Quantitative Methods Chapter 0: Review of Basic Concepts 0.1 Business Applications (II) 0.2 Business Applications (III)

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1 Quantitative Methods Chapter 0: Review of Basic Concepts 0.1 Business Applications (II) Simple Interest 0.2 Business Applications (III) Expenses Involved in Buying a Car Expenses Involved in Buying a Home 0.3 Slopes of Parallel and Perpendicular Lines 0.4 Linear Functions in Numerical (Table) Form 0.5 Techniques in Graphing Basic Functions Vertical and Horizontal Translations Reflections Vertical Stretching and Shrinking Chapter 1: Algebraic Expressions 1.1 Simplifying Expressions Identify Terms Identifying and Combining Like Terms Simplifying Expressions Build Expressions from Word Phrases 1.2 Exponents Identify and use Exponents Product Rule Power Rules for Exponents 1.3 Polynomials Polynomials, Terms, Coefficient Evaluating a Polynomial Adding Polynomials Subtracting Polynomials 1.4 Multiplication of Polynomials Product of monomial Product of Two Polynomials FOIL Method 1.5 Integer Exponents Negative Exponents Quotient Rule for Integer Exponents

2 1.6 The Quotient of Two Polynomials Dividing a Polynomial by a Monomial Quotient of Two Polynomials Chapter 2: Sets 2.1 Terminology and Notation 2.2 Types of Sets 2.3 Union of Sets 2.4 Intersection of Sets 2.5 Complement of a Set 2.6 Sets and Diagrams Venn Diagrams Counting Elements in a Diagram 2.7 Permutations and Combinations Permutation and Combination Chapter 3: Mathematics for the Consumer and Percent 3.1 Understanding Percent Change Percents to Numbers in Fraction or Decimal Form Converting Fractions to Percents Determine Percentage and Base 3.2 Solving Percent Applications A = R x B Solve Problems Using Percent Formula Solve Business Applications 3.3 Business Applications (I) Markup, Discount, Sales Tax, and Profit Commission and Tipping Chapter 4: Functions 4.1 Functions Definition of a Function Elementary Functions 4.2 Domain and Range of a Function Evaluating a Function Domain of a Function Range of a Function 4.3 Graphical Representation of a Function Numerical Form of a Function The graph of a Function Interpreting a Graph

3 4.4 Equations of Lines Point-Slope Form Slope-Intercept Form 4.5 Systems of Linear Equations in Two Variables Graphical Method Addition Method Elimination by Substitution Method 4.6 Quadratic Functions Graphing a Quadratic Function Maximum or Minimum Value 4.7 Application of Linear Functions to Business and Economics Linear Cost Functions, C(x) Linear Revenue Functions Linear Profit Function Break-Even Analysis Linear Demand Function Linear Supply Function Equilibrium Point, Shortage and Excess 4.8 Application of Quadratic Functions to Business and Economics Quadratic Revenue Function Quadratic Supply and Demand Function Quadratic Supply-Demand Functions - Equilibrium Chapter 5: Exponential and Logarithmic Functions 5.1 Exponential Functions Exponential Functions 5.2 The Meaning of Logarithms Writing Logarithmic Statements as Exponential Statements Writing Exponential Statements as Logarithmic Statements Graphing Logarithmic Functions 5.3 Logarithms Properties of Logarithms Writing an Expression as a Single Logarithm 5.4 Exponential Equations Same Base Exponential Equations Different Bases Exponential Equations 5.5 Logarithmic Equations Solving Single Logarithm Equations Solving Multiple Logarithm Equations Evaluating Logarithmic Expressions

4 5.6 Applications Formula for Continuous Exponential Change Chapter 6: Mathematics of Finance 6.1 Simple Interest and Discount Note Simple Interest Maturity Value Present Value Simple Discount Note Computing Time t for Simple Interest 6.2 Interest, Value, and Rate Compound Interest Present Value Effective Rate Computing Time t for Compound Interest 6.3 Annuities Geometric Sequence Future Value (Payment Made at the End of Period) Future Value (Payment Made at the Beginning of Period) 6.4 Present Value of an Annuity and Amortization Computing Present Value of an Annuity Amortization of a Loan Setup Amortization Schedule Unpaid Balance for Amortization of Loan Computing the Time t in Annuity 6.5 Analysis of Financial Formulas Analysis of Financial Formulas Chapter 7: Systems of Linear Equations, Matrices and Determinants 7.1 Systems of Linear Equations in More than Two variables Gaussian Elimination Method Homogeneous System 7.2 Matrix Algebra Special Matrices Equality of Matrices Addition of Matrices Subtraction of Matrices Scalar Multiplication

5 7.3 Determinants The Determinant of a 2*2 Matrix The Determinant of a 3*3 Matrix The Effects of Row Operations on Determinants Applications involving Determinants Chapter 8: Linear Programming 8.1 Systems of Linear Inequalities in Two Variables Graph of the Solution of a System of Linear Ineq Business Applications and Linear Models Formulating Word Problems Into LPP Determine Feasible Region Graphical Method for Solving LPP Chapter 9: Introduction to Statistics and Organization of Data 9.1 Introduction to Statistics Define statistics Explain the use of statistics in various diverse fields Understand the limitations of statistics Know about the abuse or distrust of statistics. 9.2 Collection of Data Identify Sources of Data Select a random sample from a small population Select a random sample from a large population by the use of random number tables. 9.3 Frequency Distribution of Quantitative Data Organize small data sets in the form of frequency distributions Organize large data sets in the form of grouped frequency distributions Construct stem-and leaf diagrams Interpret stem-and leaf diagrams 9.4 Frequency Distribution of Qualitative Data Frequency distribution for Nominal Data Frequency distribution for Ordinal Data 9.5 Alternate Forms of Frequency Distribution Construct a cumulative frequency distribution Construct a relative frequency distribution 9.6 Graphs of Frequency Distributions Histogram of continuous data Histogram of relative data Cumulative frequency histogram Histogram of discrete data

6 9.7 Frequency Polygons and Curves Frequency or density polygon Frequency curve Cumulative frequency polygon Cumulative relative frequency polygon or ogive 9.8 Graphical Presentation Of Qualitative Data Construct a bar chart Make a pie chart Chapter 10: Measures of Central Tendency and Spread 10.1 Measures of Central Tendency (Raw Data) Understand the meaning of measures of central tendency Define and compute the median, and mode Compare the central measures and effect of the shape of distribution on the central measures 10.2 Measures of Central Tendency (Grouped Data) Of frequency distribution: Single value grouping Of a grouped frequency distribution From a histogram 10.3 Measures of Variation: Raw Data Variation, Range, Variance and standard deviation Interpret the values of standard deviation using various rule 10.4 Measures of Variation (Grouped Data) Compute the measures of variation like range and SD of a frequency distribution Compute the measures of variation like range and SD of a grouped frequency distribution Obtain measures of variation from a histogram 10.5 Quartiles and Percentiles (Raw Data) Understand and find quartiles and outliers Find Five-number summary of the data and draw its box-and-whisker plot Understand and compute percentiles 10.6 Quartiles and Percentiles (Grouped Data) Of a frequency distribution: single valued grouping Of a frequency distribution: grouped by classes From a histogram Chapter 11: Probability 11.1 Definition of Probability Probability Statistical or Empirical Probability

7 Mathematical or Classical or a Priory Probability Subjective Probability Characteristics of Probability 11.2 Addition Rule of Probability Probability of Disjunction of Events Mutually Exclusive Events 11.3 Conditional Probability Conditional Events Multiplication Rule of Probability Multiplication Rule for Probability of Independent Events 11.4 The Revision of Probabilities and Bayes` Rule Revision of Probabilities and Bayes` Rule 11.5 Combinatorics Permutation and Combination Chapter 12: Probability Distributions 12.1 Discrete Probability Distributions Define a random variable and understand the difference between a discrete and a continuous ra Understand the concept of a discrete probability distribution Make a discrete probability distribution Differentiate between a relative frequency distribution and probability distribution 12.2 Presentation of a Discrete Probability Distribution Make graphical representation of a discrete probability distribution Make its numerical representation Calculate and interpret the value of mean Calculate the variance and standard deviation 12.3 Binomial Distribution Learn about the Binomial experiment Understand the basic assumptions underlying the binomial probability model Obtain the probability function of the binomial distribution Use the binomial probability model in various diverse fields in our day to day life 12.4 Graphical Presentation of The Binomial Distribution Make graphical presentation of binomial probability distribution and learn its important char Know the numerical characteristics of binomial probability distribution and obtain its mean a

8 12.5 Poisson Distribution Understand the assumptions of Poisson probability model and state the fo Use the Poisson probability tables to compute probabilities Approximate the binomial probabilities, using the Poisson distribution Appreciate the importance and applications of Poisson distribution 12.6 Other Discrete Probability Distributions Obtain the probability function of Geometric Distribution and understand its uses Obtain the probability function of Multinomial Distribution and Obtain the probability function of Hypergeometric Distribution and 12.7 Continuous Probability Distribution A. Understand the concept of probability density function and the density Compute the probabilities (areas) under density curve for simple forms Chapter 13: Normal Distribution 13.1 Normal Distribution The importance of the Normal Distribution Formula characteristics of the normal probability distribution Graphic characteristics of the normal density curve The standard scores, their interpretation and use The probability density function of standard normal distribution and its use Empirical rule for the probabilities of normal distribution 13.2 Areas Under The Standard Normal Curve Read Normal Distribution Table for areas under standard normal curve Find areas under standard normal curve Find z for a given area 13.3 Finding Normal Probability Find probabilities for a normal curve Find x for a given area (probability) 13.4 Applications of The Normal Distribution Applications of The Normal Distribution 13.5 Normal Approximation to The Binomial Distribution De-Moivre`s (Central Limit) Theorem Continuity Correction and Normal Approximation to Binomial Distribution Rule of Thumb

Finite Mathematics

Finite Mathematics 978-1-63545-026-2 To learn more about all our offerings Visit Knewton.com Source Author(s) (Text or Video) Title(s) Link (where applicable) OpenStax Senior Contributing Authors: Gilbert