Code |
Name of the Course Unit |
Semester |
In-Class Hours (T+P) |
Credit |
ECTS Credit |
MTH106 |
MATHEMATICS II |
2 |
5 |
4 |
6 |
GENERAL INFORMATION |
Language of Instruction : |
English |
Level of the Course Unit : |
BACHELOR'S DEGREE, TYY: + 6.Level, EQF-LLL: 6.Level, QF-EHEA: First Cycle |
Type of the Course : |
Compulsory |
Mode of Delivery of the Course Unit |
- |
Coordinator of the Course Unit |
Assist.Prof. SERKAN GÖNEN |
Instructor(s) of the Course Unit |
|
Course Prerequisite |
No |
OBJECTIVES AND CONTENTS |
Objectives of the Course Unit: |
To teach the students real functions, trigonometric and exponential functions, limit
and derivative concepts and analysis, indefinite and definite integrals and solutions. |
Contents of the Course Unit: |
Real Functions, Trigonometric and Exponential Functions, Limit and Derivative
Concepts and Analysis, Indefinite and Definite Integrals and Solutions. |
KEY LEARNING OUTCOMES OF THE COURSE UNIT (On successful completion of this course unit, students/learners will or will be able to) |
The students who take the course will be able to;
I. Know trigonometric, exponential and logarithmic functions.
II. Know and develop limit and derivative concepts.
III. Able to perform applications about limit and derivative.
Can achieve solutions for indefinite and definite integrals. |
WEEKLY COURSE CONTENTS AND STUDY MATERIALS FOR PRELIMINARY & FURTHER STUDY |
Week |
Preparatory |
Topics(Subjects) |
Method |
1 |
Literature Research |
Definition and Scope of Course |
Expression |
2 |
Literature Research |
Real Numbers, Complex Numbers and Related Problem and Solutions |
Expression |
3 |
Literature Research |
Identities, Algebraic Equations and Related Analyzes |
Expression |
4 |
Literature Research |
Limit, Limit Rules, Calculation of Limit Values of a Function |
Expression |
5 |
Literature Research |
Uncertain Cases at Limits, Applications of L'Hospital Rule. |
Expression |
6 |
Literature Research |
Algebraic and Geometric Meanings of Derivative, Rules of Derivation, |
Expression |
7 |
Literature Research |
Derivatives of Trigonometric Functions and Applications |
Expression |
8 |
- |
MID-TERM EXAM |
- |
9 |
Literature Research |
Derivatives of Trigonometric Functions and Applications |
Expression |
10 |
Literature Research |
Derivatives of Transcendental Functions, Problem Solutions of These Subject |
Expression |
11 |
Literature Research |
Definition of Integral, Formulas, Integration Methods |
Expression |
12 |
Literature Research |
Integral Applications by Simple Fractions Method |
Expression |
13 |
Literature Research |
Integral Applications by Change of Variables Method |
Expression |
14 |
Literature Research |
Integral of Transcendental Functions and Related Analyzes |
Expression |
15 |
Literature Research |
Definition of The Definite integral, Formulas and Methods |
Expression |
16 |
- |
FINAL EXAM |
- |
17 |
- |
FINAL EXAM |
- |
SOURCE MATERIALS & RECOMMENDED READING |
Temel ve Genel Matematik, H. Hilmi Hacısalihoğlu, Mustafa Balcı, Ankara,
1996. |
Yüksek Matematik Problemleri, A. Karadeniz, Çağlayan Kitabevi, İstanbul,
2003. |
Diferansiyel ve İntegral Hesap, W. A. Granville, P. F. Smith, W. R. Longley.
Çeviren: Naci İskender, İstanbul, 1954. |
ASSESSMENT |
Assessment & Grading of In-Term Activities |
Number of Activities |
Degree of Contribution (%) |
Description |
Level of Contribution |
0 |
1 |
2 |
3 |
4 |
5 |
CONTRIBUTION OF THE COURSE UNIT TO THE PROGRAMME LEARNING OUTCOMES
KNOWLEDGE |
Theoretical |
|
Programme Learning Outcomes |
Level of Contribution |
0 |
1 |
2 |
3 |
4 |
5 |
1 |
Ability to identify, analyze, design, model and solve complex engineering problems based on engineering, science and mathematics fundamentals
|
|
|
|
|
|
|
KNOWLEDGE |
Factual |
|
Programme Learning Outcomes |
Level of Contribution |
0 |
1 |
2 |
3 |
4 |
5 |
1 |
Ability to apply engineering design to produce solutions that meet specific needs, taking into account global, cultural, social, environmental and economic factors as well as public health, safety and well-being
|
|
|
|
|
|
|
SKILLS |
Cognitive |
|
Programme Learning Outcomes |
Level of Contribution |
0 |
1 |
2 |
3 |
4 |
5 |
1 |
Ability to communicate effectively with various stakeholders
|
|
|
|
|
|
|
SKILLS |
Practical |
|
Programme Learning Outcomes |
Level of Contribution |
0 |
1 |
2 |
3 |
4 |
5 |
1 |
The ability to recognize ethical and professional responsibilities in engineering and make informed decisions considering the impact of engineering solutions in their global, economic, environmental and social contexts
|
|
|
|
|
|
|
OCCUPATIONAL |
Autonomy & Responsibility |
|
Programme Learning Outcomes |
Level of Contribution |
0 |
1 |
2 |
3 |
4 |
5 |
1 |
The ability to recognize ethical and professional responsibilities in engineering and make informed decisions considering the impact of engineering solutions in their global, economic, environmental and social contexts
|
|
|
|
|
|
|
OCCUPATIONAL |
Learning to Learn |
|
Programme Learning Outcomes |
Level of Contribution |
0 |
1 |
2 |
3 |
4 |
5 |
1 |
Ability to acquire new knowledge and find ways to apply it when necessary, using appropriate learning strategies
|
|
|
|
|
|
|
OCCUPATIONAL |
Communication & Social |
|
Programme Learning Outcomes |
Level of Contribution |
0 |
1 |
2 |
3 |
4 |
5 |
1 |
Ability to work effectively in a team where its members lead together, create a collaborative and inclusive environment, set goals, plan tasks, and meet goals
|
|
|
|
|
|
|
OCCUPATIONAL |
Occupational and/or Vocational |
|
Programme Learning Outcomes |
Level of Contribution |
0 |
1 |
2 |
3 |
4 |
5 |
1 |
Ability to design and conduct appropriate experiments, analyze and interpret data, and apply engineering principles to draw conclusions
|
|
|
|
|
|
|
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 |
5 |
70 |
Preliminary & Further Study |
14 |
2 |
28 |
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 |
Final Exam |
1 |
2 |
2 |
Preparation for the Final Exam |
1 |
25 |
25 |
Mid-Term Exam |
1 |
2 |
2 |
Preparation for the Mid-Term Exam |
1 |
20 |
20 |
Short Exam |
0 |
0 |
0 |
Preparation for the Short Exam |
0 |
0 |
0 |
TOTAL |
32 |
0 |
147 |
|
Total Workload of the Course Unit |
147 |
|
|
Workload (h) / 25.5 |
5,8 |
|
|
ECTS Credits allocated for the Course Unit |
6,0 |
|