production

### 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 Level Undergraduate 1 Second Sub Session 15 credits (7.5 ECTS credits) None. 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)

None.

### What courses cannot be taken with this course?

• EG1006 Engineering Mathematics 1 (Studied)
• EG1503 Engineering Mathematics 1 (Studied)
• MA1515 Mathematics for Sciences (Studied)

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.

### Degree Programmes for which this Course is Prescribed

• BSc Engineering (Civil)
• BSc Engineering (Electrical & Electronic)
• BSc Engineering (General)
• BSc Engineering (Mechanical)
• Bachelor Of Engineering In Engineering Electronic & Software
• Bachelor Of Science In Engineering (Chemical)
• Bachelor Of Science In Engineering (Petroleum)
• Bachelor of Engineering
• Bachelor of Engineering in Chemical Engineering
• Bachelor of Engineering in Eng (Civil and Environmental)
• Bachelor of Engineering in Eng (Civil and Structural)
• Bachelor of Engineering in Eng (Electrical and Electronic)
• Bachelor of Engineering in Eng (Mech with Oil & Gas Studies)
• Bachelor of Engineering in Eng (Mechanical and Electrical)
• Bachelor of Engineering in Engineering (Civil)
• Bachelor of Engineering in Engineering (Mechanical)
• Bachelor of Engineering in Petroleum Engineering
• Master Of Engineering In Elec & Electronic Eng W Renewabl En
• Master Of Engineering In Electronic & Software Engineering
• Master of Engineering
• Master of Engineering in Chemical Engineering
• Master of Engineering in Civil Eng with Subsea Technology
• Master of Engineering in Civil Engineering
• Master of Engineering in Civil Engineering with Management
• Master of Engineering in Civil and Environmental Engineering
• Master of Engineering in Civil and Structural Engineering
• Master of Engineering in Electrical & Electronic Engineering
• Master of Engineering in Mech Eng with Euro Studs
• Master of Engineering in Mech Eng with Subsea Technology
• Master of Engineering in Mechanical & Electrical Eng
• Master of Engineering in Mechanical Eng with Management
• Master of Engineering in Mechanical Engineering
• Master of Engineering in Petroleum Engineering

### Contact Teaching Time

111 hours

This is the total time spent in lectures, tutorials and other class teaching.

### Assessment

1st Attempt: One written examination of two hours duration (80%) and in-course assessment (20%). The in-course assessment comprises a single Class Test to be done in 45 minutes.
Resit: 1 two-hour written examination (80%) and continuous assessment (20%).

None.

### 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.

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