This comprehensive course is designed to help students, engineers, and professionals master Numerical Methods through an engaging, quiz-based learning approach. With 145+ carefully crafted multiple-choice questions (MCQs), this course provides a deep dive into key numerical techniques, ensuring learners gain practical problem-solving skills for real-world applications.

Key Learning Objectives:

• Root-Finding Methods: Understand and apply the Bisection Method, Newton-Raphson, Secant Method, and Fixed-Point Iteration

• Interpolation and Curve Fitting: Master Lagrange Interpolation, Newton's Divided Differences, and Least Squares Regression

• Numerical Integration and Differentiation: Solve problems using Trapezoidal Rule, Simpson's Rule, and Finite Difference Approximations

• Linear and Nonlinear Systems: Apply Gaussian Elimination, LU Decomposition, and Iterative Methods (Jacobi, Gauss-Seidel)

• Ordinary Differential Equations (ODEs): Explore Euler's Method, Runge-Kutta Methods, and Boundary Value Problems

• Error Analysis and Stability: Learn to quantify truncation and round-off errors and assess algorithm stability

Course Features:

• 145+ MCQs covering fundamental and advanced numerical methods

• Detailed explanations with step-by-step solutions for each question

• Practical problems reflecting real-world engineering and scientific applications

• Self-paced learning format to accommodate different study schedules

Target Audience:

• Engineering and science students preparing for exams

• Researchers and professionals using numerical techniques in simulations and modeling

• Individuals preparing for competitive exams (GATE, GRE, FE) that include numerical methods

By completing this course, you will develop a strong command of numerical techniques and the confidence to apply them in academic and professional contexts.