Mathematics 1Y MATHS1005

  • Academic Session: 2018-19
  • School: School of Mathematics and Statistics
  • Credits: 20
  • Level: Level 1 (SCQF level 7)
  • Typically Offered: Semester 2
  • Available to Visiting Students: Yes
  • Available to Erasmus Students: Yes

Short Description

To present an interesting level-1 course for well-qualified students which will enhance their mathematical knowledge, insights, skills and enjoyment as well as enhancing the transferable skills of reasoning, handling of abstract concepts, problem solving, communication, and clarity of presentation.

Timetable

Four days weekly - 11.00 am; weekly tutorial; 5 laboratories.

Requirements of Entry

As for Mathematics 1X

Grade A in SQA Higher Mathematics and Grade A in Advanced Higher Mathematics or equivalently good non-Scottish qualifications eg grade A* at A-level Mathematics.

Excluded Courses

Mathematics 1S and 1T

Co-requisites

Mathematics 1X

Assessment

One examination (80%) (2 hours); coursework (20%).

Main Assessment In: April/May

Course Aims

To present an interesting level-1 course for well-qualified students which will enhance their mathematical knowledge, insights, skills and enjoyment as well as enhancing the transferable skills of reasoning, handling of abstract concepts, problem solving, communication, and clarity of presentation.

Intended Learning Outcomes of Course

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

■ sketch the graphs of a variety of functions, using information determined from the equation;

■ perform the addition and subtraction of vectors and the multiplication of vectors by scalars;

■ apply vectors to geometrical problems in 3 dimensions;

■ calculate the scalar and vector products, including using the scalar and vector triple product;

■ evaluate simple definite integrals using Riemann sums;

■ solve a variety of differential equations;

■ apply integration to the calculation of the area between two curves, and the evaluation of volumes and surface areas of revolutions for curves;

■ use approximation methods including the Trapezoidal Rule, Simpson's Rule, Taylor's series and Maclaurin series.

■ evaluate a variety of integrals, having first decided on an appropriate method to use.

Minimum Requirement for Award of Credits

To be awarded the 20 credits for Mathematics 1Y, a student must fulfil the following requirements: 1) attendance at lectures on at least 50% of the occasions on which attendance is checked; 2) attendance at least 70% of all tutorials; 3) handing in tutorial work on at least 70% of all occasions on which such work was set.

Attendance at a minimum of 4 skills laboratories.