Lab 9 Solving Equations Assignment
Instructions
Welcome to the assignment for Lab 9. The purpose of this assignment is to assess your ability to use the
functions FindRoot and Solve. Some things to remember as you complete this assignment:
1. Save the no
Lab 8 Assignment
Instructions
Welcome to the assignment for Lab 8. The purpose of this assignment is to assess your ability to perform
implicit differentiation in Mathematica. Some things to remember as you complete this assignment:
1. Save the notebook
Lab 3: Functions assignment
Instructions
Welcome to the assignment for Lab 3. The purpose of this assignment is to assess your ability to use
functions in Mathematica. Some things to remember as you complete this assignment:
1. Save the notebook to your
Lab 1 Assignment
Instructions
Welcome to your first Lab Assignment. The purpose of this assignment is to assess your knowledge of the
basics of Mathematica. Please refer to Lab 1 Introduction if you have problems with any of the questions.
Here are some
Lab 2: Defining functions assignment
Instructions
Welcome to the assignment for Lab 2. The purpose of this assignment is to assess your ability to define and
use functions in Mathematica. Some things to remember as you complete this assignment:
1. Save t
Lab 6 Calculating Derivatives Assignment
Instructions
Welcome to the assignment for Lab 6. The purpose of this assignment is to assess your ability to use the
derivative functions in Mathematica. Some things to remember as you complete this assignment:
1
Lab 9 Solving Equations Assignment
Instructions
Welcome to the assignment for Lab 9. The purpose of this assignment is to assess your ability to use the
functions FindRoot and Solve. Some things to remember as you complete this assignment:
1. Save the no
Lab 3: Functions assignment
Instructions
Welcome to the assignment for Lab 3. The purpose of this assignment is to assess your ability to use
functions in Mathematica. Some things to remember as you complete this assignment:
1. Save the notebook to your
Lab 6 Calculating Derivatives Assignment
Instructions
Welcome to the assignment for Lab 6. The purpose of this assignment is to assess your ability to use the
derivative functions in Mathematica. Some things to remember as you complete this assignment:
1
Lab 9 Solving Equations Assignment
Instructions
Welcome to the assignment for Lab 9. The purpose of this assignment is to assess your ability to use the
functions FindRoot and Solve. Some things to remember as you complete this assignment:
1. Save the no
Lab 2: Defining functions assignment
Instructions
Welcome to the assignment for Lab 2. The purpose of this assignment is to assess your ability to define and
use functions in Mathematica. Some things to remember as you complete this assignment:
1. Save t
Lab 8 Assignment
Instructions
Welcome to the assignment for Lab 8. The purpose of this assignment is to assess your ability to perform
implicit differentiation in Mathematica. Some things to remember as you complete this assignment:
1. Save the notebook
Lab 1 Assignment
Instructions
Welcome to your first Lab Assignment. The purpose of this assignment is to assess your knowledge of the
basics of Mathematica. Please refer to Lab 1 Introduction if you have problems with any of the questions.
Here are some
MA4610: Numerical Linear Algebra MIDTERM EXAM
Sojqfl'orhs
NAME: 15. March 2017
INSTRUCTIONS:
o Do all 6 problems.
In No electronic devices (e.g., calculators, phones).
o No notes or texts.
0 Show all work. -1 3 -1
1. (15 pts) Given A = 2 -1 0 .
4 4 1
MA4610-R01: Numerical Linear Algebra
Spring 2017
An Imperfect Course Summary
General Concepts of Scientific Computing
Types of error
Absolute, relative
Data, computational, truncation, rounding
Forward, backward
Backward error analysis
Sensitivity a
MA4410 Midterm 2 (Feb 17) Solutions
Spring 2017 - Piret
1. (10) Work out, in the form a+bi , the following expressions (if multivalued, give all (and only) the different
possibilities) :
i
(a) z1 = | cos(2i)| = | cosh(2)| = cosh(2)
(b) z2 = ii = ei 2 +i2k
MA4410 Midterm 3 (April 15)
Spring 2016 - Piret
1. (40) Compute the following integrals using residue calculus. For each of these integrals, choose a contour,
draw it and explain your choice. Give a thorough reasoning for every step.
R d
(a) 0 2cos()
(b)
MA4410 Midterm 3 (April 15) - Take Home
Spring 2016 - Piret
1. (40) Compute the following integrals using residue calculus. For each of these integrals, choose a contour,
draw it and explain your choice. Give a thorough reasoning for every step.
R
R d
d
.
MA4410 Midterm 2 (March 16)
Spring 2015 - Piret
1. Work out, in the form a + bi , the following expressions (if multivalued, give all possibilities):
(a) ii/2
(b) (i)1/4
2. Consider the function f (z) =
cos(z)
sin(z 2 )
+
(c) log(3i)
1
z
(a) Tell where th
MA4610: Numerical Linear Algebra
Spring 2017
Solutions to Assignment 4
1. Let the n n complex Hermitian matrix C be written as C = A + iB (i.e., the matrices A
by
and B are its real and imaginary parts, respectively). Define the 2n 2n real matrix C
"
=
C
MA4610: Numerical Linear Algebra
Spring 2017
Solutions to Assignment 2
1. By hand, perform Gaussian elimination with partial pivoting to find the LU factorization of
P A, where P is the appropriate permutation matrix and
1 2 2
A=
4 4 2
4 6 4
Specify P ,
MA4610: Numerical Linear Algebra
Spring 2017
Solutions to Assignment 1
1. The solutions, x = x1 and x = x2 , to the quadratic equation ax2 + bx + c = 0, where a 6= 0, are
given by the quadratic formulae:
b + b2 4ac
b b2 4ac
x1 =
and
x2 =
2a
2a
(a) Cancell
MA4610: Numerical Linear Algebra
Spring 2017
Assignment 4
Due Date: Wednesday, 19. April 2017
1. Let the n n complex Hermitian matrix C be written as C = A + iB (i.e., the matrices A and B are its
by
real and imaginary parts, respectively). Define the 2n
MA4610: Numerical Linear Algebra
Spring 2017
Solutions to Assignment 3
1. Suppose you are fitting a straight line to the three data points (0, 1), (1, 2), (3, 3).
(a) Set up the overdetermined linear system defining the least squares problem Ax
= b.
(b)
Last Name_First Name_
/50
MY2100 Exam 1, Spring 2015. February 11, 2015
50 points total
%
Periodic Table, constants and equation sheet included at the end.
1. Discuss and draw the molecular structure of a linear polymer, including the basic building block
Last Name_KEY_First Name_
MY2100 Exam 1, Fall 2016. September 23, 2016
60 points total. Equations, values of physical constants, and periodic table are attached.
Coverage: Chapters 1-5
1. Draw a picture of a body centered cubic (BCC) crystal structure uni
Last Name_KEY_First Name_
MY2100 Exam 1, Spring 2017. February 2, 2017
55 points total. Equations, values of physical constants, and periodic table are attached.
Coverage: Chapters 1-5
1. A jet engine compressor blade made out of titanium (Ti) weighs 150
Last Name_KEY_First Name_
MY2100 Exam 1, Spring 2016. February 10, 2016
/50
50 points total. Equations, values of physical constants, and periodic table are attached.
1. A jeweler melts an alloy for a custom rose gold ring. She mixes 50 g gold (Au), 15 g
Integration Applications Assignment
Instructions
The purpose of this assignment is to assess your ability to use the Integrate command to solve some
applied problems. Some things to remember as you complete this assignment:
1. Save the notebook to your c
Last Name_KEY_First Name_
/40
MY2100 Exam 1, Fall 2015. September 23, 2015
40 points total
%
23
Periodic Table included at the end. Avagadros Number = 6.02 x10 atoms/mol
1. Ethylene, C2H4, is polymerized to form polyethylene with a molecular weight of 10