Math 2.0

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Calculus of One Real Variable B18X9CYV06

URIm2://res/B18X9CYV06
Kindcourse
CreatorsJoydeep Dutta (instructor)
Date2017-08-10
Scopein
Idscourse 05pjsgx75:109104124

Expressions

e1: edition

Languageen
Date2017-08-10
Contents
  • part 1: Week 1
  • session 1: Introduction to Numbers
  • session 2: Countability and Uncountability
  • session 3: Examples of Irrational numbers
  • session 4: Functions
  • session 5: Limits of Functions-I
  • part 2: Week 2
  • session 6: Limit of Functions- II
  • session 7: Continuous Functions
  • session 8: Intermediate Value Theorem
  • session 9: Maximum Value Theorem
  • session 10: Supremum and Infimum
  • part 3: Week 3
  • session 11: Derivative of a Function
  • session 12: Rules of Differentiation
  • session 13: Maxima and Minima
  • session 14: Rolle's Theorem and Lagrange Mean Value Theorem (MVT)
  • session 15: Monotonic Functions and Inverse Functions
  • part 4: Week 4
  • session 16: Newton’s Method for solving Equations
  • session 17: Optimization Problems
  • session 18: Integration-I : In the style of Newton and Leibnitz
  • session 19: Integration-II : In the spirit of Newton and Leibnitz
  • session 20: Integration-III : Newton and Leibnitz Style
  • part 5: Week 5
  • session 21: Integration theory of Riemann-I
  • session 22: Integration theory of Riemann-II
  • session 23: Integration Rule
  • session 24: Fundamental Theorem of Calculus (in Riemann style)
  • session 25: The Kurzweil-Henstock Integral (K-H Integral)
  • part 6: Week 6
  • session 26: Calculating Indefinite Integrals
  • session 27: Improper Integral-I
  • session 28: Improper Integral-II
  • session 29: Application of Definite Integral-I
  • session 30: Application of definite Integral-II
  • part 7: Week 7
  • session 31: Application of definite Integral-III
  • session 32: Application of definite Integral-III
  • session 33: Numerical Integration-I
  • session 34: Numerical Integration-II
  • session 35: Sequences
  • part 8: Week 8
  • session 36: Sequence (continued)
  • session 37: Infinite Series
  • session 38: infinite series (continued)
  • session 39: Taylor's Theorem, other issues and end of the course-I
  • session 40: Taylor's Theorem, other issues and end of the course-II

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