STEM / applied
Business calculus · Undergraduate · Math
Learning objectives from the Business calculus syllabus, grouped by unit. Click an objective for study materials.
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)
Learning objectives
Click an objective for study materials.
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)
Multi-Unit Problems
Course-level sets that combine skills across study units (coming soon).
Browse Multi-Unit ProblemsWhat each unit includes
Open a unit below for full materials. Typical resources:
- Study guide
- Exam Strategy
- Common Mistakes
- Worksheets
- Word problems
- Mixed Practice
- Multi-Unit Problems
- Review
- Practice test
- Answer key
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
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$1,162 · Business calculus · 18 tutoring hrs
Study guides, worksheets, reviews, practice tests, and answer keys for 1 class. 18 tutoring hours (1 hr / week · semester). Bundle discount applied vs buying separately. Pay in full via Zelle.