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List of Available Exercises (organized by course) To view these exercises online, please click on the Search Content and Create Your Book link PRE-ALGEBRA The Book of Problems: Prealgebra ISBN: 0-536-96602-8 Saltzer/Stimmel Multiplying and Dividing Whole Numbers The Real Number Line Graphing Intervals Least Common Multiple (LCM) Prime Factorization Reducing Fractions Using the Method of Common Factors Adding, Subtracting, Multiplying, and Dividing Fractions Adding, Subtracting, Multiplying, and Dividing Mixed Numbers Adding, Subtracting, Multiplying, and Dividing Decimals Rounding Decimals Converting Between Fractions and Decimals Solving a Proportion Greater Than and Less Than Calculating a Percentage Bases and Exponents Negative Exponents Fractional Exponents Properties of Exponents Roots and Radicals Scientific Notation The Order of Operations Sets, Subsets, and Elements The Intersection and Union of Sets Absolute Value Simplifying Algebraic Expressions Adding and Subtracting Polynomials Solving Equations Ordered Pairs and Equations in Two Variables Plotting Points on a Cartesian Graph Graphing Linear Equations Introduction to Probability Mean, Median, and Mode Appendix: Final Examination Grouped by Topic Appendix: Answers and Solutions for Final Examination Grouped by Topic Appendix: Final Examination Randomized Appendix: Answers and Solutions for Final Examination Randomized
ALGEBRA The Book of Problems: Algebra ISBN: 0-536-86211-7 Saltzer/Stimmel Bases and Exponents Properties of Exponents Addition, Subtraction, and Multiplication of Radical Expressions Permutations and Combinations Adding and Subtracting Polynomials Multiplying Polynomials Methods of Factoring Polynomials Solving Linear Equations Solving Linear Inequalities Quadratic Equations I: The Square Root Method Quadratic Equations II: Completing the Square Quadratic Equations III: The Quadratic Formula Quadratic Equations IV: Factoring Exponentials and Logarithms Properties of Logarithms The Equation of a Circle The Area and Volume of Geometric Figures Addition, Subtraction, Multiplication, and Division of Complex Numbers The Slope of a Line Distance and Midpoint Functions I: Determining if an Equation is a Function Functions II: Determining if a Graph Defines a Function Functions III: Evaluating Functions and Compositions of Functions Converting Between Degrees and Radians Right Triangles I: The Pythagorean Theorem Right Triangles II: The Six Trigonometric Functions Right Triangles III: Solving a Right Triangle Inverse Trigonometric Functions I: Introduction to Inverse Trigonometric Functions Inverse Trigonometric Functions II: Right Triangles and Inverse Trigonometric Functions Trigonometric Identities Addition and Subtraction of Vectors Finding the Magnitude of a Vector The Dot Product of Two Vectors Graphing Functions I: Simple Functions Graphing Functions II: Trigonometric Functions Graphing Functions III: Shift Properties Graphing Complex Numbers Polar Coordinates I: Plotting Polar Points Polar Coordinates II: Converting Between Polar and Rectangular Coordinates Converting Between Rectangular and Polar Complex Numbers Products and Quotients of Polar Complex Numbers DeMoivre's Theorem Adding, Subtracting, and Multiplying Matrices Finding the Determinant of a Matrix Simultaneous Equations I: Method of Addition, Method of Substitution, and Cramer's Rule Simultaneous Equations II: Gauss-Jordan Elimination Finding the Terms of a Sequence Summation of a Series Appendix: Final Examination Grouped by Topic Appendix: Answers and Solutions for Final Examination Grouped by Topic Appendix: Final Examination Randomized Appendix: Answers and Solutions for Final Examination Randomized
PRE-CALCULUS The Book of Problems: Precalculus ISBN: 0-536-15309-4 Saltzer/Stimmel Graphing Intervals Absolute Value Bases and Exponents Negative Exponents Simplification of Exponents Scientific Notation Addition, Subtraction, and Multiplication of Polynomials Methods of Factoring Polynomials Rational Expressions Roots, Radicals, and Fractional Exponents Addition, Subtraction, Multiplication, and Division of Complex Numbers Plotting Points on a Cartesian Plane Points as Solutions of Equations Graphing Linear Equations The Slope of a Line Equation of a Line Solving Linear Equations Distance and Midpoint Relations and Functions, Domain and Range Evaluating a Function View exercise Graphs as Functions Graphing Piecewise Functions Shift Properties Algebra of Functions Solving Quadratic Equations Graphing Quadratic Equations Conic Sections Inverse Functions Exponential and Logarithmic Expressions Graphing Exponential Functions Graphing Logarithmic Functions Properties of Logarithms Solving Exponential and Logarithmic Equations Systems of Equations I - The Method of Addition and the Method of Substitution Matrix Operations Systems of Equations II - Cramer's Rule and Gauss-Jordan Elimination Systems of Inequalities The Pythagorean Theorem The Six Trigonometric Functions The Graphs of the Six Trigonometric Functions The Inverse Trigonometric Functions The Graphs of the Inverse Trigonometric Functions Appendix: Final Examination I Appendix: Answers and Solutions to Final Examination I Appendix: Final Examination II Appendix: Answers and Solutions to Final Examination II
CALCULUS The Book of Problems: Calculus ISBN: 0-536-17570-5 Saltzer/Stimmel Relations and Functions The Slope of a Line The Limit of a Function The Definition of the Derivative Derivatives of Polynomials Product Rule, Quotient Rule, and Power Rule I: Simple Polynomials Derivatives of the Sine, Cosine, and Tangent Functions Derivatives of Trigonometric Functions The Derivatives of e x and Ln x Exponential and Logarithmic Functions Product Rule, Quotient Rule, and Power Rule II: Advanced Functions Derivative Summary Differential Elements The Chain Rule Derivatives and Slope Higher Order Derivatives Partial Derivatives Higher Order Partial Derivatives Implicit Differentiation Maxima, Minima, and Points of Inflection Indefinite Integrals Definite Integrals The Methods of Substitution Integration by Parts Integration by Tables Trigonometric Substitution Numerical Integration Volumes of Geometric Figures Double and Triple Integrals Differential Equations Appendix: Final Examination I Appendix: Answers and Solutions for Final Examination I Appendix: Final Examination II Appendix: Answers and Solutions for Final Examination II
STATISTICS The Book of Problems: Statistics ISBN: 0-536-27810-5 Saltzer Classes and Frequency Distributions Statistical Graphs I: Histograms, Frequency Polygons, and Ogives Statistical Graphs II: Dot Plots and Stem-and-Leaf Plots Statistical Graphs III: Pareto and Pie Charts Statistical Graphs IV: Scatter Diagrams and Time-Series Graphs Measures of Central Tendency Measures of Variation (Dispersion) Percentiles and Quartiles Empirical and Theoretical Probability (Relative Frequency and Classical Approach) Odds Against and Odds In Favor Expected Value Tree Diagrams and Sample Space "Or" Probability (Addition Rule) "And" Probability (Multiplication Rule) Complement, Conditional Probability, and Bayes' Theorem Counting Principle (Counting Rule), Permutations, and Combinations Mean, Variance, and Standard Deviation of a Probability Distribution Binomial Probability Distributions Poisson Distribution Normal Distribution Normal Curve Applications Sampling Distributions Central Limit Theorem Using Normal Approximations Confidence Intervals (Population Proportions) Sample Size (Population Proportion) Estimating Population Means (Known Standard Deviation) Estimating Population Means (Unknown Standard Deviation) Estimating Population Variances Introduction to Hypothesis Testing Hypothesis Testing (Proportion) Hypothesis Testing (Mean) Hypothesis Testing (Variable or Standard Deviation) Linear Correlation Regression and Predictions Variation and Prediction Intervals One-Way ANOVA Appendix: Statistics Tables