CEGEP Calculus II Sequences and Series — Unit Notes
Every definition and theorem this unit expects you to know, stated once each and written to be revised from: 4 definitions and 7 theorems, 6 worked examples, in 10 printable pages. This page lists what the notes cover. The notes themselves come with the CEGEP Calculus II bundle.
Unit notes — in the bundle
Not sold separately. The practice worksheet for this unit is free, with no email and no account.
Sequences and Series — what the notes cover
7 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.
Sequences
- Definition — Sequence and its limit
Also in this section: 1 worked example, 1 note on method and common errors.
Series and partial sums
- Definition — Series and partial sums
- Theorem — The test for divergence
Also in this section: 1 worked example, 1 note on method and common errors.
Geometric and telescoping series
- Theorem — Geometric series
- Definition — Telescoping series
Also in this section: 1 worked example, 1 note on method and common errors.
Tests for positive series
- Theorem — The integral test
- Theorem — The p-series
- Theorem — Comparison and limit comparison
- Theorem — The ratio and root tests
Also in this section: 1 worked example, 1 note on method and common errors.
Alternating series and absolute convergence
- Theorem — The alternating series test
- Definition — Absolute and conditional convergence
Also in this section: 1 worked example, 1 note on method and common errors.
Selecting a test
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 CEGEP Calculus II Solutions Bundle, beside the unit test, the challenge problems and every worked answer key. The Sequences and Series practice worksheet is free and stays free.
Every CEGEP Calculus II topic — the complete Solutions Bundle
One download, one payment, the whole program. For all 8 CEGEP Calculus II 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.
Sequences and Series practice worksheet About the Sequences and Series unit test