Mathematics 1R MATHS1001

  • Academic Session: 2018-19
  • School: School of Mathematics and Statistics
  • Credits: 20
  • Level: Level 1 (SCQF level 7)
  • Typically Offered: Semester 1
  • Available to Visiting Students: Yes
  • Available to Erasmus Students: Yes

Short Description

Mathematics 1R is intended to provide a half-year's Mathematics course leading on from the level of SCE Higher Mathematics.

Timetable

Four days weekly -10.00 am or 11.00 am or 4.00 pm; weekly tutorial; 5 laboratories.

Requirements of Entry

Pass in SCE Higher Mathematics or equivalent

Excluded Courses

Mathematics 1X

Assessment

One degree examination (60%) (2 hours); assigned coursework (40%).

Main Assessment In: December

Course Aims

Mathematics 1R is intended to provide a half-year's Mathematics course leading on from the level of SCE Higher Mathematics. It aims in particular, (1) to consolidate fundamental skills (eg in algebra and trigonometry); (2) to extend students' knowledge in calculus and algebra, introducing them to new topics like matrices and complex numbers; (3) to increase students' competence and confidence in handling mathematical ideas and notations that they may meet in further Mathematics courses and in other subjects.

Intended Learning Outcomes of Course

By the end of this course students will be able to:

■ use the Euclidean algorithm and long division to factorise polynomials

■ perform basic arithmetic on complex numbers in standard and polar form, including using deMoivre's theorem

■ perform basic arithmetic operations on matrices and use elementary row operations to reduce a matrix to reduced echelon form

■ solve systems of linear equations and invert matrices

■ perform symbolic algebra in which the symbols denote matrices

■ sum arithmetic and geometric progressions and related series

■ use basic notation from set theory

■ demonstrate knowledge of the trigonometric and inverse trigonometric functions

■ find the derivatives of the standard functions using the Product, Quotient and Chain Rules, where appropriate

■ apply knowledge of differentiation to various practical problems involving maximisation and minimisation

■ produce a rough sketch of a curve from its equation, with or without the use of calculus to determine any turning points.

Minimum Requirement for Award of Credits

[At least] 50% attendance at lectures and two-thirds participation in tutorials.

Attendance at a minimum of 4 laboratories.

Completion of coursework.