Business Calculus

Intro to Business Calculus


Calculus.org


Calculus Business Applications by Dr. Dawkins w/ Downloadable E-book

exam download:

Quiz 1: [pdf, 31 kB]; solutions [pdf, 1 MB]
Quiz 2: [pdf, 72 kB]
Midterm: [pdf, 87 kB]; make-up version: [pdf, 83 kB]
Quiz 3: [pdf, 36 kB]
Quiz 4: [pdf, 31 kB]
Final: [pdf, 44 kB]; solutions [pdf, 446 kB] 

 
Sample Exams
Sample Exam #1
Sample Exam #2
Sample Exam #3

Sample Exam Solutions
Sample Exam #1 Solutions
Sample Exam #2 Solutions
Sample Exam #3 Solutions

Sample Final Exams
Sample Final Exam #1
Sample Final Exam #2
Sample Final Exam #3
Sample Final Exam #4

Sample Final Exams Solutions
Sample Final Exam #1 Answers
Sample Final Exam #2 Answers



 
 Business Calculus presents some of the mathematical tools that are useful in the analysis of business and economic problems. A few topics are compound interest, annuities, differential and integral calculus. Here is a complete table of contents for business calculus.

• Exponential and Logarithmic Functions
• Interest and Annuities
• Limits and Continuity
• Finding Derivatives
• Applications of Derivatives
• Derivatives of Exponential and Logarithm Functions

• Indefinite Integrals
• Definite Integrals
• Business Calculus Quizzes
• Business Calculus Reviews
• Business Calculus Practice Exams
• Business Calculus Books

Exponential and Logarithmic Functions

• log exponential
• exponential functions
• the number e
• natural exponential function
• the euler number e

• applications of exponential functions
• properties of logarithmic functions
• change of base formula
• solving exponential and logarithmic equations

Interest and Annuities

• simple interest
• compound interest
• future value annuity
• amortizations
• introducing simple and compound interest
• simple and compound interest

• interest problems
• present value
• introducing annuities
• present and future value of annuities
• introducing loans and amortization

Limits and Continuity

• limits
• continuous functions
• the limit of a function
• definition of a limit
• limits that do not exist
• infinite limits
• one-sided limits
• limits with piecewise functions
• limit rules

• computing limits
• limits to infinity and horizontal asymptotes
• infinite limits and vertical asymptotes
• continuity of a function
• limits involving exponential and logarithmic expressions
• properties of a continuous function
• one-sided continuity
• determining continuity

Finding Derivatives

• average rate of change
• instantaneous rate of change
• tangent line problem
• introducing derivatives
• existence of the derivative function
• derivative formulas
• product and quotient rule
• the chain rule
• using derivative formulas
• continuity and differentiability

• techniques of differentiation
• differentiation formulas
• equation of the tangent line
• horizontal tangent lines
• higher order derivatives
• chain rule
• differentiation rules
• implicit differentiation
• logarithmic differentiation

Applications of Derivatives

• relative extrema
• finding critical numbers
• increasing and decreasing functions
• first derivative test
• concavity and inflection points
• second derivative test
• optimization using derivatives

• optimization techniques
• marginal revenue
• marginal cost
• marginal profit
• related rates
• elasticity of demand

Derivatives of Exponential and Logarithm Functions

• log derivative
• exponential derivative

• derivatives of exponential functions
• derivatives of logarithmic functions

Indefinite Integrals

• indefinite integral
• antidifferentiation
• anti-differentiation
• antidifferentiation formulas

• indefinite integrals
• antidifferentiation applications
• integration by substitution
• how to calculate profit

Definite Integrals

• sigma notation
• summation formulas
• riemann sums
• riemann sums and area
• area as the limit of a sum
• definite integral

• area as an integral
• properties of the definite integral
• distance as an integral
• first fundamental theorem of calculus
• integration by substitution with a definite integral
• second fundamental theorem of calculus

Business Calculus Quizzes

• business calculus quiz 1
• business calculus quiz 2
• business calculus quiz 3
• business calculus quiz 4

• business calculus quiz 5
• business calculus quiz 6
• business calculus quiz 7

Business Calculus Reviews

• business calculus review
• business calculus review 1

Business Calculus Practice Exams

• business calculus exam 1
• business calculus exam 2
• business calculus exam 3

Business Calculus Gifts

• Calculus Happy
• Finance Happy
• Derivative Happy
• Limits Happy

• I Love Calculus
• I Love Finance
• I Love Limits
• I Love Examples

Business Calculus Books