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MA1120 - Calculus - II


Syllabus

Integral Calculus: Functions of several variables: Slides
Lecture Contents
Lecture 1 - 05/09/2024 Riemann sums and integrals, examples, properties
Lecture 2 - 09/09/2024 Area between curves, volume by slicing, volumes of solids of revolution
Lecture 3 - 12/09/2024 Arc Length, Areas of Surfaces of Revolution
Lecture 4 - 19/09/2024 Improper integrals
Lecture 5 - 23/09/2024 Functions of several variables: Limits and Continuity
Lecture 6 - 26/09/2024 Functions of several variables: Continuity and Partial derivatives
Lecture 7 - 30/09/2024 Functions of several variables: Chain rule and directional derivatives
Lecture 8 - 03/10/2024 Functions of several variables: Maxima and Minima
Lecture 9 - 14/10/2024 More about gradients and Lagrange multipliers method (Single constraint)
Lecture 10 - 17/10/2024 Lagrange multipliers method (More than one constraint), Tangent Planes and Differentials.
  • Text books:
  • Problems sheets: Some interesting stuffs: