TYPE OF COURSE UNIT | Compulsory Course |
LEVEL OF COURSE UNIT | Bachelor's Degree |
YEAR OF STUDY | 1 |
SEMESTER | First Term (Fall) |
NUMBER OF ECTS CREDITS ALLOCATED | 4 |
NAME OF LECTURER(S) | Instructor Ayhan Aksoy
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LEARNING OUTCOMES OF THE COURSE UNIT |
At the end of this course, the students; 1) Attain mathematical thinking and develop their analytical and critical skills. 2) Apply their mathematicak skills to various fields of learning. 3) Use their knowledge in mathematics in their field professionally and become qualified and well-educated individuals.
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MODE OF DELIVERY | Face to face |
PRE-REQUISITES OF THE COURSE | No |
RECOMMENDED OPTIONAL PROGRAMME COMPONENT | None |
COURSE DEFINITION | In this course, students learn to analyze the basic concepts of Calculus such as Limit in functions,Continiuity and Differential. |
COURSE CONTENTS | WEEK | TOPICS |
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1st Week | Preliminaries,real numbers and the real line, cartesian coordinates in the plane,graphs of quadratic equations | 2nd Week | Functions and their graphs, the trigonometric functions | 3rd Week | Limis of functions, one-sided limits | 4th Week | Limits at infinity and infinite limits | 5th Week | Continuity | 6th Week | Differentiation, tangent lines and their slopes, differentiation rules | 7th Week | The chain rule, derivatives of trigonometric functions | 8th Week | Midterm Exam | 9th Week | Increasing and decreasing functions, higher-order derivatives,implicit differentiation | 10th Week | Inverse functions,exponential and logaritmic functions | 11th Week | Extreme values,concavity and inflections | 12th Week | Scetching the graph of a functions | 13th Week | Extreme value problems | 14th Week | Indeterminate forms |
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RECOMENDED OR REQUIRED READING | CALCULUS-A complete course Robert A: Adams. CALCULUS with Analytic Geometry. G.B.THOMASand R.L.Finney. |
PLANNED LEARNING ACTIVITIES AND TEACHING METHODS | Lecture,Questions/Answers,Problem Solving |
ASSESSMENT METHODS AND CRITERIA | | Quantity | Percentage(%) |
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Mid-term | 1 | 40 | Quiz | 1 | 10 | Total(%) | | 50 | Contribution of In-term Studies to Overall Grade(%) | | 50 | Contribution of Final Examination to Overall Grade(%) | | 50 | Total(%) | | 100 |
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ECTS WORKLOAD |
Activities |
Number |
Hours |
Workload |
Midterm exam | 1 | 2 | 2 | Preparation for Quiz | 2 | 10 | 20 | Individual or group work | | | | Preparation for Final exam | 1 | 30 | 30 | Course hours | 13 | 3 | 39 | Preparation for Midterm exam | 1 | 25 | 25 | Laboratory (including preparation) | | | | Final exam | 1 | 2 | 2 | Homework | | | | Quiz | 2 | 1 | 2 | Total Workload | | | 120 |
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Total Workload / 30 | | | 4 |
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ECTS Credits of the Course | | | 4 |
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LANGUAGE OF INSTRUCTION | English |
WORK PLACEMENT(S) | No |
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