UH Downtown Finite Math with Applications, Math 1305
Fall, 2015 CRN#11454
Class Meeting Time: Monday Wednesday 5:30 6:45 PM in Room B-110
Instructor: Samuel Chen
Office Hours: 6:45-7:45 pm on Mondays
CHENS@UHD.edu (best way to reach me)
Finite Math Exam 2 Review
Graph the feasible region for the system of inequalities.
1) 3x + y -2
x + 2y < -12
2) 2y + x -2
y + 3x 9
3) 2x + 3y 6
4) 2x + 3y 6
Use graphical methods to solve the linear programming problem.
University of Houston Downtown
Department of Mathematics & Statistics
Syllabus for MATH 1305
Instructor Contact Information:
Instructor: Dr. Wael AbuShammala
Office Hours: By Appointment
Course Title: Finite Mathem
Dr. C. Hanchey
Here is a little help on the research I gave you you will definitely want to add to this your
Value Chain Analysis: Achieving Excellence in things that Really M
Sum - Preference
Sum - Preference
You scored 35 out of 40
Your answer is CORRECT.
Determine whether the series n42n+5 converges or diverges.
c) cannot be determined
Your answer is CORRECT.
Determine whether the series
What distinguishes some athletes is not so much their technical skilis as
their intuitive understanding of their sport. In baseball, they are the fielders
who always get a jump on the ball; in basketball, they are the players who
have "court sens
Zermelo-Fraenkel Axioms for Sets
Undened terms: sets, membership (We shall think of the elements of sets
as being sets themselves.)
Axiom 1: (The axiom of extension) Two sets are equal if and only if they
have the same elements.
Axiom 2: (The axiom of the
The following are due at the beginning of class on Wednesday, October 28.
Problem 1: (0.5 points) Let A = cfw_1, 2, 3, 4, 5, B = cfw_2, 3, C = cfw_1, 2, 3,
D = cfw_2, 3, 4, and E = cfw_2. Let the collection A = cfw_A, B, C, D, E be partially
The following problems are due at the beginning of class on Wednesday, Oct. 21.
Problem 1: Consider the following relations on N.
R = cfw_(1, 5), (2, 3), (3, 2), (5, 2)
S = cfw_(2, 4), (3, 4), (3, 1), (5, 5).
(a) (1 point) Compute R S and
The following problems are due at the beginning of class on Wednesday, Oct. 7.
[1/n, n] = (0, ).
Problem 1: (2 points) Prove that
Problem 2: For n N let P (n) denote the proposition n2 + 5n + 1 is even.
(a) (1 point) Prove that if P (n) is
The following problems are due at the beginning of class on Wednesday,
Sept. 9. Please follow all guidelines as described in the Homework section of
the course syllabus. Also remember that homework can and should be worked
on and discussed wi
Proof Assignment 2
The following proof is due at the beginning of class on Wednesday, Oct. 7.
Problem 1: Prove the following. (You should feel free to assume the reader
knows the quadratic formula from high school.)
Let a, b Z with a = 0. If a does not di
Proof Assignment 1
The following proof is due at the beginning of class on Monday, Sept. 21.
Problem 1: Let a, b, c Z. Prove that if a | b and a | c, then for any m, n Z
it is the case that a | mb + nc.
A Note Regarding the Write-Up of Proofs: When writin
M427K Dierential Equations Exam 1 Sept 21,2012
1. Solve the dierential equation
xy + 2y = 4x2
in 3 dierent cases: a)y(0) = 0; b) y(1) = 0; c) y(1) = 2
Make a crude sketch of the graph in each case.
How might you characterize the solutions to this dierenti
Set F = C
Find C if
R by M
M427K Differential Equations Exam 4 Dec 3, 2012
1. Find the first four nonzero terms for one power series solution near a: = 0 for the
differential equation, and determine the recursion formula for the coefcients.
Explain why a: = 0 is a regular
M427K Differential Equations Exam 2 Oct 19,2012
1. Solve the differential equation
y + 4y 2 tet
With y(0) = O, y(0) = 1.
What is the long-term behavior of the solution
eg what is the graph like for large 15?
2. Use the Laplace transform to solve the diffe
Lecture #27, Dec. 3
On page 2 after equation (1), it should read:
cn = 2
= [(1) 1]
so that in page 3 we should have:
u(x, t) =
if n is even
if n is odd
(2m + 1)
e(2m+1) t s
One can find a java applet at http:/math.rice.edu/~dfield/dfpp.html
which will allow you to graphically obtain direction field plots for
first-order differential equations and phase plane plots for second-order
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