A Reading of the Theory of Life Contingency
Models:
A Preparation for Exam MLC/3L
Marcel B. Finan
Arkansas Tech University
c
All
Rights Reserved
Preliminary Draft
Last Updated
July 14, 2014
2
To Nadia with Love
Contents
Preface
11
Prerequisite Material
13
Tutorial on Excel
Table of Contents
Introduction
Nothing has really changed in Excel since 1997 except for some cosmetic transformations and WEB related functionalities
that are weak at best. What has changed radically is the computer on your desk. Since
Implementing Custom Events
In the early versions of VB, programmers were limited to working with the builtin events. In VB5,
however, three simple keywordsEvent, RaiseEvent, and WithEventswere added to the language to
allow the programmer to define cus
VBA Lesson 21: VBA Code General Tips
 All VBA procedures (macros) start with Sub with a set of parentheses at the end
Sub proTest()
In the parentheses you will submit variables that you carry from one procedure to the other. I always
use the prefix "pro
VBA Lesson 11: The Visual Basic Editor in Excel (VBE)
When you want somebody to do some work for you you open your Email program and you send him a
message in a language that he understands (English, Spanish, French.). When you want Excel to do
some work
Hide All
Worksheet functions listed by category
Database
Microsoft Excel includes worksheet functions that analyze data stored in lists or
databases. Each of these functions, referred to collectively as the Dfunctions, uses three
arguments: database, fiel
VBA Lesson 31: Forms (Userforms) in VBA for Excel
The form or userForm is also known as a GUI (Graphical User Interface). The form is used to require
values, parameters and information from the user to feed the VBA procedure. Different basic controls
can
VBA Lesson 41: Additional References / Addins
Introduction
There may be times, especially when copying a workbook from one machine to another, that the
references for that VBA project are not properly carried through to the new machine. This normally
ha
Help and Tips on Excel Macros

Programming in VBA for Excel
o Vocabulary from the Programmers' Language in Excel
o The Visual Basic Editor in Excel (VBE)
The most user friendly programming environment. You will create your procedures (macros) and
userfor
Vocabulary from the Programmers' Language in Excel
In the universe of VBA for Excel (Macros) there is some vocabulary that you might want to adopt so that others
can understand you and so that you can understand the others.
As a start let's correct a gene
http:/guo.coursehost.com
Deeper Understanding, Faster Calculation
Exam P Insights & Shortcuts
11th Edition
by Yufeng Guo
For SOA Exam P/CAS Exam 1
Fall 2008 Edition
This electronic book is intended for individual buyer use for the sole purpose of prepari
EXCERPTS FROM S. BROVERMAN STUDY GUIDE
FOR SOA EXAM FM/CAS EXAM 2
2009
Table of Contents
Introductory Comments
Section 12  Bond Amortization, Callable Bonds
Section 18  Option Strategies (1)
Problem Set 7  Annuities Whose Payments Follow a Geometric Pr
SOA Course FM / CAS Exam 2
Calculator advice
Course FM / Exam 2
Calculator advice
Introduction
It wasnt very long ago that the square root key was the most advanced function of the
only calculator approved by the SOA/CAS for use during an actuarial exam.
MATHEMATICS OF
INVESTMENT
AND
CREDIT
Fourth Edition
Samuel A. Broverman, ASA, Ph.D.
University of Toronto
ACTEX Publications, Inc.
Winsted, Connecticut
CHAPTER 1
INTEREST RATE MEASUREMENT
1.1
1.2
1.3
1.4
1.5
1.6
1.7
1.8
1.9
1.8
1
Interest Accumulation and
Formula Sheet
R
R
(1) Integration By Parts: u(x)v 0 (x)dx = u(x)v(x) u0 (x)v(x)dx.
(2) Partial Fractions Integral: If c 6= d then
Z
ax + b
1
dx =
(ac + b) ln x c (ad + b) ln x d + K.
(x c)(x d)
cd
(3) For linear homogeneous d.e. with constant coeffici
John Michael G. Porca
201348228
D.
Kas 2
Ma. Luisa De LeonBolinao, Ph.
Sa Water for a City: Francisco Carriedo, the Manila Acapulco Galleon Trade and the
making of Manilas first potable water system, inilatag ni Celestina Boncan, Ph. D. ang mga
detalye
John Michael G. Porca
201348228
Kas 2
Ma. Luisa De LeonBolinao, Ph. D.
Sa Kabundukang Zambales: Isang Kasaysayang Rehiyonal ng Ikalawang Digmaang
Pandaigidig, ipinakita ni Analyn Muoz ang kahalagahan ng Kabundukang Zambales sa
Ikalawang Digmaang Pandaig
MATHEMATICS 53
FIRST LONG EXAM
First Semester AY 20122013
July 5, 2012
This exam is good for 75 minutes. Show all necessary solutions. Box all final answers.
I. Evaluate the following limits. (5 points each)
1.
2.
3.
4.
II. Given: (12 points)
Discuss the
Indeterminate Forms and LHpitals Rule
Mathematics 53
Institute of Mathematics (UP Diliman)
Institute of Mathematics (UP Diliman)
Indeterminate Forms and LHpitals Rule
Mathematics 53
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0
and
0
1
Indeterminate Forms of Type
2
LHpitals Rule
3
Derivatives of and Integrals Yielding Inverse Circular
Functions
Mathematics 53
Institute of Mathematics (UP Diliman)
Institute of Mathematics (UP Diliman)
Derivatives of and Integrals Yielding Inverse Circular Functions
Mathematics 53
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1
Integrals Yielding Logarithmic and Exponential
Functions
Mathematics 53
Institute of Mathematics (UP Diliman)
Institute of Mathematics (UP Diliman)
Integrals Yielding Logarithmic and Exponential Functions
Mathematics 53
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1
and of the other
Derivatives of Logarithmic and Exponential Functions
Mathematics 53
Institute of Mathematics (UP Diliman)
Institute of Mathematics (UP Diliman)
Derivatives of Logarithmic and Exponential Functions
Mathematics 53
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1
Exponential and Logarith
Discussion for 14 June 2013
Mathematics 17
I. Exercise on interval notation: Let the universal set be R, X be the halfopen interval 3 , 5 ,
2
Y = cfw_x  4 x, and Z be the interval (2, +). Find the following sets and express them in
interval notation:
Mathematics 17
Exercises on Sets and the Set of Real Numbers
1. TRUE OR FALSE.
(a) If A B = A, then B = A.
(b) Given 3 nonempty sets A, B , and C , if A = B and B = C , then A = C .
(c) For any two sets X and Y , if x Y and y X , then X and Y are disjoint
Lecture 2: The Real Number System
The real number system is the set of real numbers with two
operations called addition and multiplication. If a, b R, then
the sum of a and b is a + b (where a and b are called addends
or terms ) and the product of a and b
Related Rates, Local Linear Approximation and
Dierentials
Mathematics 53
Institute of Mathematics (UP Diliman)
Institute of Mathematics (UP Diliman) Related Rates, Local Linear Approximation and Dierentials
Mathematics 53
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1
Related Rates
The Chain Rule, Implicit Dierentiation,
Higher Order Derivatives
Mathematics 53
Institute of Mathematics (UP Diliman)
Institute of Mathematics (UP Diliman) Chain Rule, Implicit Di., Higher Order
Mathematics 53
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1
The Chain Rule
2
Implicit