# 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.