Standard syllabus
Business calculus · Undergraduate · Math
Topics
Functions and limits
- Functions and graphs relevant to business (linear, power, exponential)
- Exponential and logarithmic functions in finance
- Limits and continuity (informal, graphical approach)
- Difference quotients and average rate of change
- Introduction to the derivative as instantaneous rate of change
Differentiation and applications
- Rules of differentiation: power, product, quotient, and chain rules
- Marginal analysis: cost, revenue, and profit functions
- Elasticity of demand (introduction)
- Optimization: max/min on closed intervals and critical points
- Implicit differentiation (brief, where covered)
Integration and multivariable basics
- Antiderivatives and indefinite integrals
- Definite integrals and the Fundamental Theorem of Calculus
- Consumer and producer surplus; area between curves
- Functions of two variables; partial derivatives (introduction)
- Lagrange multipliers for constrained optimization (optional)
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