#3 Matlab scientific coding for engineers, students&science

Use MATLAB to build a magic matrix and apply logical indexing to find elements that exceed four, then compute their mean with mean(A(A>4)).

Use MATLAB ismember to test if elements of one matrix appear in another, producing a logical array; then use find to locate the indices of common elements, including row-wise checks.

Discover how MATLAB setdiff compares arrays to show elements in one array not in another, with row options, sorting behavior, non-repeating results, and mention of intersect and ismember.

Explore how MATLAB structures organize data with labeled fields, create multi-field entries, and access information using dot notation and indexing, illustrated by a student records example.

Learn to calculate limits in Matlab with symbolic expressions, defining x and the point of interest, using sin(x)/x as x approaches 0 and exploring infinity and left/right limits.

Explore Matlab loops with for and while exercises that handle alternating signs and exponents, and build a function with two outputs: number of terms and the resulting sum until 10000.

Explore Matlab coding with loops: implement for and while loops to compute sums of odd numbers, powers, and alternating sign sequences, rename variables, and compare results with built-in functions.

Compare using a for loop versus a while loop to calculate Fibonacci numbers in a Matlab script, emphasizing initialization, index handling, and increment rules.

Demonstrates calculating and drawing the Lorenz curve from a sorted income vector in MATLAB, using absolute, cumulative, and relative frequencies to visualize income distribution and inequality.

Introduce Fourier transformation and show how signals become sums of sine and cosine in the frequency domain, with Matlab, then return via the inverse transform.

Apply Newton's method to locate real roots of a function from an initial guess, iterating x_new = x_old - f(x)/f'(x), and implement with MATLAB function handles and symbolic differentiation.

Modify a MATLAB Newton's method to use a user-defined tolerance with a while loop, running until the absolute error falls below the tolerance, and compare iterations.