Applied Mathematics for Electrical Engineering – Comprehensive Syllabus & Guide

Syllabus Content

1. Numerical Solutions (6 Hours | 14%)

• Root-finding techniques:
  • Bisection, False Position, Secant, and Newton-Raphson methods
• Fixed Point Iteration and convergence analysis
• Applications in electrical engineering

2. Interpolation (6 Hours | 14%)

• Finite differences (Forward, Backward, and Central)
• Interpolation techniques:
  • Newton’s Forward and Backward formula
  • Lagrange’s formula for unequal intervals
• Practical use cases in engineering

3. Numerical Integration (4 Hours | 10%)

• Newton-Cotes formulas, Trapezoidal and Simpson’s rules
• Gaussian quadrature methods
• Error analysis

4. Numerical Solutions of ODEs (4 Hours | 10%)

• Techniques:
  • Picard, Taylor, Euler, and Runge-Kutta methods
• Applications in solving electrical circuit dynamics

5. Curve Fitting (4 Hours | 10%)

• Least-squares method:
  • Straight lines, parabolas, and general curves

6. Basic Probability (10 Hours | 22%)

• Probability concepts:
  • Conditional probability, Bayes’ theorem, and Bernoulli trials
• Random variables (discrete and continuous)
• Applications in uncertainty modeling in electrical systems

7. Basic Statistics (8 Hours | 20%)

• Measures of central tendency:
  • Moments, expectation, dispersion
• Skewness and kurtosis analysis
• Applications in engineering problem analysis