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	4

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

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
Mid-terms	1	20	20
Final examination	1	28	28
Total Work Load ECTS Credit of the Course			104 4

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	20	Turkish	2022-2023 Spring

Course Coordinator	E-Mail	Phone Number	Course Location	Attendance
Prof. Dr. ABDULLAH ALĞIN	aalgin@pau.edu.tr		TEK A0108 TEK A0109	%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	Polar coordinates, indefinite integrals and their general solution methods
2	Definite Integrals
3	Calculation of Area, Arc Length, Volume Calculation of Mass, Surface Area, 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	Midterm exam, 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
"Thomas Kalkülüs (Cilt I ve II, 12. Baskı)", G.B. Thomas, M.D. Weir, J.R. Hass, Çeviri Editörü: M. Bayram, Pearson Akademik Yayıncılık, İstanbul, (2019).	Türkçe
"Genel Matematik (Cilt I ve II)", Mustafa Balcı, Palme Yayınevi, Ankara, (2018).	Türkçe
"İleri Analiz", M.R. Spiegel, Çeviri: S. Süray, Sanem Çözümlü Serisi Yayınları, Güven Kitabevi, Ankara.	English

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