|
 Academic Year:
| 2012/3 |
| Owning Department/School:
| Department of Mechanical Engineering (administered by the Learning Partnerships Office) |
| Credits:
| 6 |
| Level:
| Certificate (FHEQ level 4) |
| Period: |
Semester 1 at Wiltshire College |
| Assessment:
| CW60EX40 |
| Supplementary Assessment: |
Like-for-like reassessment (where allowed by programme regulations) |
| Requisites:
| |
| Description:
| Aims: The aims of this unit are to investigate arithmetical and algebraic techniques, analyse linear and non-linear relationships, introduce calculus and introduce techniques of trigonometry and geometry. Learning Outcomes: On completion of the unit the student should be able to: * Apply arithmetical and algebraic techniques to solve given problems; * Establish linear and non-linear relationships for given data; * Solve simple calculus problems; * Use geometrical and trigonometric techniques. Skills: During the unit students should gain the following skills in: Intellectual: * Applying theory to practice (T, F, A) * Formulating outcomes (A) * Demonstrating appropriate critical thinking skills (T,F,A) * Development of the appreciation of a rigorous proof (T,A) Professional: * Communicating professionally, using different formats (T, F, A) * Working in an independent and autonomous way (F, A) * Making choices within given constraints (F,A) * Development of an appropriately analytic approach (T,F) Practical: * Prioritising time and tasks (F) * Self organisation and management (F) * Planning appropriate support and monitoring progress (T, F) * The process of acquisition of suitable mathematical tools and procedures, which are of universal application in engineering and similar fields of employment (T,A) Key: * Writing reports (A) * Problem solving skills (T,F,A) * Ability to produce work to agreed specifications and deadlines (A) * Mathematical proficiency and maturity (F) * A broad introduction to, and understanding of, basic ideas and tools of modern pure mathematics (including analysis, linear algebra and geometry) and applied mathematics (including mathematical methods, mathematical modelling and matrices) (T,A) * Appreciation of the role of rigorous proof in mathematics, and an introduction to constructing and following such proofs (F). Content: This unit concentrates on: Introduction to Arithmetic and Algebra * Numbers and number bases (binary, octal, denary, hexadecimal) * Factors (HCF and LCF) and prime numbers * Fractions and decimals * Powers and logarithms * Algebraic expressions * Introduction to polynomials and factorisation Linear relationships * Functions, composition rules (function of a function), odd and even functions * Independent and dependent variables, arguments * Domains and ranges * Characteristics of linear equations and inequalities * Graphing linear equations, y = mx + c, applications, simultaneous equations * Partial fractions Non-linear relationships * Polynomial functions (powers of 2 and higher) * Series (arithmetic and geometric progressions) Introduction to calculus * First-order differentiation * Integration Trigonometry and Geometry * Degrees and radians * Sin, cos, tan and their applications * Hyperbolic functions * Pythagoras' Theorem * Trigonometric identities * Applications, e.g. midpoint of a straight line, distance between two points * Algebraic and graphical addition of two trigonometrical graphs. |
| Programme availability: |
LP10501 is Compulsory on the following programmes:Programmes administered by the Learning Partnerships Office
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