Mathematics with Applications in Business and Social Sciences for Texas
by Hawkes Learning
Created by collaborating with instructors across Texas, the upcoming Mathematics with Applications in Business and Social Sciences for Texas courseware provides content aligned with the learning outcomes for MATH 1324 and 1325 and corequisite remediation per HB 2223.
Ideal for students majoring in fields such as business, accounting, marketing, economics, nursing, and social sciences, this course provides the mathematical concepts and applications students need to succeed in their future careers. Applications questions on topics ranging from cost and revenue to binomial probabilities show students how to directly apply lessons learned to realworld contexts.
The curriculumlevel math is enhanced with applicable review skills to shorten the prerequisite sequence without compromising competency.
Formats: Software, Textbook, Guided Notebook
Table of Contents

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

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

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

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

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

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

Chapter 6: Systems of Linear Equations; Matrices
 6.1 Solving Systems of Linear Equations by Substitution and Elimination
 6.2 Matrix Notation and GaussJordan Elimination
 6.3 Determinants and Cramer's Rule
 6.4 Basic Matrix Operations
 6.5 Inverses of Square Matrices
 6.6 Leontief InputOutput Analysis

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

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

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

Chapter 10: Limits and the Derivative
 10.1 OneSided 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

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

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

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

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

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

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