Applied Mathematics for Electrical Engineering
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Applied Mathematics for Electrical Engineering Syllabus — Unit-wise Content
The official GTU curriculum for Applied Mathematics for Electrical Engineering (subject code 3130908) as prescribed for PE · Semester 3 divides the course into 7 units, covering 40 listed topics. The unit-wise breakdown below is read from the GTU syllabus document for this subject code, so you can check what the course actually covers before deciding which papers to attempt.
Download the official syllabus PDF (3130908)Unit 1 Numerical Solutions
- Roots of Algebraic and Transcendental Equations : Bisection
- false position
- Secant and Newton-Raphson methods
- Fixed Point Iteration
- Rate of convergence
- Applications to electrical engineering problems
Unit 2 Interpolation
- Finite Differences
- Backward and Central operators
- Interpolation by polynomials: Newton’s forward
- Backward interpolation formulae
- Newton’s divided formulae and Lagrange’s interpolation formulae for unequal intervals
- Applications to electrical engineering problems
Unit 3 Numerical Integration
- Newton-Cotes formula
- Trapezoidal and Simpson’s formulae
- error formulae
- Gaussian quadrature formulae
- Applications to electrical engineering problems
Unit 4 Numerical solution of Ordinary Differential Equations
- Euler methods and Runge-Kutta methods
- Applications to electrical engineering problems
Unit 5 Curve fitting by the numerical method
- Curve fitting by of method of least squares
- fitting of straight lines
- second degree parabola and more general curves
Unit 6 Basic Probability
- definition of probability
- conditional probability
- independent events
- Bayes' rule
- Bernoulli trials
- Random variables
- discrete random variable
- probability mass function
- continuous random variable
- probability density function
- cumulative distribution function
- properties of cumulative distribution function
- Applications to electrical engineering problems
- Subject Code: 3130908 w.e.f
Unit 7 Basic Statistics
- Measure of central tendency: Moments
- Bounds on probability
- Chebyshev‘s Inequality
- Applications to electrical engineering problems
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