Engineering Maths
Engineering Maths Fundamentals
- Understand basic number systems: Including integers, fractions, decimals and percentages. Familiarity with these is essential basis for further calculations.
- Arithmetic operations: Be proficient with addition, subtraction, multiplication, and division.
- Application of BIDMAS rule: Bracket, Indices, Division and Multiplication (from left to right), Addition and Subtraction (from left to right).
Algebra
- Variables and expressions: Understand the use of symbols to represent numbers or quantities and the construction of mathematical expressions.
- Equations and inequalities: Know how to solve linear equations, quadratic equations and systems of linear inequalities.
- Algebraic manipulation: Simplify and factorise algebraic expressions. Develop proficiency in expanding brackets and collecting like terms.
Geometry
- Geomertic Shapes: Know about basic geometric shapes, their properties, and how to calculate their areas and perimeters.
- Pythagorean Theorem: Understand how to use the theorem to solve problems.
- Trigonometry: Understand sine, cosine, and tangent and how they are used to solve problems involving right triangles.
Statistics
- Data presentation: Learn how to organise and display data in graphs, charts, and tables.
- Measures of central tendency and dispersion: Understand mean, median, mode, and range, their calculation and interpretation.
- Correlation: Interpret scatter plots and understand the concept of correlation between two sets of data.
Calculus
- Differentiation: Understand the concept of derivative, methods of differentiation, and applications in maximising and minimising values.
- Integration: Solve basic integration problems and understand its use in calculating area under curves.
Probability
- Basic Probability: Understand the fundamental concepts of probability, including probability of independent and dependent events.
- Sets and Venn Diagrams: Know how to represent sets, subsets, and operations on sets using Venn diagrams.
- Statistics: Calculate and understand the statistical measures such as mean, mode, median, range, and standard deviation.
Always remember that practice is the key to mastering Engineering Maths. Spend time working through problems and reviewing solutions to improve understanding and gain confidence in your math skills.