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- UCAS course code
- H112
- UCAS institution code
- M20
BEng/MEng Electrical, Electronic & Mechatronic Engineering with an Integrated Foundation Year
Year of entry: 2024
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Course unit details:
Mathematics 0C2
Unit code | MATH19832 |
---|---|
Credit rating | 10 |
Unit level | Level 1 |
Teaching period(s) | Semester 2 |
Available as a free choice unit? | No |
Aims
To provide an elementary second-semester course in calculus and algebra to students entering the university with no post-GCSE mathematics in the Foundation Year.
Learning outcomes
On completion of this unit successful students will be able to:
- define complex numbers and sketch them using the Argand Diagram
- perform arithmetic operations on complex numbers and compute their moduli, arguments and conjugates
- express complex numbers in their polar and exponential forms and perform computations using these expressions
- define arithmetic, geometric and binomial sequences, evaluate their sums and compute convergent series
- define binomial coefficients, write binomial formula and apply it in integration exercises
- write Taylor and Maclaurin Series and apply them to compute limits
- apply implicit, logarithmic and parametric differentiation in differentiation exercises
- write integration by parts and integration by substitution formulae and apply them in integration exercises
- compute examples of improper integrals
- express improper rational functions as proper rational functions
- find partial fraction coefficients for proper rational functions
- apply the algorithms of simplifying improper rational functions to compute their integrals
Syllabus
Complex Numbers (5 lectures) :
- Definition.
- Arithmetic operations in Cartesian form.
- Argand Diagram.
- Modulus, argument and conjugate.
- Polar and Exponential forms.
Sequences and Series (4 lectures)
- The notation of series
- Arithmetic and Geometric Series
- The role of convergence
- Binomial Series
Further Differentiation (4 lectures)
- Taylor and Maclaurin Series
- Implicit Differentiation
- Logarithmic Differentiation
- Parametric Differentiation
Further Integration (4-5 lectures)
- Reminder of basic integration
- Integration by parts
- Integration by substitution
- Improper integrals
Rational Functions and Partial Fractions (4-5 lectures)
- Simple Rational Functions (including distinction of proper / improper)
- Forms for Partial Fractions
- Techniques for finding partial fraction coefficients
Integration using partial fractions
Assessment methods
Method | Weight |
---|---|
Other | 20% |
Written exam | 80% |
Coursework 1 (week 4); Weighting within unit 10%
Coursework 2 (week 10); Weighting within unit 10%
End of semester 2 examination; Weighting within unit 80%
Recommended reading
CROFT, A & DAVISON, R. 2010. Foundation Maths (5th ed.) Pearson Education, Harlow. (ISBN9780273730767)
Study hours
Scheduled activity hours | |
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Lectures | 22 |
Tutorials | 11 |
Independent study hours | |
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Independent study | 67 |
Teaching staff
Staff member | Role |
---|---|
Tuomas Sahlsten | Unit coordinator |
Additional notes
This course unit detail provides the framework for delivery in 20/21 and may be subject to change due to any additional Covid-19 impact.
Please see Blackboard / course unit related emails for any further updates