Help Engineers Learn Mathematics (HELM) workbooks
HELM (Helping Engineers Learn Mathematics) Workbooks have been developed to assist engineering students to learn the mathematics and statistics that they will need at university.
 1. Basic algebra

Mathematical Notation and Symbols
Simplification and factorisation
 2. Basic functions

Graphs of Functions and Parametric Form
 3. Equations, inequalities and partial fractions
 4. Trigonometry
 5. Functions and modelling

The modelling Cycle and Functions
Quadratic Functions and Modelling
 6. Exponential and logarithmic functions
 7. Matrices
 8. Matric solutions of equations
 9. Vectors
 10. Complex Numbers

Argand Diagrams and the Polar Form
 11. Differentiation
 12. Applications of Differentiation
 13. Integration
 14. Applications of Integration 1

Integration as the Limits of a Sum
 15. Applications of Integration 2
 16. Sequences and Series
 17. Conics and Polar Coordinates
 18. Functions of Several Variables
 19. Differential Equations

Modelling with Differential Equations
FirstOrder Differential Equations
 20. Laplace Transforms
 21. zTransforms

zTransforms and Difference Equations
 22. Eigenvalues and Eigenvectors

Applications of Eigenvalues and Eigenvectors
 23. Fourier Series
 24. Fourier Transforms
 25. Partial Differential Equations

Partial Differential Equations
 26. Functions of a Complex Variable
 27. Multiple Integration

Integration to Surface Integrals
 28. Differential Vector Calculus
 29. Integral Vector Calculus
 30. Introduction to Numerical Methods
 31.Numerical Methods of Approximation
 32. Numerical Initial Value Problems
 33. Numerical Boundary 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. Nonparametric Statistics
 46. Reliability and Quality Control
 47. Mathematics and Physics Miscellany
 48. Engineering Case Studies
 49. Student's Guide
 50. Tutor's Guide
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