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Business Calculus · Lessons

Business Calculus lessons

8 sections · 65 skills · work through the full outline skill by skill — read the long-form lesson or flip through the slide-style version.
Long-form lessonsSlide-style lessons

Business Calculus

Practice 65 skills across this outline.

Recommended next
Fundamental Theorem of Calculus
Integration · Antiderivatives and Definite Integrals
Long-form lesson
Weighting distribution
19 categories
Differential Equations (Business Models)
13%
Problem-Solving & Modeling Tools · Workflow and Interpretation
9%
Integration · Antiderivatives and Definite Integrals
8%
Limits & Continuity · Limit Concepts and Computation
8%
Derivatives · Differentiation Rules
6%
Applications of Integration in Business/Economics · Continuous Compounding and Present Value
6%

Skills

The comprehensive taxonomy of business calculus — drill into a card to work its skills.

Integration · Antiderivatives and Definite Integrals

4 core skills8% total weight
0/4 completed
4 skills to mastery
1
Fundamental Theorem of CalculusRecommended
Long-form
2
Antiderivatives & Indefinite IntegralsAvailable
Long-form
3
Definite Integral as AccumulationAvailable
Long-form
4
u-SubstitutionAvailable
Long-form

Integration · Numerical Integration and Approximation

3 core skills5% total weight
0/3 completed
3 skills to mastery
1
Riemann SumsAvailable
Long-form
2
Trapezoidal RuleAvailable
Long-form
3
Error & Reasonableness ChecksAvailable
Long-form

Derivatives · Differentiation Rules

4 core skills6% total weight
0/4 completed
4 skills to mastery
1
Exponential & Logarithmic DerivativesAvailable
Long-form
2
Power, Product & Quotient RulesAvailable
Long-form
3
Chain RuleAvailable
Long-form
4
Implicit DifferentiationAvailable
Long-form

Derivatives · Derivative Concepts

4 core skills4% total weight
0/4 completed
4 skills to mastery
1
Derivative as Instantaneous RateAvailable
Long-form
2
Differentiability vs. ContinuityAvailable
Long-form
3
Derivative as SlopeAvailable
Long-form
4
Estimating DerivativesAvailable
Long-form

Derivatives · Higher-Order Derivatives and Interpretation

2 core skills3% total weight
0/2 completed
2 skills to mastery
1
Second Derivative & ConcavityAvailable
Long-form
2
Higher-Order DerivativesAvailable
Long-form

Limits & Continuity · Limit Concepts and Computation

4 core skills8% total weight
0/4 completed
4 skills to mastery
1
Limits in ContextAvailable
Long-form
2
Limits at InfinityAvailable
Long-form
3
Computing LimitsAvailable
Long-form
4
One-Sided & Infinite LimitsAvailable
Long-form

Limits & Continuity · Continuity and Discontinuities

3 core skills5% total weight
0/3 completed
3 skills to mastery
1
Intermediate Value TheoremAvailable
Long-form
2
Continuity & Piecewise FunctionsAvailable
Long-form
3
Types of DiscontinuitiesAvailable
Long-form

Applications of Integration in Business/Economics · Accumulation Models

3 core skills4% total weight
0/3 completed
3 skills to mastery
1
Average Value in ContextAvailable
Long-form
2
Net Change & Total ChangeAvailable
Long-form
3
Accumulated Cost/RevenueAvailable
Long-form

Applications of Integration in Business/Economics · Continuous Compounding and Present Value

3 core skills6% total weight
0/3 completed
3 skills to mastery
1
Present Value: Continuous CompoundingAvailable
Long-form
2
Discrete vs. Continuous CompoundingAvailable
Long-form
3
Continuous Cash Flow ModelsAvailable
Long-form

Applications of Integration in Business/Economics · Consumer and Producer Surplus

3 core skills3% total weight
0/3 completed
3 skills to mastery
1
Producer SurplusAvailable
Long-form
2
Interpreting SurplusAvailable
Long-form
3
Consumer SurplusAvailable
Long-form

Differential Equations (Business Models)

4 core skills13% total weight
0/4 completed
4 skills to mastery
1
Interpreting DE SolutionsAvailable
Long-form
2
Exponential Growth/Decay ModelsAvailable
Long-form
3
Separable DEs: Growth/DecayAvailable
Long-form
4
Logistic Growth ModelsAvailable
Long-form

Functions, Models & Algebra Tools · Exponential and Log Tools

4 core skills6% total weight
0/4 completed
4 skills to mastery
1
Continuous Compounding & RatesAvailable
Long-form
2
Logarithm PropertiesAvailable
Long-form
3
Solving Exponential & Log EquationsAvailable
Long-form
4
Exponential Business ModelsAvailable
Long-form

Functions, Models & Algebra Tools · Algebra and Function Basics

4 core skills6% total weight
0/4 completed
4 skills to mastery
1
Graph InterpretationAvailable
Long-form
2
Solving Applied EquationsAvailable
Long-form
3
Functions: Domain & RangeAvailable
Long-form
4
Model InterpretationAvailable
Long-form

Applications of Derivatives in Business · Curve Sketching and Behavior

3 core skills3% total weight
0/3 completed
3 skills to mastery
1
Asymptotes & Long-Run BehaviorAvailable
Long-form
2
Increasing/Decreasing & Local ExtremaAvailable
Long-form
3
Concavity & Inflection PointsAvailable
Long-form

Applications of Derivatives in Business · Optimization

4 core skills4% total weight
0/4 completed
4 skills to mastery
1
Absolute ExtremaAvailable
Long-form
2
Revenue, Cost & Profit OptimizationAvailable
Long-form
3
First Derivative TestAvailable
Long-form
4
Second Derivative TestAvailable
Long-form

Applications of Derivatives in Business · Elasticity and Demand

3 core skills4% total weight
0/3 completed
3 skills to mastery
1
Elastic vs. Inelastic DemandAvailable
Long-form
2
Price Elasticity of DemandAvailable
Long-form
3
Derivatives for Demand & RevenueAvailable
Long-form

Applications of Derivatives in Business · Marginal Analysis

3 core skills2% total weight
0/3 completed
3 skills to mastery
1
Average vs. MarginalAvailable
Long-form
2
Marginal Cost, Revenue & ProfitAvailable
Long-form
3
Approximating with MarginalsAvailable
Long-form

Problem-Solving & Modeling Tools · Technology and Data (As Used)

3 core skills3% total weight
0/3 completed
3 skills to mastery
1
Regression ModelsAvailable
Long-form
2
Solving Equations NumericallyAvailable
Long-form
3
Estimating from Graphs & TablesAvailable
Long-form

Problem-Solving & Modeling Tools · Workflow and Interpretation

4 core skills9% total weight
0/4 completed
4 skills to mastery
1
Choosing ModelsAvailable
Long-form
2
Common Setup PitfallsAvailable
Long-form
3
Interpreting & Checking AnswersAvailable
Long-form
4
Units & Dimensional ConsistencyAvailable
Long-form