# math 138: Business Calculus (3)

Course Prerequisites/Corequisites: MATH 133 or MATH 135 or Math 137 or by department consent.

Course Description: Limits and continuity, derivatives, graphing and optimization, exponential and logarithmic functions, antiderivatives, integration, applications to management, economics, and business. Listed as MATH 1325 in the Texas Common Course Numbering System.

Textbook: College Mathematics for Business, Economics, Life Sciences and Social Sciences 12/e, by Barnett/Ziegler/Byleen

Course topics

Chapter 10 – The Derivative

• 10.1 Introduction to Limits
• 10.2 Limits and Continuity
• 10.3 The Derivative
• 10.4 Derivative of Constants, Power Forms, and Sums
• 10.5 Derivatives of Products and Quotients
• 10.6 Differentials
• 10.7 Marginal Analysis in Business and Economics

• 11.1 The Constant e and Continuous Compound Interest
• 11.2 Derivatives of Logarithmic and Exponential Functions
• 11.3 Derivatives of Products and Quotients
• 11.4 The Chain Rule
• 11.5 Implicit Differentiation
• 11.6 Related Rates
• 11.7 Elasticity of DemandChapter 12 – Additional Derivative Topics
• 12.1 First Derivative and Graphs
• 12.2 Second Derivative and Graphs
• 12.3 L’Hopitals’s Rule
• 12.4 Curve Sketching Techniques
• 12.5 Absolute Maxima and Minima
• 12.6 Optimization

Chapter 13 – Integration

• 13.1 Antiderivatives and Indefinite Integrals
• 13.2 Integration by Substitution
• 13.3 Differential Equations; Growth and Decay (optional)
• 13.4 The Definite Integral
• 13.5 The Fundamental Theorem of CalculusChapter 14 – Additional Integration Topics
• 14.1 Area Between Curves
• 14.2 Applications in Business and Economics
• 14.3 Integration by Parts (optional)
• 14.4 Integration Using TablesChapter 15 – Multivariable Calculus
• 15.1 Functions of Several Variables
• 15.2 Partial Derivatives
• 15.3 Maxima and Minima
• 15.4 Maxima and Minima Using Lagrange Multipliers (optional)