Teaching Responsibility

LJMU Schools involved in Delivery:

LJMU Partner Taught

Learning Methods

Lecture
Tutorial

Module Offerings

3509USST-SEP-PAR

Aims

This module aims to provide students with the mathematical knowledge, understanding and skills which are required to use mathematics as an analytical tool in engineering and technology subjects.

Learning Outcomes

1.
Apply arithmetic operations to manipulate numbers and calculate values.
2.
Manipulate and solve a range of equations algebraically and numerically.
3.
Represent functions in a graphical form.
4.
Apply geometrical principles to engineering and technology problems.

Module Content

Outline Syllabus:
Arithmetic
• Types of number, factors, multiples, order of operations, indices and surds.
• Fractions, decimal numbers, addition, subtraction, multiplication and division.
• Decimal places, significant figures, scientific and engineering notation, and rounding off.
• Percentages, percentage change, percentage error
Algebra
• Fractions; addition, multiplications, division, simplification.
• Powers, product, quotient, power of a power, roots, negative indices.
• Algebraic expressions and equations, transposition, simplification and factorisation.
• Solution of linear equations, simultaneous equations and quadratic equations both algebraically and graphically.
• Direct and inverse proportionality
• Graph sketching and transformation of graphs.
• Exponential functions, introduction.
• Logarithms, logs to base 10, natural logs, products, quotients, powers.
• Sequences and series, arithmetic, geometric, sums to infinity.
Geometry
• Perimeters, areas, volumes and surface areas of common geometrical shapes and typical applications.
• Straight line graphs including gradients, intercepts, parallel and perpendicular lines, mid-points and distance from a point or line.
• Circles: Equations and graphs, tangents, arc length and areas of sectors. Angles in degrees and radians
Additional Information:
This module covers the fundamental mathematical skills needed for further study in engineering and technology subjects, and will include extensive practice problem solving, assessed regularly to support a structured approach to learning.

Assessments

Exam
Test