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Kentucky  MA 162
 Kentucky
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 Automated Reasoning with Analytic Tableaux and Related Methods: International Conference, TABLEAUX'99, Saratoga Springs, NY, U. S. A., June 711, 1999, Proceedings, Inverse Problems in the Mechanics of Materials: An Introduction, Jordan Triple Systems by the Grid Approach, Functional Equations, Inequalities and Applications

Exam3apdf
School: Kentucky
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Quiz1version1solutions
School: Kentucky
MA 162 Finite Mathematics Recitation Quiz 1 Name Date: February 1, 2005 Please answer all questions completely. Be sure to write neatly so that your solution may be read as you intended it to be read. Since each part is only worth 1 point, partial

Quiz1version2solutions
School: Kentucky
MA 162 Finite Mathematics Recitation Quiz 1 Name Date: February 3, 2005 Please answer all questions completely. Be sure to write neatly so that your solution may be read as you intended it to be read. Since each part is only worth 1 point, partial

Quiz2version1solutions
School: Kentucky
MA 162 Finite Mathematics Recitation Quiz 2 Name Date: March 1, 2005 Please answer all questions completely. Be sure to write neatly so that your solution may be read as you intended it to be read. Partial credit will be awarded if work is shown. 1

Quiz2version2solutions
School: Kentucky
MA 162 Finite Mathematics Recitation Quiz 2 Name Date: March 3, 2005 Please answer all questions completely. Be sure to write neatly so that your solution may be read as you intended it to be read. Partial credit will be awarded if work is shown. 1

Quiz3makeupsolutions
School: Kentucky
MA 162 Finite Mathematics Recitation Quiz 3 Name Date: April 6, 2005 Please answer all questions completely. Be sure to write neatly so that your solution may be read as you intended it to be read. Partial credit will be awarded if work is shown. 1

Quiz3version1solutions
School: Kentucky
MA 162 Finite Mathematics Recitation Quiz 3 Name Date: March 29, 2005 Please answer all questions completely. Be sure to write neatly so that your solution may be read as you intended it to be read. Partial credit will be awarded if work is shown.

Quiz3version2solutions
School: Kentucky
MA 162 Finite Mathematics Recitation Quiz 3 Name Date: March 31, 2005 Please answer all questions completely. Be sure to write neatly so that your solution may be read as you intended it to be read. Partial credit will be awarded if work is shown.

Quiz4makeupversionsolutions
School: Kentucky
MA 162 Finite Mathematics Recitation Quiz 4 Name Date: April 21, 2005 Please answer all questions completely. Be sure to write neatly so that your solution may be read as you intended it to be read. Partial credit will be awarded if work is shown.

Quiz4version1solutions
School: Kentucky
MA 162 Finite Mathematics Recitation Quiz 4 Name Date: April 5, 2005 Please answer all questions completely. Be sure to write neatly so that your solution may be read as you intended it to be read. Partial credit will be awarded if work is shown. 1

Quiz4version2solutions
School: Kentucky
MA 162 Finite Mathematics Recitation Quiz 4 Name Date: April 7, 2005 Please answer all questions completely. Be sure to write neatly so that your solution may be read as you intended it to be read. Partial credit will be awarded if work is shown. 1

Quiz5version2solutions
School: Kentucky
MA 162 Finite Mathematics Recitation Quiz 5 Name Date: April 21, 2005 Please answer all questions completely. Be sure to write neatly so that your solution may be read as you intended it to be read. Partial credit will be awarded if work is shown.

Oldfinals_beam_alt
School: Kentucky
Solutions of old final exam problems. Ma 162 Spring 2009 Ma 162 Spring 2009 April 2009 Avinash Sathaye (Ma 162 Spring 2009) Old Finals. April 2009 1 / 29 Introduction. DEPARTMENT OF MATHEMATICS Ma162 Samples from old Final Exams Detailed expla

FinalProb
School: Kentucky
Variables Variable Values Objective Function Constraints r 0 3 s 0 1 t 0 5 Computed Bound 0 =H 4 1 5 2 1 1 7 3 1 0= 0 <= 0 >= 18 30 5

Exam1PDF
School: Kentucky
MA162 Exam 1 Name_ Time and Day of Recitation_ Section Number_ INSTRUCTIONS: You must show all work to receive credit on a problem. Answers without supporting work will receive zero credit. You may not leave your seat or ask a question after you beg

Exam2PDF
School: Kentucky
MA162 Exam 2 Name_ Time and Day of Recitation_ Section Number_ INSTRUCTIONS: You must show all work to receive credit on a problem. Answers without supporting work will receive zero credit. You may not leave your seat or ask a question after you beg

Exam2aPDF
School: Kentucky
MA162 Exam 2 Name_ Time and Day of Recitation_ INSTRUCTIONS: You must show all work to receive credit on a problem. Answers without supporting work will receive zero credit. You may not leave your seat or ask a question after you begin the examinatio

Exam3PDF
School: Kentucky
Math 162 Spring 2002 Exam 3 NAME_ INSTRUCTIONS: You must show all work to receive credit on a problem. Answers without supporting work will receive zero credit. You may not leave your seat or ask a question after you begin the examination. You are

Quiz5Version2
School: Kentucky
MA 162 Finite Mathematics Recitation Quiz 5 Name Date: April 21, 2005 Please answer all questions completely. Be sure to write neatly so that your solution may be read as you intended it to be read. Partial credit will be awarded if work is shown.

Quiz5Version1
School: Kentucky
MA 162 Finite Mathematics Recitation Quiz 5 Name Date: April 19, 2005 Please answer all questions completely. Be sure to write neatly so that your solution may be read as you intended it to be read. Partial credit will be awarded if work is shown.

Exam1apdf
School: Kentucky
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Exam3bpdf
School: Kentucky
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Exam2bpdf
School: Kentucky
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Exam1bpdf
School: Kentucky
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Quiz3Makeup
School: Kentucky
MA 162 Finite Mathematics Recitation Quiz 3 Name Date: April 6, 2005 Please answer all questions completely. Be sure to write neatly so that your solution may be read as you intended it to be read. Partial credit will be awarded if work is shown. 1

Final
School: Kentucky
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Oldfinals_beam
School: Kentucky
Solutions of old final exam problems. Ma 162 Spring 2009 Ma 162 Spring 2009 April 2009 Avinash Sathaye (Ma 162 Spring 2009) Old Finals. April 2009 1 / 29 Introduction. DEPARTMENT OF MATHEMATICS Ma162 Samples from old Final Exams Detailed expla

Unsol_final
School: Kentucky
DEPARTMENT OF MATHEMATICS Ma162 Samples from old Final Exams This is for your practice. 1. Fred Foy has $100, 000 to invest in stocks, bonds and a money market account. The stocks have an expected return rate of 10% per year, the bonds pay 6% per yea

Quiz1Version1
School: Kentucky
MA 162 Finite Mathematics Recitation Quiz 1 Name Date: February 1, 2005 Please answer all questions completely. Be sure to write neatly so that your solution may be read as you intended it to be read. Since each part is only worth 1 point, partial

Quiz1Version2
School: Kentucky
MA 162 Finite Mathematics Recitation Quiz 1 Name Date: February 1, 2005 Please answer all questions completely. Be sure to write neatly so that your solution may be read as you intended it to be read. Since each part is only worth 1 point, partial

Quiz2Version1
School: Kentucky
MA 162 Finite Mathematics Recitation Quiz 2 Name Date: March 1, 2005 Please answer all questions completely. Be sure to write neatly so that your solution may be read as you intended it to be read. Partial credit will be awarded if work is shown. 1

Quiz2Version2
School: Kentucky
MA 162 Finite Mathematics Recitation Quiz 2 Name Date: March 3, 2005 Please answer all questions completely. Be sure to write neatly so that your solution may be read as you intended it to be read. Partial credit will be awarded if work is shown. 1

Quiz3Version1
School: Kentucky
MA 162 Finite Mathematics Recitation Quiz 3 Name Date: March 29, 2005 Please answer all questions completely. Be sure to write neatly so that your solution may be read as you intended it to be read. Partial credit will be awarded if work is shown.

Quiz3Version2
School: Kentucky
MA 162 Finite Mathematics Recitation Quiz 3 Name Date: March 31, 2005 Please answer all questions completely. Be sure to write neatly so that your solution may be read as you intended it to be read. Partial credit will be awarded if work is shown.

Quiz4Makeup
School: Kentucky
MA 162 Finite Mathematics Recitation Quiz 4 Name Date: April 21, 2005 Please answer all questions completely. Be sure to write neatly so that your solution may be read as you intended it to be read. Partial credit will be awarded if work is shown.

Quiz4Version1
School: Kentucky
MA 162 Finite Mathematics Recitation Quiz 4 Name Date: April 5, 2005 Please answer all questions completely. Be sure to write neatly so that your solution may be read as you intended it to be read. Partial credit will be awarded if work is shown. 1

Quiz4Version2
School: Kentucky
MA 162 Finite Mathematics Recitation Quiz 4 Name Date: April 7, 2005 Please answer all questions completely. Be sure to write neatly so that your solution may be read as you intended it to be read. Partial credit will be awarded if work is shown. 1

Exam3aPDF
School: Kentucky
Math 162 Fall 2002 Exam 3 NAME_ INSTRUCTIONS: You must show all work to receive credit on a problem. Answers without supporting work will receive zero credit. You may not leave your seat or ask a question after you begin the examination. You are to a

FinalPDF
School: Kentucky
Math 162 Fall 2002 Final Exam NAME_ INSTRUCTIONS: You must show all work to receive credit on a problem. Answers without supporting work will receive zero credit. You may not leave your seat or ask a question after you begin the examination. You are

Final_1
School: Kentucky
Math 162 Fall 2002 Final Exam NAME_ INSTRUCTIONS: You must show all work to receive credit on a problem. Answers without supporting work will receive zero credit. You may not leave your seat or ask a question after you begin the examination. You are

Exam 3 Solution
School: Kentucky
Course: Applied Finite Mathematics
DEPARTMENT OF MATHEMATICS Problems from old third exams. The actual exam is expected to have 8 questions. It is recommended that all the following problems be reviewed along with the homework and quizzes. Useful formulas as they appear on exam front. (1)

Exam1_v1_lawhs
School: Kentucky
Course: Applied Finite Mathematics
DEPARTMENT OF MATHEMATICS Ma 162 First Exam February 4, 2008 DO NOT TURN THIS PAGE UNTIL YOU ARE INSTRUCTED TO DO SO. Instructions: Be sure your name, section number, and student ID are lled in below. Cell phones must be OFF and put away before you open t

Exam2_sp08_sol
School: Kentucky
Course: Applied Finite Mathematics
Ma 162 Second Exam v1 1 DEPARTMENT OF MATHEMATICS Solutions to Ma 162 Second Exam March 3, 2008 1. Consider the following Matrices and answer the questions. In each case, either calculate the expression or explain why it is not dened. 23 4 3 B = 25 3 A =

Sample Exam 4
School: Kentucky
Course: Applied Finite Mathematics
DEPARTMENT OF MATHEMATICS Ma162 Samples from old Final Exams Detailed explanations are supplied only for problems in chapters 6,7. 1. Fred Foy has $100, 000 to invest in stocks, bonds and a money market account. The stocks have an expected return rate of

Final Exam Solution
School: Kentucky
Course: Applied Finite Mathematics
DEPARTMENT OF MATHEMATICS Ma162 Samples from old Final Exams This is for your practice. 1. Fred Foy has $100, 000 to invest in stocks, bonds and a money market account. The stocks have an expected return rate of 10% per year, the bonds pay 6% per year and

Sample Final Exam
School: Kentucky
Course: Applied Finite Mathematics
Solutions of old nal exam problems. Ma 162 Spring 2010 Ma 162 Spring 2010 April 2010 Avinash Sathaye (Ma 162 Spring 2010) Old Finals. April 2010 1 / 29 Introduction. DEPARTMENT OF MATHEMATICS Ma162 Samples from old Final Exams Detailed explanations are su

Exam1_review
School: Kentucky
Course: Applied Finite Mathematics
Sample Exam 1 Solved. Ma 162 Spring 2010 Ma 162 Spring 2010 February 8, 2010 Avinash Sathaye (Ma 162 Spring 2010) Old Ex1 February 8, 2010 1 / 17 Question 1. The equation for Fahrenheit temperature in terms of Centigrade temperature is F = 9 C + 32. 5 a)

Exam2_review
School: Kentucky
Course: Applied Finite Mathematics
Sample Exam 2 Solved. Avinash Sathaye (Ma 162 Spring 2010) Ma 162 Spring 2010 Ma 162 Spring 2010 March 8, 2010 Old Ex2 March 8, 2010 1 / 16 Question 1. Consider the following Matrices and answer the questions. In each case, either calculate the expression

MA162 Finite Math Probability Problems
School: Kentucky
Course: Finite Mathematics
Probability Problems 1] Two people are selected randomly from a group of 12 Republicans and 10 Democrats. [a] Find the probability that both are Democrats. (See [2] above) [b] Find the probability the one is a Republican and one is a Democrat. (See [2] ab

Ma 162 Worksheet With Solutions
School: Kentucky
Course: Finite Mathematics
MA 162  Recitation Worksheet Solutions  Feb. 4, 2014 Annuities and Loans 1. Claire takes out a home loan worth $80,000 today. She will repay the loan by making equal payments at the end of each month for the next 20 years. The interest is 9.0% APR compo

MA 162 Finite Math Worksheet And Solutions Value Of Money
School: Kentucky
Course: Finite Mathematics
MA 162  Finite Math Introduction & Time Value of Money 1. Compute the following expressions using your calculator, and be sure to include at least 3 decimal places in your answer. 0.07 36 1 1 + 12 0.08 (12, 000) 12 b.) c.) 200 a.) 1000 (1 + 0.06) 0.07

MA 162 Finite Math Matrix Problems And Solutions
School: Kentucky
Course: Finite Mathematics
We start with a system of equations (right), to be solved. The number of variables must equal the number of equations, both equal to 3 here: x  y + 3z = 2 2x + y + 2z = 2 2x  2y + z = 3 Write the given system (above) as a single matrix equation: Capita

MA162 Finite Mathematics Notes With Solutions Loans
School: Kentucky
Course: Finite Mathematics
MA162: Finite mathematics Financial Mathematics Paul Koester University of Kentucky February 3, 2014 Schedule: Loans An amount $P is borrowed. (P stands for principal, or present value) The loan is to be repaid by making regular payments of size $R and th

Ma162 Finite Mathematics Set Theory And Counting Notes And Problems
School: Kentucky
Course: Finite Mathematics

MA162 Lecutre Notes Without Solutiuons Loans And Annuities
School: Kentucky
Course: Finite Mathematics
MA162: Finite mathematics Financial Mathematics Paul Koester University of Kentucky February 3, 2014 Schedule: Loans An amount $P is borrowed. (P stands for principal, or present value) The loan is to be repaid by making regular payments of size $R and th

MA 162 Finite Mathematics Lecture Notes With Soluitons Time Value Of Money
School: Kentucky
Course: Finite Mathematics

Exam1_sp08_sol
School: Kentucky
Course: Applied Finite Mathematics
DEPARTMENT OF MATHEMATICS Ma 162 First Exam February 4, 2008 DO NOT TURN THIS PAGE UNTIL YOU ARE INSTRUCTED TO DO SO. Instructions: Be sure your name, section number, and student ID are lled in below. Cell phones must be OFF and put away before you open t

Ma162syllabus
School: Kentucky
MA 162 Finite Mathematics Recitation Sections 1, 2, 3, & 4 Spring 2005 Instructor: Joel Kilty Oce: POT 718 Phone: 2576806 Email: jkilty@ms.uky.edu Oce Hours: M 10:00AM  11:00AM T 10:30AM  11:30AM W 10:00AM  11:00AM (in the MathSkeller) Other t

Exam1_01
School: Kentucky
MA162 Exam 1 Name_ Time and Day of Recitation_ Section Number_ INSTRUCTIONS: You must show all work to receive credit on a problem. Answers without supporting work will receive zero credit. You may not leave your seat or ask a question after you beg

Exam1aps
School: Kentucky
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Exam1bps
School: Kentucky
%!PSAdobe3.0 %Title: U:\Courses\MA162\sample_exams\e %Creator: PScript5.dll Version 5.2 %CreationDate: 1/31/2003 13:51:49 %For: molzon %BoundingBox: (atend) %Pages: (atend) %Orientation: Portrait %PageOrder: Special %DocumentNeededResources: (atend

Exam2aps
School: Kentucky
%!PSAdobe3.0 %Title: U:\Courses\MA162\sample_exams\e %Creator: PScript5.dll Version 5.2 %CreationDate: 1/31/2003 14:3:41 %For: molzon %BoundingBox: (atend) %Pages: (atend) %Orientation: Portrait %PageOrder: Special %DocumentNeededResources: (atend)

Exam2bps
School: Kentucky
%!PSAdobe3.0 %Title: U:\Courses\MA162\sample_exams\e %Creator: PScript5.dll Version 5.2 %CreationDate: 1/31/2003 14:0:57 %For: molzon %BoundingBox: (atend) %Pages: (atend) %Orientation: Portrait %PageOrder: Special %DocumentNeededResources: (atend)

Exam3aps
School: Kentucky
%!PSAdobe3.0 %Title: U:\Courses\MA162\sample_exams\e %Creator: PScript5.dll Version 5.2 %CreationDate: 1/31/2003 13:55:6 %For: molzon %BoundingBox: (atend) %Pages: (atend) %Orientation: Portrait %PageOrder: Special %DocumentNeededResources: (atend)

Exam3bps
School: Kentucky
%!PSAdobe3.0 %Title: U:\Courses\MA162\sample_exams\e %Creator: PScript5.dll Version 5.2 %CreationDate: 1/31/2003 13:55:30 %For: molzon %BoundingBox: (atend) %Pages: (atend) %Orientation: Portrait %PageOrder: Special %DocumentNeededResources: (atend

Finalaps
School: Kentucky
%!PSAdobe3.0 %Title: U:\Courses\MA162\sample_exams\f %Creator: PScript5.dll Version 5.2 %CreationDate: 1/31/2003 13:55:55 %For: molzon %BoundingBox: (atend) %Pages: (atend) %Orientation: Portrait %PageOrder: Special %DocumentNeededResources: (atend

Problems
School: Kentucky
%!PSAdobe2.0 %Creator: dvipsk 5.58f Copyright 1986, 1994 Radical Eye Software %Title: problems.dvi %Pages: 25 %PageOrder: Ascend %BoundingBox: 0 0 612 792 %EndComments %DVIPSCommandLine: dvips o problems.ps problems %DVIPSParameters: dpi=300, comm

162Ex3solutions
School: Kentucky
Solutions to some third exaam problems from the past. 1. i) A B = A + B  A B = 93 + 69  45 = 117. ii)A C = A + C  A C = 93 + 86  56 = 123. iii)B  C = B  B C = 69  39 = 30. iv) A B C = A + B + C  {A B +

Assignments
School: Kentucky
MA 162 Assignments Date Text Sections 9Jan2002 14Jan2002 16Jan2002 23Jan2002 28Jan2002 30Jan2002 4Feb2002 6Feb2002 11Feb2002 13Feb2002 18Feb2002 20Feb2002 25Feb2002 27Feb2002 4Mar2002 6Mar2002 18Mar2002 20Mar2002 2

Lecture2
School: Kentucky

Lecture11
School: Kentucky

Lecture15
School: Kentucky

Lecture_3
School: Kentucky
The third lecture Jan. 22 Section 1.3 Linear functions and mathematical models Section 1.4 Intersection of straight lines Mathematical models Y = f(x) which could be any function, such as y= mx+b. If every variable in the function is only with powe

Lecture_21
School: Kentucky
The Twentyfirst Lecture on March 5 4.2 The Simplex Method: Standard Minimization Problems 1. Minimization with <= Constraints The objective function is to be minimization All the variables involved are nonnegative. Each linear constraint may be w

Ma162f05_syllabus
School: Kentucky
Syllabus for Math 162 Recitation: Fall 2005 Section 001, 002, 003, 004 Instructor: Eric Clark Office: 806 Patterson Office Tower Email: eclark@ms.uky.edu http:/www.ms.uky.edu/~eclark Office Hours: Tuesday: 1:00 2:00 Wednesday: 1:00 2:00 Friday: 11:

Ma 162 Finite Mathematics More On Discount And Accumulated Value Notes And Examples
School: Kentucky
Course: Finite Mathematics
3 3.1 More on Accumulation and Discount Functions Introduction In previous section, we used (1.03)# of years as the accumulation factor. This section looks at other accumulation factors, including various forms of compound interest. 3.2 Interest earned ve

Finalpdf
School: Kentucky
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Lec4alt
School: Kentucky
Lecture on section 2.3 Ma 162 Spring 2009 Ma 162 Spring 2009 February 2 2009 Avinash Sathaye (Ma 162 Spring 2009) Gauss Jordan Elimination February 2 2009 1 / 15 Terminology for GaussJordan Elimination. We now explain the general GaussJordan

Lec1alt
School: Kentucky
Lecture on sections 1.1,1.2 Ma 162 Spring 2009 Ma 162 Spring 2009 January 22, 2009 Avinash Sathaye (Ma 162 Spring 2009)Beginning of Coordinate Geometry January 22, 2009 1 / 11 Basic Definitions. A linear function of one variable x is a function

Lec8alt
School: Kentucky
Lecture Simplex algorithm I Ma 162 Spring 2009 Ma 162 Spring 2009 February 2009 Avinash Sathaye (Ma 162 Spring 2009) Matrices February 2009 1 / 14 Old problem with a new method. We recall the problem we solved using the graphic method. Maximiz

Lec2alt
School: Kentucky
Lecture on sections 1.3,1.4 Ma 162 Spring 2009 Ma 162 Spring 2009 January 26, 2009 Avinash Sathaye (Ma 162 Spring 2009)Beginning of Coordinate Geometry January 26, 2009 1 / 14 Review: Basic Denitions. A linear function of one variable x is a fun

Lec8
School: Kentucky
Lecture Simplex algorithm I Ma 162 Spring 2009 Ma 162 Spring 2009 February 2009 Avinash Sathaye (Ma 162 Spring 2009) Matrices February 2009 1 / 14 Old problem with a new method. We recall the problem we solved using the graphic method. Maximiz

Lec3
School: Kentucky
Lecture on sections 2.1, 2.2 Ma 162 Spring 2009 Ma 162 Spring 2009 January 26, 28 2009 Avinash Sathaye (Ma 162 Spring 2009) Solving Linear Equations. January 26, 28 2009 1 / 16 Chapter 2.1, 2.2 Solving Linear Equations. As we have seen before,

Lec9alt
School: Kentucky
Understanding the Simplex algorithm. Ma 162 Spring 2009 Ma 162 Spring 2009 February 2009 Avinash Sathaye (Ma 162 Spring 2009) Matrices February 2009 1 / 12 Standard Optimization Problems. A standard maximization problem can be conveniently desc

R3
School: Kentucky
MA162 Review 3 The following topics and skills will be examined in the third midterm test. Trees, the multiplication principle, Venn diagrams and the inclusionexclusion principle and counting problems. Permutations, combinations and distinguishabl

T1
School: Kentucky
MA 162 Exam 1 Russell Brown 12 February, 1993 Answer all of the following questions. Use the backs of the question papers for scratch paper. Additional sheets are available if necessary. No books or notes may be used. When answering these questions

R1
School: Kentucky
MA162 Review 1 The following topics and skills will be examined in the rst midterm test. Solving 2 2 systems. Demand and supply curves. Converting between augmented matrices and systems of equations. Rewriting systems of equations as matrix equati

Oldex3
School: Kentucky
DEPARTMENT OF MATHEMATICS Ma162 Third EXAM Spring 2004 April 5, 2004 DO NOT TURN THIS PAGE UNTIL YOU ARE INSTRUCTED TO DO SO. Be sure to show all work and justify your answers. There are 5 problems and a total of 5 pages including this one. You are a

Lec1
School: Kentucky
Lecture on sections 1.1,1.2 Ma 162 Spring 2009 Ma 162 Spring 2009 January 22, 2009 Avinash Sathaye (Ma 162 Spring 2009)Beginning of Coordinate Geometry January 22, 2009 1 / 11 Basic Definitions. A linear function of one variable x is a function

Lec2
School: Kentucky
Lecture on sections 1.3,1.4 Ma 162 Spring 2009 Ma 162 Spring 2009 January 26, 2009 Avinash Sathaye (Ma 162 Spring 2009)Beginning of Coordinate Geometry January 26, 2009 1 / 14 Review: Basic Denitions. A linear function of one variable x is a fun

Lec10
School: Kentucky
Understanding monetary transactions. Ma 162 Spring 2009 Ma 162 Spring 2009 March 2009 Avinash Sathaye (Ma 162 Spring 2009) Interesting! March 2009 1 / 15 The Simple Interest. Interest is rent on borrowed money. We use the notation P for princip

Lec10alt
School: Kentucky
Understanding monetary transactions. Ma 162 Spring 2009 Ma 162 Spring 2009 March 2009 Avinash Sathaye (Ma 162 Spring 2009) Interesting! March 2009 1 / 15 The Simple Interest. Interest is rent on borrowed money. We use the notation P for princip

Lec9
School: Kentucky
Understanding the Simplex algorithm. Ma 162 Spring 2009 Ma 162 Spring 2009 February 2009 Avinash Sathaye (Ma 162 Spring 2009) Matrices February 2009 1 / 12 Standard Optimization Problems. A standard maximization problem can be conveniently desc

Lec11alt
School: Kentucky
Understanding Annuities. Ma 162 Spring 2009 Ma 162 Spring 2009 March 2009 Avinash Sathaye (Ma 162 Spring 2009) Multiply Interesting! March 2009 1 / 12 Some Algebraic Terminology. We recall some terms and calculations from elementary algebra. A

Lec12alt
School: Kentucky
Lectures on Sets. Ma 162 Spring 2009 Ma 162 Spring 2009 April 2009 Avinash Sathaye (Ma 162 Spring 2009) Chapter 6. April 2009 1 / 12 Set Notations. Sets are collections of objects. For convenience and to avoid some logical problems, we always a

Lec3alt
School: Kentucky
Lecture on sections 2.1, 2.2 Ma 162 Spring 2009 Ma 162 Spring 2009 January 26, 28 2009 Avinash Sathaye (Ma 162 Spring 2009) Solving Linear Equations. January 26, 28 2009 1 / 16 Chapter 2.1, 2.2 Solving Linear Equations. As we have seen before,

Lec7alt
School: Kentucky
The Linear Programming Begins Ma 162 Spring 2009 Ma 162 Spring 2009 February 2009 Avinash Sathaye (Ma 162 Spring 2009) Matrices February 2009 1 / 17 Inequalities. We discuss inequalities in two or more variables. An inequality in one variable

Ex1_old
School: Kentucky
DEPARTMENT OF MATHEMATICS Ma162 FIRST EXAM Spring 2004 February 16, 2004 DO NOT TURN THIS PAGE UNTIL YOU ARE INSTRUCTED TO DO SO. Be sure to show all work and justify your answers. There are 7 problems and a total of 8 pages including this one. You a

Oldex4
School: Kentucky
DEPARTMENT OF MATHEMATICS Ma162 Solved Final EXAM Spring 2004 This exam illustrates many of the problems that are expected to be on the next nal. However, you should not assume that problem types absent from this exam need not be studied. You need to