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Last modified: 31 May 2022 13:05

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
  • 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
  • Engineering (EG)

What other courses must be taken with this course?


What courses cannot be taken with this course?

Are there a limited number of places available?


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

Details, including assessments, may be subject to change until 31 August 2023 for 1st half-session courses and 22 December 2023 for 2nd half-session courses.

Summative Assessments

1. Online timed test 1 (35%)

2. Online timed test 2 (35%)

3. Online timed test 3 (30%)



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

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.

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