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The module develops mathematical skills and techniques that are necessary to embark on the first year of an Engineering Programme in Higher Education. It can bridge to the first year of either an undergraduate or HNC/HND course in engineering for students whose background in mathematics does not extend beyond GCSE level.

The module consolidates and reinforces basic skills and is intended to give students a grounding in the core areas of mathematics needed to successfully study engineering to undergraduate or HNC/HND level. Topics include algebraic manipulation, functions, circular measure, trigonometry, and elementary calculus.

Students will be provided with a learning pack where core subjects are presented in sequenced lessons that include self assessment questions with solutions to aid developmental learning. Module assessment comprises a formative element and a summative element. The formative assessment is a series of self assessment questions and answers at the end of each lesson. Feedback is also given to the students through email or by telephone. The summative assessment involves a single in course assessment comprising four elements each involving a series of short answer questions.

Detailed Description

The following list shows the lessons in recommended order of study. The Tutor Marked Assignments (TMAs) are to be completed at the end of each topic. 

Algebra
FME - 1 - 1 Introduction to Algebraic Methods
FME - 1 - 2 Laws of Indices
FME - 1 - 3 Fractional, Negative and Zero Indices
FME - 1 - 4 Algebraic Transformation
FME - 1 - 5 Solution of Linear Equations
FME - 1 - 6 Simultaneous Equations – Two Unknowns
FME - 1 - 7 Simultaneous Equations – Three Unknowns
FME - 1 - 8 Quadratic Equations
FME - 1 - 9 Laws of Logarithms
FME - 1 - 10 Solution of Index Equations
FME - 1 - 11 The Exponential Function
FME - 1 - 12 Further Algebraic Transformation
FME - TMA1 Tutor Marked Assignment 1

Trigonometry
FME - 2 - 1 The Sine and Cosine Functions
FME - 2 - 2 The Tangent Function
FME - 2 - 3 Inverse Trigonometric Functions
FME - 2 - 4 Right-Angled Triangles
FME - 2 - 5 The Sine and Cosine Rules
FME - TMA2 Tutor Marked Assignment 2

Calculus
FME - 3 - 1 Introduction to Differentiation
FME - 3 - 2 Differentiation By First Principles and ‘By Rule’
FME - 3 - 3 Negative and Fractional Powers
FME - 3 - 4 Introduction to Integration
FME - TMA3 Tutor Marked Assignment 3