VERSION I
EESIS Midterm Friday March 14, 2014
Time 2 pm-5 pm
Closed books and Notes, One sheet of notes 8 1/2x11 (both sides) are allowed
Last Name (CAPITAL): $5L£ lg! {
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Student ID:
Check one: Remote[ ] Campus[ ]
Signature
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20
EE518
Final
Friday December 12, 2014
Time 2 pm-4 pm
Closed books and Notes, Two sheets of notes 8 1/2x11 (both sides) are allowed
Last Name (CAPITAL): _
First Name: (CAPITAL):_
Student ID:_
Check one: Remote [ ]
Campus [ ]
Signature_
Problem
1
Maximum Poi
EE518 Midterm Wednesday March 11, 2013
Time 12:30pm-1:50 pm
Closed books and Notes, One sheet of notes 8 1/2x11 (both sides) are allowed
Last Name (CAPITAL):
First Name: (CAPITAL): \ 5L; ' ‘ '
Student ID:
Check one: Remote[ ] Campus[ ]
Signature Pr
Introduction to Java
Data Structure and Program
Design
Data Structure
Array, ArrayList
Linked List
Stack
Queue
Priority Queue (Heap)
Linked List
Used for collecting a sequence of objects
Node: Data part & Address part
Allow efficient insertion and remo
EE518 Fall 2014
Homeork 6 Due October 15, 2014
Problem 1
Find the radius of convergence of the series
1
x 4 x8 x12
.
2! 4! 6!
Show that the series in a) is the Taylor series expansion of the function
e x e x
f ( x)
2
2
2
Is the function f ( x) :
(1)
C
EE 518
Homework 3
Due Feb 4, 2015
Problem 1:
Let A, B, C be any sets, prove that
(i)
A B C A B A C
(ii)
A B C A B A C
Problem 2:
Let E be a nonempty subset of an ordered set. Suppose is a lower bound
of E any is an upper bound of E. Prove that .
n
n
i 1
EE 518
Homework 5
Due Feb 18, 2015
Problem 1
Find the areas of the following regions enclosed by given functions.
(i)
f1 ( x) | x |, f 2 ( x) x 2 2
(ii)
f1 ( x) cos x, f 2 ( x) 1 cos x, f3 ( x) 0, for 0 x 2
Problem 2
e
Calculate following integrals
(i)
(i
EE518 Spring 2015
Homeork 7 Due March 4, 2015
Problem 1
Compute an approximate value of
3
1
xe x dx
using the Midpoint rule, the Trapezoidal rule, and Simpsons rule.
Start with n 4 intervals, and double the number of intervals until two consecutive
approx
EE518 Homework 8
Due March 25, 2015
18. A five year bond with 3.5 years duration is worth 102. What is the value of the bond
if the yield decreases by fifty basis points?(One percentage point is equal to 100 basis
points.)
19. Eastablish the following rel
EE518 Homework 11
Due April 15, 2015
Problem 1
Problem 2
Use Bisection Method and Newtons Method to estimate the intersection point of the
functions f ( x) e
x2
and g ( x)
x . The initial guess is x 0 .The tolerance factors are
tol_consec = 10 6 and tol_a
EE518 Homework 13
Due April 29, 2015
Problem 1
Identify the local extrema of f x, y
x2
y2 e y .
Problem 2
Find the maximum and minimum of the function f ( x1, x2 , x3 ) 4 x2 2 x3 subject to the constraints
2 x1
x2
x3
0 and x12
2
x2 13 0 .
Problem 3
Assume
EE 518: Homework #8
Due on Wednesday 03/23/2016
This is an individual homework assignment to be done by each student individually. Students may
study in groups, and may help each other understand the material of the course, but must not copy
each others h
Introduction to Java
Lecture 3
Inheritance
Variable Scope
Static Variables
Access Control
Packages
Input/Output
Recursive
Topics
Inheritance
We have a class called Student
Inheritance
Now we need following classes:
Student
MSStudent
MSFEStudent
MSEE
Introduction to Java
Arrays and Array Lists
Arrays
An array is an indexed list of values
Any type
int, double, String, boolean,
All values in an array must have same
type
10
2
1
3
2
4
5
n-1
6
Arrays
7
1
Example: int []
0
The index starts at zero and
Introduction to Java
EE 518: Mathematics and Tools
for Financial Engineering
Goal
Understand the activity of programming
Design, compile and run Java program
Become familiar with OOP
Software debugging and testing
Topics
Introduction, tool setup
Data ty
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5
Differentiation
A differentiable function is a function that can be approximated locally by a linear function.
Definition 5.1 Let f : (a, b) R where a, b are real with b > a. For any x (a, b) form
the function
f (t) f (x)
, a < t < b, t 6= x
g(t) =
tx
a
EE 518 : Homework #1
Due on Wednesday, January 25, 2017
Problem 1
Given matrices A,B and a vector :
1
A= 2
3
1
2 1
3 1, B= 1
0
5 0
1 1
1
1
1, and = 1
2 1
1
(i) Find the determinant, trace, transpose, reduced Row-Echelon Form and rank of A.
(ii) Solve Bx
EE 518 : Homework #3
Due on Wednesday, February 1, 2017
Problem 1
For any set A, B and C, prove that
1. A (B C) = (A B) (A C)
2. A B if and only if A B =
Problem 2
Prove
B\
n
\
i=1
Ai =
n
[
(B \ Ai )
i=1
with A1 , A2 , . . . , An and B are any sets.
Prob
EE 518 : Homework #2
Due on Wednesday, January 25, 2017
Problem 1
Solve the initial-value problems:
(i)
x
dy
= y + x2 sin x,
dx
y() = 0
(ii)
dy
= 5y 3,
dx
x(2) = 1
Problem 2
Find the general solution for the given Differential Equations:
(i)
dy
y = e2x
d
USC Viterbi
School ofEnginccring
EE 518: Mathematics and Tools for
Financial Engineering
Lecture# 10
Department of Electrical Engineering
University of Southern California
February 17, 2016
USC Viterbi
School of Engineering
BB 518 Lecture#10 February 17