# Mathematics 1X MATHS1004

• 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

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

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.

Mathematics 1R

#### Assessment

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

Main Assessment In: December

#### 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:

■ manipulate complex numbers in cartesian and polar forms, including the use of deMoivre's theorem;

■ produce valid mathematical proofs including proofs by induction;

■ sum various arithmetic, geometric and related series;

■ use the binomial theorem including applications to trigonometric identities;

■ use eros in the finding of inverses and in the solution of linear systems of equations;

■ determine whether or not a given function is injective or surjective and find an inverse function when it exists;

■ determine the limit of a real function at a given point when it exists;

■ obtain, from first principles, the derivative of a simple function;

■ prove the chain, product and quotient rules and use them in the calculation of derivatives of compositions of functions;

■ solve a variety of problems related to the logarithmic, exponential and hyperbolic functions.

#### Minimum Requirement for Award of Credits

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

Attendance at a minimum of 4 laboratories.