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COURSE UNIT TITLECOURSE UNIT CODESEMESTERTHEORY + PRACTICE (Hour)ECTS
MATHEMATICS I BÖTE103 First Term (Fall) 2 + 2 8

TYPE OF COURSE UNITCompulsory Course
LEVEL OF COURSE UNITBachelor's Degree
YEAR OF STUDY1
SEMESTERFirst Term (Fall)
NUMBER OF ECTS CREDITS ALLOCATED8
NAME OF LECTURER(S)-
LEARNING OUTCOMES OF THE COURSE UNIT 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 DELIVERYFace to face
PRE-REQUISITES OF THE COURSENo
RECOMMENDED OPTIONAL PROGRAMME COMPONENTNone
COURSE DEFINITIONReal 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
WEEKTOPICS
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 READING1) 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 METHODSLecture,Other
ASSESSMENT METHODS AND CRITERIA
 QuantityPercentage(%)
Mid-term140
Practice210
Total(%)50
Contribution of In-term Studies to Overall Grade(%)50
Contribution of Final Examination to Overall Grade(%)50
Total(%)100
LANGUAGE OF INSTRUCTIONTurkish
WORK PLACEMENT(S)No
  

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