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Following the table of contents in Finite Mathematics and Applied Calculus 8e
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.
 

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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
0.3 Using exponent identities		0.3 Tutorial | Adaptive game tutorial | Practice/visualize Practice/visualize for Section 0.3: 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
0.4 Multiplying and factoring algebraic expressions		0.4 Tutorial | Adaptive game tutorial | Practice/visualize Practice/visualize for Section 0.4: 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
0.5 Rational expressions		0.5 Tutorial | Adaptive game tutorial
0.6 Solving polynomial equations		0.6 Tutorial | Adaptive game tutorial
0.7 Solving miscellaneous equations		0.7 Tutorial | Adaptive game tutorial
0.8 The coordinate plane
0.9 Logarithms		0.9 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 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 for this section | Adaptive game tutorial
Online: Fitting curves to data: Linear and exponential regression
Case study:  Modeling YouTube viewership
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 models		2.1 Tutorial | Game tutorial | Practice/visualize Practice/visualize for Section 2.1: Quadratic function Features and graph of a quadratic function Calculating revenue and profit from demand and cost | Videos Videos for Section 2.1: Part A: Quadratic functions Part B: Quadratic models
2.2 Exponential functions and models		2.2 Tutorial | Adaptive game tutorial | Practice/visualize Practice/visualize for Section 2.2: Exponent identities: Products, quotients and powers with a fixed base Exponent identities for Powers of products and quotients (different bases) Exponential function Tabulating an exponential function and identifying its graph Distinguishing between exponential and linear data and giving the equations Identifying exponential and linear data Finding the exponential curve y = Abx through two points Finding an exponential model Abt Finding an exponential model Abt (Epidemics) Compound interest Radioactive decay using Abt | Videos Videos for Section 2.2: Part A: Exponential functions Part B: Exponential models
2.3 The number e and exponential growth and decay		2.3 Tutorial | Adaptive game tutorial | Practice/visualize Practice/visualize for Section 2.3: Exponential function using e Continuous compounding: Future value Continuous compounding: How long to invest Exponential growth (epidemics) Exponential growth (dirty socks) Exponential decay (radioactive decay) | Videos Videos for Section 2.3: Part A: The Number e and compound interest Part B: Exponential growth and decay
2.4 Logistic and logarithmic functions and models		2.4 Tutorial | Adaptive game tutorial | Practice/visualize Practice/visualize for Section 2.4: Logistic function: Basics Logistic model: Epidemics Exponential and logarithmic forms Using logarithm rules Graph of a logarithmic function Finding and comparing earthquake magnitudes | Video  Video  for Section 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
Case study:  Projecting market growth
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 interest		3.1 Tutorial | Game tutorial | Practice/visualize Practice/visualize for Section 3.1: 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
3.2 Compound interest		3.2 Tutorial | Game tutorial | Practice/visualize Practice/visualize for Section 3.2: 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
3.3 Annuities, loans, and bonds		3.3 Tutorial | Game tutorial | Practice/visualize Practice/visualize for Section 3.3: 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 3 resources
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
4.1 Systems of two linear equations in two unknowns		4.1 Tutorial | Game tutorial | Practice/visualize Practice/visualize for Section 4.1: 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 linear system in two unknowns by elimination: unique solution Solving a system of two linear equations in two unknowns graphically Straightforward application of two linear equations in two unknowns Less straightforward application of two linear equations in two unknowns | Videos Videos for Section 4.1: Linear equations in two unknowns: Basics Applications of linear equations in two unknowns
4.2 Using matrices to solve systems of equations		4.2 Tutorial | Game tutorial | Practice/visualize Practice/visualize for Section 4.2: Setting up the augmented matrix of a linear system Doing elementary row operations 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 | Videos Videos for Section 4.2: 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
4.3 Applications of systems of linear equations		4.3 Tutorial | Game tutorial | Practice/visualize Practice/visualize for Section 4.3: Solving a blending problem Solving a traffic-flow problem | Videos Videos for Section 4.3: 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 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 multiplication		5.1 Tutorial | Game tutorial | Practice/visualize Practice/visualize for Section 5.1: Matrix elements Matrix addition and subtraction Calculating change in sales using matrix subtraction Matrix transposition | Video  Video  for Section 5.1: Matrix addition and scalar multiplication
5.2 Matrix multiplication		5.2 Tutorial | Game tutorial | Practice/visualize Practice/visualize for Section 5.2: 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 5.2: Matrix multiplication
5.3 Matrix inversion		5.3 Tutorial | Game tutorial | Practice/visualize Practice/visualize for Section 5.3: Finding a matrix inverse Determinant and inverse of a 2 × 2 matrix Solving systems of equations with matrix inverses | Video  Video  for Section 5.3: Matrix inversion
5.4 Game theory		5.4 Tutorial | Game tutorial | Practice/visualize Practice/visualize for Section 5.4: Expected payoff of a game Optimal counterstrategy Strictly determined game | Videos Videos for Section 5.4: Part A: Zero-sum games and mixed strategies Part B: Fundamental principle, reduction by dominance, and saddle points Part C: Solving 2×2 games
5.5 Input-output models		5.5 Tutorial | Practice/visualize Practice/visualize for Section 5.5: Input-output model
Online: Determinants and Cramer's Rule (pdf only)
Case study:  Social network analysis
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 inequalities		6.1 Tutorial | Game tutorial | Practice/visualize Practice/visualize for Section 6.1: Graphing single inequalities Graphing two simultaneous inequalities Finding corner points of the solution set | Video  Video  for Section 6.1: Graphing linear inequalities
6.2 Solving linear programming problems graphically		6.2 Tutorial | Game tutorial | Practice/visualize Practice/visualize for Section 6.2: 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 6.2: Solving linear programming problems graphically
6.3 The simplex method: Solving standard maximization problems		6.3 Tutorial | Adaptive game tutorial | Practice/visualize Practice/visualize for Section 6.3: 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 6.3: Part A: Introducing the simplex method Part B: Simplex method: Start to finish
6.4 The simplex method: Solving general linear programming problems		6.4 Tutorial | Adaptive game tutorial | Practice/visualize Practice/visualize for Section 6.4: 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 6.4: The simplex method: General LP problems
6.5 The simplex method and duality
Case study:  The diet problem		Diet 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 | 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 7 Sets and counting
7.1 Set operations		7.1 Tutorial | Adaptive game tutorial | Practice/visualize Practice/visualize for Section 7.1: 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 7.1: Part A: Basics, unions, intersections Part B: Complements and completing Venn Diagrams Part C: Cartesian products and sets of outcomes
7.2 Cardinality		7.2 Tutorial | Adaptive game tutorial | Practice/visualize Practice/visualize for Section 7.2: 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 7.2: Cardinality
7.3 Decision algorithms: The addition and multiplication principles		7.3 Tutorial | Adaptive game tutorial | Practice/visualize Practice/visualize for Section 7.3: 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 7.3: Addition and multiplication principles
7.4 Permutations and combinations		7.4 Tutorial | Adaptive game tutorial | Practice/visualize Practice/visualize for Section 7.4: Warmup application exercise for permutations Applying factorials in permuttions of objects Applying permutations Applying permutations 2 | 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 events		8.1 Tutorial | Game tutorial | Video  Video  for Section 8.1: Sample spaces and events
8.2 Relative frequency		8.2 Tutorial | Game tutorial | Video  Video  for Section 8.2: Relative frequency
8.3 Probability and probability models		8.3 Tutorial | Game tutorial | Videos Videos for Section 8.3: Probability models Part A Probability models Part B
8.4 Probability and counting techniques
8.5 Conditional probability and independence		8.5 Tutorial | Game tutorial | Videos Videos for Section 8.5: Conditional probability Part A Conditional probability Part B
8.6 Bayes' Theorem and Applications		8.6 Tutorial | Game tutorial | Video  Video  for Section 8.6: Bayes' theorem and applications
8.7 Markov systems		Video  Video  for Section 8.7: Markov systems
Case study:  The Monty Hall problem		Online 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 distributions		9.1 Tutorial | Game tutorial | Video  Video  for Section 9.1: Random variables and distributions
9.2 Bernoulli trials and binomial random variables		9.2 Tutorial | Adaptive game tutorial | Practice/visualize Practice/visualize for Section 9.2: 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 9.2: Bernoulli trials and binomial random variables
9.3 Measures of central tendency		9.3 Tutorial
9.4 Measures of dispersion		9.4 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 viewpoints		10.1 Tutorial | Game tutorial | Practice/visualize Practice/visualize for Section 10.1: Calculating a limit intuitively Values of a (rational) function closer and closer to a fixed number Values of a (non-rational) function closer and closer to a fixed number Estimating a limit numerically Left and right limits numerically Left and right limits intuitively (piecewise defined function) Limits at infinity numerically Estimating limits graphically Applying and interpreting limits | Videos Videos for Section 10.1: Limits: Numerical viewpoint Limits: Graphical viewpoint
10.2 Limits: algebraic viewpoint		10.2 Tutorial | Adaptive game tutorial | Practice/visualize Practice/visualize for Section 10.2: Limit of a closed form function Limit of a closed form function and its domain Limit by simplification Calculating a limit algebraically Visualizing singularities The determinate form k/0 Miscellaneous algebraic limits at real numbers (rational quadratic functions) Calculating a limit at infinity of a ratio of polynomials algebraically Calculating a limit at infinity of a ratio involving an exponential function algebraically Calculating a limit at infinity of a rational function algebraically Finding limits at infinity of polynomial functions by disregarding lower powers Limits at infinity involving polynomials by disregarding lower powers | Videos Videos for Section 10.2: A: Calculating limits algebraically B: Calculating limits at infinity
10.3 Limits and continuity		10.3 Tutorial | Adaptive game tutorial | Practice/visualize Practice/visualize for Section 10.3: Continuity and discontinuities graphically Continuity, discontinuities, and singular points graphically Deciding where a closed-form function is continuous Continuity of a piecewise-defined function Removable and essential singularities Visualizing removable and essential singularities | Video  Video  for Section 10.3: Limits and continuity
10.4 Average rate of change		10.4 Tutorial | Adaptive game tutorial | Practice/visualize Practice/visualize for Section 10.4: Calculating average rates of change from a table Visualizing average rates of change Estimating average rates of change from a graph Calculating average rates of change from a formula Calculating average rates of change from a formula: Application | Video  Video  for Section 10.4: Average rates of change
10.5 The derivative: numerical and graphical viewpoints		10.5 Tutorial | Game tutorial | Practice/visualize Practice/visualize for Section 10.5: Introduction to the concept of the derivative Estimating the derivative numerically Visualize the derivative graphically Estimating the derivative graphically Zooming in on a curve Visualize approximations of the derivatives Approximating the derivative Approximating instantaneous velocity Visualize the derivative at different values of x Graph of the derivative | Videos Videos for Section 10.5: Part A: The derivative: numerical approach Part B: The derivative: geometric approach
10.6 The derivative: algebraic viewpoint		10.6 Tutorial | Adaptive game tutorial | Practice/visualize Practice/visualize for Section 10.6: Calculating the derivative at a point algebraically Visualize the derivative function evaluated at different values of x Calculating the derivative function algebraically (quadratic) Calculating the derivative function algebraically (more functions) | Video  Video  for Section 10.6: The derivative: algebraic approach
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 multiples		11.1 Tutorial | Adaptive game tutorial | Practice/visualize Practice/visualize for Section 11.1: Derivatives of powers of x Derivatives involving powers of x in the denominator Derivatives of sums and constant multiples | Video  Video  for Section 11.1: Derivatives of powers, sums, and constant multiples
11.2 A first application: Marginal analysis		11.2 Tutorial | Game tutorial | Practice/visualize Practice/visualize for Section 11.2: Calculating marginal cost Calculating marginal revenue and profit Visualize average and marginal cost | Video  Video  for Section 11.2: Marginal analysiss
11.3 The product and quotient rules		11.3 Tutorial | Adaptive game tutorial | Practice/visualize Practice/visualize for Section 11.3: Product rule (linear and quadratic functions) Product rule (general functions) Quotient rule (linear and quadratic functions) Quotient rule (general functions) Calculation thought experiment (CTE): identifying sums, differences, products, quotients, powers Combining the sum, product and quotient rules | Videos Videos for Section 11.3: The product and quotient rules Prof X Squared's video
11.4 The chain rule		11.4 Tutorial | Adaptive game tutorial | Practice/visualize Practice/visualize for Section 11.4: Chain rule for powers Chain rule: more advanced Chain rule: differential notation Applying the chain rule: differential notation Manipulating the chain rule: differential notation | Videos Videos for Section 11.4: The chain rule Prof X Squared's video Part A Prof X Squared's video Part B
11.5 Derivatives of logarithmic and exponential functions		11.5 Tutorial | Adaptive game tutorial | Practice/visualize Practice/visualize for Section 11.5: Derivatives of log(x) with different bases Derivatives of logarithms of polynomials Derivatives of functions involving logs with different bases Derivative of b^x and polynomial times b^x Derivatives of exponentials of polynomials Derivatives of functions involving exponenials | Video  Video  for Section 11.5: Derivatives of logarithmic and exponential functions
11.6 Implicit differentiation		Practice/visualize Practice/visualize for Section 11.6: Implicit differentiation Logarithmic 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:  Tracking the covid-19 epidemic in the U.S.		COVID-19 data (Excel)
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 minima		12.1 Tutorial | Adaptive game tutorial | Practice/visualize Practice/visualize for Section 12.1: Visualizing relative extrema Identifying relative and absolute extrema from a graph Locating stationary points: cubic functions Locating singular points of the deivative Locating maxima and minima: cubic functions Locating maxima and minima: first derivative test Locating maxima and minima: functions with singular points Locating maxima and minima: extreme value theorem | Video  Video  for Section 12.1: Maxima and minima
12.2 Applications of maxima and minima		12.2 Tutorial | Game tutorial | Practice/visualize Practice/visualize for Section 12.2: Minimizing average cost subject to an inequality constraint Maximizing area subject to a cost constraint Maximizing revenue given demand equation | Video  Video  for Section 12.2: Applications of maxima and minima
12.3 Higher order derivatives: Acceleration and concavity		12.3 Tutorial | Game tutorial | Practice/visualize Practice/visualize for Section 12.3: Computing the second derivative of a simple function Computing the velocity and acceleration from the displacement Acceleration due to gravity Acceleration of sales Points of inflection and concavity graphically Calculating the inflation rate Second derivative test for a cubic | Video  Video  for Section 12.3: Higher order derivatives: Acceleration and concavity
12.4 Analyzing graphs		12.4 Tutorial | Adaptive game tutorial | Practice/visualize Practice/visualize for Section 12.4: Sketching the graph of a function by identifying important features Analyzing a graph generated using technology Identifying imortant features of the graph of f using the graphs of f' and f'' | Video  Video  for Section 12.4: Analyzing graphs
12.5 Related rates		12.5 Tutorial | Game tutorial | Practice/visualize Practice/visualize for Section 12.5: Related rates: Distinguishing between Q and dQ/dt Related rates: The rising rocket | Video  Video  for Section 12.5: Related rates
12.6 Elasticity		12.6 Tutorial | Game tutorial | Practice/visualize Practice/visualize for Section 12.6: Calculating elasticity (linear demand equation) Calculating and interpreting elasticity (quadratic demand equation) | 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 integral		13.1 Tutorial | Game tutorial | Practice/visualize Practice/visualize for Section 13.1: Meaning of antiderivative Guessing simple indefinite integrals using the definition Checking an antiderivative Power rule for integrals Sum and constant multiple rules for integrals Calculating the total cost from the marginal cost Total change from rate of change Velocity and change in velocity from acceleration Velocity and position of a vertically moving object under gravity | Videos Videos for Section 13.1: The indefinite integral The indefinite integral: Applications
13.2 Substitution		13.2 Tutorial | Game tutorial | Practice/visualize Practice/visualize for Section 13.2: Substitution: Power of x times a power of polynomial Substitution: Power of x times b raised to a polynomial Substitution: When x does not cancel Shortcut rule: Integrals of expressions involving (ax+b) | Videos Videos for Section 13.2: Substitution: Part A Substitution Part B: Shortcuts
13.3 The definite integral: Numerical and graphical viewpoints		13.3 Tutorial | Game tutorial | Practice/visualize Practice/visualize for Section 13.3: Calculating a left Riemann sum from a formula Calculating Riemann sums from a graph Calculating a definite Integral using geometry | Video  Video  for Section 13.3: The definite integral: Numerical and graphical viewpoints
13.4 The definite integral: Algebraic viewpoint and the fundamental theorem of calculus		13.4 Tutorial | Game tutorial | Practice/visualize Practice/visualize for Section 13.4: Evaluating definite integrals using different antiderivatives of a monomial Evaluating definite integrals of simple functions Substitution in definite integral: Power of x times b raised to a polynomial Using a definite integral to calculate total change from rate of change | Video  Video  for Section 13.4: The definite integral: Fundamental theorem of calculus<
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 parts		14.1 Tutorial | Game tutorial | Practice/visualize Practice/visualize for Section 14.1: Using integration by parts | Videos Videos for Section 14.1: Prof X Squared's video Part A Prof X Squared's video Part B
14.2 Area between two curves		14.2 Tutorial | Game tutorial | Practice/visualize Practice/visualize for Section 14.2: Calculating the area between two curves (no intersection) Area between crossing curves
14.3 Averages and moving averages		Practice/visualize Practice/visualize for Section 14.3: Calculating the average value of a function Calculating the moving average of a function
14.4 Applications to business and economics: Consumers' and producers' surplus and continuous income streams		Practice/visualize Practice/visualize for Section 14.4: Calculating the consumer surplus Calculating the producer surplus
14.5 Improper integrals and applications
14.6 Differential equations and applications		Practice/visualize Practice/visualize for Section 14.6: First order linear differential equation
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		15.1 Tutorial | Adaptive game tutorial | Practice/visualize Practice/visualize for Section 15.1: Evaluating functions of two variables Evaluating functions of three variables Deciding on the domain of a function of two variables Evaluating and working with a function of two variables specified by a table Finding the coordinates of points in 3D Reading graphs of functions of two variables | Videos Videos for Section 15.1: Functions of several variables Using a spreadhseet
15.2 Partial derivatives		Video  Video  for Section 15.2: Partial derivatives
15.3 Maxima and minima		Videos Videos for Section 15.3: Maxima and minima: Part A Maxima and minima: Part B Maxima and minima: Applications
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		16.1 Tutorial | Adaptive game tutorial
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 volume		Empty seat miles data (Excel)
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