Community Profile

# Roche de Guzman

### Hofstra University

201 total contributions since 2015

Assistant Professor, Biomedical Engineering
Teaching:
ENGG 010 (Computer Programming for Engineers)
ENGG 081 (Introduction to Bioengineering)
ENGG 101 (Numerical Methods)
ENGG 108 (Biomaterials Lab)
ENGG 112 (Engineering Drawing)
ENGG 118 (Fundamentals of Biomaterials)
ENGG 143G (Senior Design)
ENGG 165 (Bioengineering Modeling and Simulation)
ENGG 169 (Fluid Mechanics Lab)
Research:
Biomaterials, Medical Device, Drug Delivery, Mathematical Modeling

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Triangle Numbers
Triangle numbers are the sums of successive integers. So 6 is a triangle number because 6 = 1 + 2 + 3 which can be displa...

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Finite Difference Explicit Method for Fick's 2nd Law
Finite Difference Explicit Method (iteration) to solve for a PDE (Fick's 2nd Law of diffusion)

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Finite Difference Implicit Method for Fick's 2nd Law
PDE solution using the implicit method

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FEM to solve for 2D Laplace's Equation
FEM solution to a steady-state PDE (example: Laplace's) applied to an electric potential

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Vector field rotation using Rotation (Transformation) matrix
Animation to demonstrate the use of the 2D rotation matrix in a vector field

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Truss 3D (Tetrahedral) using FEM (direct stiffness)
Deformation of a tetrahedral truss (4 nodes and 6 elements) with 3 pinned bottom nodes and downward force applied to the top nod...

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Fick's 2nd Law of Diffusion using Method of Lines
PDE solution using Method of Lines

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Fick's 2nd Law of Diffusion using FEM (Direct Stiffness)
Direct stiffness finite element method to solve for c (concentration) at given x (1D space) and t (time) values

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Graph of a 3D vector field and its divergence and curl
Visualize vector field quiver, divergence (slice), and curl (quiver) at given 3D coordinates

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Graph of a 2D vector field equation and its divergence
Visualize vector field using quiver and divergence using filled contour at given 2D coordinates

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Divergence Theorem (Gauss’, Ostrogradsky’s) to Measure Flow
Example showing that the volume integral of the divergence of f = surface integral of the magnitude of f normal to the surface (...

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Summing Digits within Text
Given a string with text and digits, add all the numbers together. Examples: Input str = '4 and 20 blackbirds baked in a...

mer än ett år ago

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Indexed Probability Table
This question was inspired by a Stack Overflow question forwarded to me by Matt Simoneau. Given a vector x, make an indexed pro...

mer än ett år ago

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Solitaire Cipher
Implement the <http://en.wikipedia.org/wiki/Solitaire_(cipher) solitaire cipher>. Since this is from Wikipedia, I am capturin...

mer än ett år ago

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Find the biggest empty box
You are given a matrix that contains only ones and zeros. Think of the ones as columns in an otherwise empty floor plan. You wan...

mer än ett år ago

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Compute a dot product of two vectors x and y
x and y are input vectors, d is a number and contains their dot product

mer än ett år ago

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Back to basics 6 - Column Vector
Covering some basic topics I haven't seen elsewhere on Cody. Given an input vector, output true or false whether it is a colu...

mer än ett år ago

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Make a run-length companion vector
Given a vector x, return a vector r that indicates the run length of any value in x. Each element in r shows how many times the ...

mer än ett år ago

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Find a subset that divides the vector into equal halves
Given a vector x, return the indices to elements that will sum to exactly half of the sum of all elements. Example: Inpu...

mer än ett år ago

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How many trades represent all the profit?
Given a list of results from trades made: [1 3 -4 2 -1 2 3] We can add them up to see this series of trades made a profit ...

mer än ett år ago

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How long is the longest prime diagonal?
Stanislaw Ulam once observed that if the counting numbers are <http://en.wikipedia.org/wiki/Ulam_spiral arranged in a spiral>, t...

mer än ett år ago

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Flag largest magnitude swings as they occur
You have a phenomenon that produces strictly positive or negative results. delta = [1 -3 4 2 -1 6 -2 -7]; Marching thr...

mer än ett år ago

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Given a window, how many subsets of a vector sum positive
Given a vector: [1 0 -1 3 2 -3 1] and a window of 2, A sliding window would find: 1 + 0 = 1 0 - 1 = -1 ...

mer än ett år ago

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Implement simple rotation cypher
If given a letter from the set: [abc...xyz] and a shift, implement a shift cypher. Example: 'abc' with a shi...

mer än ett år ago

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Find the 9's Complement
Find the 9's complement of the given number. An example of how this works is <http://electrical4u.com/9s-complement-and-10s-c...

mer än ett år ago

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Compute Fibonacci Number
Compute the _n_-th Fibonacci Number f(0) = 0, f(1) = 1, f(2) = 1, f(3) = 2, ... f(42) = 267914296

mer än ett år ago

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Project Euler: Problem 10, Sum of Primes
The sum of the primes below 10 is 2 + 3 + 5 + 7 = 17. Find the sum of all the primes below the input, N. Thank you <http:/...

mer än ett år ago

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Project Euler: Problem 9, Pythagorean numbers
A Pythagorean triplet is a set of three natural numbers, a b c, for which, a^2 + b^2 = c^2 For example, 3^2 + 4^2 =...

mer än ett år ago

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Project Euler: Problem 8, Find largest product in a large string of numbers
Find the greatest product of five consecutive digits in an n-digit number. 73167176531330624919225119674426574742355349194934...

mer än ett år ago

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Project Euler: Problem 7, Nth prime
By listing the first six prime numbers: 2, 3, 5, 7, 11, and 13, we can see that the 6th prime is 13. What is the Nth prime nu...

mer än ett år ago