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HELM: Helping Engineers Learn Mathematics

HELM (Helping Engineers Learn Mathematics) materials aimed to enhance the mathematical education of engineering undergraduates through a range of flexible learning resources in the form of Workbooks and web-delivered interactive segments. HELM materials were originally developed through a three-year curriculum development project led by Loughborough University, between October 2002 September 2005. Starting in 2020 these materials were converted to STACK questions and are now released as quizzes, mapped to the original workbooks.

For more information about the original project, see original Workbook 50: Tutor’s Guide.

As of December 2025, about two-thirds of the original HELM workbooks were converted to STACK. If there is demand for the remaining workbooks they will be added later.

Individual questions, directories of related questions, and quizzes with basic structure, can be imported into Moodle through the STACK question library.

HELM question banks are managed using Gitsync.

HELM Workbooks List

  1. Basic Algebra
  2. Basic Functions
  3. Equations, Inequalities & Partial Fractions
  4. Trigonometry
  5. Functions and Modelling
  6. Exponential and Logarithmic Functions
  7. Matrices
  8. Matrix Solution of Equations
  9. Vectors
  10. Complex Numbers
  11. Differentiation
  12. Applications of Differentiation
  13. Integration
  14. Applications of Integration 1
  15. Applications of Integration 2
  16. Sequences and Series
  17. Conics and Polar Coordinates
  18. Functions of Several Variables
  19. Differential Equations
  20. Laplace Transforms
  21. z-Transforms
  22. Eigenvalues and Eigenvectors
  23. Fourier Series
  24. Fourier Transforms
  25. Partial Differential Equations
  26. Functions of a Complex Variable
  27. Multiple Integration
  28. Differential Vector Calculus
  29. Integral Vector Calculus
  30. Introduction to Numerical Methods
  31. Numerical Methods of Approximation
  32. Numerical Boundary Value Problems
  33. Numerical Initial Value Problems
  34. Modelling Motion
  35. Sets and Probability
  36. Descriptive Statistics
  37. Discrete Probability Distributions
  38. Continuous Probability Distributions
  39. The Normal Distribution
  40. Sampling Distributions and Estimation
  41. Hypothesis Testing
  42. Goodness of Fit and Contingency Tables
  43. Regression and Correlation
  44. Analysis of Variance
  45. Non-parametric Statistics
  46. Reliability and Quality Control
  47. Mathematics and Physics Miscellany
  48. Engineering Case Studies (Not converted to STACK)
  49. Student’s Guide (Not converted to STACK)
  50. Tutor’s Guide (Not converted to STACK)