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Taylor Series
You can use a Taylor series to approximate common functions. The Taylor series for sin(x) is Using only the first several te...

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Calculate Angle From Axis
Given coordinates x and y, an axis ("X" or "Y"), and a direction ("cw" or "ccw", meaning clockwise and counterclockwise, respect...

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Jack O'Lantern
If visualized correctly, the data contained in the matrix A will look like a jack-o'-lantern. Create a function that will visu...

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Adding Inset Plots
You can use the axes function to define the position of an empty x/y axis. The position is measured relative the the bottom left...

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3D Plots and Colorbars
Use the matrices X, Y, and Z provided in the function template to create a surface plot. Add a colorbar to the surface plot and ...

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Reproduce this plot!
Write a function that will take a dataset (x,y), a best fit model (model), and the upper and lower prediction bounds (lb,ub) for...

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Plot Line Specifications
Create a line plot for function cos(x) where x is a vector of linearly spaced values going from 0 to input N with an increment o...

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Power Outages Histogram
Create a function that takes power outage data as an input and creates a histogram of the number of outages as a function of Reg...

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Plotting Practice
Plot cos(x) vs x as shown in the figure below. Include the appropriate title, x-label, and y-label. Note, it is case sensitive. ...

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Create an arrow matrix
An arrow matrix is a square matrix that contains ones on the diagonal, the last column, and last row. ...

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Simpson's Paradox - Calculate correlation coefficients for groups of data
Simpson's Paradox is a statistical phenomenon where groups of data can have a characteristic while the whole data set together h...

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Calculating Student Grades
The matrix grades contains raw grades for 7 students who took your course. Each row represents a different student. The first 7 ...

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Determine if x is a combination of m and n
Given positive integers x, m, and n, determine if x can be written as x = am + bn for any (non-negative) integers a and b. Your ...

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Dog Statistics
The vectors ht and wt contains the heights and weights of 20 golden retrievers. In some cases, it was not possible to make both ...

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Find the minimum of the column-maximums of a matrix
Given a matrix A, find the maximum value of each column, then return the smallest of those maximum values (ie return the minimum...

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Calculate the mean of each half of a matrix
Given a matrix with an even number of columns, n, return a 1-by-2 row vector where the first element is the mean of all the elem...

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Find Closest Constant
Given a number x, return the value that is closest to x from this list of constants: 0, 1, , e, , (also known as ). For exampl...

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Matrix Quadrants
Write a function that takes N as the input, and outputs a matrix whose upper-left (NxN) quadrant contains all ones, the lower-ri...

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Return longest string in 1-D array of strings
Find the longest string in an array of strings. Return an empty string if the initial array is empty. If there are multiple stri...

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Find Min and Max Differences in a Vector
Given an array of integers, return the absolute largest and smallest (non zero) difference between any two numbers in the array....

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Find the number of primes leq than input
Given an integer n, determine the number of primes less than or equal to n.

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determine skid distance of car
Determine the distance a car skids to a stop given initial velocity (v) and time (t).

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Create a column vector of n elements between a and b (both included)
Given lower limit a and an upper limit b, create a column vector of n elements inclusive of a and b. For example: a = 1, b = 4,...

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Sum of Arithmetic Progression
Given the starting number, difference and the number of terms - find the sum of the arithmetic progression.

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Draw a X
Given an input , create a square matrix of zeros with an X of ones. Ex. n = 3 drawX(3) [ 1 0 1 0 1 0 1 0 1 ] ...

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Caesar Cipher
Given a input word x and a shift n, encrypt the word with caesar cipher of shift n.

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Find two numbers that add up to the target value
Given a vector A and target n, return the indices of two numbers that add up to n. If there are multiple solutions, return the f...

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Absolute Value of the Product of Complex Numbers
Find the absolute value (modulus) of the product of two complex numbers given by a + bi and c + di.

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Flip the parity of digits in a decimal expansion
The number 349 has the decimal expansion . If we change the even digits from positive to negative, then the number becomes 269 (...

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Count the peaceful queens
In a 5x5 chessboard with a queen of one color (white, say) on the perimeter, one can place 12 black queens on the board such tha...

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