MATH 310 Theory of Interest
Fall 2016
Lecture #4: Discount, relationship between interest and discount, compound discount, nominal rate
of discount
Reading assignment: Broverman Sections 1.5-1.8
1
Discount
Say you borrow $1000 for one year at an annual ef
MATH 310 Theory of Interest
Fall 2016
Lecture #5: Measuring investment performance, cash flows, equations of value, internal rate of return
1
Measuring investment performance
In most investments, cash flows in and out of the investment account
over timede
MATH 310 Theory of Interest
Fall 2015
Lecture #2: APR vs. APY, nominal rates of interest, conversions, continuous compounding and the
force of interest
Reading assignment: Broverman Sections 1.4 and 1.6
1
APR vs. APY
Interest rates on consumer and mortgag
MATH 310 Theory of Interest
Fall 2016
Lecture #6: Internal rate of return, net present value method, dollar weighted rate of return
1
Internal rate of return: definition and theory
The IRR attempts to answer the question, What periodic yield rate am I
ear
MATH 310 Theory of Interest
Fall 2016
Lecture #1: Simple and compound interest, accumulation and amount functions, effective rates of
interest
Reading assignment: Broverman Sections 1.0, 1.1, 1.3, 1.4
1
Basics of Interest
Interest is sometimes called the
MATH 310 Theory of Interest
Fall 2016
Lecture #3: Force of interest
Reading assignment: Broverman Sections 1.4, 1.5, and 1.6
1
Force of interest
In the last lecture we talked about continuous compounding. For an annual
rate of 6% compounded continuously,
1.2 Gauss-Jordan elimination
Definition 1. A matrix is in reduced row-echelon form if it satisfies all of the following conditions:
(1) If a row has nonzero entries, then the first nonzero entry is a 1, called a leading 1, or pivot.
(2) If a column contai
Math 306 Linear Algebra
fall 2016 syllabus
Class Location: Herman 103, MWF 2:002:50 PM
Instructor: T. Alden Gassert
Office: Herman 309B
Email: thomas.gassert@wne.edu
Office Hours: MWF 10:3011:30 AM, MW 3:004:00 PM, and by appointment.
Math Center: M 11:00
1.3 vector equations
We have already seen that a system of linear equations may be solved by solving a matrix equation of the
form Ax = b. But why is that the case?
Theorem 1 (Lay, Ch. 1, Th. 3). If A = [aij ] is an m n matrix with columns a1 , . . . , an
1.7 Linear independence
Definition 1. A set of vectors cfw_a1 , . . . , ak is linearly independent if the vector equation
x1 a1 + + xk ak = 0
(1)
has exactly one solution, the trivial solution, x1 = x2 = = xk = 0.
Definition 2. If there are non-trivial s
1.4 The equation Ax = b
Theorem (Lay, Ch. 1, Th. 4). Let A be an m n matrix. Then the following are equivalent (either all
true or all false)
a. For each b Rm , the equation Ax = b has a solution.
b. Each b Rm is a linear combination of the columns of A.
1.1 Introduction to linear systems
Linear algebra finds its origins in the study of linear systems of equations. Some familiar examples
of linear equations are
ax + by = c
and
ax + by + cz = d.
There is no limit to the number of variables a linear equatio
WESTERN NEW ENGLAND UNIVERSITY
School of Arts and Sciences
COURSE SYLLABUS
Math 235-01
Fall 2016
Email: hoq.enam@gmail.com, qhoq@wne.edu
782-1603
Dr. Enam Hoq
Office: Herman 308B
Phone: (413)
CALCULUS III
Office Hours:
MWF
12:00-1:00 pm
MW
2:00-3:00 pm
or
Gallagher1
Ashley Gallagher
Joanna Palmioli
ENGL 133-14
16 March 2016
Misconceptions
Today crime is all over entertainment forms of media, which makes it easy for society to
be over exposed to ideas about crime. Often times, this makes it difficult
One and two, two,
Two and two, four,
Three and three, are six for me.
Four and four, eight
Five and five, ten,
Little fingers in my hands.
B. Developmental Activities
1. Presentation
a. Play the 'Concentration Game' Group game and contest.
Let the members
FORMAL PROOF OF EQUIVALENCE OF TWO SOLUTIONS
OF THE GENERAL PASCAL RECURRENCE
HEWRY W.GOULD
West Virginia University, H/lorgantowsi, West Virginia 26506
There have been numerous studies of the general Pascal recurrence relation
(1)
f(x + 1,y+1)f(x,y +1)-
MATH3075/3975
Financial Mathematics
School of Mathematics and Statistics
University of Sydney
Semester 2, 2012
Tutorial sheet: Week 3
Exercise 1 What is the price at time 0 of a contingent claim represented
by the payo h(S1 ) = S1 ? Give at least two expl
Example of Taylor series: Polynomial
Consider the function f (x) = x3 and its Taylor series about x0 = 2. We can calculate
the derivatives:
f (x) = x3
f 0 (x) = 3x2
f 00 (x) = 6x
f 000 (x) = 6
f (4) (x) = 0
f (x0 ) = 8
f 0 (x0 ) = 12
f 00 (x0 ) = 12
f 000
2016 MSP Search for the Math Wizard
Quarternal Round
EASY: 2 points, 30 seconds each
1
18
E1 A two-digit number is written at random. What is the probability that the sum of its digits is 5?
E2 Find k if one root of (3k + 1) x 2 2kx 5 = 0 is 1.
[4]
E3 If
A L E T T E R TO THE EDITOR
88
Feb.
3) If one s u m s the coefficients in the table without f i r s t multiplying by
p o w e r s of five one obtains k - t h power r e s i d u e s of two.
Some of this has undoubtedly been o b s e r v e d before and even
pr
MATH3075/3975
Financial Mathematics
School of Mathematical Sciences
University of Sydney
Semester 2, 2012
Tutorial sheet: Week 2
Exercise 1 Assume that joint probability distribution of the two-dimensional
random variable (X, Y ), that is, the set of prob
Ex/CSE/MATH/T/114/19/2013
BACHELOR OF COMPUTER SCIENCE ENGG. EXAMINATION, 2013
(1st Year, 1st Semester)
Mathematics - II D
Time : Three hours.
Full Marks : 100
Answer any five questions.
1. (a) Prove that every convergent sequence is bounded.8
(b) Prove
x
Catariny DePina
Professor Lyons
Stats; Phase 3
April 4,2012
Summary statistics for Calories:
Group by: Company Name
Company Name
Dunkin Donuts
n
Mean
Std. Dev.
308 209.28572 150.82124
Median Range Min Max
195
850
0
850
Q1
Q3
80 330
Panera
32
223.125 200.1
Catariny DePina
Professor Lyons
Stats; Phase 4
April 30, 2012
1. Type of Drink
A success for type of drink will be if more than 50/100 of all drinks are iced drinks.
b. I believe that most people would prefer having an Iced Drink from Dunkin Donuts, Paner