Mathematics with Applications in Business and Social Sciences
by Hawkes Learning
This application-driven title covers content from fundamental algebra to essential statistics and calculus, teaching the mathematical concepts students need to succeed in their future careers. A primary emphasis is placed on showing students how to connect mathematics to real-world contexts.
Formats: Software, Textbook, eBook, Guided Notebook
Product | ISBN |
---|---|
Textbook | 978-1-64277-484-9 |
Software | 978-1-64277-106-0 |
Software + Guided Notebook | 978-1-64277-123-7 |
Table of Contents
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Chapter 0: Fundamental Concepts of Algebra
- 0.1 Real Numbers
- 0.2 The Arithmetic of Algebraic Expressions
- 0.3 Integer Exponents
- 0.4 Radicals
- 0.5 Rational Exponents
- 0.6 Polynomials and Factoring
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Chapter 1: Equations and Inequalities in One Variable
- 1.1 Linear Equations in One Variable
- 1.2 Applications of Linear Equations in One Variable
- 1.3 Linear Inequalities in One Variable
- 1.4 Quadratic Equations in One Variable
- 1.5 Higher Degree Polynomial Equations
- 1.6 Rational and Radical Equations
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Chapter 2: Linear Equations in Two Variables
- 2.1 The Cartesian Coordinate System
- 2.2 Linear Equations in Two Variables
- 2.3 Forms of Linear Equations
- 2.4 Parallel and Perpendicular Lines
- 2.5 Linear Regression
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Chapter 3: Functions and Their Graphs
- 3.1 Introduction to Functions
- 3.2 Functions and Models
- 3.3 Linear and Quadratic Functions
- 3.4 Applications of Quadratic Functions
- 3.5 Other Common Functions
- 3.6 Transformations of Functions
- 3.7 Polynomial Functions
- 3.8 Rational Functions
- 3.9 Rational Inequalities
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Chapter 4: Exponential and Logarithmic Functions
- 4.1 Exponential Functions and Their Graphs
- 4.2 Applications of Exponential Functions
- 4.3 Logarithmic Functions and Their Graphs
- 4.4 Applications of Logarithmic Functions
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Chapter 5: Mathematics of Finance
- 5.1 Basics of Personal Finance
- 5.2 Simple and Compound Interest
- 5.3 Annuities: Present and Future Value
- 5.4 Borrowing Money
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Chapter 6: Systems of Linear Equations; Matrices
- 6.1 Solving Systems of Linear Equations by Substitution and Elimination
- 6.2 Matrix Notation and Gauss-Jordan Elimination
- 6.3 Determinants and Cramer's Rule
- 6.4 Basic Matrix Operations
- 6.5 Inverses of Square Matrices
- 6.6 Leontief Input-Output Analysis
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Chapter 7: Inequalities and Linear Programming
- 7.1 Linear Inequalities in Two Variables
- 7.2 Linear Programming: The Graphical Approach
- 7.3 The Simplex Method: Maximization
- 7.4 The Simplex Method: Duality and Minimization
- 7.5 The Simplex Method: Mixed Constraints
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Chapter 8: Probability
- 8.1 Set Notation
- 8.2 Operations with Sets
- 8.3 Introduction to Probability
- 8.4 Counting Principles: Combinations and Permutations
- 8.5 Counting Principles and Probability
- 8.6 Probability Rules and Bayes' Theorem
- 8.7 Expected Value
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Chapter 9: Statistics
- 9.1 Collecting Data
- 9.2 Displaying Data
- 9.3 Describing and Analyzing Data
- 9.4 The Binomial Distribution
- 9.5 The Normal Distribution
- 9.6 Normal Approximation to the Binomial Distribution
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Chapter 10: Limits and the Derivative
- 10.1 One-Sided Limits
- 10.2 Limits
- 10.3 More about Limits
- 10.4 Continuity
- 10.5 Average Rate of Change
- 10.6 Instantaneous Rate of Change
- 10.7 Definition of the Derivative and the Power Rule
- 10.8 Techniques for Finding Derivatives
- 10.9 Applications: Marginal Analysis
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Chapter 11: More about the Derivative
- 11.1 The Product and Quotient Rules
- 11.2 The Chain Rule and the General Power Rule
- 11.3 Implicit Differentiation and Related Rates
- 11.4 Increasing and Decreasing Intervals
- 11.5 Critical Points and the First Derivative Test
- 11.6 Absolute Maximum and Minimum
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Chapter 12: Applications of the Derivative
- 12.1 Concavity and Points of Inflection
- 12.2 The Second Derivative Test
- 12.3 Curve Sketching: Polynomial Functions
- 12.4 Curve Sketching: Rational Functions
- 12.5 Business Applications
- 12.6 Other Applications: Optimization, Distance, and Velocity
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Chapter 13: Additional Applications of the Derivative
- 13.1 Derivatives of Logarithmic Functions
- 13.2 Derivatives of Exponential Functions
- 13.3 Growth and Decay
- 13.4 Elasticity of Demand
- 13.5 L'Hôpital's Rule
- 13.6 Differentials
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Chapter 14: Integration with Applications
- 14.1 The Indefinite Integral
- 14.2 Integration by Substitution
- 14.3 Area and Riemann Sums
- 14.4 The Definite Integral and the Fundamental Theorem of Calculus
- 14.5 Area under a Curve (with Applications)
- 14.6 Area between Two Curves (with Applications)
- 14.7 Differential Equations
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Chapter 15: Additional Integration Topics
- 15.1 Integration by Parts
- 15.2 Annuities and Income Streams
- 15.3 Tables of Integrals
- 15.4 Numerical Integration
- 15.5 Improper Integrals
- 15.6 Volume
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Chapter 16: Multivariable Calculus
- 16.1 Functions of Several Variables
- 16.2 Partial Derivatives
- 16.3 Local Extrema for Functions of Two Variables
- 16.4 Lagrange Multipliers
- 16.5 The Method of Least Squares
- 16.6 Double Integrals