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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
The Number System
Wikipedia on limsup and liminf
Wikipedia on limsup and liminf
Slightly more general than required for this course.
Click
https://en.wikipedia.org/wiki/Limit_superior_and_limit_inferior
link to open resource.
◄ Solutions to Assignment 3
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Logisitics
Course Outline
Apostol's "Calculus"
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
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
Limits ►
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