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• Lecture 1:Introduction
• Lecture 2:Basics of Mathematical Methods
• Lecture 3:Measuring Errors
• Lecture 4:Sources of Error
• Lecture 5:Binary Representation
• Lecture 6: Floating Point Representation
• Lecture 7: Propagation of Errors
• Lecture 8: Taylor Series Revisited
• Lecture 9: Differentiation of Continuous Functions
• Lecture 10: Differentiation of Discrete Functions
• Lecture 11: Bisection Method
• Lecture 12 Newton-Raphson Method
• Lecture 13: Secant Method
• Lecture 14: False Position Method
• Lecture 15 Gaussian Elimination
• Lecture 16: Gauss-Seidel Method
• Lecture 17 Polynomial Interpolation or Direct Method of Interpolation
• Lecture 18 Lagrange Method for Interpolation
• Lecture 19 Spline Interpolation Method
• Lecture 20 Trapezoidal Rule of Integration
• Lecture 21 simpson One Third
• Lecture 22: simpson3 by 8 Rule
• Lecture 23: Euler Method
• Lecture 24 Runge-Kutta 2nd Order Method
• Lecture 25 Runge-Kutta 4th Order Method
• Lecture 26: Matlab Simulations
• Lecture 26-32 Hands on Practice\ MATLAB - Implementation Guide