Level 3 Award
in Mathematics
Level 3 Award could transfer 20 credits and 50% tuition fees to Level 3 Diploma programs of UKeU and/or Partner University.
Level 3 Award in Mathematics
The aim of this award is to develop learners’ knowledge and understanding of the mathematical techniques commonly used to address a variety of engineering problems. Through this unit, learners will gain the ability to apply mathematical formulas to solve practical challenges frequently encountered in engineering studies.
Could transfer 20 credits and 50% tuition fee to the Level 3 Diploma in Engineering of UKeU.
Learning Outcomes:
1.Understand the application of algebra relevant to engineering problems.
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1.1 Demonstrate application of algebra i.e.
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binomial expansion
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factorisation
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using the principle of the lowest common multiple (LCM)
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1.2 Simplify and solve algebraic equations.
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1.3 Demonstrate how to solve linear simultaneous equations with two unknowns using graphical interpretation and algebraic method: elimination method, substitution method.
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1.4 Demonstrate how to solve quadratic equations i.e.
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sketching of quadratic graphs using the formula x=(-b ±√b^2 – 4ac)/2a
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Be able to use geometry and graphs in the context of engineering problems.
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2.1 Demonstrate how to use coordinate geometry, including straight-line equations and curve sketching.
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2.2 Demonstrate graphical transformation.
3. Understand exponentials, logarithms and trigonometry related to engineering problems.
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3.1 Demonstrate problem-solving using exponentials and logarithms.
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3.2 Demonstrate problem-solving with arcs, circles and sectors.
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3.3 Demonstrate problem-solving involving right-angled triangles.
4. Understand calculus relevant to engineering problems
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4.1 Demonstrate problem-solving involving differentiation.
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4.2 Differentiate functions of the form:
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y = xn
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y = sin ax
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y = cos ax
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y = tan ax
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Topics:
Understand the application of algebra relevant to engineering problems.
Course Coverage
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Learners should understand the rules of algebra to simplify and solve mathematical problems for example:
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algebraic division
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the remainder and factor theorems
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(x+3)(x+2)=x2 +5x+6
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(a+b) 4 =a4 +4a3b+6a2b2 +4ab3 +b4
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bx+by=b(x+y)
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(x+2)/5 +(x+4)/3 = (8x+26)/15
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Using an LCM of 15
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Learners should be taught to simplify and solve equations for example: 5(x−3)−7(6−x)=12−3(8−x) leading to a solution that x=5
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Engineering problems are often described using simultaneous equations. Learners should be taught to solve simultaneous equations graphically and by calculation for example:
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electrical engineering problems using Kirchhoff’s laws forces in a mechanical system using 0.7F1 + 0.5F2 = 9 and 0.3F1 +0.4F2 =5, state that when two equations contain two unknowns
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such as 3x+7y=10 and x+4y=6, such that only one value of x and y exist that will satisfy both equations, are called simultaneous equations.
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Engineering problems can often be described using quadratic equations. Learners should be taught to solve quadratic equations for example:
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bending moment (M) of beams M=0.4x2+0.47x−3.2
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fabrication of steel boxes when the volume of the box is, 2(x − 4)(x − 4) where “x” is a required dimension
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equations of motion
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v =u+at
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v2 =u2 +2as
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Be able to use geometry and graphs in the context of engineering problems.
Course Coverage
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Straight-line equations i.e.
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equation of a line through two points
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gradient of parallel lines
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gradient of perpendicular lines
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mid-point of a line
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distance between two points
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curve sketching i.e.
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graphs of y = kxn
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graphical solution of cubic functions
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The behaviour of engineering systems can be described using straight line equations. Learners should be taught how to solve problems using straight line equations for example:
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force vs displacement for a linear spring or spring buffer
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electrical problems using Ohm’s law
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Learners should be taught to sketch mathematical functions in order to visualise (and sometimes to solve) problems for example:
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y =-3x2
- f ( x ) = x ( x − 1) ( 2 x + 1)
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m(x) = (2 − x) 3
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*Learners can be taught to use spreadsheets to plot and solve cubic functions using trend lines.
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Graphical transformations i.e.
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translation by addition
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transformation by multiplication
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Learners should be taught graphical transformations, for example:
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translation in the y direction by adding a whole number to the whole function.
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translation in the x direction by adding a whole number to x.
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multiplying the whole function by a whole number.
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multiplying x by a whole number
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Understand exponentials, logarithms and trigonometry related to engineering problems.
Course Coverage
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Many engineering systems and devices can be characterised, and problems solved using exponentials and logarithms for example:
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Voltage and current growth in capacitor circuits (RC circuits)
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Voltage and current decay in capacitor circuits (RC circuits)
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Stress-strain curves for certain engineering materials
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Learners should be taught how to solve problems involving exponential growth and decay including use of the exponential and logarithmic functions and the log laws.
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y = eax
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y = e−ax
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ey = x
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lnx=y
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Learners should be taught both how to produce and interpret sketch graphs showing exponential growth and decay.
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Problem-solving with arcs, circles and sectors i.e.
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the formula for the length of an arc of a circle
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the formula for the area of a sector of a circle
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the co-ordinate equation of a circle ( x − a) 2 + ( y − b) 2 = r 2 to determine: centre of the circle
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radius of the circle
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Problem solving involving right-angled triangles i.e.
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what is meant by the term “solution of a triangle”
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Pythagoras’ Theorem
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use of sine, cosine and tangent rule for right-angled triangles
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the formulae for the area of a right-angled triangle
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Understand calculus relevant to engineering problems
Course Coverage
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Problem-solving involving differentiation i.e.
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determine gradients of a simple curve using graphical methods
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the rule to differentiate simple algebraic functions
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determine the maximum and minimum turning points and the co-ordinates of the turning points by differentiating the equation twice
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Learners should be taught to solve problems involving differentiation, for example:
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given that an alternating voltage v = 20sin50t where v is in volts and t in seconds, calculate the rate of change of voltage at a given time.
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differentiate displacement to get velocity.
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differentiate velocity to get acceleration, where possible problems should be presented in an engineering context.
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Indicative reading list
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Croft, A. & Davison, R. (2015) Mathematics for Engineers. 4th ed. Prentice Hall
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Attwood, G. et al (2017) Edexcel AS and A-level Pure Mathematics. Pearson Education
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Beveridge, C. (2016) AS and A-level Maths for Dummies. John Wiley
Entry requirements
- Applicants must be at least 16 years old.
- Completion of full secondary education is required.
English requirements
If a learner is not from a predominantly English-speaking country, proof of English language proficiency must be provided.
- Common European Framework of Reference (CEFR) level B2 or equivalent
- Or A minimum TOEFL score of 101 or IELTS 5.5; Reading and Writing must be at 5.5 or equivalent
- Or A minimum Pearson Test of English Academic (PTE Academic) score of 51 or equivalent
The UKeU reserves the highest decision-making authority regarding admissions and may accept or reject applicants following a thorough review of each applicant’s profile, ensuring that only those capable of benefiting from the course are admitted. Qualifications from diploma mills or fake universities/institutions will not be accepted by UKeU and/or Partner University.
After graduating with Level 3 Award, learners receive all certified documents from the UKeU.
Certified Documents:
- e-Certificate from the UK eUni Worldwide (UKeU).
- Hard copy certificate from the UK eUni Worldwide (UKeU) – Optional.
- Accreditation of Prior Experiential Learning for Qualifications (APEL.Q) certified from UKeU for credit and tuition fee transfer.
Because the course is accredited and recognized, learners can easily use their qualifications in the workplace and enjoy many opportunities for career advancement. In addition, if you wish to pursue a degree from UKeU and/or a Partner University, all credits and 50% paid tuition fees can be transferred.
The UKeU’ Level 3 Award means:
The UKeU Level 3 Award is a qualification at the foundational level and is equivalent to the following:
- Level 3 Certificate of the Regulated Qualifications Framework (RQF) in the UK
- Level 6 Certificate of the Scottish Credit and Qualifications Framework (SCQF)
- Level 3 Certificate of the Credit and Qualifications Framework for Wales (CQFW)
- Level 3 Certificate of the European Qualifications Framework (EQF)
- Level 4 Certificate of the Australian Qualifications Framework (AQF)
- Level 3 Certificate of the ASEAN Qualifications Reference Framework (AQRF)
- Level 4 Certificate of the African Continental Qualifications Framework (ACQF)
Learners can transfer all credits and 50% of their tuition fees when enrolling in UKeU and/or Partner University academic programs if they wish to pursue an academic degree.
Credits transfer:
Learners can accumulate 20 credits from the Level 3 Award course when participating in the Level 3 Diploma program. Please see the credit transfer policy HERE
Tuition fee transfer:
When enrolling in the Level 3 Diploma program, graduates from the Level 3 Award will receive a fee reduction equal to 50% of the tuition fees paid for the Level 3 Award. Please refer to the tuition fee transfer policy HERE
The UKeU Micro Degree course allows learners to transfer credits and 50% of their tuition fees toward full degree programs offered by UKeU and/or Partner University. UKeU reserves the right to limit admissions once enrollment exceeds the set quotas.
Apply Policy:
- To participate in the UKeU Micro Degree course, learners need to meet the entry criteria corresponding to each level. Please see the “Entry” tab for more details.
- UKeU will not accept applicants whose entry qualifications are from fake universities or institutions that are not accredited.
- English is not a mandatory entry requirement for Micro Degree course, but candidates need to ensure that English is used in reading documents, listening to lectures, and doing assignments. Applicants should note that English is a mandatory requirement when switching to an academic program at UKeU and Partner University.
Apply Process:
- Step 1: To request a consultation for a course that best suits your needs, please email support@ukeu.uk. Our admissions department will contact you to guide you through the required documentation and the next steps in the application process.
- Step 2: Once your application documents are approved and the application fee is paid, UKeU will issue a Letter of Acceptance (LOA). You will then follow the provided instructions, including payment of the tuition fee.
- Step 3: After the tuition fee is paid, UKeU will issue a confirmation letter, provide your login details for the e-learning system, and send you all relevant documents.
- At this point, you have officially become a UKeU student. Welcome, and enjoy your learning journey!
The UKeU Micro Degree course is fully online, allowing you to study anytime and anywhere. You also have the option to attend live classes with UKeU. Final exams will be uploaded to the system and assessed by the UKeU academic board. Learners are required to submit assignments on time; failure to do so will require payment of a resit fee (with up to two attempts allowed). Continued non-compliance on a third occasion will result in being considered as having discontinued the course, and tuition fees will not be refunded.
Pricing Plans
Take advantage of one of our non-profit professional certified programs with favorable terms for your personal growing carreers.
- Full online videos
- e-Books
- Self-study contents
- Online tutor videos
- Assignment guide
- e-Certificate
- Hard copy certificate from UKeU and/or Partner Universities
- APEL.Q certified from UKeU for credit and tuition fee transfer
- Deliver hard copy certificate and all certified documents to your home
- Transfer full credits & 50% paid tuition fees of this award to equivalent academic programs
- Opportunity to get scholarships when becoming Partner Universities' international students
(*) In the event that you receive a scholarship or discount, the fee you should transfer is the amount you actually paid.
UKeU MICRO DEGREE
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