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Finite mathematics & Applied calculus
Waner & Costenoble (7e): Generate learning activities

To generate a list of learning activities on this website, first select your book, then the specific sections you plan to cover and choose learning activities and online tools (such as graphers and linear programming utilities) to include. When done, click on "Top of page" if necessary and press "Generate Learning Activities."


Book: Finite Mathematics      Applied Calculus      Finite Mathematics and Applied Calculus


Chapter 0 Precalculus review
Select all sections
0.1 Real numbers
0.2 Exponents and radicals
0.3 Multiplying and factoring algebraic equations
0.4 Rational expressions
0.5 Solving polynomial equations
0.6 Solving miscellaneous equations
0.7 The coordinate plane
0.8 Logarithms

Chapter 1 Functions and applications
Select all sections
1.1 Functions from the numerical, algebraic, and graphical viewpoints
1.2 Functions and models
1.3 Linear functions and models
1.4 Linear regression
Online: New functions from old: Scaled and shifted functions
Online: Fitting curves to data: Linear and exponential regression
 
Chapter 1 review
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
Select all sections
2.1 Quadratic functions and models
2.2 Exponential functions and models
2.3 Logarithmic functions and models
2.4 Logistic functions and models
Online: Inverse functions
Online: Fitting curves to data: linear and exponential regression
Online: Using and Deriving Algebraic Properties of Logarithms
 
Chapter 2 review
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
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3.1 Simple interest
3.2 Compound interest
3.3 Annuities, loans, and bonds
 
Chapter 3 review
Chapter summary
Chapter true/false quiz
Chapter review exercises
Chapter Excel tutorials
 
Chapter 3 tools
Time value of money utility

Chapter 4 Systems of linear equations and matrices
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4.1 Systems of two linear equations in two unknowns
4.2 Using matrices to solve systems of equations
4.3 Applications of systems of linear equations
 
Chapter 4 review
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
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5.1 Matrix addition and scalar multiplication
5.2 Matrix multiplication
5.3 Matrix inversion
5.4 Game theory
5.5 Input-output models
Online: Determinants and Cramer's Rule (pdf only)
 
Chapter 5 review
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
Select all sections
6.1 Graphing linear inequalities
6.2 Solving linear programming problems graphically
6.3 The simplex method: Solving standard maximization problems
6.4 The simplex method: Solving general linear programming problems
6.5 The simplex method and duality
 
Chapter 6 review
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
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7.1 Set operations
7.2 Cardinality
7.3 Decision algorithms: The addition and multiplication principles
7.4 Permutations and combinations
 
Chapter 7 review
Chapter summary
Chapter true/false quiz
Chapter review exercises

Chapter 8 Probability
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8.1 Sample spaces and events
8.2 Relative frequency
8.3 Probability and probability models
8.4 Probability and counting techniques
8.5 Conditional probability and independence
8.6 Bayes' Theorem and Applications
8.7 Markov systems
 
Chapter 8 review
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
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9.1 Random variables and distributions
9.2 Bernoulli trials and binomial random variables
9.3 Measures of central tendency
9.4 Measures of dispersion
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
 
Chapter 9 review
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
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10.1 Limits: numerical and graphical viewpoints
10.2 Limits and continuity
10.3 Limits and continuity: algebraic viewpoint
10.4 Average rate of change
10.5 The derivative: numerical and graphical viewpoints
10.6 The derivative: algebraic viewpoint
Online: Sketching the graph of the derivative
Online: Continuity and differentiability
 
Chapter 10 review
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
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11.1 Derivatives of powers, sums, and constant multiples
11.2 A first application: Marginal analysis
11.3 The product and quotient rules
11.4 The chain rule
11.5 Derivatives of logarithmic and exponential functions
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
 
Chapter 11 review
Chapter summary
Chapter true/false quiz
Chapter review exercises
 
Chapter 11 tools
Function evaluator and grapher
Excel grapher
Excel first and second derivative graphing utility

Chapter 12 Further applications of the derivative
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12.1 Maxima and minima
12.2 Applications of maxima and minima
12.3 Higher order derivatives: Acceleration and concavity
12.4 Analyzing graphs
12.5 Related rates
12.6 Elasticity
 
Chapter 12 review
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
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13.1 The indefinite integral
13.2 Substitution
13.3 The definite integral: Numerical and graphical viewpoints
13.4 The definite integral: Algebraic viewpoint and the fundamental theorem of calculus
Online: Numerical integration
 
Chapter 13 review
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
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14.1 Integration by parts
14.2 Area between two curves and applications
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
 
Chapter 14 review
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
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15.1 Functions of several variables from the numerical, algebraic, and graphical viewpoints
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)
 
Chapter 15 review
Chapter summary
Chapter true/false quiz
 
Chapter 15 tools
Surface graphing utility
Excel surface graphing utility
Multiple regression utility

Chapter 16 Trigonometric models
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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
 
Chapter 16 review
Chapter summary
Chapter true/false quiz
Chapter Excel tutorials
 
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.
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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
Select all sections
S.1 Taylor polynomials;
S.2 Infinite sequences;
S.3 Infinite 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.
Select all sections
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