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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
Limits
Limits
Lecture notes on limits of sequences of real numbers
Click
limits.pdf
link to view the file.
◄ Wikipedia on limsup and liminf
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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
Wikipedia on limsup and liminf
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
Assignment 4 ►
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