KIUS
English


COMPUTER 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 -
Course providing specialised skills to the main field -
Course providing supportive skills to the main field % 100
Course providing humanistic, communication and management skills -
Course providing transferable skills -

Objectives and Contents
Objectives of the Course Unit This module aims to provide an accessible review of the advanced calculus from the text book to long after the class and to provide the concepts integration and the applications of integration. It presents a source for undergraduate students at their first year. Calculus is taught in a traditional lecture format or in laboratories with individual and group learning focusing on numerical and graphical experimentations. Give an ability to apply knowledge of mathematics on engineering problems. Provide the evaluation of integrals by using integral techniques. Give the basic concepts of analytic geometry. Give a broad knowledge and basic understanding of sequences and series. Provide the limit, continuity and integral of vector-valued functions in application.
Contents of the Course Unit Concept of area, estimating with finite sums, sigma notation and limits of finite sums, definite integral, The Fundamental Theorems of Calculus and Integral,integration by parts,substitution rule, indefinite integrals, numerical integration , hyperbolic and inverse hyperbolic functions, techniques of integration, area, lengths of plane curves, volumes of a solid of revolution, areas of surfaces of revolution, moments and centers of mass, moments of inertia, Pappus theorems, areas and lengths in polar coordinates. improper integrals, sequences, infinite series, tests of convergence for arithmetic,geometric,harmonic, alternating series ,absolutly convergent, conditionaly convergent,derivation and interal of power series,convergence of power series, Taylor and Maclaurin Series, Fourier Series,vectors, dot Product, cross product, lines and planes in space, cylinders and quadric surfaces, vector-valued functions, limits and continuity and integrals of vector-valued functions.
Contribution of the Course Intending to Provide the Professional Education In Calculus II students learn integration techniques and the ability to use integration in engineering problems.

No
 Key Learning Outcomes of the Course Unit
On successful completion of this course unit, students/learners will or will be able to:
1 Evaluate the definite integral by using the Fundamental Theorem of Calculus .
2 Recognize the integration by parts and substitution rule.
3 Evaluate the indefinite integrals.
4 Recognize the methods of numerical integration and define the hyperbolic and inverse hyperbolic functions .
5 Provide the evaluation of integrals by using integral techniques.
6 Work with transcendental functions and evaluate integrals using techniques of integration.
7 Apply integration to compute areas, arclength, volums of a solid of revolution,moments and centers of mass ,areas of surfaces of revolution, evaluate the areas and lengths in polar coordinates.
8 Recognize the convergences of sequence,series and power series
9 Give the basic concepts of analytic geometry.
10 Recognize the concepts of limit ,continuity and integral for the vector valued function.

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 Concept of area, estimating with finite sums, sigma notation and limits of finite sums, definite integral, the fundamental theorems of calculus No file found
2 Evaluation of Limit using the definite integral, indefinite integral and its properties No file found
3 Integration by parts, substitution rule, integral formulas No file found
4 Numerical integration metods, hyperbolic and inverse hyperbolic functions No file found
5 Techniques of integration No file found
6 Techniques of integration No file found
7 Area, lengths of plane curves, volumes of a solid of revolution, areas of surfaces of revolution No file found
8 Moments and centers of mass, moments of inertia, Pappus theorems No file found
9 Areas and lengths in polar coordinates, improper integrals, Midterm Exam No file found
10 Sequences, infinite series, tests of convergence for arithmetic, geometric,harmonic, alternating series No file found
11 Absolute convergent, conditional convergent, convergence of power series No file found
12 Derivation and integral of power series, Taylor and Maclaurin Series, Fourier Series No file found
13 Vectors, dot product, cross product, lines and planes in space, cylinders and quadric surfaces No file found
14 Vector-valued functions, limits and continuity and integrals of vector-valued functions No file found

SOURCE MATERIALS & RECOMMENDED READING
1-

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 Gaining knowledge on computer software, computer hardware, and computer networks with a strong background on mathematics X
2 Being able to design and implement both software and hardware of computer and computerized systems X
3 technical and practical knowledge X
Factual
No PROGRAMME LEARNING OUTCOMES LEVEL OF CONTRIBUTION*
0 1 2 3 4 5
1 Gained ability to be able to tackle with real-world cases X
SKILLS
Cognitive
No PROGRAMME LEARNING OUTCOMES LEVEL OF CONTRIBUTION*
0 1 2 3 4 5
1 Have insight into the latest technological developments in the contemporary societies X
2 using the technology for solving real-world problems X
3 being aware of real-world engineering tasks and problems X
Practical
No PROGRAMME LEARNING OUTCOMES LEVEL OF CONTRIBUTION*
0 1 2 3 4 5
1 practicing with real-world cases X
PERSONAL & OCCUPATIONAL COMPETENCES IN TERMS OF EACH OF THE FOLLOWING GROUPS
Autonomy & Responsibility
No PROGRAMME LEARNING OUTCOMES LEVEL OF CONTRIBUTION*
0 1 2 3 4 5
1 being able to use the technology to design and implement software and hardware of computer and computerized systems for solving real-world problems X
2 graduation projects on real-world cases X
3 summer practice at a workplace X
Learning to Learn
No PROGRAMME LEARNING OUTCOMES LEVEL OF CONTRIBUTION*
0 1 2 3 4 5
1 gain insight to the latest technological developments X
2 Being able to implement sustainable computerized systems both in software and hardware X
Communication & Social
No PROGRAMME LEARNING OUTCOMES LEVEL OF CONTRIBUTION*
0 1 2 3 4 5
1 being able to formulate mathematical models via communication of the problem word for designing and implementing solutions both in software and hardware X
Occupational and/or Vocational
No PROGRAMME LEARNING OUTCOMES LEVEL OF CONTRIBUTION*
0 1 2 3 4 5
1 Achieving a technically competent career X
2 Design and implement information and computing systems for the ever growing contemporary societies 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 Evaluate the definite integral by using the Fundamental Theorem of Calculus .
2 Recognize the integration by parts and substitution rule.
3 Evaluate the indefinite integrals.
4 Recognize the methods of numerical integration and define the hyperbolic and inverse hyperbolic functions .
5 Provide the evaluation of integrals by using integral techniques.
6 Work with transcendental functions and evaluate integrals using techniques of integration.
7 Apply integration to compute areas, arclength, volums of a solid of revolution,moments and centers of mass ,areas of surfaces of revolution, evaluate the areas and lengths in polar coordinates.
8 Recognize the convergences of sequence,series and power series
9 Give the basic concepts of analytic geometry.
10 Recognize the concepts of limit ,continuity and integral for the vector valued function.

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 4 56
Preliminary & Further Study 14 5 70
Land Surveying 0 0 0
Group Work 0 0 0
Laboratory 0 0 0
Reading 0 0 0
Assignment (Homework) 6 2 12
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 - - 138
Workload for Assessment Activities
Type of the Assessment Activites # of Assessment Activities
 Duration
(hours, h)		 Workload (h)
Final Exam 1 3 3
Preparation for the Final Exam 1 36 36
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 - - 39
Total Workload of the Course Unit - - 177
Workload (h) / 25.5 6.9
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.