Table of contents

Business Mathematics from Algebra to Calculus

Master algebra, pre-calculus, and calculus through the theories and models that solve real business problems

Read each section in order. Every title can be opened as a TheoryTrace document.

• Cover
• Copyright
• How to read this book
• Introduction
• Chapter 1: Mathematical Modeling as a Business Language
• Chapter 2: Numbers, Units, Ratios, and Business Measurement
• Chapter 3: Algebraic Expressions and Business Formulas
• Chapter 4: Equations, Inequalities, and Decision Thresholds
• Chapter 5: Functions: Inputs, Outputs, and Business Systems
• Chapter 6: Linear Models and Managerial Trade-Offs
• Chapter 7: Systems of Equations and Market Equilibrium
• Chapter 8: Polynomials and Nonlinear Business Relationships
• Chapter 9: Rational Functions, Constraints, and Efficiency
• Chapter 10: Exponential Models, Compound Growth, and Business Scaling
• Chapter 11: Logarithms, Elasticity, and Measuring Multiplicative Change
• Chapter 12: Sequences, Series, and the Mathematics of Cash Flows
• Chapter 13: Geometry and Trigonometry for Business, Design, and Operations
• Chapter 14: Pre-Calculus Synthesis: Transformations, Families of Functions, and Model Choice
• Chapter 15: Limits and Continuity: Thinking at the Margin
• Chapter 16: Derivatives: Rates of Change in Business Systems
• Chapter 17: Optimization: Choosing the Best Business Decision
• Chapter 18: Elasticity, Comparative Statics, and Strategic Sensitivity
• Chapter 19: Integration: Accumulation, Total Value, and Area Under Curves
• Chapter 20: Calculus of Growth, Decay, and Continuous Finance
• Chapter 21: Multivariable Thinking for Business Decisions
• Chapter 22: Data, Regression, and Model Calibration
• Chapter 23: Risk, Uncertainty, and Mathematical Assumptions
• Chapter 24: Capstone: Building a Mathematical Business Case
• Conclusion