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 real-world contexts.

The curriculum-level math is enhanced with applicable review skills to shorten the prerequisite sequence without compromising competency.

Formats: Software, Textbook, Guided Notebook

Table of Contents

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