University Discrete Math Induction and Recursion — Unit Notes
Every definition and theorem this unit expects you to know, stated once each and written to be revised from: 3 definitions and 6 theorems, 6 worked examples, 1 diagram, in 10 printable pages. This page lists what the notes cover. The notes themselves come with the University Discrete Math bundle.
Unit notes — in the bundle
Not sold separately. The practice worksheet for this unit is free, with no email and no account.
Induction and Recursion — what the notes cover
6 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.
Mathematical Induction for Summation Formulas
- Theorem — The principle of mathematical induction
- Definition — The parts of an induction proof
Also in this section: 1 worked example, 1 note on method and common errors.
Induction for Divisibility and Inequalities
- Theorem — Reaching the next case in a divisibility proof
- Theorem — Order facts an inductive step uses
Also in this section: 2 worked examples, 1 note on method and common errors.
Strong Induction
- Theorem — The principle of strong induction
Also in this section: 1 worked example, 1 note on method and common errors, 1 diagram.
Recursively Defined Sequences
- Definition — Recursive definition of a sequence
- Theorem — Checking a closed form
Also in this section: 1 worked example, 1 note on method and common errors.
Recursive Algorithms and Their Correctness
- Definition — Recursive procedure
- Theorem — Termination and correctness
Also in this section: 1 worked example, 1 note on method and common errors.
Where the notes are
The notes are one of the documents in the University Discrete Math Solutions Bundle, beside the unit test, the challenge problems and every worked answer key. The Induction and Recursion practice worksheet is free and stays free.
Every University Discrete Math topic — the complete Solutions Bundle
One download, one payment, the whole program. For all 9 University Discrete 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.
Induction and Recursion practice worksheet About the Induction and Recursion unit test