At the end of this course, the students; 1) Attain mathematical thinking and develop their analytical and critical skills. 2) Apply their mathematic skills to various fields of learning. 3) Use their knowledge in mathematics in their field professionally and become qualified and well-educated individuals.
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
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
Limits 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
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,Problem Solving,Questions/Answers
ASSESSMENT METHODS AND CRITERIA
Quantity
Percentage(%)
Mid-term
1
40
Total(%)
40
Contribution of In-term Studies to Overall Grade(%)
40
Contribution of Final Examination to Overall Grade(%)
60
Total(%)
100
ECTS WORKLOAD
Activities
Number
Hours
Workload
Midterm exam
1
2
2
Preparation for Quiz
Individual or group work
14
1,5
21
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
Total Workload
119
Total Workload / 30
3,96
ECTS Credits of the Course
4
LANGUAGE OF INSTRUCTION
Turkish
WORK PLACEMENT(S)
No
KEY LEARNING OUTCOMES (KLO) / MATRIX OF LEARNING OUTCOMES (LO)