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1. Maths Hub New Layout: HELM Workbooks

HELM (Helping Engineers Learn Mathematics) Workbooks

The Helping Engineers Learn Maths (HELM) workbooks were developed to aid engineering students with Maths and Stats elements related to their course. You may also find them useful during your studies.

Below we have 46 of the HELM workbooks, which were intended for first and second year students on a typical undergraduate engineering course. As such, you may find the many of the worked examples contain an emphasis on the engineering applications of Mathematics and Statistics.

Nonetheless, these workbooks remain a wide ranging source of Maths and Stats knowledge and students are encouraged to use them, whatever course they are enrolled on.

  • Workbooks 1-34 focus on various mathematical topics.
  • Workbooks 35-46 are dedicated to the study of probability and statistics.

Section 1: Basic Algebra

Section 2: Functions

Section 3: Polynomials, Inequalities and Partial Fractions

Section 4: Trigonometry

Section 5: Functions and Modelling

Section 6: Logarithms and exponentials

Section 7: Matrices

Section 8: Using Matrices and Determinants to solve equations

Section 9: Vectors

Section 10: Complex Numbers

Section 11: Differentiation

Section 12: Applications of differentiation

Section 13: Integration

Section 14: Applications of Integration I

Section 15: Applications of Integration II

Section 16: Sequences and Series

Section 17: Conic Sections

Section 18: Functions of Several Variables

Section 19: Differential Equations

Section 20: The Laplace Transform

Section 21: z-Transforms

Section 22: Eigenvalues and Eigenvectors

Section 23: Fourier Series

Section 24: Fourier Transforms

Section 25: Partial Differential Equations

Section 26: Functions of a Complex Variable

Section 27: Multiple Integration

Section 28: Differential Vector Calculus

Section 29: Integral Vector Calculus

Section 30: Introduction to Numerical Methods

Section 31: Numerical Methods of Approximation

Section 32: Numerical Initial Value Problems

Section 33: Numerical Boundary Value Problems

Section 34: Modelling Motion

Section 35: Sets and Probability

Section 36: Descriptive Statistics

Section 37: Discrete Probability Distributions

Section 38: Continuous Probability Distributions

Section 39: The Normal Distribution

Section 40: Sampling Distributions and Estimation

Section 41: Hypothesis Testing

Section 42: Goodness of Fit and Contingency Tables

Section 43: Regression and Correlation

Section 44: Analysis of Variance

Section 45: Non-parametric Statistics

Section 46: Reliability and Quality Control