Series

Overview

Framework:
Access to HE 2024
Level:
Level 3
Unit No:
Not available
Credits:
3
Guided learning hours:
Not available

Qualification Grading Type

Graded

For the full unit details, please download the latest version of the qualification specification. This is available for download on the relevant qualifications page.

Unit Learning Outcomes

To view the assessment criteria and any additional content, please expand the relevant learning outcome below.

1. — Understand the meaning of common mathematical terms associated with series.

Assessment Criteria

  • 1.1.

    Explain the meaning of the following terms:

    • sequence.
    • arithmetic progressions.
    • geometric progressions.
2. — Be able to calculate arithmetic progressions

Assessment Criteria

  • 2.1.

    Find the sum of an arithmetic progression given the first and last terms.

  • 2.2.

    Find the sum of an arithmetic progression given the first term, the common difference and the number of items.

  • 2.3.

    Solve problems involving arithmetic progressions.

  • 2.4.

    Solve problems involving arithmetic mean

3. — Be able to calculate geometric progressions.

Assessment Criteria

  • 3.1.

    Find the sum of a geometric progression given the first term, the common ratio and the number of terms.

  • 3.2.

    Find the sum to infinity of a geometric series.

  • 3.3.

    Solve problems involving geometric progressions.

  • 3.4.

    Solve problems involving geometric mean

4. — Understand convergent and divergent series.

Assessment Criteria

  • 4.1.

    Explain, using an example, why a series is convergent or divergent.

5. — Be able to calculate series.

Assessment Criteria

  • 5.1.

    Use Maclaurin series to approximate a function

  • 5.2.

    Prove a series expression.