Mathematics A

Learning Outcomes

Subject Specific Intellectual and Research Skills

Having successfully completed this module you will be able to:

• Show confidence in manipulating mathematical expressions, setting up and solving equations and constructing simple proofs
• Select and apply appropriate mathematical methods to solve abstract and real-world problems.

Transferable and Generic Skills

Having successfully completed this module you will be able to:

• Manage your own learning
• Apply problem solving techniques to familiar and unfamiliar problems

Knowledge and Understanding

Having successfully completed this module, you will be able to demonstrate knowledge and understanding of:

• The mathematical methods within algebra, trigonometry and vectors which are the foundation of mathematics for Engineering and Physics

Revision: Revision of numerical & algebraic skills.

Equations and Polynomials:

Set up and solve linear simultaneous equations in two and three unknowns using substitution and elimination.

Set up and solve quadratic equations using factorisation and formula.

Use discriminant of a quadratic equation to determine number and type of roots.

Set up and solve pairs of simultaneous equations where one is linear and one is quadratic.

Use the remainder theorem to find unknown coefficients for polynomials.

Factorise and find any real roots of polynomials using the remainder theorem.

Solution of linear and quadratic inequalities.

Indices and Logarithms:

Understand rational indices (positive, negative & zero) including indices expressed as fractions and use them to simplify algebraic expressions.

Be able to express a number in the form x10n where {x:1x

Learning activities include

• Individual work on examples, supported by tutorial/workshop sessions/extra support sessions.
• Elements of the coursework module GENG0015, may support your learning in this module.

Teaching methods include

• Lectures, supported by example sheets.
• Tutorials/Workshops/Maths support sessions.
• Printed notes available through Blackboard and/or through your module lecturer.

Summative

This is how we’ll formally assess what you have learned in this module.

Referral

This is how we’ll assess you if you don’t meet the criteria to pass this module.