- Title: Mathematics 1Q1
- Unit code: MATH19641
- Credit rating: 10
- Level: 1
- Pre-requisite units: Good grade in A-level Mathematics, (C1,C2,C3,C4) or equivalent
- Co-requisite units: None
- School responsible: Mathematics
- Member of staff responsible: Dr CDC Steele, Dr RM Thomas
- The programme unit aims to provide a course in calculus and algebra to students with A-level mathematics or equivalent in schools of Optometry and Chemistry
- Brief description
- 3 - 4 lectures : Revision : C2, C3 material as flagged by diagnostic test. Functions and Geometry : Rational Functions, Partial Fractions, Binomial. Inverse Trigonometric Functions; sec, csc and cot; trig identities; equations of lines and circles, parametric equations; polar coordinates.
- 4 lectures : Differentiation : Simple Functions; product, quotient and chain rules; Parametric and Implicit Differentiation.
- 3-4 lectures Integration : Indefinite and Definite Integrals; Integration of simple functions; Integration by parts and of (simple) rational functions.
- 5 lectures Vectors : Vectors in component form; vector addition, parallelogram and triangle of vectors. Vector equation of straight line. Scalar and vector products. Triple Products
- 3 lectures : Introduction to ODEs. : Examples of First and Second order ODEs. Role of arbitrary constants. Solution of First-order separable ODEs.
- 3 lectures : complex numbers. Concept, real and imaginary parts, arithmetic operations. Polar form.
- Intended learning outcomes
- Knowledge and understanding: Be familiar with functions and geometry, differentiation, integration, vectors, simple ordinary differential equations and complex numbers.
- Intellectual skills: Be able to carry out routine operations involving the topics in the syllabus
- Transferable skills and personal qualities: Have a set of tools and methods that can be applied in the courses given in the host department or in subsequent years.
- KA Stroud, Engineering Mathematics, Palgrave
- Croft et al., Introduction to Engineering Mathematics, Pearson
- Learning and teaching processes
- Two lectures in weeks 1-5 and 7-12. One smallish-group tutorial in weeks 2-5 and 7-12
- Lectures : 22
- Tutorials : 10
- Hours of private study : 68
- Diagnostic Followup Coursework (week 4); Weighting within unit 4%
- Coursework 2 (week 7); Weighting within unit 8%
- Coursework 3 (week 11); Weighting within unit 8%
- 2 hours end of semester 1 examination; Weighting within unit 80%
The lectures for course 1Q1 (MATH19641) for 2012-13 are as follows
- Wednesday 9 am : Alan Turing G107
- Wednesday 10 am : Kilburn Theatre 1.3
- Lectures given by Dr RM Thomas
Tutorial Group Information
There is a tutorial once per week.
The tutorial for course 1Q1 (MATH19641), 2012-13 for optometry students is as follows
- Monday 1pm: University Place 5.211
The tutorial for course 1Q1 (MATH19641) for chemistry students (2012-13) is as follows
- Friday 11 am : Zochonis Theatre C (weeks 2-11)
- Friday 11am: Alan Turing G207 (week 12)