Math 285
Homework # 1
Due Sep. 7
Texas A & M University
Fall 2011
Note: All gures must have titles and labels; line width must be 2.
1. Let a = 20, b = 85 and c = 12. Compute the following two expressions
using Matlab.
a ) [3 points] (ab 3c)/(b a)
b ) [2
Math 285
Lab 11 - Worksheet
Texas A & M University
Fall 2011
Learning Objectives:
1. Markov Chains
2. Probability Distributions
4. Variance and Standard Deviation
1. Figure 1 represents a Markov process of daily transitions states of weather
conditions (i
Math 285
Lab 10 - Worksheet
Texas A & M University
Fall 2011
Learning Objectives:
1. Markov Chains
2. Steady State Matrices
3. Steady State Distribution Vector
1. A Markov chain is a mathematical system that changes from one state
to another over time. Ex
Math 285
Lab 9 - Worksheet
Texas A & M University
Fall 2011
Learning Objectives:
1. Monte Carlo Simulation
2. Histogram Representations
3. Central Limit Theorem
1. Monte Carlo simulation is a method in which random numbers are used
to predict the long-ter
Math 285
Lab 8 - Worksheet
Texas A & M University
Fall 2011
Learning Objectives:
1. Set Operations
2. Permutations and Combinations
1. In Matlab, sets are given as vectors. To nd the union and intersection of
two sets A and B we may enter union(A,B) and i
Math 285
Lab 7 - Worksheet
Texas A & M University
Fall 2011
Learning Objectives:
1. Matlab m les
2. Building a solver
3. Solve nonlinear programming problems
1. Find minimum of function f (x1 , x2 , x3 ) = x2 + x2 /(1 + x2 ) subject to
1
3
constraints x1
Math 285
Lab 6 - Worksheet
Texas A & M University
Fall 2011
Learning Objectives:
1. Solve linear systems of equations with unknown coecients;
2. Generate area graphs;
3. Solve linear programming problems;
1. Using Matlab, it is possible to solve linear sy
Math 285
Lab 5 - Worksheet
Texas A & M University
Fall 2011
Learning Objectives:
1. Matrix and Vector arithmetics; 2. Review of methods for solving linear
systems; 3. How to plot 3-dimensional graphs.
1. Vectors: elements of row vectors are separated by s
Math 285
Lab 4 - Worksheet
Texas A & M University
Fall 2011
Learning Objectives:
1. Row operations on matrices
2. MATLAB rref command
3. Solving linear systems with Matlab
1. We want to solve the following linear system using row operations.
x + 4y + 3z
Math 285
Lab 3 - Worksheet
Texas A & M University
Fall 2011
Learning Objectives:
1. Data interpolation and splines with Matlab
2. Least Squares curve tting (Regression analysis)
3. Data transformation before curve tting
1. We begin with an example of spli
Math 285
Lab 2 - Worksheet
Texas A & M University
Fall 2011
Learning Objectives:
1. Use Matlab to do data export, import, and stats; 2. How to sort data
using Matlab; 3. How to obtain a statistical visualization of data.
1. Data Import, Export and Stats
Math 285
Lab 1 - Worksheet
Texas A & M University
Fall 2011
Learning Objectives:
1. How to use Matlab as a calculator; 2. Learn about variables and logic; 3.
Learn about Matlab built in functions; 4. How to plot 2-dimensional graphs.
To begin we must star
Math 285
Homework # 8
Due Nov. 17
Texas A & M University
Fall 2011
1. (25 points) Write a short essay (< 300 words) about real-world applications of Markov Chains. Include a few specic examples.
2. (20 points) What are absorbing Markov chains. Describe th
Math 285
Homework # 6
Due Nov. 2
Texas A & M University
Fall 2011
1. [50 points] Use Matlab to solve the following nonlinear problem. Include
a graph of the feasible region and the contours of the nonlinear objective
function.Perth Mining Company operates
Math 285
Homework # 5
Due Oct. 19
Texas A & M University
Fall 2011
1. Consider the following system of linear equations.
5x + ay + 3z + 3u = 11
2y + z u 4w = 1
3x z bw = 10
4x + 5y 4w = 3
4x + cy 4u 4w = 0
a ) [15 points] Using Matlab symbolic solver nd
Math 285
Homework # 4
Due Oct. 5
Texas A & M University
Fall 2011
1. Consider the following system of linear equations.
5x + 4y + 3z + 3u = 11
2y + z u 4w = 1
3x z 4w = 10
4x + 5y 4w = 3
4x + 12y 4u 4w = 0
a ) [5 points] Form the augmented matrix M
b ) [1
Math 285
Homework # 3
Due Sep. 28
Texas A & M University
Fall 2011
Note: All gures must have titles and labels.
1. [5 points] Fit a polynomial of degree 12 to the data LAB3data.txt from
the lab webpage. You may use the commands p = polyt(x,y,12); f = poly
Math 285
Homework # 2
Due Sep. 14
Texas A & M University
Fall 2011
Note: All gures must have titles and labels.
1. Download the le CarData2.xls from the lab webpage and import the
data to Matlab. The data is related to characteristics of various cars. In
Ben Calkins
SPCH 1315 - N11
Elizabeth Stoltz
25 July 2016
https:/youtu.be/gwKBORB_ecI
Wounded Warriors Project
Introduction
I. With an advancement in medicine and battlefield technology, the number of casualties has decreased,
but wounded in battle has in