KIUS
English


ELECTRICAL AND ELECTRONICS ENGINEERING (ENGLISH) PROGRAMME
COURSE DESCRIPTION
Name of the Course Unit Code Year Semester In-Class Hours (T+P) Credit ECTS Credit
CALCULUS II MAT102 1 2 4+0 4.0 7.0


General Information
Language of Instruction English
Level of the Course Unit Bachelor's Degree, TYYÇ: Level 6, EQF-LLL: Level 6, QF-EHEA: First Cycle
Type of the Course Compulsory
Mode of Delivery of the Course Unit Face-to-face
Work Placement(s) Requirement for the Course Unit Yes
Coordinator of the Course Unit
Instructor(s) of the Course Unit
Assistant(s) of the Course Unit

Prerequisites and/or co-requisities of the course unit
CATEGORY OF THE COURSE UNIT
Category of the Course Unit Degree of Contribution (%)
Fundamental Course in the field % 20
Course providing specialised skills to the main field % 20
Course providing supportive skills to the main field % 20
Course providing humanistic, communication and management skills % 20
Course providing transferable skills % 20

Objectives and Contents
Objectives of the Course Unit On prosperous end of this course, students will have progressed their comprehension of following issues:  Recognize the method of approximation of functions with polynomials;  Describe the attributes of power series and determine the radius and the interval of convergence of a power series and also determine at which points the series converges absolutely or conditionally;  Create Taylor and Maclaurin series for a certain function and utilize Taylor and Maclaurin series for approximation of functions and predict the error;  Comprehend and classify the equations and figures of quadratic surfaces;  Utilize power series to determine limits and also distinguish two and three dimensional Cartesian coordinate system;  Utilize the properties of vectors and operations with vectors and create the equations of lines and planes and also work with vector functions and determine their derivatives and integrals and the arc length;  Apply the concept of a function of several variables and determine it’s domain;  Measure the limits of multivariable functions and show the nonexistence of a limit;  Obtain partial derivatives with utilization of the properties of differentiable multivariable functions and fundamental rules;  Utilize partial derivatives to obtain equations of tangent planes, normal lines, and for extreme values;  Determine double integrals in Cartesian and polar coordinates and triple integrals in Cartesian and cylindrical coordinates and utilize multiple integrals for computing areas and volumes and utilize integration in vector fields;  Obtain line integrals and flux using Green’s Theorem and circulation of a vector field by utilization of Stoke’s theorem and apply Divergence Theorem to calculate the flux of a vector field.
Contents of the Course Unit Calculus II is a continuation of Calculus I which is design to introduce students change and motion mathematically. Generally, Calculus enables students to recognize various functions and also has conducted to progress of novel fields of mathematics such as complex and real analysis, non-euclidean geometry and topology. The aim of this course is to enable students to comprehend the basic concepts of the differential and integral calculus of functions of several variables which is utilized in various deciplinines (science, engineering, medicine) and business, industry.
Contribution of the Course Intending to Provide the Professional Education Comprehend and classify the equations and figures of quadratic surfaces;  Utilize power series to determine limits and also distinguish two and three dimensional Cartesian coordinate system;  Utilize the properties of vectors and operations with vectors and create the equations of lines and planes and also work with vector functions and determine their derivatives and integrals and the arc length; 

No
 Key Learning Outcomes of the Course Unit
On successful completion of this course unit, students/learners will or will be able to:
1 Recognize the method of approximation of functions with polynomials;
2 Describe the attributes of power series and determine the radius and the interval of convergence of a power series and also determine at which points the series converges absolutely or conditionally;
3 Create Taylor and Maclaurin series for a certain function and utilize Taylor and Maclaurin series for approximation of functions and predict the error;
4 Comprehend and classify the equations and figures of quadratic surfaces
5 Utilize power series to determine limits and also distinguish two and three dimensional Cartesian coordinate system;

Learning Activities & Teaching Methods of the Course Unit
Learning Activities & Teaching Methods of the Course Unit

Weekly Course Contents and Study Materials for Preliminary & Further Study
Week Topics (Subjects) Preparatory & Further Activities
1 Introducing the course to the students; Revision of convergence tests for infinite series. No file found
2 Polynomial approximation of functions; Power series. No file found
3 Taylor and Maclaurin series No file found
4 Higher order derivatives, Chain rule, Related rates. No file found
5 Rolle's and the mean value theorem. No file found
6 Critical Points, Asymptotes, Curve sketching. No file found
7 Mid-term examination No file found
8 Integrals, Fundamental theorem, Techniques of integration. No file found
9 Definite integrals. Application to geometry and science. No file found
10 Indeterminate forms. L'Hôpital's rule. No file found
11 Improper integrals. No file found
12 Sequences, Infinite series. No file found
13 Alternating series, Ratio, Root, Comparison test. No file found
14 Final Examination No file found

SOURCE MATERIALS & RECOMMENDED READING
1-Calculus: A Complete Course by Adams Robert A., and Christopher Essex, 8th Edition, 2014. Pearson Education;
- Calculus, Early Transcendentals by Howard Anton, Irl Bivens and Stephen Davies,10th Edition, John Wiley & Sons Singapore Pte. Ltd;
- Calculus, Early Transcendentals by William L. Briggs & Lyle Cochran, International Edition, Pearson Publishing Co;

MATERIAL SHARING
Course Notes No file found
Presentations No file found
Homework No file found
Exam Questions & Solutions No file found
Useful Links No file found
Video and Visual Materials No file found
Other No file found
Announcements No file found

CONTRIBUTION OF THE COURSE UNIT TO THE PROGRAMME LEARNING OUTCOMES
KNOWLEDGE
Theoretical
No PROGRAMME LEARNING OUTCOMES LEVEL OF CONTRIBUTION*
0 1 2 3 4 5
1 Basic principles of multivariable calculus, including differentiation, integration and differential equations. X
2 Basics of electric and electronic circuits theory. X
3 Sustainability, environmental impact and life cycle assessment of electrical & electronics engineering works. Renewable energy systems. X
4 Management principles and ethical issues for electrical engineers. X
SKILLS
Cognitive
No PROGRAMME LEARNING OUTCOMES LEVEL OF CONTRIBUTION*
0 1 2 3 4 5
1 Apply methods from electromagnetic theory and basic physics to the analysis of electrical and electronic systems including electrical power systems X
2 Extract relevant physical properties from the Laplace, Fourier and z transforms of differential equations X
3 Devise lab experiments, collect and analyse data from physical and simulated test systems and use the results to solve technical problems. X
4 Use lab equipment effectively and safely to measure and analyse electronic and electrical systems, both digital and analog. X
*Level of Contribution (0-5): Empty-Null (0), 1- Very Low, 2- Low, 3- Medium, 4- High, 5- Very High

No
 Key Learning Outcomes of the Course Unit
On successful completion of this course unit, students/learners will or will be able to: 		PROGRAMME LEARNING OUTCOMES
1 Recognize the method of approximation of functions with polynomials;
2 Describe the attributes of power series and determine the radius and the interval of convergence of a power series and also determine at which points the series converges absolutely or conditionally;
3 Create Taylor and Maclaurin series for a certain function and utilize Taylor and Maclaurin series for approximation of functions and predict the error;
4 Comprehend and classify the equations and figures of quadratic surfaces
5 Utilize power series to determine limits and also distinguish two and three dimensional Cartesian coordinate system;

Assessment
Assessment & Grading of In-Term Activities Number of
Activities		 Degree of Contribution (%)
Mid-Term Exam 0 -
Computer Based Presentation 0 -
Short Exam 0 -
Presentation of Report 0 -
Homework Assessment 0 -
Oral Exam 0 -
Presentation of Thesis 0 -
Presentation of Document 0 -
Expert Assessment 0 -
Board Exam 0 -
Practice Exam 0 -
Year-End Final Exam 0 -
Internship Exam 0 -
TOTAL 0 %100
Contribution of In-Term Assessments to Overall Grade 0 %50
Contribution of Final Exam to Overall Grade 1 %50
TOTAL 1 %100


WORKLOAD & ECTS CREDITS OF THE COURSE UNIT
Workload for Learning & Teaching Activities
Type of the Learning Activites Learning Activities
(# of week)		 Duration
(hours, h)		 Workload (h)
Lecture & In-Class Activities 14 0 0
Preliminary & Further Study 14 0 0
Land Surveying 0 0 0
Group Work 0 0 0
Laboratory 0 0 0
Reading 0 0 0
Assignment (Homework) 0 0 0
Project Work 0 0 0
Seminar 0 0 0
Internship 0 0 0
Technical Visit 0 0 0
Web Based Learning 0 0 0
Implementation/Application/Practice 0 0 0
Practice at a workplace 0 0 0
Occupational Activity 0 0 0
Social Activity 0 0 0
Thesis Work 0 0 0
Field Study 0 0 0
Report Writing 0 0 0
Total Workload for Learning & Teaching Activities - - 0
Workload for Assessment Activities
Type of the Assessment Activites # of Assessment Activities
 Duration
(hours, h)		 Workload (h)
Final Exam 1 0 0
Preparation for the Final Exam 0 0 0
Mid-Term Exam 0 0 0
Preparation for the Mid-Term Exam 0 0 0
Short Exam 0 0 0
Preparation for the Short Exam 0 0 0
Total Workload for Assessment Activities - - 0
Total Workload of the Course Unit - - 0
Workload (h) / 25.5 0.0
ECTS Credits allocated for the Course Unit 7.0

EBS : Kıbrıs İlim Üniversitesi Eğitim Öğretim Bilgi Sistemi Kıbrıs İlim Üniversitesi AKTS Bilgi Paketi AKTS Bilgi Paketi ECTS Information Package Avrupa Kredi Transfer Sistemi (AKTS/ECTS), Avrupa Yükseköğretim Alanı (Bologna Süreci) hedeflerini destekleyen iş yükü ve öğrenme çıktılarına dayalı öğrenci/öğrenme merkezli öğretme ve öğrenme yaklaşımı çerçevesinde yükseköğretimde uluslarası saydamlığı arttırmak ve öğrenci hareketliliği ile öğrencilerin yurtdışında gördükleri öğrenimleri kendi ülkelerinde tanınmasını kolaylaştırmak amacıyla Avrupa Komisyonu tarafından 1989 yılında Erasmus Programı (günümüzde Yaşam Boyu Öğrenme Programı) kapsamında geliştirilmiş ve Avrupa ülkeleri tarafından yaygın olarak kabul görmüş bir kredi sistemidir. AKTS, aynı zamanda, yükseköğretim kurumlarına, öğretim programları ve ders içeriklerinin iş yüküne bağlı olarak kolay anlaşılabilir bir yapıda tasarlanması, uygulanması, gözden geçirilmesi, iyileştirilmesi ve bu sayede yükseköğretim programlarının kalitesinin geliştirilmesine ve kalite güvencesine önemli katkı sağlayan bir sistematik yaklaşım sunmaktadır. ETIS : İstanbul Aydın University Education & Training System Cyprus Science University ECTS Information Package ECTS Information Package European Credit Transfer and Accumulation System (ECTS) which was introduced by the European Council in 1989, within the framework of Erasmus, now part of the Life Long Learning Programme, is a student-centered credit system based on the student workload required to achieve the objectives of a programme specified in terms of learning outcomes and competences to be acquired. The implementation of ECTS has, since its introduction, has been found wide acceptance in the higher education systems across the European Countries and become a credit system and an indispensable tool supporting major aims of the Bologna Process and, thus, of European Higher Education Area as it makes teaching and learning in higher education more transparent across Europe and facilitates the recognition of all studies. The system allows for the transfer of learning experiences between different institutions, greater student mobility and more flexible routes to gain degrees. It also offers a systematic approach to curriculum design as well as quality assessment and improvement and, thus, quality assurance.