Elementary Physics – Page 13 – Numerical Explorations

Exercises for the Feynman Lectures on Physics by Richard Feynman, Et Al. Chapter 18 Algebra – Detailed Work by James Pate Williams, Jr. BA, BS, MSwE, PhD

Feynman Exercises Chapter 18

Exercises for the Feynman Lectures on Physics by Richard Feynman, Et Al. Chapter 38 Differential Calculus of Vector Fields – Detailed Work by James Pate Williams, Jr. BA, BS, MSwE, PhD

Feynman Exercises Chapter 38

Exercises for the Feynman Lectures on Physics by Richard Feynman, Et Al. Chapter 36 Fourier Analysis of Waves– Detailed Work by James Pate Williams, Jr. BA, BS, MSwE, PhD

Feynman Exercises Chapter 36

Exercises for the Feynman Lectures on Physics by Richard Feynman, Et Al. Chapter 36 Fourier Analysis of Waves– Detailed Computer Work by James Pate Williams, Jr. BA, BS, MSwE, PhD

Exercise 36.1 (a) Graph — f(x) = 1 for all x contained in the interval [0, 6.28]

Exercise 36.1 (a) Coefficients — Fourier coefficients for a constant function f(x) = 1

Exercise 36.1 (b) Graph — f(x) = sin x for all x in the interval [0, 6.28]

Exercise 36.1 (b) Coefficients — Fourier coefficients for f(x) = sin x for all x in [0, 6.28]

Exercise 36.2 Graph — Graph of the Fourier Series Approximation to the Square Wave with the Gibb’s Overshoot Phenomena Clearly Present

Exercise 36.2 Coefficients — Fourier Series Coefficients for the Square Wave

Exercise 36.2 (a)

Exercise 36.2 (b)

Exercise 36.2 (c)

Exercise 36.3 Graph — Graph of the Fourier Series Approximation to the Triangle Wave

Exercise 36.3 Coefficients — Fourier Coefficients for the Triangle Wave

Exercise 36.3 (b) (1)

Exercise 36.3 (b) (2)

Exercise 36.4

Exercise 36.6 Graph — Graph of the Fourier Series Approximation to a Saw-Tooth Wave

Exercise 36.6 Coefficients — Fourier Coefficients for the Saw-Tooth Wave

Exercise 36.8 Graph — Graph of the Fourier Approximation to the Rectified Sine Wave

Exercise 36.8 Coefficients — Fourier Series Coefficients for the Rectified Sine Wave