Title: Numerical Analysis

Role: Instructor — Course Instructors can do anything within a course, including changing the activities and grading students.

Role: Participant — Students generally have fewer privileges within a course.

Course Description
  Course Outline
  Welcome note
Module 1: Errors and Interpolation
  Lecture 1: Errors in Numerical Computations
  Lecture 2: Polynomial Interpolation
  Review Questions
  Forum Discussion for Module 1
  Video: Rounding off and truncation errors
  Video: lagrange interpolation formula
  Module 1: References
  Module 1 Assignment
  Self test Quiz for Module 1
  Feedback on Module 1
Module 2: Finite Difference Operators and Formulas
  Lecture 3: Finite Difference Operators
  Lecture 4: Finite Difference Formulas
  Video: Derivation of Newton Forward Difference Formula
  Video:Stirling central Difference Interpolation Formula
  Forum Module 2
  Module 2 Review Questions
  Module 2 References
  Module 2 Assignment
  Module 2 Self Test Quiz
  Feedback on Module 2
Module 3: Numerical Integration
  Lecture 5: Numerical Integration Trapezoidal and Simpson's Rule
  Lecture 6: Numerical Integration the Romberg Scheme and Gauss Quadrature
  Module 3 References
  Video: Trapezoidal and the Simpson's Rules
  Video: Gauss Quadrature
  Module 3: Forum discussion
  Review Questions
  Module 3 Assignment
  Feedback on Module 3
  Module 3 Self test Quiz
Module 4: Roots of Non Linear Functions
  Lecture 7: Roots of continuous non-linear functions
  Lecture 8: The Newton Method
  Module 4: References
  Module 4 Review Questions
  Forum Discussion Module 4
  Video: Two Dimensional Newton Raphson Formula
  Video: The Bisection method
  Module 4 Assignment
  Module 4 Self test Quiz
  Feedback on Module 4
Module 5: Direct Methods for Solving Linear Systems
  Lecture 9: Direct Methods of Solving Linear Systems
  Moduke 5 Forum Discussion
  Video: Gauss elimination
  Module 5 Assignment
  Module 5 Review Question
  Video: LU Decomposition
  Module 5: References
  Module 5 Self Test Quiz
  Feedback on Module 5
Module 6: Iterative Methods for Linear Systems
  Lecture 10: Linear Systems Iterative methods
  Video: The Gauss Seidel Method
  Video: The Power method
  Video: The Power method
  Module 6 Review Questions
  Module 6 Assignment
  Module 6 References
  Feedback on Module 6
  Module 6 Self Check Quiz
Glossary
  Glossary
Question bank and Course References
  Reference material
  Question Bank
Course Review
  Course review