At the end of this course, the students; 1) Will be able to do applications for all the topics in the content of the course, 2) Will be able to understand all the theorems and the proofs of these theorems and apply proofs and apply all of these theorems in the application fields, 3) Will be able realize the relation between the topics in the content of the course and the other fields.
MODE OF DELIVERY
Face to face
PRE-REQUISITES OF THE COURSE
No
RECOMMENDED OPTIONAL PROGRAMME COMPONENT
None
COURSE DEFINITION
Real numbers, the set concept and operations on sets, relations, functions, inverse function, limits and its theorems, continuity, derivatives, applications of derivative, and sketching graphs of functions.
COURSE CONTENTS
WEEK
TOPICS
1st Week
Sets,Number Sets. Absolute value of Real numbers, Ordering relation in Real numbers,
2nd Week
Irrational numbers and exponential forms.Polinomials factoring
3rd Week
Analytic geometry in plane.
4th Week
Functions, Domain sets of functions. Odd function, Even function, Increasing-decreasing function, Periodic funtion,Implicit function, Parametric function, İnverse function, Composite function.
5th Week
Trigonometric functions, Trigonometric relations, solutions of trigonometric equations.
6th Week
Exponential and logarithmic functions and graphs.
7th Week
Absolute value function, Greatest integer function, Signum function and properties of these, sketch of graphs relations and functions
8th Week
Midterm Exam
9th Week
Limit, Right-Left-hand limit,division of zero by zero, division of infinite by infinite, multiplication of zero with infinite, substraction of infinitive from infinitive, are indeterminate forms, Continuity, Right-Left-hand continuity, Discontinuity.Derivative, Geometry of derivative, Rules of derivative.
10th Week
The Chain rule, Derivative of implicit function, Derivative of trigonometric function, Derivatives of exponential and logaritmic functions.
11th Week
Applications of derivative, The L'Hospital's rule.
12th Week
Exponential indeterminateness.
13th Week
Maximum and minimum problems.
14th Week
Sketch of graphs functions
RECOMENDED OR REQUIRED READING
1) Adams, Robert A. Calculus. 2) Prof. Dr Mustafa Balcı Genel Matematik 3) Bradley, Gerald L.-Smith, Karl J. Calculus. 4) Prof.Dr.H.Hilmi Hacısalihoğlu Temel ve Genel Matematik cilt 1
PLANNED LEARNING ACTIVITIES AND TEACHING METHODS
Lecture,Other
ASSESSMENT METHODS AND CRITERIA
Quantity
Percentage(%)
Mid-term
1
40
Practice
2
10
Total(%)
50
Contribution of In-term Studies to Overall Grade(%)
50
Contribution of Final Examination to Overall Grade(%)
50
Total(%)
100
LANGUAGE OF INSTRUCTION
Turkish
WORK PLACEMENT(S)
No
KEY LEARNING OUTCOMES (KLO) / MATRIX OF LEARNING OUTCOMES (LO)