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finite mathematics & applied calculus: everything!



Following the table of contents in Finite Mathematics and Applied Calculus 7e
by
Stefan Waner and Steven R. Costenoble

You can get back here from anywhere by using the Everything link.
Note: To change the edition of the book, use the navigation on the top left.

 
Chapter 0 Precalculus review
0.1 Real numbers0.1 Tutorial | Adaptive game tutorial
0.2 Exponents and radicals0.2 Tutorial | Adaptive game tutorial
0.3 Multiplying and factoring algebraic equations0.3 Tutorial | Adaptive game tutorial
0.4 Rational expressions 0.4 Tutorial | Adaptive game tutorial
0.5 Solving polynomial equations0.5 Tutorial | Adaptive game tutorial
0.6 Solving miscellaneous equations0.6 Tutorial | Adaptive game tutorial
0.7 The coordinate plane
0.8 Logarithms

Chapter 1 Functions and applications
1.1 Functions from the numerical, algebraic, and graphical viewpoints1.1 Tutorial | Game tutorial |
Video 
Video  for Section 1.1:
Introduction to functions
|
1.2 Functions and models1.2 Tutorial | Game tutorial | |
1.3 Linear functions and models1.3 Tutorial | Game tutorial | |
1.4 Linear regression1.4 Tutorial | Game tutorial | |
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 Nonlinear functions and models
2.1 Quadratic functions and models2.1 Tutorial | Game tutorial | |
2.2 Exponential functions and models2.2 Tutorial | |
2.3 Logarithmic functions and models2.3 Tutorial | |
2.4 Logistic functions and models
Video 
Video  for Section 2.4:
Logistic functions and models
|
Practice/visualize
Practice/visualize for Section 2.4:
Logistic functions: Basics
Online: Inverse functions
Online: Fitting curves to data: linear and exponential regression
Online: Using and Deriving Algebraic Properties of Logarithms
Case study:  Checking up on MalthusWheat production data
 
Chapter 2 resources
Chapter summary | Chapter true/false quiz | Chapter review exercises | Chapter Excel tutorials
 
Chapter 2 tools
Function evaluator and grapher | Excel grapher | Simple regression utility

Chapter 3 Mathematics of finance
3.1 Simple interest3.1 Tutorial | Game tutorial |
3.2 Compound interest3.2 Tutorial | Game tutorial |
3.3 Annuities, loans, and bonds3.3 Tutorial | Game tutorial |
Case study:  Adjustable rate and subprime mortgages
 
Chapter 3 resources
Chapter summary | Chapter true/false quiz | Chapter Excel tutorials
 
Chapter 3 tools
Time value of money utility

Chapter 4 Systems of linear equations and matrices
4.1 Systems of two linear equations in two unknowns 4.1 Tutorial | Game tutorial | |
Practice/visualize
Practice/visualize for Section 4.1:
Solving a system (2 unknowns)
4.2 Using matrices to solve systems of equations 4.2 Tutorial | Game tutorial | |
4.3 Applications of systems of linear equations 4.3 Tutorial | Game tutorial | |
Case study:  Hybrid cars: Optimizing the degree of hybridization
 
Chapter 4 resources
Chapter summary | Chapter true/false quiz | Chapter review exercises | Chapter Excel tutorials
 
Chapter 4 tools
Pivot and Gauss-Jordan tool | Excel pivot and Gauss-Jordan tool | Pivot program for graphing calculator (TI-82/83/84/85/86)

Chapter 5 Matrix algebra
5.1 Matrix addition and scalar multiplication5.1 Tutorial | Game tutorial |
5.2 Matrix multiplication5.2 Tutorial | Game tutorial |
Video 
Video  for Section 5.2:
Matrix multiplication
|
5.3 Matrix inversion5.3 Tutorial | Game tutorial |
Video 
Video  for Section 5.3:
Matrix inversion
|
5.4 Game theory5.4 Tutorial | Adaptive game tutorial | |
5.5 Input-output models5.5 Tutorial
Online: Determinants and Cramer's Rule (pdf only)
Case study:  Projecting market share
 
Chapter 5 resources
Chapter summary | Chapter true/false quiz | Chapter review exercises | Chapter Excel tutorials
 
Chapter 5 tools
Pivot program for graphing calculator (TI-82/83/84/85/86) | Matrix algebra tool

Chapter 6 Linear programming
6.1 Graphing linear inequalities6.1 Tutorial | Game tutorial |
Video 
Video  for Section 6.1:
Graphing linear inequalities
|
6.2 Solving linear programming problems graphically6.2 Tutorial | Game tutorial | |
6.3 The simplex method: Solving standard maximization problems6.3 Tutorial | Game tutorial | |
6.4 The simplex method: Solving general linear programming problems6.4 Tutorial | Game tutorial | |
6.5 The simplex method and duality
Case study:  The diet problemDiet problem solver
 
Chapter 6 resources
Chapter summary | Chapter true/false quiz | Chapter review exercises | Chapter Excel tutorials
 
Chapter 6 tools
Linear programming grapher | Simplex method tool | Pivot and Gauss-Jordan tool | Excel pivot and Gauss-Jordan tool | Diet problem solver | Linear programming grapher app (Android)

Chapter 7 Sets and counting
7.1 Set operations
Video 
Video  for Section 7.1:
Set operations
7.2 Cardinality
Video 
Video  for Section 7.2:
Cardinality
7.3 Decision algorithms: The addition and multiplication principles 7.3 Tutorial | Game tutorial |
7.4 Permutations and combinations7.4 Tutorial | Game tutorial |
Video 
Video  for Section 7.4:
Permutations and combinations
Case study:  Designing a puzzle
 
Chapter 7 resources
Chapter summary | Chapter true/false quiz | Chapter review exercises

Chapter 8 Probability
8.1 Sample spaces and events8.1 Tutorial | Game tutorial |
Video 
Video  for Section 8.1:
Sample spaces and events
8.2 Relative frequency8.2 Tutorial | Game tutorial |
Video 
Video  for Section 8.2:
Relative frequency
8.3 Probability and probability models8.3 Tutorial | Game tutorial |
8.4 Probability and counting techniques
8.5 Conditional probability and independence8.5 Tutorial | Game tutorial |
8.6 Bayes' Theorem and Applications8.6 Tutorial | Game tutorial |
8.7 Markov systems
Video 
Video  for Section 8.7:
Markov systems
Case study:  The Monty Hall problemOnline Monty Hall simulation
 
Chapter 8 resources
Chapter summary | Chapter true/false quiz | Chapter review exercises
 
Chapter 8 tools
Markov system simulation | Matrix algebra tool | Markov system computation utility

Chapter 9 Random variables and statistics
9.1 Random variables and distributions9.1 Tutorial |
9.2 Bernoulli trials and binomial random variables9.2 Tutorial |
9.3 Measures of central tendency9.3 Tutorial
9.4 Measures of dispersion9.4 Tutorial
9.5 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 9 resources
Chapter summary | Chapter true/false quiz | Chapter review exercises
 
Chapter 9 tools
Histogram utility | Binomial distribution utility | Normal distribution utility | Normal distribution table

Chapter 10 Introduction to the derivative
10.1 Limits: numerical and graphical viewpoints10.1 Tutorial | Game tutorial | |
10.2 Limits and continuity10.2 Tutorial | Game tutorial |
Video 
Video  for Section 10.2:
Limits and continnutiy
|
10.3 Limits and continuity: algebraic viewpoint10.3 Tutorial | Game tutorial | |
10.4 Average rate of change10.4 Tutorial | Game tutorial |
Video 
Video  for Section 10.4:
Average rates of change
|
10.5 The derivative: numerical and graphical viewpoints10.5 Tutorial | Game tutorial | |
10.6 The derivative: algebraic viewpoint10.6 Tutorial | Game tutorial | |
Online: Sketching the graph of the derivative
Online: Continuity and differentiability
Case study:  Reducing sulfur emissions
 
Chapter 10 resources
Chapter summary | Chapter true/false quiz | Chapter review exercises | Chapter Excel tutorials
 
Chapter 10 tools
Function evaluator and grapher | Excel grapher | Excel first and second derivative graphing utility

Chapter 11 Techniques of differentiation
11.1 Derivatives of powers, sums, and constant multiples11.1 Tutorial | Game tutorial | |
11.2 A first application: Marginal analysis11.2 Tutorial | Game tutorial |
Video 
Video  for Section 11.2:
Marginal analysiss
|
11.3 The product and quotient rules11.3 Tutorial | Game tutorial | |
Practice/visualize
Practice/visualize for Section 11.3:
Practice product and quotient rule
11.4 The chain rule11.4 Tutorial | Game tutorial | |
Practice/visualize
Practice/visualize for Section 11.4:
Derivatives using the chain rule
11.5 Derivatives of logarithmic and exponential functions11.5 Tutorial | Game tutorial | |
11.6 Implicit differentiation
Online: Linear approximation and error estimation
Online: Proof of the power rule
Online: Proof of the quotient rule
Online: Proof of the chain rule
Case study:  Projecting market growth
 
Chapter 11 resources
Chapter summary | Chapter true/false quiz | Chapter review exercises | Additional exercises for derivatives of powers, sums, and constant multiples | Additional exercises for the product and quotient rules
 
Chapter 11 tools
Function evaluator and grapher | Excel grapher | Excel first and second derivative graphing utility

Chapter 12 Further applications of the derivative
12.1 Maxima and minima12.1 Tutorial | Game tutorial |
Video 
Video  for Section 12.1:
Maxima and minima
12.2 Applications of maxima and minima12.2 Tutorial | Game tutorial | |
Practice/visualize
Practice/visualize for Section 12.2:
Applied optimization
12.3 Higher order derivatives: Acceleration and concavity12.3 Tutorial | Game tutorial |
12.4 Analyzing graphs12.4 Tutorial |
Video 
Video  for Section 12.4:
Analyzing graphs
12.5 Related rates12.5 Tutorial | Game tutorial |
Video 
Video  for Section 12.5:
Related rates
|
Practice/visualize
Practice/visualize for Section 12.5:
Related rates
12.6 Elasticity 12.6 Tutorial | Game tutorial |
Video 
Video  for Section 12.6:
Elasticity
Case study:  Production lot size management
 
Chapter 12 resources
Chapter summary | Chapter true/false quiz | Chapter review exercises | Chapter Excel tutorials
 
Chapter 12 tools
Function evaluator and grapher | Excel grapher | Excel first and second derivative graphing utility

Chapter 13 The integral
13.1 The indefinite integral13.1 Tutorial | Game tutorial |
13.2 Substitution13.2 Tutorial | Game tutorial |
13.3 The definite integral: Numerical and graphical viewpoints13.3 Tutorial | Game tutorial |
13.4 The definite integral: Algebraic viewpoint and the fundamental theorem of calculus13.4 Tutorial | Game tutorial |
Online: Numerical integration
Case study:  Spending on housing construction
 
Chapter 13 resources
Chapter summary | Chapter true/false quiz | Chapter review exercises | Chapter Excel tutorials
 
Chapter 13 tools
Numerical integration utility and grapher | Graphing calculator programs for numerical integration (TI-82/83/84/85/86) | Excel Riemann sum grapher

Chapter 14 Further integration techniques and applications of the integral
14.1 Integration by parts14.1 Tutorial | Game tutorial |
14.2 Area between two curves and applications14.2 Tutorial | Game tutorial |
14.3 Averages and moving averages
14.4 Applications to business and economics: Consumers' and producers' surplus and continuous income streams
14.5 Improper integrals and applications
14.6 Differential equations and applications
Online: Linear differential equations
Case study:  Estimating tax revenues
 
Chapter 14 resources
Chapter summary | Chapter true/false quiz | Chapter review exercises | Chapter Excel tutorials
 
Chapter 14 tools
Numerical integration utility and grapher | Graphing calculator programs for numerical integration (TI-82/83/84/85/86) | Excel Riemann sum grapher

Chapter 15 Functions of several variables
15.1 Functions of several variables from the numerical, algebraic, and graphical viewpoints
15.2 Partial derivatives
Video 
Video  for Section 15.2:
Partial derivatives
15.3 Maxima and minima
15.4 Constrained maxima and minima and applications
15.5 Double integrals and applications
Online: Chain rule for functions of several variables (pdf only)
Online: Extreme Values: Boundaries and the Extreme Value Theorem (pdf only)
Case study:  Modeling college population
 
Chapter 15 resources
Chapter summary | Chapter true/false quiz
 
Chapter 15 tools
Surface graphing utility | Excel surface graphing utility | Multiple regression utility

Chapter 16 Trigonometric models
16.1 Trigonometric functions, models, and regression
16.2 Derivatives of trigonometric functions and applications
16.3 Integrals of trigonometric functions and applications
Online: Proofs of some trigonometric limits
Online: New functions from old: Scaled and shifted functions
Case study:  Predicting airline empty seat volumeDownload data
 
Chapter 16 resources
Chapter summary | Chapter true/false quiz | Chapter Excel tutorials | Online version of this chapter
 
Chapter 16 tools
Function evaluator and grapher | Excel grapher

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

Chapter S: Sequences, series, and Taylor series
Text and exercises online
S.1 Taylor polynomials
S.2 Infinite sequences
S.3 Infinite series
Practice/visualize
Practice/visualize for Section S.3:
Telescoping series
S.4 Taylor series
S.5 Applications of Taylor series
Chapter S Case study:  Predicting sales

Chapter P: Calculus applied to probability and statistics
Text and exercises online; a complete text version of this chapter can be downloaded here.
P.1 Continuous random variables and histograms
P.2 Probability density functions: Uniform, exponential, normal, and beta
P.3 Mean, median, variance and standard deviation
Chapter P Case study:  Creating a family trust