Exam

2 - Written exam - 70

Coursework

1 - Set exercises - 30

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<ul><li>Functions of several variables: Differentiation: definition of partial derivative for function of several variables, chain rules, differential, transformation of partial derivatives.  </li></ul>
 
<ul><li>Method of Lagrange multipliers. Integration: standard coordinate systems in R2 and R3, integration in R2 and R3, iterated integrals, change of variables, Jacobians.  </li></ul>
 
<ul><li>Differential Equations: Ordinary differential equations: linear ODEs with constant coefficients, including the integrating factor method  </li></ul>
 
<ul><li>Laplace Transforms: Introduction to Laplace Transforms;  </li></ul>
 
<ul><li>Linear Algebra Vector spaces, linear combinations and subspaces, spanning sets, linear independence and bases, dimension. Eigenvalues and eigenvectors of matrices, diagonalisation of symmetric matrices. </li></ul>
 
To enhance your learning experience modules are designed to reflect contemporary issues in the business and financial world.  As such, a degree of flexibility is expected in the exact content in terms of scope and coverage to ensure relevance to current circumstances.

Feedback is provided in a number of ways throughout your module. This includes feedback you receive during teaching from both peers and lecturers and that provided for formative assessment. Following an assessment, you will be given your marks and feedback in line with the assessment regulations and policy. More information on the timing and type of feedback that will be provided for each assessment will be available from the module leader. <a href='https://www.citystgeorges.ac.uk/about/governance/policies/student-policies-and-regulations'>https://www.citystgeorges.ac.uk/about/governance/policies/student-policies-and-regulations</a>

This module will support the development of all the graduate attributes. Your module leader will provide you with information about how your learning, teaching and assessment activities support your development of these attributes. The graduate attributes are: - Always learning - Engaged in the world - Technical and digital - Connected Professional - Creating Impact

Self-directed - 

In-Person - 

3000 Solved Problems in Linear Algebra

Classic Algebra

Mathematical Methods for Physics and Engineering

Advanced Engineering Mathematics 

Calculus Volume II

Linear Algebra done right

A Survey of Modern Algebra

Student Solution Manual for Mathematical Methods for Physics and Engineering

Schaum's Outline of Linear Algebra

Calculus and Linear Algebra (Maths 2)

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AS2052 - Calculus and Linear Algebra (Maths 2)

AS2052-PRD1-PER-ALV1

A variety of learning and teaching methods will be used in this course. 
 
Lectures are used to introduce context, concepts and techniques illustrated with practical and current examples. You will also have the opportunity to participate in class discussions and work through examples and exercises with the support of the lecturer. It is strongly recommended that you attend ALL lectures.  
 
Tutorials are used to explore the concepts and practices covered in the lectures in more detail. Specifically, they are used primarily to demonstrate technical material, although some discussion and analysis will accompany the practical techniques. Tutorials take place in smaller groups and you are expected to interact with the tutor and other students.

Key learning and teaching resources will be put on the module website on Moodle.  
 
Self-directed learning hours are for independent study and account for the minimum amount of time you should spend studying independently.  For example,  carrying out subject research, practicing and reflecting on techniques learned in class, reading widely around the subject to develop a deeper understanding, carrying out activities using the VLE, attending induction and career development workshops, working in groups to complete assignments and presentations, and completing individual assignments and other homework.

Skills

Perform constrained optimisation using the method of Lagrange multipliers.

Realise the importance of formal proofs and abstract definitions in the formulation and solution of mathematical problems.

Values and attitudes

Determine the eigenvalues and eigenvectors of a square matrix and apply them in matrix diagonalisation.

Apply your knowledge of vector spaces and linear transformations to solve algebraic problems.

Knowledge

Demonstrate an appreciation of ethical issues as they relate to both the subject matter and the wider business world. 

Solve calculus problems beyond the scope of your first year module.

Apply the techniques of the calculus of several variables and associated applications to solve a variety of applied problems.