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EG1504: ENGINEERING MATHEMATICS 1 (2020-2021)

Last modified: 10 Aug 2020 17:10


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?

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

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

  • 1 Tutorial during University weeks 26 - 30, 32 - 34, 38 - 39
  • 1 Workshop during University weeks 26 - 30, 32 - 34, 38 - 39

More Information about Week Numbers


In light of Covid-19 and the move to blended learning delivery the assessment information advertised for courses may be subject to change. All updates for first-half session courses will be actioned no later than 1700 (GMT) on 18 September 2020. All updates for second half-session courses will be actioned in advance of second half-session teaching starting. Please check back regularly for updates.

Summative Assessments

1. Online timed test 1 (35%)

2. Online timed test 2 (35%)

3. Online timed test 3 (30%)

 

Resit

Re-sit of only the failed assessment component(s)

Formative Assessment

There are no assessments for this course.

Course Learning Outcomes

Knowledge LevelThinking SkillOutcome

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