finite mathematics: everything!

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Following the table of contents in Finite Mathematics 7e
by
Stefan Waner and Steven R. Costenoble
You can get back here from anywhere by using the Everything for Finite Math link.
Note: To change the edition of the book, use the navigation on the top left.
 

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Chapter 0 Precalculus review
0.1 Real numbers		0.1 Tutorial | Adaptive game tutorial
0.2 Exponents and radicals		0.2 Tutorial | Adaptive game tutorial
0.3 Multiplying and factoring algebraic equations		0.3 Tutorial | Adaptive game tutorial
0.4 Rational expressions		0.4 Tutorial | Adaptive game tutorial
0.5 Solving polynomial equations		0.5 Tutorial | Adaptive game tutorial
0.6 Solving miscellaneous equations		0.6 Tutorial | Adaptive game tutorial
0.7 The coordinate plane
0.8 Logarithms		0.8 Tutorial | Adaptive game tutorial
Chapter 1 Functions and applications
1.1 Functions from the numerical, algebraic, and graphical viewpoints		1.1 Tutorial | Adaptive game tutorial | Video  Video  for Section 1.1: Introduction to functions | Practice/visualize Practice/visualize for Section 1.1: Evaluating a function specified numerically Evaluating a function specified algebraically Evaluating a function specified graphically Piecewise-defined function Matching functions to graphs
1.2 Functions and models		1.2 Tutorial | Game tutorial | Videos Videos for Section 1.2: Part A: Cost, revenue, and profit models Part B: Demand, supply and time-change models | Practice/visualize Practice/visualize for Section 1.2: Cost, revenue, and profit Demand function Equilibrium price Time-change models Radioactive decay
1.3 Linear functions and models		1.3 Tutorial | Game tutorial | Videos Videos for Section 1.3: Part A: Basics: Slope and intercept Part B: Finding the equation of a line Part C: Applications: Linear models | Practice/visualize Practice/visualize for Section 1.3: Graphing y = mx + b Finding the equation of a line Finding a linear cost equation Finding a linear demand equation Modeling linear change over time Temperature conversion
1.4 Linear regression		1.4 Tutorial | Game tutorial | Videos Videos for Section 1.4: Part A: Sum of Squares Error Part B: The regression line | Practice/visualize Practice/visualize for Section 1.4: Calculating the sum of squares error Calculating the regression line
Online: New functions from old: Scaled and shifted functions
Online: Fitting curves to data: Linear and exponential regression
Case study:  Modeling spending on Internet advertising
Chapter 1 resources
Chapter summary | Chapter true/false quiz | Chapter review exercises | Chapter Excel tutorials
Chapter 1 tools
Function evaluator and grapher | Excel grapher | Simple regression utility
Chapter 2 Mathematics of finance
2.1 Simple interest		2.1 Tutorial | Game tutorial | Practice/visualize Practice/visualize for Section 3.1: Calculating simple interest Calculating simple interest: general periods
2.2 Compound interest		2.2 Tutorial | Game tutorial | Practice/visualize Practice/visualize for Section 3.2: Calculating compound interest Calculating the effective rate
2.3 Annuities, loans, and bonds		2.3 Tutorial | Game tutorial | Practice/visualize Practice/visualize for Section 3.3: Accumulation: Future value Annuitization: Present value Martgages
Case study:  Adjustable rate and subprime mortgages
Chapter 2 resources
Chapter summary | Chapter true/false quiz | Chapter review exercises | Chapter Excel tutorials
Chapter 2 tools
Time value of money utility
Chapter 3 Systems of linear equations and matrices
3.1 Systems of two linear equations in two unknowns		3.1 Tutorial | Game tutorial | Videos Videos for Section 3.1: Part A: Solving graphically Part B: Solving by elimination Part C: Applications | Practice/visualize Practice/visualize for Section 4.1: Solving a system (2 unknowns)
3.2 Using matrices to solve systems of equations		3.2 Tutorial | Game tutorial | Videos Videos for Section 3.2: Part A: The matrix of a system of linear equations Part B: Solving a system by Gauss-Jordan Part C: Inconsistent and underdetermined systems Using the onine Gauss-Jordan tool to reduce a matrix | Practice/visualize Practice/visualize for Section 4.2: Solving a system by Gauss-Jordan (unique solution) Solving a system by Gauss-Jordan (many solutions or no solution)
3.3 Applications of systems of linear equations		3.3 Tutorial | Game tutorial | Videos Videos for Section 3.3: Part A: Setting up applications Part B: Traffic flow | Practice/visualize Practice/visualize for Section 4.3: Solving a blending problem Solving a traffic-flow problem
Case study:  Hybrid cars: Optimizing the degree of hybridization
Chapter 3 resources
Chapter summary | Chapter true/false quiz | Chapter review exercises | Chapter Excel tutorials
Chapter 3 tools
Pivot and Gauss-Jordan tool | Excel pivot and Gauss-Jordan tool | Pivot program for graphing calculator (TI-82/83/84/85/86)
Chapter 4 Matrix algebra
4.1 Matrix addition and scalar multiplication		4.1 Tutorial | Game tutorial | Video  Video  for Section 4.1: Matrix addition and scalar multiplication
4.2 Matrix multiplication		4.2 Tutorial | Game tutorial | Video  Video  for Section 4.2: Matrix multiplication | Practice/visualize Practice/visualize for Section 5.2: Matrix multiplication Application of matrix multiplication
4.3 Matrix inversion		4.3 Tutorial | Game tutorial | Video  Video  for Section 4.3: Matrix inversion | Practice/visualize Practice/visualize for Section 5.3: Finding a matrix inverse Determinant and inverse of a 2 × 2 matrix Solving systems with matrix inverses
4.4 Game theory		4.4 Tutorial | Game tutorial | Videos Videos for Section 4.4: Part A: Zero-sum games and mixed strategies Part B: Fundamental principle, reduction by dominance, and saddle points Part C: Solving 2×2 games | Practice/visualize Practice/visualize for Section 5.4: Expected value of a game Optimal counterstrategy Strictly determined game
4.5 Input-output models		4.5 Tutorial
Online: Determinants and Cramer's Rule (pdf only)
Case study:  Projecting market share
Chapter 4 resources
Chapter summary | Chapter true/false quiz | Chapter review exercises | Chapter Excel tutorials
Chapter 4 tools
Pivot program for graphing calculator (TI-82/83/84/85/86) | Matrix algebra tool
Chapter 5 Linear programming
5.1 Graphing linear inequalities		5.1 Tutorial | Game tutorial | Video  Video  for Section 5.1: Graphing linear inequalities | Practice/visualize Practice/visualize for Section 6.1: Graphing single inequalities Graphing two simultaneous inequalities Graphing three simultaneous inequalities
5.2 Solving linear programming problems graphically		5.2 Tutorial | Game tutorial | Video  Video  for Section 5.2: Solving linear programming problems graphically | Practice/visualize Practice/visualize for Section 6.2: Linear programming graphically (two constraints) Linear programming graphically (three constraints)
5.3 The simplex method: Solving standard maximization problems		5.3 Tutorial | Game tutorial | Video  Video  for Section 5.3: The simplex method: Standard maximization problems | Practice/visualize Practice/visualize for Section 6.3: Simplex method (standard LP problem)
5.4 The simplex method: Solving general linear programming problems		5.4 Tutorial | Game tutorial | Video  Video  for Section 5.4: The simplex method: General LP problems | Practice/visualize Practice/visualize for Section 6.4: Simplex method (nonstandard maximize problem)
5.5 The simplex method and duality
Case study:  The diet problem		Diet problem solver
Chapter 5 resources
Chapter summary | Chapter true/false quiz | Chapter review exercises | Chapter Excel tutorials
Chapter 5 tools
Linear programming grapher | Simplex method tool | Pivot and Gauss-Jordan tool | Excel pivot and Gauss-Jordan tool | Pivot program for graphing calculator (TI-82/83/84/85/86) | Diet problem solver | Linear programming grapher app (Android) | Linear programming grapher app for iPhone, iPad, and iPod touch
Chapter 6 Sets and counting
6.1 Set operations		6.1 Tutorial | Adaptive game tutorial | Video  Video  for Section 6.1: Set operations
6.2 Cardinality		6.2 Tutorial | Adaptive game tutorial | Video  Video  for Section 6.2: Cardinality
6.3 Decision algorithms: The addition and multiplication principles		6.3 Tutorial | Game tutorial | Video  Video  for Section 6.3: Addition and multiplication principles
6.4 Permutations and combinations		6.4 Tutorial | Game tutorial | Video  Video  for Section 6.4: Permutations and combinations
Case study:  Designing a puzzle
Chapter 6 resources
Chapter summary | Chapter true/false quiz | Chapter review exercises
Chapter 7 Probability
7.1 Sample spaces and events		7.1 Tutorial | Game tutorial | Video  Video  for Section 7.1: Sample spaces and events
7.2 Relative frequency		7.2 Tutorial | Game tutorial | Video  Video  for Section 7.2: Relative frequency
7.3 Probability and probability models		7.3 Tutorial | Game tutorial | Videos Videos for Section 7.3: Probability models Part A Probability models Part B
7.4 Probability and counting techniques
7.5 Conditional probability and independence		7.5 Tutorial | Game tutorial | Videos Videos for Section 7.5: Conditional probability Part A Conditional probability Part B
7.6 Bayes' Theorem and Applications		7.6 Tutorial | Game tutorial | Video  Video  for Section 7.6: Bayes' theorem and applications
7.7 Markov systems		Video  Video  for Section 7.7: Markov systems
Case study:  The Monty Hall problem		Online Monty Hall simulation
Chapter 7 resources
Chapter summary | Chapter true/false quiz | Chapter review exercises
Chapter 7 tools
Markov system simulation | Matrix algebra tool | Markov system computation utility
Chapter 8 Random variables and statistics
8.1 Random variables and distributions		8.1 Tutorial | Game tutorial | Video  Video  for Section 8.1: Random variables and distributions
8.2 Bernoulli trials and binomial random variables		8.2 Tutorial | Adaptive game tutorial | Video  Video  for Section 8.2: Bernoulli trials and binomial random variables
8.3 Measures of central tendency		8.3 Tutorial
8.4 Measures of dispersion		8.4 Tutorial
8.5 Normal distributions
Online: Sampling distributions and the Central Limit Theorem
Online: Confidence intervals
Online: Calculus applied to statistics (online chapter)
Online: Fitting curves to data: Linear and exponential regression
Case study:  Spotting tax fraud with Benford's law
Chapter 8 resources
Chapter summary | Chapter true/false quiz | Chapter review exercises
Chapter 8 tools
Histogram utility | Binomial distribution utility | Normal distribution utility | Normal distribution table
Chapter L: Introduction to logic
An expanded version of Appendix A in the textbook. A complete text version of this chapter can be downloaded here.
L.1 Statements and logical operators
L.2 Logical equivalence, tautologies and contradictions
L.3 The conditional and the biconditional
L.4 Tautological implications and tautological equivalences
L.5 Rules of inference
L.6 Arguments and proofs
L.7 Predicate calculus

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