Series

This unit is expiring
The expiry date of this unit is 31/07/2029.

Overview

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

Qualification Grading Type

Graded

Unit Learning Outcomes

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.