Math 2.0

Resources / course

Basic Calculus 1 and 2 K7QS764A3Y

URIm2://res/K7QS764A3Y
Kindcourse
CreatorsParasar Mohanty (instructor)
Date2021-02-12
Scopein
Idscourse 05pjsgx75:111104144

Expressions

e1: edition

Languageen
Date2021-02-12
Contents
  • part 1: Week 1: Real number system and Limits
  • session 1: Lecture 1: Real numbers and Archimedean property
  • session 2: Lecture 2: Supremum and Decimal representation of Reals
  • session 3: Lecture 3: Functions
  • session 4: Lecture 4: Functions continued and Limits
  • session 5: Lecture 5: Limits continued.
  • part 2: Week 2: Continuity and Differentiation of functions
  • session 6: Lecture 6: Limits (continued) and Continuity
  • session 7: Lecture 7: Continuity and Intermediate Value Property
  • session 8: Lecture 8: Differentiation
  • session 9: Lecture 9: Chain Rule
  • session 10: Lecture 10: Nth derivative of a function
  • part 3: Week 3: Plotting graph of functions
  • session 11: Lecture 11: Local extrema and Rolle's theorem
  • session 12: Lecture 12: Mean value theorem and Monotone functions
  • session 13: Lecture 13: Local extremum tests
  • session 14: Lecture 14: Concavity and points of inflection
  • session 15: Lecture 15: Asymptotes and plotting graph of functions.
  • part 4: Week 4: L'Hospital Rule and Integration
  • session 16: Lecture 16: Optimization and L'Hospital Rule
  • session 17: Lecture 17: L'Hospital Rule continued and Cauchy Mean value theorem
  • session 18: Lecture 18: Approximation of Roots
  • session 19: Lecture 19: Antiderivative and Riemann Integration
  • session 20: Lecture 20: Riemann's criterion for Integrability
  • part 5: Week 5: Integration and its numerical methods
  • session 21: Lecture 21: Integration and its properties
  • session 22: Lecture 22: Area and Mean value theorem for integrals
  • session 23: Lecture 23: Fundamental theorem of Calculus
  • session 24: Lecture 24: Integration by parts and Trapezoidal rule
  • session 25: Lecture 25: Simpson's rule and Substitution in integrals
  • part 6: Week 6: Applications of Integration
  • session 26: Lecture 26: Area between curves
  • session 27: Lecture 27: Arc Length and Parametric curves
  • session 28: Lecture 28: Polar Co-ordinates
  • session 29: Lecture 29: Area of curves in polar coordinates
  • session 30: Lesson 30: Volume of solids
  • part 7: Week 7: Improper Integrals, Sequences and Series
  • session 31: Lecture 31: Improper Integrals
  • session 32: Lecture 32: Sequences
  • session 33: Lecture 33: Algebra of sequences and Sandwich theorem
  • session 34: Lecture 34: Subsequences
  • session 35: Lecture 35: Series
  • part 8: Week 8: Series and its convergence
  • session 36: Lecture 36: Comparison tests for Series
  • session 37: Lecture 37: Ratio and Root test for series
  • session 38: Lecture 38: Integral test and Leibniz test for series
  • session 39: Lecture 39: Revision I
  • session 40: Lecture 40: Revision II

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