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MAT 214
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Course Information
Course Weekly Lecture Plan
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Course Information
Course Name
Turkish
Matemeatik IV
English
Mathematics IV
Course Code
MAT 214
Credit
Lecture
(hour/week)
Recitation
(hour/week)
Laboratory
(hour/week)
Semester

4
4


Course Language
Turkish
Course Coordinator
İbrahim Kırat
Course Objectives
1.
To teach the student the techniques and methods of Mathematical Analysis and to allow the student
to develop a certain level of proficiency in these methods.
2.
To allow the student to be able to use these techniques and methods to reinforce an understanding of
learned calculus.
Course Description
Limits of Sequences, Bounded Sequences, Sets of Real Numbers, Bounded Functions, Limits of
Functions, Monotone Functions, Continuity, Properties of Continuous Functions, Uniform Continuity,
Definition of the Integral, Properties of the Integral, Necessary and Sufficient Conditions for Riemann
Integrability, Pointwise and Uniform Convergence, Sets and
Functions in Rn, Differentiable Functions,
Implicit and Inverse Function Theorems.
Course Outcomes
A student completing this course are expected to :
I.Know the proofs of limit theorems and
use these theorems for limit calculations correctly,
II.Know the proofs of theorems on bounded, monotone, continuous and uniformly continuous
functions and use these theorems,
III.Use
necessary and sufficient conditions for Riemann integrability in determining whether a
function is Riemann integrable or not,
IV.Determine pointwise convergence or uniform convergence in function series,
V.Prove and use the Implicit and Inverse Function theorems
Prerequisite(s)
Required Facilities
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