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Following the table of contents in Finite Mathematics 6e
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 | Practice/visualize Practice/visualize for Section 0.1: Identifying types of real numbers from their decimal expansions Deciding on the order in which to do operations on real numbers Calculating the value of mathematical expressions using the standard order of operations Reading a technology formula Entering a technology formula Determining whether a real number is an element of a given interval
0.2 Exponents and radicals		0.2 Tutorial | Adaptive game tutorial | Practice/visualize Practice/visualize for Section 0.2: Positive exponents: meaning and calculations Negative exponents: meaning and calculations Exponent identities for products, quotients and powers with a fixed base Exponent identities for powers of products and quotients Combining the exponential identities Converting to power form and positive exponent form Calculating numbers raised to fractional powers Converting between radicals and exponents Converting numbers and expressions to simplest radical form Converting between positive exponent, power, and simplest radical forms (one variable) Compound expressions in positive exponent, power, and simplest radical forms
0.3 Multiplying and factoring algebraic expressions		0.3 Tutorial | Adaptive game tutorial | Practice/visualize Practice/visualize for Section 0.3: Applying the distributive law: distributing a single term Applying the distributive law: distributing multiple terms Using FOIL to multiply binomials Expanding differences of squares and squares of sums and differences
0.4 Rational expressions		0.4 Tutorial | Adaptive game tutorial | Practice/visualize Practice/visualize for Section 0.4: Identifying rational expressions Cancellation in rational expressions Multiplying rational expressions Dividing rational expressions Adding and subtracting rational expressions: Same denominator Algebra of rational expressions summarized
0.5 Solving polynomial equations		0.5 Tutorial | Adaptive game tutorial | Practice/visualize Practice/visualize for Section 0.5: Identifying the degee of a polynomial Solving a linear equation Solving a quadratic equation by factoring Deciding whether a quadratic expression factors Solving quadratic equations with the quadratic formula Solving cubic equations with no constant term Solving cubic equations where at least one solution is rational
0.6 Solving miscellaneous equations		0.6 Tutorial | Adaptive game tutorial | Practice/visualize Practice/visualize for Section 0.6: Solving equations of the form PQ = 0 Solving equations of the form P/Q = 0 Solving miscellaneous equations
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 | Practice/visualize Practice/visualize for Section 1.1: Evaluating a function specified numerically Evaluating a function specified algebraically Graphing a function specified algebraically Evaluating a function specified graphically Piecewise-defined function Piecewise-defined function: Three pieces Matching functions to graphs Visualizing functions: A compendium of basic functions | Video  Video  for Section 1.1: Introduction to functions
1.2 Functions and models		1.2 Tutorial | Adaptive game tutorial | Practice/visualize Practice/visualize for Section 1.2: Constructing a linear model given m and b directly Constructing a linear model with a restricted domain given m and b directly Cost, revenue, and profit Demand function Equilibrium price graphically Equilibrium price analytically Time-change models Compound interest future value: function form Radioactive decay | Videos Videos for Section 1.2: Part A: Cost, revenue, and profit models Part B: Demand, supply and time-change models Using a spreadsheet
1.3 Linear functions and models		1.3 Tutorial | Adaptive game tutorial | Practice/visualize Practice/visualize for Section 1.3: Graphing a linear function by simply plotting points Understanding slope and intercept and hence graphing a linear function Finding the slope of a line through two points Finding the equation of a line Finding a linear cost equation Finding a linear demand equation Modeling linear change over time Temperature conversion | 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
1.4 Linear regression		1.4 Tutorial | Game tutorial | Practice/visualize Practice/visualize for Section 1.4: Calculating predicted values for a linear model Calculating residuals for a linear model Calculating the sum of squares error Calculating the regression line | Video  Video  for Section 1.4: Linear Regression
Online: New functions from old: Scaled and shifted functions		Tutorial: New functions from old: Scaled and shifted functions | Adaptive game tutorial
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 2.1: Calculating simple interest Calculating future value under simple interest Calculating the future value of an investment with simple interest Calculating present value under simple interest Calculating the present value of an investment with simple interest Calculating the effective interest rate of a loan fee
2.2 Compound interest		2.2 Tutorial | Game tutorial | Practice/visualize Practice/visualize for Section 2.2: Calculating future value under compound interest Calculating the future value of an investment under compound annual interest Calculating present value under compound interest Comparing prices using constant dollars Calculating the effective rate Calculating the time for an investment to grow to a target
2.3 Annuities, loans, and bonds		2.3 Tutorial | Game tutorial | Practice/visualize Practice/visualize for Section 2.3: Calculating the future value of an accumulating annuity Calculating the future value of an account with periodic deposits Calculating the payments needed to accumulate a desired value Calculating the payments needed to fund a retirement account Calculating the present value of an annuity account Funding a retirement plan Calculating the payments from an annuity Funding an education fund Car loans
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 | Adaptive game tutorial | Practice/visualize Practice/visualize for Section 3.1: Identifying linear equations in two unknowns Identifying coefficients and solutions of linear equations in two unknowns Finding solutions of a linear equation Solving a system of two linear equations in two unknowns graphically: unique solution Solving a system of two linear equations in two unknowns graphically: all types Solving a system of three linear equations in two unknowns graphically Solving a linear system in two unknowns by elimination: unique solution Elimination method in linear systems in two unknowns: non unique solution and no solution Straightforward application of two linear equations in two unknowns Less straightforward application of two linear equations in two unknowns Applications of linear systems in two unknowns with a tabular setup Translating words into linear equations: two unknowns | Videos Videos for Section 3.1: Linear equations in two unknowns: Basics Applications of linear equations in two unknowns
3.2 Using matrices to solve systems of equations		3.2 Tutorial | Adaptive game tutorial | Practice/visualize Practice/visualize for Section 3.2: Setting up the augmented matrix of a linear system Doing elementary row operations Converting an integral matrix to lowest terms Pivoting and simplification steps in reducing an integral matrix Solving a system by Gauss-Jordan (unique solution) Solving a system by Gauss-Jordan (many solutions or no solution) Checking if a matrix is row-reduced General and particular solutions from a reduced matrix (2 unknowns) General and particular solutions from a reduced matrix (3 unknowns) | 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
3.3 Applications of systems of linear equations		3.3 Tutorial | Adaptive game tutorial | Practice/visualize Practice/visualize for Section 3.3: Solving a blending problem Solving a traffic-flow problem | Videos Videos for Section 3.3: Applications of systems of linear equations A: Traffic flow problems Applications of systems of linear equations B: Transportation problems
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 | Practice/visualize Practice/visualize for Section 4.1: Matrix elements Matrix addition and subtraction Calculating change in sales using matrix subtraction Matrix transposition | Video  Video  for Section 4.1: Matrix addition and scalar multiplication
4.2 Matrix multiplication		4.2 Tutorial | Game tutorial | Practice/visualize Practice/visualize for Section 4.2: Multiplication of a row times a column Calculating revenue using a row times a column Matrix multiplication Calculating revenue using matrix multiplication | Video  Video  for Section 4.2: Matrix multiplication
4.3 Matrix inversion		4.3 Tutorial | Game tutorial | Practice/visualize Practice/visualize for Section 4.3: Finding a matrix inverse Determinant and inverse of a 2 × 2 matrix Solving systems of equations with matrix inverses | Video  Video  for Section 4.3: Matrix inversion
4.4 Game theory		4.4 Tutorial | Game tutorial | Practice/visualize Practice/visualize for Section 4.4: Expected payoff of a game Optimal counterstrategy Strictly determined game | 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
4.5 Input-output models		4.5 Tutorial | Practice/visualize Practice/visualize for Section 4.5: Input-output model
Online: Determinants and Cramer's Rule (pdf only)
Case study:  Social network analysis
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 | Practice/visualize Practice/visualize for Section 5.1: Graphing single inequalities Graphing two simultaneous inequalities Finding corner points of the solution set | Video  Video  for Section 5.1: Graphing linear inequalities
5.2 Solving linear programming problems graphically		5.2 Tutorial | Game tutorial | Practice/visualize Practice/visualize for Section 5.2: Solving a linear programming problem graphically Application of a linear programming problem in two unknowns with steps Application of a (less straightforward) linear programming problem in two unknowns | Video  Video  for Section 5.2: Solving linear programming problems graphically
5.3 The simplex method: Solving standard maximization problems		5.3 Tutorial | Adaptive game tutorial | Practice/visualize Practice/visualize for Section 5.3: Recognizing when a LP problem can be rewritten as a standard LP problem Converting a standard maximization problem to equation form Reading the basic solution from a simplex tableau Choosing the pivot in a standard simplex tableau Pivoting in the simplex method (integral matrices) Simplex method (standard maximization problem) | Videos Videos for Section 5.3: Part A: Introducing the simplex method Part B: Simplex method: Start to finish
5.4 The simplex method: Solving general linear programming problems		5.4 Tutorial | Adaptive game tutorial | Practice/visualize Practice/visualize for Section 5.4: Converting a nonstandard maximization problem to equation form Choosing a pivot in a simplex tableau during Phase 1 Simplex method (nonstandard maximization problem) | Video  Video  for Section 5.4: The simplex method: General LP problems
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 | Practice/visualize Practice/visualize for Section 6.1: Determining whether an item is an element of a set Determining the relationship between two sets Finding the union of two sets Finding the intersection of two sets Finding the complement of a set Setting up a Venn diagram and applying unions, intersections, and complements Finding the Cartesian product of two sets Cartesian products applied to sets of outcomes in multi-step experiments | Videos Videos for Section 6.1: Part A: Basics, unions, intersections Part B: Complements and completing Venn Diagrams Part C: Cartesian products and sets of outcomes
6.2 Cardinality		6.2 Tutorial | Adaptive game tutorial | Practice/visualize Practice/visualize for Section 6.2: Finding the cardinality of a finite set Cardinality of the union and intersection of two sets Cardinality: complements of unions and intersections Calculating the cardinality of a cartesian product: sets of outcomes in multi-step experiments | Video  Video  for Section 6.2: Cardinality
6.3 Decision algorithms: The addition and multiplication principles		6.3 Tutorial | Adaptive game tutorial | Practice/visualize Practice/visualize for Section 6.3: Decision algorithms: addition principle Decision algorithms: multiplication principle Decision algorithms: Combining the addition and multiplication principles Determining whether a decision algorithm is valid | Video  Video  for Section 6.3: Addition and multiplication principles
6.4 Permutations and combinations		6.4 Tutorial | Adaptive game tutorial | Practice/visualize Practice/visualize for Section 6.4: Warmup application exercise for permutations Applying factorials in permuttions of objects Applying permutations Applying permutations 2 | 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		7.7 Tutorial | Game tutorial | Practice/visualize Practice/visualize for Section 7.7: Setting up a Markov transition matrix Calculating distribution vectors in a Markov system Finding the steady state vector of a regular Markov system | 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 | Practice/visualize Practice/visualize for Section 8.2: Identifying binomial random variables Binomial random variables: calculating the probability of a specific value Binomial random variables: calculating the probability distribution | 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