production

### Course Overview

This course is aimed at those students who want to build confidence and skills working in mathematics. This is applies to both those who need to build knowledge and those who simply wish to revise and strengthen their existing knowledge.

Mathematics is fundamental tool in Engineering. This course will help develop an understanding of the meaning of the abstract mathematics and this, in turn, helps to improve speed and accuracy working with mathematical notation. Topics covered are listed in the Course Description.

### Course Details

Study Type Level Undergraduate 1 First Sub Session 15 credits (7.5 ECTS credits) Aberdeen No Professor Ran Levi

### Qualification Prerequisites

• Either Programme Level 1 or Programme Level 2

### What courses & programmes must have been taken before this course?

• Engineering (EG)
• Any Undergraduate Programme

None.

No

### Course Description

• Algebra, geometry, trigonometry, exponentials and logarithms. Powers, laws of indices.
• Co-ordinate geometry: Cartesian co-ordinates, equations of straight line and circle.
• Trigonometry:  circles, basic trigonometric functions, identities.
• Basic differentiation: Introduction to the derivative. Slopes. Rate of change and velocity. Derivatives of elementary functions. Differentiable at a point. Differentiable over an interval. The derived function (terms rate of change, average gradient, strictly increasing, strictly decreasing, stationary point (value), maximum turning point (value), minimum turning point (value), point of inflexion, the chain rule, basic trigonometric functions. Higher derivatives. Logarithms.
• Basic integration: Introduction to integration: Integral, integrate, constant of integration, definite integral, limits of integration, indefinite integral. Integration by substitution.  Area under a curve. Integration of elementary functions. Evaluate definite integrals. Determine the area bounded by two curves.
• Vectors in three dimensions:  Scalar multiple, position vector, unit vector, component.  Vector addition and multiplication by a scalar.  Scalar product.  Determine the distance between two points in three dimensional space.

Details for second half-session courses, including assessments, may be subject to change until 23 December 2022.

### Contact Teaching Time

Information on contact teaching time is available from the course guide.

### Teaching Breakdown

• 2 Lectures during University weeks 8, 10, 12, 14, 16, 18
• 3 Lectures during University weeks 9, 11, 13, 15, 17
• 1 Tutorial during University weeks 9 - 18
• 1 Workshop during University weeks 9, 11, 13, 15, 17

Details for second half-session courses, including assessments, may be subject to change until 23 December 2022.

### Summative Assessments

1st Attempt

On Campus Exam (60%)

2 x Timed Online Test (20% each)

### Formative Assessment

There are no assessments for this course.

### Course Learning Outcomes

Knowledge LevelThinking SkillOutcome
FactualRememberILO’s for this course are available in the course guide.

## Compatibility Mode

We have detected that you are have compatibility mode enabled or are using an old version of Internet Explorer. You either need to switch off compatibility mode for this site or upgrade your browser.