This is the last class we have together.
Upcoming important dates/times/notes:
1.
·
·
Final Exam
Monday, December 9
1 - 3 PM
I will not be here, but everything else will be the same.
2.
Office Hours this week
Tuesday, 10 AM - 2 PM
Wednesday, noon - 4 PM (I had to cut off an hour)
Thursday, 8 AM - 1 PM
3.
Week In Review
December 10, 2 - 4 PM
http://www.math.tamu.edu/~epstein/MATH141WIR/
Title : Dec 8-10:38 PM (Page 1 of 16)
Format of Final Exam
10 True/False questions
25 Multiple choice questions
3 points each (max score = 105 points)
Important: you need an 882-E
scantron on Exam day.
Title : Dec 8-10:51 PM (Page 2 of 16)
Important: you need an 882-E
scantron on Exam day.
http://ecx.imagesamazon.com/images/I/81faTg9DXAL._SL1500_.jpg
Available at the TAMU bookstore.
Title : Dec 8-10:57 PM (Page 3 of 16)
When will I know my grade?
Probably not until close to the
"official deadline". (Do not worry I know the official degree
candidates, and your final grades
will be updated in time.)
Title : Dec 8-10:58 PM (Page 4 of 16)
How should I prepare for the final?
The final is designed to assess mastery of the material
covered.
25% new material
25% Exam 3
25% Exam 2
25% Exam 1
It may sound like a cop-out, but "there is no royal road
to mathematics". The best way to obtain mastery is still
to make sure you understand the basic definitions and
examples, then do problems that require you to stretch
your knowledge.
Title : Dec 8-11:03 PM (Page 5 of 16)
I will be glad to help you review during Office Hours the next three
days, but my availability post-Thursday will be limited.
Let me recommend the following resources:
old exam problems.
old WebAssign problems.
"make your own exam" problems.
talk to people. do not be afraid to argue.
Title : Dec 8-11:05 PM (Page 6 of 16)
How many problems should I do?
-That varies from person to person. For a big exam, I personally
usually try to do at least 1000.
Title : Dec 8-11:08 PM (Page 7 of 16)
This may sound like way too many, but this includes lots of
routine "plug in" and "True/False" problems which take less than
a minute. All told, doing 1000 problems from the book will take
most people between 10 and 15 hours.
Of course, each person is different. All I can tell you is what I
would do in your shoes.
Title : Dec 8-11:14 PM (Page 8 of 16)
Chapter 1 -- Straight Lines, Mathematical Models, and Parabolas
slope
break even: setting cost = revenue
market equilibrium: supply = demand
quadratic functions
max and min values of quadratic functions - finding the vertex
revenue
quadratic formula
vertex form (x-h)^2 + k
x coordinate of vertex -b/(2a)
R(x)= x*p(x) (revenue can sometimes be nonlinear)
if p(x) = mx + b, then revenue is R(x) = mx^2 + bx
Title : Dec 8-11:11 PM (Page 9 of 16)
Title : Dec 9-8:50 AM (Page 10 of 16)
Chapter 2 -- Linear Systems of Equations and Matrices
rules for matrices
how to read matrices
matrix multiplication
matrix operations
linear systems of equations
augmented matrices
rref rules
Title : Dec 8-11:15 PM (Page 11 of 16)
Chapter 3 - Linear Programming
finding corner points in inequalities
bounded/unbounded
solving systems of inequalities (finding feasible sets)
revenue functions
minimizing and maximizing objective functions
Title : Dec 8-11:16 PM (Page 12 of 16)
Chapter 6 - Set Theory
set theory
subsets, empty set, universal se
intersection, union, complement
Venn diagram
counting
addition rule for sets
multiplication principle
permutations
combination
Title : Dec 8-11:16 PM (Page 13 of 16)
Chapter 7 - Probability
calculating probability in sample spaces
theoretical probability vs. experimental
probability
addition rule to find probabilities of events
multiplication principle
The Birthday problem
mutually exclusive vs. independent events
Bayes' Theorem
Tree Diagrams
Complement probabilities and Venn diagram
conditional probability
Title : Dec 8-11:17 PM (Page 14 of 16)
Chapter 8 - Statistics
types of random variables (finite discrete, infinite discrete, infinite continuous)
mean/median/mode
binomial experiments
odds
expected value
standard deviation
variance
probability distributions
standard normal distribution
Title : Dec 8-11:17 PM (Page 15 of 16)
Title : Dec 9-9:43 AM (Page 16 of 16)