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 Select all sections 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 Select all sections 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 Select all sections 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 Select all sections 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 Select all sections 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 Select all sections 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 Select all sections 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 Select all sections 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 Select all sections 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 Select all sections 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 Select all sections 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 Select all sections 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 Select all sections 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. 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; 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