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 | 3 |
NAME OF LECTURER(S) | Professor Şeyda Kılıçoğlu
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LEARNING OUTCOMES OF THE COURSE UNIT |
At the end of this course, the students; 1) Gains the habit of thinking mathematically, can think critically and systematically. 2) Comprehends the importance of mathematics in special branch areas. 3) There will be educated people who can use mathematics easily in their own field.
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MODE OF DELIVERY | Face to face |
PRE-REQUISITES OF THE COURSE | No |
RECOMMENDED OPTIONAL PROGRAMME COMPONENT | None |
COURSE DEFINITION | Defines basic calculus knowledge like limits in functions, continuity and derivatives.
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COURSE CONTENTS | WEEK | TOPICS |
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1st Week | Preliminary information, real numbers and real axis, perpendicular coordinates in the plane, graphs of quadratic equations | 2nd Week | Function and its graph, trigonometric functions | 3rd Week | Week Limit of functions, one-way limits | 4th Week | Limits at infinity and limits at infinity | 5th Week | Continuity | 6th Week | Derivative, tangent line and slope, derivative rules | 7th Week | Week Midterm Exam | 8th Week | Chain rule, derivatives of trigonometric functions | 9th Week | Increasing and decreasing functions, higher order derivatives, derivative of implicit functions | 10th Week | Inverse, exponential and logarithmic functions | 11th Week | Extreme values, curvature and turning points | 12th Week | Function graph drawing | 13th Week | Extreme value problems | 14th Week | Indefinite forms |
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RECOMENDED OR REQUIRED READING | 1. CALCULUS-A complete course Robert A: Adams. 2. CALCULUS with Analytic Geometry. G.B.THOMASand R.L.Finney. |
PLANNED LEARNING ACTIVITIES AND TEACHING METHODS | Lecture,Problem Solving,Questions/Answers |
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 | 1 | 1 | Preparation for Quiz | 1 | 3 | 3 | Individual or group work | 14 | 3 | 42 | Preparation for Final exam | 1 | 10 | 10 | Course hours | 14 | 2 | 28 | Preparation for Midterm exam | 1 | 5 | 5 | Laboratory (including preparation) | 0 | 0 | 0 | Final exam | 1 | 2 | 2 | Homework | 0 | 0 | 0 | Total Workload | | | 91 |
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Total Workload / 30 | | | 3,03 |
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ECTS Credits of the Course | | | 3 |
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LANGUAGE OF INSTRUCTION | Turkish |
WORK PLACEMENT(S) | No |
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