University Business Math Integral Calculus for Business — Unit Notes
Every definition and theorem this unit expects you to know, stated once each and written to be revised from: 7 definitions and 5 theorems, 7 worked examples, 2 diagrams, in 16 printable pages. This page lists what the notes cover. The notes themselves come with the University Business Math bundle.
Unit notes — in the bundle
Not sold separately. The practice worksheet for this unit is free, with no email and no account.
Integral Calculus for Business — what the notes cover
8 sections, in the order the unit is taught. Each entry below is the title of a definition or a theorem the notes state in full.
What you need
Also in this section: 1 note on method and common errors.
Antiderivatives and indefinite integrals
- Definition — The antiderivative and the indefinite integral
- Theorem — Antiderivative rules for the functions of this course
Also in this section: 1 worked example, 1 note on method and common errors.
Integration by substitution
- Theorem — The substitution rule
Also in this section: 1 worked example, 1 note on method and common errors.
Riemann sums and the definite integral
- Definition — Left and right endpoint sums
- Definition — The definite integral
Also in this section: 1 worked example, 1 note on method and common errors, 1 diagram.
The Fundamental Theorem and net change
- Theorem — The Fundamental Theorem
- Definition — Net change and average value
Also in this section: 1 worked example, 1 note on method and common errors.
Area between two curves
- Theorem — The area between two curves
Also in this section: 1 worked example, 1 note on method and common errors.
Consumer and producer surplus
- Definition — The equilibrium point
- Definition — Consumer surplus and producer surplus
Also in this section: 1 worked example, 1 note on method and common errors.
The Lorenz curve and the Gini index
- Definition — The Lorenz curve
- Theorem — The Gini index
Also in this section: 1 worked example, 1 diagram.
Where the notes are
The notes are one of the documents in the University Business Math Solutions Bundle, beside the unit test, the challenge problems and every worked answer key. The Integral Calculus for Business practice worksheet is free and stays free.
Every University Business Math topic — the complete Solutions Bundle
One download, one payment, the whole program. For all 9 University Business Math units: the worksheet, the reference notes, the challenge set, the unit test and every answer key — these notes included.
- Worked solutions, not answer lists — every step written out
- Covers the whole year's program at this level
- Less than the price of one hour of tutoring — for the entire year's solutions
Practise it, then test yourself
Notes on their own do not make anything stick. This unit has a free, printable practice worksheet, and an end-of-unit test that comes with the bundle.
Integral Calculus for Business practice worksheet About the Integral Calculus for Business unit test