﻿ MAT101

MAT101

Course Title Course Code Program Level
CALCULUS I MAT101 Statistics B.A. / B.Sc.

Course Term
(Course Semester)
Teaching and Learning Methods
Credits
Theory Practice Lab Projects/Field Work Seminars/Workshops Other Total Credits ECTS Credits
01
(Fall)
42 82 126 3 5

Teaching Staff
Language of Instruction Türkçe (Turkish)
Type Of Course Compulsory
Prerequisites None
Recommended Optional Programme Component
Course Objectives Purpose is to give basic calculus concepts with analytic approach.
Course Content This course introduces fundamental theorem of calculus including limits, derivatives and applications.
Learning Outcomes (LO) Students will be able to use and apply calculus methods to real life problems.
Mode of Delivery Face to face
Course Outline
Week Topics
1. Week Real numbers and real line, Cartesian coordinates
2. Week Graphs of quadratic equations, functions
3. Week Combining functions to make new functions, Trigonometric functions
4. Week Limits of functions, limits of infinity and finite limits
5. Week Continuity, formal definition of limit, chapter review
6. Week Tangent lines and their slopes, derivative, differention
7. Week The chain rule, derivatives of trigonometric function
8. Week The mean-value theorem, using derivatives, higher order derivatives
9. Week Implicit differention, antiderivatives, and initial value
10. Week Velocity and acceleration, chapter review
11. Week Inverse functions, exponential and logarithmic functions
12. Week The national logarithm and exponential, the inverse trigonometric functions
13. Week Hyperbolic functions, extreme value, some application of derivatives
14. Week Extreme value problems, Taylor polynomials
Assessment
 Percentage(%) Mid-term (%) 40 Quizes (%) Homeworks/Term papers (%) Practice (%) Labs (%) Projects/Field Work (%) Seminars/Workshops (%) Final (%) 60 Other (%) Total(%) 100
Course Book (s) and/or References • BALCI, Mustafa., Genel Matematik, Balcı Yayınları. • ADAMS, A. Robert., Calculus, Addison-Wesley Yayınları. • SYDSAETER Knut, HAMMOND Peter., Temel Matematik(Ekonomik Analiz için), Tercüme
Work Placement(s)
The Relationship between Program Qualifications (PQ) and Course Learning Outcomes (LO)