Quadratic Forms Tests
In optimization problems it is necessary to test the Hessian matrix, H, for positivedefiniteness, negative-definiteness, or indefinite form. What we are interested in is the
following condition (positive-definiteness):
y T H y > 0, f

ISEN 302 Chapter 5
5.1~5.4
Mar. 8th, 2010
HYUNSOO LEE
Texas A&M University
Review of Chapter 4 (1)
Interest Rate :
2 types of problem
1)
2)
Present worth analysis with equal-life
Present worth analysis with different-life
1)
2)
Review of Chapter 4 (2)
Rev

ISEN 302 Chapter 4
4.3~4.6
Mar. 3rd , 2010
HYUNSOO LEE
Texas A&M University
Announcement
Midterm I results
Homework #5 is posted
Average : 84
Max : 100 / Min 63
Due date is next Wednesday (March 10th)
Quiz #4 Chapter 4 (next Monday)
Modify : HW #5.5 & HW

ISEN 302 Chapter 3
3.3~3.5
Feb. 15th , 2010
HYUNSOO LEE
Texas A&M University
Announcements
Midterm ( Feb 24th Next Wednesday- In-class exam)
Closed book / No formula sheet
Coverage : Chapter 1~3
All formulas and table values will be given
Textbook + modif

ISEN 302 Chapter 7
Review for Midterm II, 7.1~7.4
March. 31st , 2010
HYUNSOO LEE
Texas A&M University
Announcement (1)
Turn in Homework #7
Today, the solution will be posted.
Current your score and grade
Homework (1~6;390 pts): 20%
Quiz (1~5; 220pts) : 10

ISEN 302-502
Introduction / Chapter 1
Jan. 20th , 2009
HYUNSOO LEE
Texas A&M University
Introduction (1)
Class information : Http:/ise.tamu.edu/isen302/502
Instructors information : Hyunsoo Lee
We will follow the schedule which is placed on the web.
Ph.d.

ISEN 302-502
Chapter 1 (1.3~1.9)
Jan. 25th , 2010
HYUNSOO LEE
Texas A&M University
Review
Money has time value
Cash flow ~ inflows / outflows
Interest = end amount original amount
Interest rate = Interest accrued per time unit
*100%
original amount
Term
I

ISEN 302 Chapter 2
1.7~ 2.2
Jan. 27th , 2009
HYUNSOO LEE
Texas A&M University
Homework #1.5 (1)
Plan 5 :
-Plan 5 : Equal payments of compound interest and principal made annually
(P= $5000, n = 5 year, i = 8% year C.I.)
End of Year
Interest Owed
for Year

ISEN 302 Chapter 2
2.2 ~ 2.4
Feb. 1st, 2010
HYUNSOO LEE
Texas A&M University
2.1 Single-payment formula (9)
Example 2.2 (p31)
Hewlett-Packard has completed a study indicating that $50,000 in reduced maintenance this
year (i.e., year zero) on one processin

ISEN 302 Chapter 2
2.3 ~ 2.4
Feb. 3rd , 2010
HYUNSOO LEE
Texas A&M University
Review (1)
Chapter 2.1~2.2
Single payment plan
Relationship between P & F
Uniform payment plan
Relationship between A & P
Relationship between A &F
Review (2)
Single payment pla

ISEN 302 Chapter 3
3.1~3.2
Feb. 10th , 2010
HYUNSOO LEE
Texas A&M University
Announcements
Midterm ( Feb 24th Wednesday- In-class exam)
Closed book / No formula sheet
Coverage : Chapter 1~3
All formulas and table values will be given
Textbook + modified q

Approximating Functions of a Single Variable
A continuous function f ( x ) can be approximated by a polynomial to any accuracy
desired (Weierstrass Approximation Theorem) uniformly over any interval a, b . (For
multiple-dimensional continuous functions th

1
Function Approximation Using Taylor's Series
We frequently have need to approximate a function in some region of a given point to
obtain a simplified function. At times we will only know values of the actual function at
a finite number of points, hence,

1
FINDING SOLUTIONS TO SYSTEMS OF NONLINEAR EQUATIONS
Finding a solution to a nonlinear equation such as g( x ) = 0 for x R or to a system of
nonlinear equations such as
g1( x ) = 0,
g2 ( x ) = 0,
M
gn ( x ) = 0,
denoted more succinctly as g( x ) = 0 for