Business calculus
Undergraduate · Math
Syllabus focus
Standard syllabus · STEM / applied
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$1,162 · Business calculus · 18 tutoring hrs
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Topics typically covered
Standard syllabus
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)
STEM / applied
Business and economics models
- Compound interest, continuous compounding, and present value
- Cobb–Douglas production functions
- Inventory and revenue models over time
- Break-even analysis and sensitivity of marginal quantities
- Spreadsheet-based calculus and numerical differentiation
Data and decision support
- Fitting curves to business data (linear and exponential regression)
- Discrete vs continuous models in finance
- Introduction to linear programming in business settings
- Interpretation of derivatives and integrals in managerial contexts
Notes
Topics reflect common "calculus for business and social sciences" syllabi at US colleges and universities. This course typically substitutes for a full calculus sequence for non-STEM majors.