MTH301 IITK

Will you please help me here to get the MTH 301 Analysis I program syllabus issued by Indian Institute of Technology Kanpur?

No issues I will get the Indian Institute of Technology Kanpur, MTH 301 Analysis I program syllabus so that you can get idea.

Here is the syllabus

Course Content
Real number system and set theory : Completeness property, Archimedian property, Denseness of rationals and irrationals, Countable and uncountable, Cardinality, Zorn's lemma, Axiom of choice.

Metric spaces: Open sets, Closed sets, Continuous functions, Completeness, Cantor intersection theorem, Baire category theorem, Compactness, Totally boundedness, Finite intersection property.

Functions of several variables: Differentiation, inverse and implicit function theorems.

Rlemann-Stieitjes integral: Definition and existence of the integral, Properties of the integral, Differentiation and integration.

Sequence and Series of functions: Uniform convergence, Uniform convergence and continuity, Uniform convergence and integration, Uniform convergence and differentiation. Equicontinuity, Ascoli's Theorem.

Prerequisite: This course assumes knowledge of MTH 101.

Grading
Homeworks/Quizzes : 35%
Midterm Exam : 25%
Final : 40%

Home works
Home works will be assigned reguarly and will be due in class.

Home works are meant to help you learn the material regularly and unless you do them by yourself, you will not be able to do well on the tests. Its also good to do as many practice problems as possible.


Address:-
Indian Institute of Technology Kanpur
Kalyanpur, Kanpur, Uttar Pradesh 208016

Phone:-
0512 259 0151

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