Learning Partnerships, Unit Catalogue 2011/12 |
|
 Credits:
| 12 |
| Level:
| Foundation (FHEQ level 3) |
| Period: |
Semester 2 at Chichester College Semester 2 at City of Bath College Semester 2 at Greenwich Community College Semester 2 at Wiltshire College |
| Assessment:
| CW 20%, EX 80% |
| Supplementary Assessment: | Like-for-like reassessment (where allowed by programme regulations) |
| Requisites:
| Before taking this unit you must take AS00040 |
| Description:
| Aims: This unit aims to bring students up to a Year 1 entry standard of knowledge and skills in Mathematics. The unit will draw upon more advanced aspects of the `A� level syllabus and will achieve an equivalent depth and standard in these aspects. The unit will offer opportunities for knowledge acquisition and practice of theoretical problem-solving. 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: Functions: Concept of a function as a one-to-one or many-to one mapping. Domain and range. Composite functions. Inverse functions. Graphical representation of a function and of its inverse, to include quadratic functions. Modulus function. Equations of the form y=xn. Effect of simple transformations on the graph y=f(x) as represented by y = af(x), y=f(x)+a, y=f(x+a), y=f(ax). Sequences and series: Recurrence relations, Binomial series for all real values of n. Algebraic Processing skills: Partial fractions.. Further Coordinate Geometry: The circle. Cartesian & parametric equations of curves and sketching these curves. Further Trigonometry: Sec, cosec, cot. Inverse trig functions. Trigonometric identities including compound angles, double angles. Further solution of trig equations including use of trig identities and equations of the form acosx + bsinx=c. Further Differentiation: Chain , product and quotient rules. Trig differentiation. Parametric & implicit differentiation. Further Integration: Trig integration. Integration by substitution and parts. Integration using partial fractions. Volumes of revolution. Formation and solution of first order differential equations using separation of variables. Exponential growth and decay. Vectors: Definitions and operations of vectors (including components in two and three dimensions). Position vector. Scalar product. |
| Programme availability: |
AS00041 is Optional on the following programmes:Learning Partnerships
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