What You'll Learn
Difference Operators
Master the fundamental properties and interrelations of shift, forward, backward, and central difference operators.
Factorial Polynomials
Understand how to express polynomials in factorial notation and rapidly evaluate their differences.
Difference Equations
Learn shortcut techniques to solve complex linear difference equations by analyzing multiple-choice options.
Interpolation Techniques
Apply Newton-Gregory (forward and backward) and Lagrange interpolation formulas for equal and unequal intervals.
Divided Differences
Master Newton's divided difference formula and understand its symmetric properties and determinant representations.
Numerical Integration
Discover the general quadrature formula and how to derive the Trapezoidal, Simpson's 1/3, Simpson's 3/8, and Weddle's rules.
Advanced Quadrature Forms
Evaluate integrals using the Gauss Quadrature formula and understand the nodes, weights, and degrees of precision for Cotes methods.
Meet Your Instructor
Mr Narayan
15+ Years teaching Mathematics