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## Fourier Series

Fourier Series Contents Recall Periodic and Orthogonal Functions 1 Recall Fourier Series 2 Describe Dirichlet’s Conditions for existence of Fourier Series 3 Determine Fourier Coefficients using Euler’s Formula 5 Determine the Fourier Series of a Function 7 Determine...

## Partial Differential Equation

Partial Differential Equation Contents Recall Partial Differential Equations 1 Describe the formation of Partial Differential Equations 2 Determine the Solution of Partial Differential Equations by Direct Integration 4 Determine the Solution of Linear Partial...

## Differential Calculus

Differential Calculus Contents Describe Limit of a Function 1 Explain Left Hand and Right Hand Limits 2 Evaluate the Limit of a given Function 3 Explain Indeterminate For 6 Describe L’ Hospital Rule 7 Evaluate the Limit of a given Function using L’Hospital rule...

## Z-Transform and Difference Equation

Z-Transform and Difference Equation Contents Recall Z-Transform 1 Evaluate the Z-Transform of Standard Functions 2 Recall the Properties of Z-Transform: Linear property, Scale change property, and Shifting property 4 State and prove Initial and Final value Theorems 7...

## Algebra

Logarithmic value of a number, Sequences, Series, and Progressions. Arithmetic Progressions, sum of n terms, Harmonic Progression, Arithmetic and Harmonic Mean, Geometric Progression, n-term and infinite term of a G.P., Geometric Mean. Partial Fraction, Partial Fractions of Non-Reducible Quadratic Factors, partial Fractions of Non-Reducible Quadratic Factors and Linear Factors, fundamental principle of Counting, Factorial, Permutations, nPr, Combinations, nCr, Using Permutations and Combinations Principles, Binomial Theorem, Pascal’s Triangle, expansion of (x+a)n