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	4	-	-
Course Language		Turkish
Course Coordinator		Fatma Özdemir
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
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