Associate Maths Professor Interview Questions and Answers

Integration is the process of finding the antiderivative of a function, while differentiation is the process of finding the derivative of a function.

• Integration involves finding the area under a curve, while differentiation involves finding the slope of a curve.

• Integration is denoted by the symbol ∫, while differentiation is denoted by d/dx.

• Examples of integration include finding the area under a curve using definite integrals, while examples of differentiation include findin...read more

Fourier Series have applications in signal processing, image analysis, data compression, and solving differential equations.

• Signal processing: Used to analyze and manipulate signals in communication systems.

• Image analysis: Helps in image compression, enhancement, and pattern recognition.

• Data compression: Used in audio, video, and image compression techniques.

• Solving differential equations: Helps in solving partial differential equations in physics and engineering.

• Example: Fou...read more

ODE stands for Ordinary Differential Equation while PDE stands for Partial Differential Equation.

• ODE involves a single independent variable, while PDE involves multiple independent variables.

• ODE solutions are functions of a single variable, while PDE solutions are functions of multiple variables.

• Examples of ODE include Newton's law of cooling, while examples of PDE include heat equation and wave equation.

Sine and cosine are trigonometric functions that repeat their values in a regular pattern over a specified interval.

• Sine and cosine functions have a period of 2π, meaning they repeat their values every 2π units along the x-axis.

• The sine function oscillates between -1 and 1, reaching its maximum and minimum values at regular intervals.

• The cosine function also oscillates between -1 and 1, but it is shifted by π/2 radians compared to the sine function.

• Both sine and cosine functi...read more