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:
| CW 20%, EX 80% |
| Supplementary Assessment: | Like-for-like reassessment (where allowed by programme regulations) |
| Requisites:
| |
| Description:
| Aims: This unit aims to ensure that students have a foundation underpinning knowledge and skills in mathematics. The unit will draw upon core aspects of the A level syllabus and will offer opportunities for knowledge acquisition and use of appropriate theory to solve problems. 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: Laws of indices including negative and rational exponents. Using and manipulating surds. Algebra: Addition, subtraction, multiplication and factorisation of polynomials. Factor & remainder theorem. Quadratic, cubic and simple reciprocal functions. Simultaneous equations in two unknowns (2 linear and 1 linear with 1 quadratic). Quadratic equations (factorisation, completing the square and formula). Solutions of linear and quadratic inequalities in one variable. Simplifying simple algebraic expressions. Equations involving algebraic fractions. Trigonometry: Radians, area of sector, arc length. 3 trig ratios for angles greater than 90 degrees, simple trigonometric equations (using identities) within given range, graphs of sin, cos and tan functions. Sine and cosine rule and applications. Coordinate Geometry: Rectangular Cartesian coordinates in two dimensions including the equation of a straight line, gradient of a line joining two points and distance between two points. Parallel & perpendicular lines. Mid-points. Series: Arithmetic and Geometric series including infinite geometric series. Exponential and logarithmic functions. Laws of logs. Equations ax=b. Differentiation: Differentiation of xn, logs and exponentials, Increasing & decreasing functions. Tangents and normals. Second derivatives. Max/min and points of inflexion. Integration: Integration as the inverse of differentiation including xn, exponentials, logs. Definite integration, areas and volumes. Trapezium rule. |
| Programme availability: |
AS00040 is Optional on the following programmes:Learning Partnerships
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