Business calculus
Undergraduate · Math
Syllabus focus
Topics typically covered
Click a topic for the full text and related unit practice.
Undergraduate Business Calculus — scope drawn from OpenStax Applied Calculus / business-calculus OER sequences and typical US business calculus syllabi.
Functions and limits
- Functions — Functions
- Graphs relevant to business (linear, power, exponential) — Graphs relevant to business (linear, power, exponential)
- Exponential — Exponential
- Logarithmic functions in finance — Logarithmic functions in finance
- Limits and continuity (informal, graphical approach) — Limits and continuity (informal, graphical approach)
- Difference quotients — Difference quotients
- Average rate of change — Average rate of change
- Introduction to the derivative as instantaneous rate of change — Introduction to the derivative as instantaneous rate of change
Differentiation and applications
- Rules of differentiation — Rules of differentiation
- Chain rules — Chain rules
- Marginal analysis — Marginal analysis
- Profit functions — Profit functions
- Elasticity of demand (introduction) — Elasticity of demand (introduction)
- Optimization — Optimization
- Critical points — Critical points
- Implicit differentiation (brief, where covered) — Implicit differentiation (brief, where covered)
Integration and multivariable basics
- Antiderivatives and indefinite integrals — Antiderivatives and indefinite integrals
- Definite integrals — Definite integrals
- The Fundamental Theorem of Calculus — The Fundamental Theorem of Calculus
- Consumer and producer surplus — Consumer and producer surplus; area between curves
- Functions of two variables — Functions of two variables; partial derivatives (introduction)
- Lagrange multipliers for constrained optimization (optional) — Lagrange multipliers for constrained optimization (optional)
Study units
Each unit includes a study guide, worksheets, review, practice test, and answer key. One unit is free; subscribe for the full class.
- Functions and limits
Functions
Coming soon - Differentiation and applications
Rules of differentiation
Coming soon - Integration and multivariable basics
Antiderivatives and indefinite integrals
Coming soon
Notes
Undergraduate Business Calculus — scope drawn from OpenStax Applied Calculus / business-calculus OER sequences and typical US business calculus syllabi. Topic outline: `content/topics/undergraduate/business_calc.json`.