concept of indefinite integral.
2	Applies the methods of integration.
3	Identifies the properties of the Riemann integral.
4	Comments on the theorems on Riemann integral.
5	Identifies the applications of definite integral.
6	Identifies the improper integral.
7	Comments on the properties of the improper integral.
8	Studies the concepts of the sequences and series.

COURSE'S CONTRIBUTION TO PROGRAM

	PO 01	PO 02	PO 03	PO 04	PO 05	PO 06	PO 07	PO 08	PO 09	PO 10	PO 11
LO 001	5	2	1	2			2	3
LO 002	5	2	1	2			2	3
LO 003	5	2	1	2			2	3
LO 004	5	2	1	2			2	3
LO 005	5	2	1	2			2	3
LO 006	5	2	1	2			2	3
LO 007	5	2	1	2			2	3
LO 008	5	2	1	2			2	3
Sub Total	40	16	8	16			16	24
Contribution	5	2	1	2	0	0	2	3	0	0	0

ECTS ALLOCATED BASED ON STUDENT WORKLOAD BY THE COURSE DESCRIPTION

Activities	Quantity	Duration (Hour)	Total Work Load (Hour)
Course Duration (14 weeks/theoric+practical)	14	4	56
Hours for off-the-classroom study (Pre-study, practice)	14	2	28
Mid-terms	1	14	14
Final examination	1	18	18
Report / Project	14	1	14
Total Work Load ECTS Credit of the Course			130 5

COURSE DETAILS

Select Year

Course Details

Course Code	Course Title	L+P Hour	Course Code	Language Of Instruction	Course Semester
MAT 114	GENERAL CALCULUS - II	4 + 0	17	Turkish	2023-2024 Spring

Course Coordinator	E-Mail	Phone Number	Course Location	Attendance
Prof. Dr. İSMAİL YASLAN	iyaslan@pau.edu.tr		MUH B0129	%70

Goals		The aim of this course is to teach basic mathematical concepts used by science and engineering students. .
Content		Definite Integrals and Applications, Improper Integrals, Functions of Several Variables, Partial Derivatives and Applications, Vector calculus, Multiple Integrals.

Topics

Weeks	Topics
1	Definite Integrals
2	Calculation of Area, Arc Length, Volume Calculation of Mass, Surface Area
3	Moment and Center of Gravity
4	Functions of Several Variables
5	Limits and Continuity of Functions of Several Variables
6	Partial Derivatives
7	Derivatives of Higher Order, Total Differential
8	The Chain Rule, Derivatives of Implicit Functions
9	Transformations of the Regions, Jakobien
10	Vector Calculus and Some Surfaces
11	Double Integrals
12	Double Integrals and Their Applications
13	Triple Integrals
14	Double Integrals and Their Applications

Materials

Materials are not specified.

Resources

Resources	Resources Language
Mustafa Balcı, Genel Matematik-I-II	Türkçe
Calculus Multi Variables, Howard Anton, Irl Bivens and Stephen Davis	English
ANALİZI-II PROF. DR. M.ALİ SARIGÖL	Türkçe
Mustafa Balcı, Genel Matematik-I-II	Türkçe
Calculus Multi Variables, Howard Anton, Irl Bivens and Stephen Davis	English
ANALİZI-II PROF. DR. M.ALİ SARIGÖL	Türkçe

Course Assessment

Assesment Methods	Percentage (%)	Assesment Methods Title
Final Exam	50	Final Exam
Midterm Exam	50	Midterm Exam

L+P: Lecture and Practice
PQ: Program Learning Outcomes
LO: Course Learning Outcomes

Prospective Student