KIUS
English


SOFTWARE ENGINEERING (ENGLISH) PROGRAMME
COURSE DESCRIPTION
Name of the Course Unit Code Year Semester In-Class Hours (T+P) Credit ECTS Credit
CALCULUS I MAT101 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 Assoc. Prof. (Ph.D.) ROOZBEH VAZIRI
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 attributes of functions and also their inverses;  Comprehend rational, polynomials, transcendental (trigonometric, logarithmic, exponential) and inverse-trigonometric functions;  Distinguish range, domain and how to draw graphs, apply function, its first derivative and also second derivative;  Apply the definition of limits and continuity to solve the problem and also apply the procedures of differentiation which are consist of implicit and logarithmic differentiation;  Apply the differentiation procedures to solve related rates and extreme value problems and obtain the linear approximations of functions and to approximate the values of functions;  Utilize the definition of indefinite integral to solve basic differential equations and use the definition of definite integral to evaluate basic integrals and also use the procedures for integrating rational functions;  Apply accurately improper integrals;  Use the tests for specifying convergence or divergence of series;
Contents of the Course Unit the differentiation procedures to solve related rates and extreme value problems and obtain the linear approximations of functions and to approximate the values of functions; the definition of indefinite integral to solve basic differential equations and use the definition of definite integral to evaluate basic integrals and also use the procedures for integrating rational functions;
Contribution of the Course Intending to Provide the Professional Education Calculus I is design to introduce the basic mathematical concepts such as functions, equations, differentiation and integration. Nowadays, calculus as a mathematical study of change, prepares students with needed foundation, comprehension and skills which are required to be prosperous in university disciplines and courses such as chemistry, physics, business, computer science and engineering. Limits, continuty, derivatives, antiderivatives and differention techniques will be taught.

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 attributes of functions and also their inverses;
2  Comprehend rational, polynomials, transcendental (trigonometric, logarithmic, exponential) and inverse-trigonometric functions;
3  Distinguish range, domain and how to draw graphs, apply function, its first derivative and also second derivative;
4  Apply the definition of limits and continuity to solve the problem and also apply the procedures of differentiation which are consist of implicit and logarithmic differentiation;
5  Apply the differentiation procedures to solve related rates and extreme value problems and obtain the linear approximations of functions and to approximate the values of functions;

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; Limits and continuity No file found
2 Continuity of trigonometric, Exponential and inverse Functions; Tangent lines and rates of change; No file found
3 The derivative function; Introduction to techniques of differentiation. No file found
4 The product and quotient rules; Derivatives of trigonometric Functions; No file found
5 The Chain rule; Implicit Differentiation. No file found
6 Derivatives of logarithmic functions; Derivatives of exponential and ınverse trigonometric functions; No file found
7 Mid-term examination No file found
8 Local linear approximation, differentials; L’Hopital’s rule; Indeterminate forms. No file found
9 Analysis of functions I: increase decrease and concavity; No file found
10 Analysis of functions II: relative extrema; graphing polynomials. No file found
11 Analysis of functions III: Rational functions, cusps, and vertical tangents; No file found
12 Absolute maxima and minima; Roll’s theorem; No file found
13 Mean value theorem; The indefinite integral. No file found
14 Final Examination No file found

SOURCE MATERIALS & RECOMMENDED READING
1-calculus Early Transcendentals eighth edition, James Stewart McMaster University and University of Toronto

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 Adequate knowledge in mathematics, physical sciences and the engineering subjects of individual branches; the ability to implement theoretical and practical knowledge in the respective areas to modeling and solving engineering problems. X
2 Ability to identify, define, formulate and solve complex engineering problems; ability to select and implement the appropriate analysis and modeling methods in this respect. X
3 Ability to design and conduct experiments for analyzing engineering problems or research subjects specific to the discipline, to collect data, to analyze and interpret the results. X
4 Ability to use, choose and develop modern techniques and means required for engineering applications; ability to use information technologies effectively. X
5 Ability to design a complex system, process, device or product to meet specific requirements under realistic restrictions and conditions; ability to implement the modern design methods for this purpose. X
Factual
No PROGRAMME LEARNING OUTCOMES LEVEL OF CONTRIBUTION*
0 1 2 3 4 5
1 Information about the effects of engineering applications on health, environment and safety in terms of universal and social aspects and information about the problems of the era; awareness about the legal results of engineering solutions. X
SKILLS
Cognitive
No PROGRAMME LEARNING OUTCOMES LEVEL OF CONTRIBUTION*
0 1 2 3 4 5
1 Ability to communicate efficiently both in oral and written ways in Turkish; knowledge of at least one foreign language; ability to effectively prepare reports and understand written reports, prepare design and production reports, effective presentation, giving and receiving clear and understandable instructions. X
2 Acting in line with ethical principles, sense of professional and ethical responsibility; knowledge on the standards of engineering applications. X
3 Ability to work effectively in interdisciplinary and multi-disciplinary teams and individual works. X
4 Knowledge of applications in business life like project management, risk management and change management; awareness about entrepreneurship, innovativeness and sustainable development. X
5 Awareness of the necessity of lifelong learning; ability to reach information, follow the latest developments in science and technology; ability to ensure self-renewal perpetually. X
6 Ability to identify potential market opportunities and develop new, creative solutions which meet customer needs and wishes. X
7 Ability to apply entrepreneurial skills both in new ventures and within well-established organizations X
Practical
No PROGRAMME LEARNING OUTCOMES LEVEL OF CONTRIBUTION*
0 1 2 3 4 5
1 An ability to apply leadership principles to gather and lead an organization around a shared vision 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 Designs a complex system, process, device or product to meet specific requirements under realistic restrictions and conditions; implements the modern design methods. X
Learning to Learn
No PROGRAMME LEARNING OUTCOMES LEVEL OF CONTRIBUTION*
0 1 2 3 4 5
1 Useses , chooses and develops modern techniques required for engineering applications; uses information technologies effectively. X
2 Be aware of the necessity of lifelong learning; reaches information, follows the latest developments in science and technology; ensures self-renewal perpetually. X
Communication & Social
No PROGRAMME LEARNING OUTCOMES LEVEL OF CONTRIBUTION*
0 1 2 3 4 5
1 Works effectively in interdisciplinary and multi-disciplinary teams and individual works. X
2 Effective communication in Turkish oral and written; At least one foreign language is known; Understand effective report writer and written reports, prepare design and production reports, make effective presentations, give clear and understandable instructions X
3 Acts in line with ethical principles, sense of professional and ethical responsibility; knows the standards of engineering applications. X
Occupational and/or Vocational
No PROGRAMME LEARNING OUTCOMES LEVEL OF CONTRIBUTION*
0 1 2 3 4 5
1 Demonstrates knowledge about convenient analytical and experimental techniques together with computing methods that provide system integration X
2 Demonstrates ability in design, development, application and improvement of integrated systems that include human being, material, knowledge, equipment and energy 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 attributes of functions and also their inverses;1 (3), 2 (4), 3 (3), 4 (3), 5 (3), 6 (4), 7 (3), 8 (3), 9 (4), 10 (4), 11 (4), 12 (3), 13 (3), 15 (4), 16 (3), 17 (3), 18 (4), 19 (4), 20 (3), 21 (3), 22 (3)
2  Comprehend rational, polynomials, transcendental (trigonometric, logarithmic, exponential) and inverse-trigonometric functions;1 (4), 2 (3), 3 (3), 4 (3), 5 (4), 6 (3), 7 (4), 8 (4), 9 (3), 10 (3), 11 (4), 12 (4), 13 (4), 15 (3), 16 (3), 17 (3), 18 (4), 19 (4), 20 (4), 21 (3), 22 (3)
3  Distinguish range, domain and how to draw graphs, apply function, its first derivative and also second derivative;1 (3), 2 (3), 3 (4), 4 (3), 5 (4), 6 (4), 7 (4), 8 (3), 9 (4), 10 (3), 11 (3), 12 (4), 13 (4), 15 (4), 16 (4), 17 (3), 18 (4), 19 (3), 20 (4), 21 (4), 22 (4)
4  Apply the definition of limits and continuity to solve the problem and also apply the procedures of differentiation which are consist of implicit and logarithmic differentiation;1 (3), 2 (3), 3 (4), 4 (4), 5 (3), 6 (4), 7 (4), 8 (3), 9 (4), 10 (4), 11 (3), 12 (4), 13 (3), 15 (3), 16 (4), 17 (4), 18 (3), 19 (4), 20 (4), 21 (4), 22 (4)
5  Apply the differentiation procedures to solve related rates and extreme value problems and obtain the linear approximations of functions and to approximate the values of functions;1 (3), 2 (4), 3 (4), 4 (4), 5 (4), 6 (4), 7 (3), 8 (4), 9 (4), 10 (4), 11 (3), 12 (4), 13 (3), 15 (4), 16 (3), 17 (3), 18 (3), 19 (3), 20 (3), 21 (4), 22 (3)

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.