Code | Name of the Course Unit | Semester | In-Class Hours (T+P) | Credit | ECTS Credit |
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MTH105 | MATHEMATICS I | 1 | 5 | 4 | 6 |
GENERAL INFORMATION |
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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. AHMAD RESHAD NOORI |
Instructor(s) of the Course Unit | Assist.Prof. MEHMET ARSLAN-Assist.Prof. SAJEDEH NOROZPOUR SIGAROODI-Assist.Prof. ŞEYMA ÇETİN-Assist.Prof. TARIK ARABACI |
Course Prerequisite | No |
OBJECTIVES AND CONTENTS |
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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) |
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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 |
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Week | Preparatory | Topics(Subjects) | Method |
1 | Literatür Araştırması | Basic Concepts on mathematics (Sets, Real Numbers, Intervals, Absolute Value) | Anlatım |
2 | Literatür Araştırması | Functions (Polynomial Functions, Rational Function, Absolute Value Function, Sign Function, Combination of Functions, Concept of Inverse Function, Exponential and Logarithmic Functions, Trigonometric and Inverse Trigonometric Functions | Anlatım |
3 | Literatür Araştırması | Limits (Limit (Limit of a Function and Limit Rules, Sandwich Theorem, Exact Definition of Limit, One Sided Limits, Infinite Limits) | Anlatım |
4 | Literatür Araştırması | Continuity (Continuity at a point, Continuous Functions, Intermediate Value Theorem, Types of Discontinuities), Limits at Infinity | Anlatım |
5 | Literatür Araştırması | Algebraic and geometric meanings of derivative, differentiation rules, Chain Rule | Anlatım |
6 | Literatür Araştırması | Derivatives of trigonometric functions, Derivatives of exponential functions, Derivatives of logarithmic functions, Derivative of Implicit Functions | Anlatım |
7 | Literatür Araştırması | Higher Order Derivatives, Applications of Derivative, Important Theorems (Rolle's Theorem, Mean Value Theorem, First Derivative Test for Local Extremes, Concavity, Second Derivative Test for Concavity, Inflection Points, Second Derivative Test for Local Extremes) | Anlatım |
8 | - | MID-TERM EXAM | - |
9 | Literatür Araştırması | Curve Sketching, L'Hospital Rule | Anlatım |
10 | Literatür Araştırması | Integral Definition, formulas, integration methods | Anlatım |
11 | Literatür Araştırması | Substitution method and Integration by Parts | Anlatım |
12 | Literatür Araştırması | Integration of Rational Functions by Partial Fractions | Anlatım |
13 | Literatür Araştırması | Riemann sums, Sigma (Sum symbol) properties, Fundamental theorem of Calculus | Anlatım |
14 | Literatür Araştırması | Review by Problem Session | Anlatım |
15 | Literatür Araştırması | FINAL EXAM | Anlatım |
16 | - | FINAL EXAM | - |
17 | - | FINAL EXAM | - |
SOURCE MATERIALS & RECOMMENDED READING |
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James Stewart, Calculus |
George B. Thomas, Calculus |
Prof. Dr. Mustafa Balcı, Çözümlü Genel Matematik Problemleri 1 |
Naci İskender, Yüksek Matematik |
ASSESSMENT |
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Assessment & Grading of In-Term Activities | Number of Activities | Degree of Contribution (%) | Description |
Level of Contribution | |||||
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0 | 1 | 2 | 3 | 4 | 5 |
KNOWLEDGE |
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Theoretical |
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Programme Learning Outcomes | Level of Contribution | ||||||
0 | 1 | 2 | 3 | 4 | 5 | ||
1 |
Consider the formal systems used in civil engineering and discusses different method
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4 |
SKILLS |
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Cognitive |
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Programme Learning Outcomes | Level of Contribution | ||||||
0 | 1 | 2 | 3 | 4 | 5 | ||
1 |
Civil engineering design for the project presentation to the correct expression is the formnül
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5 |
OCCUPATIONAL |
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Autonomy & Responsibility |
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Programme Learning Outcomes | Level of Contribution | ||||||
0 | 1 | 2 | 3 | 4 | 5 | ||
1 |
Able to work independently in the field of civil engineering in the production and take responsibility for these issues
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1 |
OCCUPATIONAL |
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Learning to Learn |
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Programme Learning Outcomes | Level of Contribution | ||||||
0 | 1 | 2 | 3 | 4 | 5 | ||
1 |
As a requirement of civil engineering monitors current changes.
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2 |
OCCUPATIONAL |
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Communication & Social |
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Programme Learning Outcomes | Level of Contribution | ||||||
0 | 1 | 2 | 3 | 4 | 5 | ||
1 |
As an individual becomes aware of social and professional responsibility.
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1 |
OCCUPATIONAL |
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Occupational and/or Vocational |
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Programme Learning Outcomes | Level of Contribution | ||||||
0 | 1 | 2 | 3 | 4 | 5 | ||
1 |
The powers and responsibilities of civil engineering and construction management takes place within.
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1 |
WORKLOAD & ECTS CREDITS OF THE COURSE UNIT |
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Workload for Learning & Teaching Activities |
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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 | 1 | 14 |
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 | 35 | 35 |
Mid-Term Exam | 1 | 2 | 2 |
Preparation for the Mid-Term Exam | 1 | 25 | 25 |
Short Exam | 0 | 0 | 0 |
Preparation for the Short Exam | 0 | 0 | 0 |
TOTAL | 32 | 0 | 148 |
Total Workload of the Course Unit | 148 | ||
Workload (h) / 25.5 | 5,8 | ||
ECTS Credits allocated for the Course Unit | 6,0 |