A grasp of a range of mathematical concepts and skills is key to success in an engineering math course. This book talks about the equations and math skills students will be expected to use within their engineering math exam.
The key topics covered in most Engineering Mathematics courses (GCSE, BTEC HNC, College year 1 …etc) typically include:
- Algebraic manipulation and equations: This includes the use of algebraic techniques to solve linear equations, as well as manipulation of functions.
- Dimensional Analysis: This is a mathematical technique used to convert between different units of measurement. It is based on the principles of dimensional homogeneity, which state that any physical equation must have the same units on both sides.
- Exponential and logarithmic functions: Exponential functions are functions in which the variable appears in the exponent. Logarithmic functions are the inverse of exponential functions.
- Trigonometry: This involves the study of the properties of triangles, including the relationships between the sides and angles, and the use of trigonometric functions such as sine, cosine, and tangent. The topics also cover waveforms and Trigonometric / Hyperbolic Identities.
- Regression analysis: This is a statistical technique used to analyze the relationship between one or more independent variables and a dependent variable. The goal of regression analysis is to find the best-fit line or curve that describes the relationship between the variables.
- Graphs and data analysis: This involves the study of how to present and interpret data in graphical form, as well as techniques for analyzing and interpreting data.
- Probability and statistics: This includes the study of probability theory, statistical inference, and hypothesis testing, and their applications in engineering.