1. FIRST CYCLE - BACHELOR'S DEGREE
  2. FACULTY OF TECHNOLOGY
  3. MECHANICAL ENGINEERING DEPARTMENT
  4. 137 MECHANICAL ENGINEERING
Course Information Course Learning Outcomes Course's Contribution To Program ECTS Workload Course Details
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COURSE INFORMATION
Course CodeCourse TitleL+P HourSemesterECTS
MAT 114GENERAL CALCULUS - II4 + 02nd Semester4

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

COURSE'S CONTRIBUTION TO PROGRAM
Data not found.

ECTS ALLOCATED BASED ON STUDENT WORKLOAD BY THE COURSE DESCRIPTION
ActivitiesQuantityDuration (Hour)Total Work Load (Hour)
Course Duration (14 weeks/theoric+practical)14456
Assignments12448
Total Work Load

ECTS Credit of the Course





104

4
COURSE DETAILS
 Select Year   


 Course TermNoInstructors
Details 2023-2024 Spring1ABDULLAH ALĞIN
Details 2022-2023 Spring20ABDULLAH ALĞIN
Details 2021-2022 Spring16ABDULLAH ALĞIN
Details 2020-2021 Spring21ALİ AYTEKİN


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Course Details
Course Code Course Title L+P Hour Course Code Language Of Instruction Course Semester
MAT 114 GENERAL CALCULUS - II 4 + 0 1 Turkish 2023-2024 Spring
Course Coordinator  E-Mail  Phone Number  Course Location Attendance
Prof. Dr. ABDULLAH ALĞIN aalgin@pau.edu.tr TEK A0009 %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
WeeksTopics
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
ResourcesResources 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 MethodsPercentage (%)Assesment Methods Title
Final Exam50Final Exam
Midterm Exam50Midterm Exam
L+P: Lecture and Practice
PQ: Program Learning Outcomes
LO: Course Learning Outcomes