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MTH 102 Analysis in One Variable
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SESSION 2018-19 EVEN SEM
MATHEMATICS
MTH 102 Analysis in One Variable
General
Apostol's "Calculus"
Apostol's "Calculus"
Online access to Apostol's book.
Click
http://www.matematica.net/portal/e-books/Apostol%20-%20CALCULUS%20-%20VOLUME%201%20-%20One-Variable%20Calculus,%20with%20an%20Introduction%20to%20Linear%20Algebra.pdf
link to open resource.
◄ Course Outline
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Course Outline
Goldberg's "Real Analysis"
Ross' "Elementary Analysis"
A quick recapitulation from James Brennan
Wikipedia on the (Real) Number System
Assignment 1
Solutions to Assignment 1
The Real Number System
Assignment 2
Solutions to Assignment 2
Growth of Sequences
Sequences and Series - I
Arithmetic properties of least upper bound
Assignment 3
Solutions to Assignment 3
Wikipedia on limsup and liminf
Limits
Assignment 4
Solutions to Assignment 4
Solutions to First Mid-Semester Examination
Assignment 5
Solutions to Assignment 5
Continuity and Intermediate Value Theorem
Wikipedia on Intermediate Value Property
Assignment 6
Solutions to Assignment 6
Limits of functions
Power Series
Lots of Series
Assignment 7
Solutions to Assignment 7
Inverses of Monotone Continuous Functions
Assignment 8
Solutions to Assignment 8
Norm and Uniform convergence
Assignment 9
Solutions to Assignment 9
Area under a curve
Integration of Polynomials
Solutions to Second Mid-Semester Examination
Integration
Differentiation
Assignment 10
Solutions to Assignment 10
Asymptotic behaviour
Taylor Series
Assignment 11
Solutions to Assignment 11
More power series examples
Logarithm and Exponential
Solutions of End-Semester Examination
Solution to Bonus Questions
Goldberg's "Real Analysis" ►
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