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Math 11
FINITE MATH
MATH 11 UPDATE
Textbook: Applied Finite Mathematics 2nd Edition, by R Sekhon.
Graphing Calculator Required: TI-83, 83+ or 84+ graphing calculator
are recommended for this class
You can rent a TI-83 at a low monthly cost at www.myti83.com
TI-86 is also acceptable but instructor will not demonstrate it in class.
Math 11 Syllabus
Math 11 Calendar
Math 11 Finite Mathematics is an introduction to a variety of mathematical
techniques that are used to model and solve problems in business.
Topics covered include linear models, matrices, linear programming, finance,
combinatorics, probability, Markov chains and game theory.
Students will use technology as appropriate, including the graphing calculator and Excel.
Which calculator is best to use?
The instructor will demonstrate
the TI-83, 83+, 84 in class.
These calculators will be the easiest to learn.
TI-86 is also acceptable, but the instructor will not demonstrate it.
The TI-89 is acceptable for use in Math 11 but the TI-89 is NOT recommended.
The instructor will not teach in class how to use a TI-89. It is harder to use and
you will need to be independent and responsible to learn how to use it on your own from your instruction manual.
The instructor has a program that we will use during the quarter that she
will download to student's TI 83, 83+, 84, 86 calculators and this program may not
be available for other calculator models.
Older models such as the TI-82 and 85 have some of the same functionality
as the TI-83,84,86, but may lack some of the required functions or operations.
The instructor can not help with calculators from other manufacturers,
which may not be able to do the work, and can not run any programs that will
be given to students using the TI-83, 83+, 84, 86.
Web Resources for Math 11
Math 11 Solutions
M11 Calculator Resources
De Anza College Math Tutorial Center, located in Room S-43
Sign up at the tutorial center desk and check for availability of drop in, group or individual tutoring
http://www.deanza.edu/tutorial/
Content Related Resources, listed by Topic Title
FINANCE Chapter 5 in Sekhon text
Explanation & Comparison of Simple vs Compound Interest
http://www.financeprofessor.com/introcorpfinnotes/simplevscompound.htm
Worksheet Problem for Simple vs Compound(annual)Interest
http://nebula.deanza.fhda.edu/math/FT/Bloom/Math11/M11SimpleCompndWS.pdf
Answers to parts b c, d, e of worksheet problems
Parts b & c: http://nebula.deanza.fhda.edu/math/FT/Bloom/Math11/M11SimpleCompndWSAnsbc.GIF
Part d: http://nebula.deanza.fhda.edu/math/FT/Bloom/Math11/M11SimpleCompndWSAnsd.GIF
Part e: http://nebula.deanza.fhda.edu/math/FT/Bloom/Math11/M11SimpleCompndWSAnse.GIF
Multi-Step Finance Problems:
Class Lecture Examples:
http://nebula.deanza.fhda.edu/math/FT/Bloom/Math11/M11Finance2StepClassEx1.gif
http://nebula.deanza.fhda.edu/math/FT/Bloom/Math11/M11Finance2StepClassEx2.gif
Multistep Finance Problems Homework Handout: http://nebula.deanza.fhda.edu/math/FT/Bloom/Math11/M11MultiStepFinanceProbs.pdf
Solutions to Multistep Finance HW Problems: http://nebula.deanza.fhda.edu/math/FT/Bloom/Math11/M11MultiStepFinanceAns.pdf
15 & 30 Year Traditional Mortgage Examples:
Class Lecture Example: http://nebula.deanza.fhda.edu/math/FT/Bloom/Math11/M11TradMortHandout.pdf
Complete Amortization (Loan) Schedule for 15 year Mortgage
shows all (12)(15) = 180 monthly payments
http://nebula.deanza.fhda.edu/math/FT/Bloom/Math11/M11TradMortgageSched.pdf
Finding the Outstanding Balance of a Loan
http://nebula.deanza.fhda.edu/math/FT/Bloom/Math11/M11OutstandBalance.pdf
LINEAR MODELS
Break Even Analysis, Additional Class Example, not in textbook,
with solution, to accompany Chapter 1.5 in Sekhon Text
http://nebula.deanza.fhda.edu/math/FT/Bloom/Math11/LinearBreakEvenExample.pdf
Supply, Demand & Equilibrium, Additional Class Example, not in textbook,
with solution, to accompany Chapter 1.5 in Sekhon Text
http://nebula.deanza.fhda.edu/math/FT/Bloom/Math11/LinearSupplyDemandExample.pdf
MATRICES: Chapter 2 in Sekhon text
Solutions to Practice Problems worksheet for solving systems of linear equations using row operations
(Gauss Jordan Method)
http://nebula.deanza.fhda.edu/math/FT/Bloom/Math11/M11GJordPracticeAns.doc
Calculator Instructions for Matrices on TI Calculators
http://nebula.deanza.fhda.edu/math/FT/Bloom/Math11/TICalcMatrixInstrRB.doc
LINEAR PROGRAMMING- Graphical (Geometric) Solutions Chapter 3 in Sekhon Text
Solution Worksheet
http://nebula.deanza.fhda.edu/math/FT/Bloom/Math11/M11LPG_SolutionSheet.pdf
Section 3.1 Answer to "Desk" Practice Problem from Class Handout:
http://nebula.deanza.fhda.edu/math/FT/Bloom/Math11/LPGeoMaxPractProbAns.pdf
Why do we know that an optimal solution will occur at a corner?
Example: http://nebula.deanza.fhda.edu/math/FT/Bloom/Math11/M11LP_GraphWhyCorner.pdf
Why do we need to check the point (0,0)? Because it may be the optimal solution!
Example: http://nebula.deanza.fhda.edu/math/FT/Bloom/Math11/M11LP_GraphWhyCheckOrigin.pdf
LINEAR PROGRAMMING- Simplex Method Chapter 4 in Sekhon Text
Simplex Mathod Notes: http://nebula.deanza.fhda.edu/math/FT/Bloom/Math11/M11LP_SimplexNotes.pdf
For this chapter you need to get the APIVOT program for your calculator from your instructor. Program IS available for TI-83, 84, 86
For other models of calculator, program may not be available - you were informed about this at start of quarter when TI-83, 84, 86 were listed as the acceptable calculators. Please see instructor if you are using a different TI calculator to see if there might be a program that may work on your calculator. For other brands of calculator, the instructor definitely does NOT have a version of the program for your calculator - borrow an acceptable calculator from a friend or the library or do the individual row operations to perform the pivots.
Section 4.1 Farm Problem (Wheat, Corn & Tomatoes) class example
http://nebula.deanza.fhda.edu/math/FT/Bloom/Math11/M11LP_Farm3CropSimplex.doc
COMBINATORICS Ch. 6 in Sekhon Text
Section 6.6 Additional Homework Problems and solutions
Word document: problems on page 1; solutions on page 2
http://nebula.deanza.fhda.edu/math/FT/Bloom/Math11/M11Sect6pt6AdditionalHW.doc
Combinatorics Mixed Practice (Counting Problems) (Sections 6.2, 6.3, 6.4, 6.5, 6.6: Multiplication Rule, Permutations, Combinations)
Problems only: http://nebula.deanza.fhda.edu/math/FT/Bloom/Math11/CountingProblemsPractice.doc
Answers: http://nebula.deanza.fhda.edu/math/FT/Bloom/Math11/CountingPracticeAns.doc
PROBABILITY Ch 7 & 8 in Sekhon Text
Probability Practice Problems for Addition and Complement Rules
http://nebula.deanza.fhda.edu/math/FT/Bloom/Math11/M11ProbAddCompRulePract.pdf
Problems & Answers: http://nebula.deanza.fhda.edu/math/FT/Bloom/Math11/M11ProbAddCompRulePractAns.pdf
Probability Practice Problems for probability involving combinations
http://nebula.deanza.fhda.edu/math/FT/Bloom/Math11/Ch7pt3nCrProbPractice.pdf
Answers: http://nebula.deanza.fhda.edu/math/FT/Bloom/Math11/Ch7pt3nCrProbPractAns.pdf
Handouts were distributed in class for many sections in Ch 7, 8, & 9.
Handouts are not available on web; you need to get them from the instructor.
Solutions to Bayes Formula Homework Problems from class handouts
#1: http://nebula.deanza.fhda.edu/math/FT/Bloom/Math11/M11BayesHW1AnsF07.gif
#2: http://nebula.deanza.fhda.edu/math/FT/Bloom/Math11/M11BayesHW2AnsF07.gif
#3 , #4: http://nebula.deanza.fhda.edu/math/FT/Bloom/Math11/M11BayesHW34AnsF07.gif
#5: http://nebula.deanza.fhda.edu/math/FT/Bloom/Math11/M11BayesHW5AnsF07.gif
#6 , #7: http://nebula.deanza.fhda.edu/math/FT/Bloom/Math11/M11BayesHW67AnsF07.gif
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