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### 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) None. No Dr David Quinn

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### Course Description

• Algebra, geometry, trigonometry, exponentials and logarithms. Powers, laws of indices.
• Co-ordinate geometry: Cartesian co-ordinates, equations of straight line and circle.
• Parametric representation of curves. Trigonometry: circular function, identities.
• 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.
• Basic differentiation: Introduction to the derivative. Slopes. Newton Quotient. 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.
• Basic integration: Introduction to integration: Integral, integrate, constant of integration, definite integral, limits of integration, indefinite integral. Area under a curve. Integration of elementary functions. Evaluate definite integrals. Determine the area bounded by two curves.

### Contact Teaching Time

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

### Summative Assessments

1st Attempt: 1 three-hour written examination (80%) and continuous assessment (20%).

Resit: 1 three-hour written examination (80%) and continuous assessment (20%).

### Formative Assessment

There are no assessments for this course.

### Feedback

Marks for all continuously assessed work will be available through MyAberdeen and the work itself can be viewed on request.

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