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Diploma in Higher Education Studies

Sequences and how fast programs grow

HES 212 · Further Mathematics for University Study — Week 7 of 16

CourseHES 212
Week7 of 16
SemesterII
TutorOnline in the course chat

This week’s topics

Sequences and how fast programs grow

  1. Counting the steps a program takes
  2. Slow and fast growth

What you will be able to do

  • 2.2 Explain their relevance to algorithmic complexity (informally).

Activity

Count the steps of two simple algorithms for bigger and bigger inputs.

Study materials

Further resources

  • Think Python, Appendix B: Analysis of Algorithms · PDF · Downey, Think Python 2e (Green Tea Press), Appendix B: counting steps and how running time grows, pp. 201–209 · for registered students
  • Introduction to Computer Science, 3.3: Formal Properties of Algorithms · PDF · OpenStax Introduction to Computer Science (2024), 3.3: slow and fast growth of algorithms (a step up), pp. 104–109 · for registered students
Materials marked “for registered students” open in the student portal, which is set up as soon as you receive final acceptance.
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Course plan
  • Week 1: Coordinates and straight-line graphs
  • Week 2: Gradient and y-intercept (y = mx + c)
  • Week 3: Plotting quadratic graphs
  • Week 4: Using graphs to solve problems
  • Week 5: Number sequences and the nth term
  • Week 6: Geometric sequences
  • Week 7: Sequences and how fast programs grow
  • Midterm: Midterm evaluation
  • Week 9: Probability basics
  • Week 10: Probability of two events
  • Week 11: Statistics for a dataset
  • Week 12: From a problem to pseudocode
  • Week 13: Checking a solution with test data
  • Week 14: Maths problem-solving project
  • Week 15: Review and coursework completion
  • Final: Final assessment and submission
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