Finite Mathematics and Applied Calculus: Generate learning Activities

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 Tutorial Adaptive game version Practice/visualize: Identifying types of real numbers from their decimal expansions Practice/visualize: Deciding on the order in which to do operations on real numbers Practice/visualize: Calculating the value of mathematical expressions using the standard order of operations Practice/visualize: Reading a technology formula Practice/visualize: Entering a technology formula Practice/visualize: Determining whether a real number is an element of a given interval
0.2 Exponents and radicals Tutorial Part A: Integer exponents Adaptive game version Tutorial Part B: Radicals and rational exponents Adaptive game version Tutorial Part C: Radical, positive exponent, and power form Adaptive game version Practice/visualize: Positive exponents: meaning and calculations Practice/visualize: Negative exponents: meaning and calculations Practice/visualize: Exponent identities for products, quotients and powers with a fixed base Practice/visualize: Exponent identities for powers of products and quotients Practice/visualize: Combining the exponential identities Practice/visualize: Converting to power form and positive exponent form Practice/visualize: Calculating numbers raised to fractional powers Practice/visualize: Converting between radicals and exponents Practice/visualize: Converting numbers and expressions to simplest radical form Practice/visualize: Converting between positive exponent, power, and simplest radical forms (one variable) Practice/visualize: Compound expressions in positive exponent, power, and simplest radical forms
0.3 Multiplying and factoring algebraic expressions Tutorial Part A: Multiplying algebraic expressions Adaptive game version Tutorial Part B: Factoring algebraic expressions: Taking out common factors Adaptive game version Tutorial Part C: Factoring quadratics Adaptive game version Practice/visualize: Applying the distributive law: distributing a single term Practice/visualize: Applying the distributive law: distributing multiple terms Practice/visualize: Using FOIL to multiply binomials Practice/visualize: Expanding differences of squares and squares of sums and differences
0.4 Rational expressions Tutorial Adaptive game version
0.5 Solving polynomial equations Tutorial Part A: Solving linear and quadratic equations Adaptive game version Tutorial Part B: Solving cubic and higher order polynomial equations Adaptive game version
0.6 Solving miscellaneous equations Tutorial Adaptive game version
0.7 The coordinate plane There are as yet no activities for this section on the site.
0.8 Logarithms Tutorial Adaptive game version

Chapter 1 Functions and applications Select all sections
1.1 Functions from the numerical, algebraic, and graphical viewpoints Tutorial Adaptive game version Video Practice/visualize: Evaluating a function specified numerically Practice/visualize: Evaluating a function specified algebraically Practice/visualize: Graphing a function specified algebraically Practice/visualize: Evaluating a function specified graphically Practice/visualize: Piecewise-defined function Practice/visualize: Piecewise-defined function: Three pieces Practice/visualize: Matching functions to graphs Practice/visualize: Visualizing functions: A compendium of basic functions
1.2 Functions and models Tutorial Adaptive game version Tutorial Adaptive game version Video Part A: Cost, revenue, and profit models Video Part B: Demand, supply and time-change models Practice/visualize: Constructing a linear model given m and b directly Practice/visualize: Cost, revenue, and profit Practice/visualize: Demand function Practice/visualize: Equilibrium price graphically Practice/visualize: Equilibrium price analytically Practice/visualize: Time-change models Practice/visualize: Compound interest future value: function form Practice/visualize: Radioactive decay
1.3 Linear functions and models Tutorial Adaptive game version Tutorial Adaptive game version Tutorial Adaptive game version Video Part A: Basics: Slope and intercept Video Part B: Finding the equation of a line Video Part C: Applications: Linear models Practice/visualize: Graphing a linear function by simply plotting points Practice/visualize: Understanding slope and intercept and hence graphing a linear function Practice/visualize: Finding the slope of a line through two points Practice/visualize: Finding the equation of a line Practice/visualize: Finding a linear cost equation Practice/visualize: Finding a linear demand equation Practice/visualize: Modeling linear change over time Practice/visualize: Temperature conversion
1.4 Linear regression Tutorial Part A: Sum of squares error (SSE) Game version Tutorial Part B: The regression line Game version Video Part A: Sum of Squares Error Video Part B: The regression line Practice/visualize: Calculating predicted values for a linear model Practice/visualize: Calculating residuals for a linear model Practice/visualize: Calculating the sum of squares error Practice/visualize: Calculating the regression line
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 Tutorial Game version Video Part A: Quadratic functions Video Part B: Quadratic models Practice/visualize: Quadratic function Practice/visualize: Features and graph of a quadratic function Practice/visualize: Calculating revenue and profit from demand and cost
2.2 Exponential functions and models Tutorial Adaptive game version Tutorial Adaptive game version Video Practice/visualize: Exponent identities: Products, quotients and powers with a fixed base Practice/visualize: Exponent identities for Powers of products and quotients (different bases) Practice/visualize: Exponential function Practice/visualize: Tabulating an exponential function and identifying its graph Practice/visualize: Distinguishing between exponential and linear data and giving the equations Practice/visualize: Identifying exponential and linear data Practice/visualize: Finding the exponential curve y = Ab^x through two points Practice/visualize: Finding an exponential model Ab^t Practice/visualize: Finding an exponential model Ab^t (Epidemics) Practice/visualize: Compound interest Practice/visualize: Radioactive decay using Ab^t Practice/visualize: Exponential function using e Practice/visualize: Continuous compounding: Future value Practice/visualize: Continuous compounding: How long to invest Practice/visualize: Exponential growth (epidemics) Practice/visualize: Exponential growth (dirty socks) Practice/visualize: Exponential decay (radioactive decay)
2.3 Logarithmic functions and models Video Practice/visualize: Exponential and logarithmic forms Practice/visualize: Using logarithm rules Practice/visualize: Graph of a logarithmic function Practice/visualize: Finding and comparing earthquake magnitudes
2.4 Logistic functions and models Tutorial Game version Tutorial Game version Video Practice/visualize: Logistic function: Basics Practice/visualize: Logistic model: Epidemics
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 Select all sections
3.1 Simple interest Tutorial Game version Practice/visualize: Calculating simple interest Practice/visualize: Calculating future value under simple interest Practice/visualize: Calculating the future value of an investment with simple interest Practice/visualize: Calculating present value under simple interest Practice/visualize: Calculating the present value of an investment with simple interest Practice/visualize: Calculating the effective interest rate of a loan fee
3.2 Compound interest Tutorial Game version Practice/visualize: Calculating future value under compound interest Practice/visualize: Calculating the future value of an investment under compound annual interest Practice/visualize: Calculating present value under compound interest Practice/visualize: Comparing prices using constant dollars Practice/visualize: Calculating the effective rate Practice/visualize: Calculating the time for an investment to grow to a target
3.3 Annuities, loans, and bonds Tutorial Game version Practice/visualize: Calculating the future value of an accumulating annuity Practice/visualize: Calculating the future value of an account with periodic deposits Practice/visualize: Calculating the payments needed to accumulate a desired value Practice/visualize: Calculating the payments needed to fund a retirement account Practice/visualize: Calculating the present value of an annuity account Practice/visualize: Funding a retirement plan Practice/visualize: Calculating the payments from an annuity Practice/visualize: Funding an education fund Practice/visualize: Car loans

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 Select all sections
4.1 Systems of two linear equations in two unknowns Tutorial Part A: Solving graphically Game version Tutorial Part B: Solving by elimination Game version Tutorial Part C: Applications Game version Video Part A: Solving graphically Video Part B: Solving by elimination Video Part C: Applications Practice/visualize: Identifying coefficients and solutions of linear equations in two unknowns Practice/visualize: Finding solutions of a linear equation Practice/visualize: Solving a system of two linear equations in two unknowns graphically: unique solution Practice/visualize: Solving a linear system in two unknowns by elimination: unique solution Practice/visualize: Solving a system of two linear equations in two unknowns graphically Practice/visualize: Straightforward application of two linear equations in two unknowns Practice/visualize: Less straightforward application of two linear equations in two unknowns
4.2 Using matrices to solve systems of equations Tutorial Part A: The matrix of a system and row operations Game version Tutorial Part B: Solving a system by Gauss-Jordan Game version Tutorial Part C: More Gauss-Jordan; inconsistent and underdetermined systems Game version Video Part A: The matrix of a system of linear equations Video Part B: Solving a system by Gauss-Jordan Video Part C: Inconsistent and underdetermined systems Video Using the onine Gauss-Jordan tool to reduce a matrix Practice/visualize: Setting up the augmented matrix of a linear system Practice/visualize: Doing elementary row operations Practice/visualize: Solving a system by Gauss-Jordan (unique solution) Practice/visualize: Solving a system by Gauss-Jordan (many solutions or no solution) Practice/visualize: Checking if a matrix is row-reduced
4.3 Applications of systems of linear equations Tutorial Part A: Setting up applications Game version Tutorial Part B: Traffic flow Game version Video Part A: Setting up applications Video Part B: Traffic flow Practice/visualize: Solving a blending problem Practice/visualize: Solving a traffic-flow problem

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 Select all sections
5.1 Matrix addition and scalar multiplication Tutorial Game version Video Practice/visualize: Matrix elements Practice/visualize: Matrix addition and subtraction Practice/visualize: Calculating change in sales using matrix subtraction Practice/visualize: Matrix transposition
5.2 Matrix multiplication Tutorial Game version Video Practice/visualize: Multiplication of a row times a column Practice/visualize: Calculating revenue using a row times a column Practice/visualize: Matrix multiplication Practice/visualize: Calculating revenue using matrix multiplication
5.3 Matrix inversion Tutorial Game version Video Practice/visualize: Finding a matrix inverse Practice/visualize: Determinant and inverse of a 2 × 2 matrix Practice/visualize: Solving systems of equations with matrix inverses
5.4 Game theory Tutorial Part A: Zero-sum games and mixed strategies Game version Tutorial Part B: Fundamental principle, reduction by dominance, and saddle points Game version Tutorial Part C: Solving 2×2 games Game version Video Part A: Zero-sum games and mixed strategies Video Part B: Fundamental principle, reduction by dominance, and saddle points Video Part C: Solving 2×2 games Practice/visualize: Expected payoff of a game Practice/visualize: Optimal counterstrategy Practice/visualize: Strictly determined game
5.5 Input-output models Tutorial Practice/visualize: Input-output model
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 Tutorial Game version Video Practice/visualize: Graphing single inequalities Practice/visualize: Graphing two simultaneous inequalities Practice/visualize: Finding corner points of the solution set
6.2 Solving linear programming problems graphically Tutorial Game version Video Practice/visualize: Solving a linear programming problem graphically Practice/visualize: Application of a linear programming problem in two unknowns with steps Practice/visualize: Application of a (less straightforward) linear programming problem in two unknowns
6.3 The simplex method: Solving standard maximization problems Tutorial Adaptive game version Tutorial Adaptive game version Video Part A: Introducing the simplex method Video Part B: Simplex method: Start to finish Practice/visualize: Recognizing when a LP problem can be rewritten as a standard LP problem Practice/visualize: Converting a standard maximization problem to equation form Practice/visualize: Reading the basic solution from a simplex tableau Practice/visualize: Choosing the pivot in a standard simplex tableau Practice/visualize: Pivoting in the simplex method (integral matrices) Practice/visualize: Simplex method (standard maximization problem)
6.4 The simplex method: Solving general linear programming problems Tutorial Adaptive game version Video Practice/visualize: Converting a nonstandard maximization problem to equation form Practice/visualize: Choosing a pivot in a simplex tableau during Phase 1 Practice/visualize: Simplex method (nonstandard maximization problem)
6.5 The simplex method and duality There are as yet no activities for this section on the site.

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
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 Select all sections
7.1 Set operations Tutorial Adaptive game version Tutorial Adaptive game version Video Part A: Basics, unions, intersections Video Part B: Complements and completing Venn Diagrams Video Part C: Cartesian products and sets of outcomes Practice/visualize: Determining whether an item is an element of a set Practice/visualize: Determining the relationship between two sets Practice/visualize: Finding the union of two sets Practice/visualize: Finding the intersection of two sets Practice/visualize: Finding the complement of a set Practice/visualize: Setting up a Venn diagram and applying unions, intersections, and complements Practice/visualize: Finding the Cartesian product of two sets Practice/visualize: Cartesian products applied to sets of outcomes in multi-step experiments
7.2 Cardinality Tutorial Adaptive game version Video Practice/visualize: Finding the cardinality of a finite set Practice/visualize: Cardinality of the union and intersection of two sets Practice/visualize: Cardinality: complements of unions and intersections Practice/visualize: Calculating the cardinality of a cartesian product: sets of outcomes in multi-step experiments
7.3 Decision algorithms: The addition and multiplication principles Tutorial Adaptive game version Video Practice/visualize: Decision algorithms: addition principle Practice/visualize: Decision algorithms: multiplication principle Practice/visualize: Decision algorithms: Combining the addition and multiplication principles Practice/visualize: Determining whether a decision algorithm is valid
7.4 Permutations and combinations Tutorial Adaptive game version Video Practice/visualize: Warmup application exercise for permutations Practice/visualize: Applying factorials in permuttions of objects Practice/visualize: Applying permutations Practice/visualize: Applying permutations 2

Chapter 7 review
Chapter summary
Chapter true/false quiz
Chapter review exercises

Chapter 8 Probability Select all sections
8.1 Sample spaces and events Tutorial Game version Video
8.2 Relative frequency Tutorial Game version Video
8.3 Probability and probability models Tutorial Part A: Basic concepts Game version Tutorial Part B: Probability of unions, intersections, and complements Game version Video Probability models Part A Video Probability models Part B
8.4 Probability and counting techniques There are as yet no activities for this section on the site.
8.5 Conditional probability and independence Tutorial Part A: Conditional probability Game version Tutorial Part B: Trees and conditional probability Game version Tutorial Part C: Independent events Game version Video Conditional probability Part A Video Conditional probability Part B
8.6 Bayes' Theorem and Applications Tutorial Game version Video
8.7 Markov systems Video

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 Select all sections
9.1 Random variables and distributions Tutorial Game version Video
9.2 Bernoulli trials and binomial random variables Tutorial Adaptive game version Video Practice/visualize: Identifying binomial random variables Practice/visualize: Binomial random variables: calculating the probability of a specific value Practice/visualize: Binomial random variables: calculating the probability distribution
9.3 Measures of central tendency Tutorial
9.4 Measures of dispersion Tutorial Part A: Variance and standard deviation of a set of scores Tutorial Part B: Variance and standard deviation of a random variable
9.5 Normal distributions There are as yet no activities for this section on the site.
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 Select all sections
10.1 Limits: numerical and graphical viewpoints Tutorial Part A: Numerical approach Game version Tutorial Part B: Graphical approach Game version Video Limits: Numerical viewpoint Video Limits: Graphical viewpoint Practice/visualize: Calculating a limit intuitively Practice/visualize: Values of a (rational) function closer and closer to a fixed number Practice/visualize: Values of a (non-rational) function closer and closer to a fixed number Practice/visualize: Estimating a limit numerically Practice/visualize: Left and right limits numerically Practice/visualize: Left and right limits intuitively (piecewise defined function) Practice/visualize: Limits at infinity numerically Practice/visualize: Estimating limits graphically Practice/visualize: Applying and interpreting limits
10.2 Limits and continuity Tutorial Game version Video Practice/visualize: Continuity and discontinuities graphically Practice/visualize: Continuity, discontinuities, and singular points graphically Practice/visualize: Deciding where a closed-form function is continuous Practice/visualize: Visualizing singularities Practice/visualize: Continuity of a piecewise-defined function Practice/visualize: Removable and essential singularities Practice/visualize: Visualizing removable and essential singularities
10.3 Limits and continuity: algebraic viewpoint Tutorial Part A: How to calculate limits algebraically Game version Tutorial Part B: Limits at infinity Game version Video A: How to calculate limits algebraically Video B: Limits at infinity Practice/visualize: Limit of a closed form function Practice/visualize: Limit of a closed form function and its domain Practice/visualize: Limit by simplification Practice/visualize: Calculating a limit algebraically Practice/visualize: The determinate form k/0 Practice/visualize: Miscellaneous algebraic limits at real numbers (rational quadratic functions) Practice/visualize: Calculating a limit at infinity of a ratio of polynomials algebraically Practice/visualize: Calculating a limit at infinity of a ratio involving an exponential function algebraically Practice/visualize: Calculating a limit at infinity of a rational function algebraically Practice/visualize: Finding limits at infinity of polynomial functions by disregarding lower powers Practice/visualize: Limits at infinity involving polynomials by disregarding lower powers
10.4 Average rate of change Tutorial Adaptive game version Video Practice/visualize: Calculating average rates of change from a table Practice/visualize: Visualizing average rates of change Practice/visualize: Estimating average rates of change from a graph Practice/visualize: Calculating average rates of change from a formula Practice/visualize: Calculating average rates of change from a formula: Application
10.5 The derivative: numerical and graphical viewpoints Tutorial Part A: Numerical approach Game version Tutorial Part B: Graphical approach Game version Tutorial Part C: The derivative function Game version Video Part A: The derivative: numerical approach Video Part B: The derivative: geometric approach Practice/visualize: Introduction to the concept of the derivative Practice/visualize: Estimating the derivative numerically Practice/visualize: Visualize the derivative graphically Practice/visualize: Estimating the derivative graphically Practice/visualize: Zooming in on a curve Practice/visualize: Visualize approximations of the derivatives Practice/visualize: Approximating the derivative Practice/visualize: Approximating instantaneous velocity Practice/visualize: Visualize the derivative at different values of x Practice/visualize: Graph of the derivative
10.6 The derivative: algebraic viewpoint Tutorial Adaptive game version Video Practice/visualize: Calculating the derivative at a point algebraically Practice/visualize: Visualize the derivative function evaluated at different values of x Practice/visualize: Calculating the derivative function algebraically (quadratic) Practice/visualize: Calculating the derivative function algebraically (more functions)
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 Select all sections
11.1 Derivatives of powers, sums, and constant multiples Tutorial Adaptive game version Video Practice/visualize: Derivatives of powers of x Practice/visualize: Derivatives involving powers of x in the denominator Practice/visualize: Derivatives of sums and constant multiples
11.2 A first application: Marginal analysis Tutorial Game version Video Practice/visualize: Calculating marginal cost Practice/visualize: Calculating marginal revenue and profit Practice/visualize: Visualize average and marginal cost
11.3 The product and quotient rules Tutorial Adaptive game version Video The product and quotient rules Video Prof X Squared's video Practice/visualize: Product rule (linear and quadratic functions) Practice/visualize: Product rule (general functions) Practice/visualize: Quotient rule (linear and quadratic functions) Practice/visualize: Quotient rule (general functions) Practice/visualize: Calculation thought experiment (CTE): identifying sums, differences, products, quotients, powers Practice/visualize: Combining the sum, product and quotient rules
11.4 The chain rule Tutorial Adaptive game version Tutorial Adaptive game version Video The chain rule Video Prof X Squared's video Part A Video Prof X Squared's video Part B Practice/visualize: Chain rule for powers Practice/visualize: Chain rule: more advanced Practice/visualize: Chain rule: differential notation Practice/visualize: Applying the chain rule: differential notation Practice/visualize: Manipulating the chain rule: differential notation
11.5 Derivatives of logarithmic and exponential functions Tutorial Adaptive game version Tutorial Adaptive game version Video Practice/visualize: Derivatives of log(x) with different bases Practice/visualize: Derivatives of logarithms of polynomials Practice/visualize: Derivatives of functions involving logs with different bases Practice/visualize: Derivative of b^x and polynomial times b^x Practice/visualize: Derivatives of exponentials of polynomials Practice/visualize: Derivatives of functions involving exponenials
11.6 Implicit differentiation Practice/visualize: Implicit differentiation Practice/visualize: 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

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 Select all sections
12.1 Maxima and minima Tutorial Adaptive game version Video Practice/visualize: Visualizing relative extrema Practice/visualize: Identifying relative and absolute extrema from a graph Practice/visualize: Locating stationary points: cubic functions Practice/visualize: Locating singular points of the deivative Practice/visualize: Locating maxima and minima: cubic functions Practice/visualize: Locating maxima and minima: first derivative test Practice/visualize: Locating maxima and minima: functions with singular points Practice/visualize: Locating maxima and minima: extreme value theorem
12.2 Applications of maxima and minima Tutorial Game version Video Practice/visualize: Minimizing average cost subject to an inequality constraint Practice/visualize: Maximizing area subject to a cost constraint Practice/visualize: Maximizing revenue given demand equation
12.3 Higher order derivatives: Acceleration and concavity Tutorial Game version Video Practice/visualize: Computing the second derivative of a simple function Practice/visualize: Computing the velocity and acceleration from the displacement Practice/visualize: Acceleration due to gravity Practice/visualize: Acceleration of sales Practice/visualize: Points of inflection and concavity graphically Practice/visualize: Calculating the inflation rate Practice/visualize: Second derivative test for a cubic
12.4 Analyzing graphs Tutorial Adaptive game version Video Practice/visualize: Sketching the graph of a function by identifying important features Practice/visualize: Analyzing a graph generated using technology Practice/visualize: Identifying imortant features of the graph of f using the graphs of f' and f''
12.5 Related rates Tutorial Game version Video Practice/visualize: Related rates: Distinguishing between Q and dQ/dt Practice/visualize: Related rates: The rising rocket
12.6 Elasticity Tutorial Game version Video Practice/visualize: Calculating elasticity (linear demand equation) Practice/visualize: Calculating and interpreting elasticity (quadratic demand equation)

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 Select all sections
13.1 The indefinite integral Tutorial Part A: Introduction Game version Tutorial Part B: Applications Game version Video The indefinite integral Video The indefinite integral: Applications Practice/visualize: Meaning of antiderivative Practice/visualize: Guessing simple indefinite integrals using the definition Practice/visualize: Checking an antiderivative Practice/visualize: Power rule for integrals Practice/visualize: Sum and constant multiple rules for integrals Practice/visualize: Calculating the total cost from the marginal cost Practice/visualize: Total change from rate of change Practice/visualize: Velocity and change in velocity from acceleration Practice/visualize: Velocity and position of a vertically moving object under gravity
13.2 Substitution Tutorial Game version Video Substitution: Part A Video Substitution Part B: Shortcuts Practice/visualize: Substitution: Power of x times a power of polynomial Practice/visualize: Substitution: Power of x times b raised to a polynomial Practice/visualize: Substitution: When x does not cancel Practice/visualize: Shortcut rule: Integrals of expressions involving (ax+b)
13.3 The definite integral: Numerical and graphical viewpoints Tutorial Game version Video Practice/visualize: Calculating a left Riemann sum from a formula Practice/visualize: Calculating Riemann sums from a graph Practice/visualize: Calculating a definite Integral using geometry
13.4 The definite integral: Algebraic viewpoint and the fundamental theorem of calculus Tutorial Game version Video Practice/visualize: Evaluating definite integrals using different antiderivatives of a monomial Practice/visualize: Evaluating definite integrals of simple functions Practice/visualize: Substitution in definite integral: Power of x times b raised to a polynomial Practice/visualize: Using a definite integral to calculate total change from rate of change
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 Select all sections
14.1 Integration by parts Tutorial Game version Video Prof X Squared's video Part A Video Prof X Squared's video Part B Practice/visualize: Using integration by parts
14.2 Area between two curves and applications Tutorial Game version Practice/visualize: Calculating the area between two curves (no intersection) Practice/visualize: Area between crossing curves
14.3 Averages and moving averages Practice/visualize: Calculating the average value of a function Practice/visualize: Calculating the moving average of a function
14.4 Applications to business and economics: Consumers' and producers' surplus and continuous income streams Practice/visualize: Calculating the consumer surplus Practice/visualize: Calculating the producer surplus
14.5 Improper integrals and applications There are as yet no activities for this section on the site.
14.6 Differential equations and applications Practice/visualize: First order linear differential equation
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 Select all sections
15.1 Functions of several variables from the numerical, algebraic, and graphical viewpoints Tutorial Adaptive game version Tutorial Adaptive game version Video Functions of several variables Video Using a spreadhseet Practice/visualize: Evaluating functions of two variables Practice/visualize: Evaluating functions of three variables Practice/visualize: Deciding on the domain of a function of two variables Practice/visualize: Evaluating and working with a function of two variables specified by a table Practice/visualize: Finding the coordinates of points in 3D Practice/visualize: Reading graphs of functions of two variables
15.2 Partial derivatives Video
15.3 Maxima and minima Video Maxima and minima: Part A Video Maxima and minima: Part B Video Maxima and minima: Applications
15.4 Constrained maxima and minima and applications There are as yet no activities for this section on the site.
15.5 Double integrals and applications There are as yet no activities for this section on the site.
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 Select all sections
16.1 Trigonometric functions, models, and regression Tutorial Adaptive game version Tutorial Adaptive game version
16.2 Derivatives of trigonometric functions and applications There are as yet no activities for this section on the site.
16.3 Integrals of trigonometric functions and applications There are as yet no activities for this section on the site.
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. Select all sections
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; Practice/visualize: 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. 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