Mathcad Examples & Worksheets

 

Background: Complex Numbers

Example B.1 (p.9, Lathi) screen shot    program  (Complex numbers)

Example B.3 & B4 (p.12, Lathi) screen shot    program  (Complex Numbers)

Example B.5 (p.14, Lathi) screen shot    program  (Complex function)

Example B.6b (p.17, Lathi) screen shot a  screen shot b  screen_shot_c  program  (Sum of sinusoids)

Example B.8-11 (pp. 24-33, Lathi) screen shot    program  (Partial Fraction Expansion)

 

More Math Background: Roots, Calculus and Differential Equations

Example: Solving equations, differentiation, integration: screen shot    program 

Example: Limits and infinite sums: screen shot    program 

Example: Taylor Series Expansion: screen shot    program  Animation1  Animation2

Example: Solution of linear ordinary differential equations: screen shot    program

 

Chapter 1: Signals & Systems Background

Example1.2 (p.55, Lathi): Signal Power: screen shot    program 

Power of the sum of two sinusoids of equal frequencies: Animation

Power of the sum of two sinusoids of different frequencies: Animation

Representation of piecewise signals:  screen shot    program

Signal representation and transformations: screen shot a    screen shot b  program

 

Chapter 2: Time-Domain Analysis: Convolution, Differential Equations

Continuous-time Convolution: screen shot    program

 

Chapter 3: Fourier Series: Signal Representation

Fourier Series Animation:   Animation1  Animation2

Exponential, Compact and Trigonometric Fourier Series Expansion Program:  program

Trigonometric (Basic) Fourier Series Expansion Program: program 

Example 3.3 (p.191, Lathi) screen shot a  screen shot b   program  (Trig. FS)

Example 3.4 (p.195, Lathi) screen shot a  screen shot b   program  (Trig. FS)

Example 3.5 (p.197, Lathi) screen shot a  screen shot b   program  (Trig. FS)

Exercise 3.6a (p.200, Lathi) screen shot a  screen shot b  program  (Trig. FS)

Example 3.6 (p.208, Lathi) screen shot a  screen shot b   program  (Exp. FS)

Exercise 3.10a (p.213, Lathi) screen shot a  screen shot b   program  (Exp. FS)

 

Chapter 4: Fourier Transform: Continuous-Time Signal Analysis

Fourier transform pairs:  screen shot

Amplitude modulation example:  screen shot a  screen shot b screen shot c, program

Butterworth low-pass filter design: screen shot a  screen shot b  program

 

 

Chapter 6: Laplace Transform: Continuous –Time System Analysis

RC filter response to a pulse input (computing h(t)):  screen shot    program

RC filter response to a full-wave rectified sinusoid input:  screen shot    program

Circuit analysis example1:  screen shot    program

Circuit analysis example2:  screen shot    program

Circuit analysis example3:  screen shot    program

Feedback Control Example (p. 430, Lathi):  screen shot Circuit_Simulation  animation  program