Engineering

Engineering Principles

# Mathematics for Engineers

🤓 Study

📖 Quiz

Play audio lesson

Mathematics for Engineers

Mathematics for Engineers

Basic Principles

- Understand the
**basic principles of algebra**including simplifying expressions, solving equations, and rearranging formulas. - Familiarise yourself with
**trigonometry**, focusing on understanding sine, cosine and tangent and their applications, including solving triangles and working with radian measure. - Develop a solid understanding of
**geometry**, particularly how to calculate areas and volumes of complex shapes and studying angles between lines and planes. - Become proficient at
**calculus**. This includes differentiating and integrating functions and understanding how this connects to real-world engineering scenarios, like ndetermining rates of change and calculating areas under curves.

Engineering Context

- Use your mathematical understanding in
**engineer-specific contexts**. This involves understanding physical quantities and units of measure, for example, torque, force, power and energy. - Implement
**graphical techniques**to represent engineering situations, such as plotting and interpreting data, and understanding how to read and generate engineering drawings. - Apply principles of
**statistics and probability**to engineering situations. This includes using statistical measures like mean, median, mode and standard deviation to analyse data, and using probability to analyse risk. - Use
**vectors and matrices**in engineering contexts. This involves understanding how vectors describe magnitude and direction, and how to perform operations on them. It includes understanding what a matrix is, and how to perform operations like addition, subtraction and multiplication.

Applied Techniques

- Develop an understanding of
**complex numbers**and how they're used in electrical engineering contexts. - Apply
**Fourier series**to signal analysis, used in the field of telecommunications engineering. - Use the
**Laplace transform**technique to solve differential equations, commonly used in control engineering.

Computational Methods

- Practice using calculators and
**computer software to solve complex problems**. This includes using engineering-specific software for problem-solving, and understanding the difference between exact answers and approximate answers given by calculators and computers. - Consider the advantages and disadvantages of
**different computation methods**. Manual calculations might be more accurate, but they're often slower and more prone to human error. - Understand that
**not every problem has a single 'right' solution**. In engineering, there are often trade-offs to consider. Different solutions may be better in different circumstances, so it's important to understand how to evaluate options critically.