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EG1504: ENGINEERING MATHEMATICS 1 (2019-2020)

Last modified: 25 Sep 2019 09:58


Course Overview

The course presents fundamental mathematical ideas useful in the study of Engineering. A major focus of the course is on differential and integral calculus. Applications to Engineering problems involving rates of change and averaging processes are emphasized. Complex numbers are introduced and developed. The course provides the necessary mathematical background for other engineering courses in level 2.

Course Details

Study Type Undergraduate Level 1
Session Second Sub Session Credit Points 15 credits (7.5 ECTS credits)
Campus Aberdeen Sustained Study No
Co-ordinators
  • Dr Mark Grant

Qualification Prerequisites

  • Either Programme Level 1 or Programme Level 2

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

  • Any Undergraduate Programme (Studied)
  • Engineering (EG)

What other courses must be taken with this course?

None.

What courses cannot be taken with this course?

Are there a limited number of places available?

No

Course Description

  1. Complex Numbers: the arithmetic of complex numbers.  Argand diagrams. Modulus, conjugate, argument etc. Polar form and de Moivre's theorem.  Solution of zn = 1. Theory of polynomial equations: roots and factors of polynomials. Fundamental theorem of Algebra. Complex roots of real polynomials occur in conjugate pairs.

  2. Revision of differential calculus: derivatives, sum and product rule. Higher derivatives. Classification of critical (stationary) points, sign test and 2nd derivative tests, maxima and minima.  Higher derivatives.

  3. Further differential calculus: chain and quotient rule. Inverse functions. The functions arcsin, arccos, arctan and their derivatives. The exponential function and natural logarithms. Hyperbolic functions.

  4. Approximation & Taylor Series: The idea of approximating one function by another. Linear (first) approximation. Second and higher approximations. Infinite series and Taylor series.

  5. Revision of integral calculus:  indefinite and definite integrals, integration of some simple functions.

  6. Further integral calculus: integration by substitution and by parts. Applications of integration.


Contact Teaching Time

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

Teaching Breakdown

More Information about Week Numbers


Summative Assessments

Exam

Assessment Type Summative Weighting 80
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Learning Outcomes
Knowledge LevelThinking SkillOutcome
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Class Test

Assessment Type Summative Weighting 20
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Feedback

We put model answers/mark schemes for all coursework and the mock exams on MyAberdeen to give students the chance to self-assess their own performance.

Learning Outcomes
Knowledge LevelThinking SkillOutcome
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Formative Assessment

There are no assessments for this course.

Resit Assessments

Exam

Assessment Type Summative Weighting 80
Assessment Weeks Feedback Weeks

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Learning Outcomes
Knowledge LevelThinking SkillOutcome
Sorry, we don't have this information available just now. Please check the course guide on MyAberdeen or with the Course Coordinator

Assessment Type Summative Weighting 20
Assessment Weeks Feedback Weeks

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Learning Outcomes
Knowledge LevelThinking SkillOutcome
Sorry, we don't have this information available just now. Please check the course guide on MyAberdeen or with the Course Coordinator

Course Learning Outcomes

Knowledge LevelThinking SkillOutcome
Sorry, we don't have this information available just now. Please check the course guide on MyAberdeen or with the Course Coordinator

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