Learning Partnerships, Unit Catalogue 2011/12 |
|
 Credits:
| 12 |
| Level:
| Foundation (FHEQ level 3) |
| Period: |
Semester 1 at Chichester College Semester 1 at City of Bath College Semester 1 at Greenwich Community College Semester 1 at Wiltshire College |
| Assessment:
| CW20EX80 |
| Supplementary Assessment: | Reassessment exam (where allowed by programme regulations) |
| Requisites:
| |
| Description:
| Aims: This unit aims to bring students with maths ability equivalent to A level towards a higher level of mathematical knowledge. The unit will draw upon more advanced aspects of the A level syllabus and parts of the Further Maths syllabus. This unit will offer opportunities for knowledge acquisition and practise of standard methods of solution. Learning Outcomes: On successful completion of the unit, students will be able to demonstrate competence in the concepts listed in the content section below. Skills: Application of theory to the process of solution of mathematical problems. Content: Algebra. Partial fractions. Matrices - addition and subtraction, multiplication by a scalar. Products. Transformations and simple combinations of transformations of column vectors represented by matrices. Inverses of 2x2 and 3x3 matrices. Inverses of transformations. Eigenvalues and eigenvectors. Functions. Types, domain and range. Composite functions, inverse functions. Graphs of functions and their inverses. Modulus functions. Simple transformation of functions. Hyperbolic functions - their properties and graphs. Co-ordinate geometry. The circle. Sketching curves using their Cartesian or parametric equations. Trigonometry. Sec, cosec and cot and identities. Inverse trig functions. Compound and double angles and their use in solving equations. Equations of the form acosx+bsinx=c. Differentiation. Chain, product and quotient rules. Trig differentiation. Parametric and implicit differentiation. Differentiation of hyperbolic functions. Differentiation of inverse trig functions. Integration. By partial fractions, substitution and parts. Volumes of revolution. Exponential growth and decay. Integration of hyperbolic and inverse trig functions. Use of reduction formulae. |
| Programme availability: |
AS00410 is Optional on the following programmes:Learning Partnerships
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