Manufacturing, Engineering and Technology Engineering and Related Design

Apply Engineering Mathematics In The Measurement Control And Instrumentation Environment Training

SAQA US 119808 | NQF 5 | Credits 10 | Duration 7 Days
From $1,523 per delegate

Description

This course equips learners with the mathematical skills necessary to perform engineering calculations in measurement, control, and instrumentation environments. It covers algebraic, trigonometric, and statistical methods used to analyse and solve problems related to process control, calibration, and instrumentation systems.

Learning Outcomes

  • Apply algebraic methods to solve engineering problems in measurement and control systems.
  • Use trigonometric functions to analyse waveforms and angular relationships in instrumentation.
  • Evaluate statistical data to determine measurement uncertainty and system performance.
  • Demonstrate proficiency in using mathematical formulas for calibration and signal processing.
  • Analyse graphical data to interpret trends and relationships in control systems.
  • Solve problems involving exponents, logarithms, and complex numbers in instrumentation contexts.

Target Audience

This course is designed for engineering technicians, technologists, and artisans working in measurement, control, and instrumentation fields who require foundational mathematical competencies.

Prerequisites

None — open enrollment.

Course Outline

Day 1: Foundational Mathematics and Number Systems

Objectives:
• Understand the importance of mathematics in measurement, control, and instrumentation.
• Review basic arithmetic operations and number systems (binary, octal, hexadecimal).
• Apply algebraic manipulation to engineering formulas.
• Perform unit conversions relevant to instrumentation.

Topics:
• Role of mathematics in engineering contexts.
• Number systems: binary, octal, hexadecimal.
• Basic algebra: solving equations, transposition of formulae.
• Units and dimensional analysis.
• SI units and prefixes.
• Practical exercises on unit conversion.

Day 2: Geometry, Trigonometry, and Graphs

Objectives:
• Apply geometric principles to calculate areas and volumes of engineering components.
• Use trigonometric functions to solve problems involving angles and distances.
• Interpret and construct graphs for sensor data.
• Understand linear and non-linear relationships.

Topics:
• Geometry: areas of circles, rectangles, triangles; volumes of cylinders, spheres.
• Trigonometry: sine, cosine, tangent; right-angled triangles.
• Plotting graphs: linear, quadratic, exponential.
• Determining gradients and intercepts.
• Application to sensor calibration curves.

Day 3: Vectors, Matrices, and Complex Numbers

Objectives:
• Perform vector addition and subtraction for force and displacement analysis.
• Multiply matrices and solve systems of linear equations.
• Represent and manipulate complex numbers in Cartesian and polar forms.
• Apply complex numbers to AC circuit analysis.

Topics:
• Vectors: representation, addition, subtraction, dot product.
• Matrices: addition, multiplication, determinant, inverse.
• Solving simultaneous equations using matrices.
• Complex numbers: real and imaginary parts, modulus, argument.
• Phasor representation in instrumentation.

Day 4: Calculus – Differentiation and Integration

Objectives:
• Differentiate polynomial, trigonometric, and exponential functions.
• Apply differentiation to rates of change in sensor signals.
• Integrate simple functions and determine areas under curves.
• Use integration to calculate total quantities from rate measurements.

Topics:
• Limits and continuity.
• Differentiation: power rule, product rule, chain rule.
• Applications: velocity, acceleration, rate of change in transducers.
• Integration: indefinite and definite integrals.
• Area under curve, mean and RMS values.
• Practical examples from flow and temperature sensors.

Day 5: Differential Equations and Laplace Transforms

Objectives:
• Solve first-order ordinary differential equations (ODEs) using separation of variables.
• Apply ODEs to model RC circuits and sensor dynamics.
• Understand the Laplace transform as a tool for linear systems.
• Use Laplace transforms to solve simple ODEs.

Topics:
• First-order ODEs: formulation and solution.
• Second-order ODEs: characteristic equation, overdamped, underdamped.
• Introduction to Laplace transforms.
• Transform of common functions (step, ramp, exponential).
• Inverse Laplace transforms.
• Application to control system response.

Day 6: Statistics and Probability in Measurement

Objectives:
• Calculate mean, median, mode, variance, and standard deviation for datasets.
• Interpret normal distribution and its relevance to measurement errors.
• Apply probability concepts to reliability and risk analysis.
• Use regression analysis to calibrate instruments.

Topics:
• Descriptive statistics: central tendency, dispersion.
• Probability distributions: normal, binomial, Poisson.
• Measurement uncertainty: systematic and random errors.
• Confidence intervals and error bars.
• Linear regression: least squares method.
• Correlation coefficient and goodness of fit.

Day 7: Integration and Practical Application

Objectives:
• Combine mathematical techniques to solve integrated engineering problems.
• Analyse data from real instrumentation scenarios.
• Perform calculations for control loop tuning.
• Demonstrate competence through a summative assessment.

Topics:
• Case studies: temperature control loop, pressure measurement, flow computation.
• Mathematical modelling of a simple process.
• PID controller parameter calculation.
• Data analysis and reporting.
• Summative assessment: practical problem set.
• Course review and Q&A.

Practicals

No practicals for this training.

This course is made up of exercises and case studies delivered alongside the theory — no separate practical sessions are required to complete it.

Summatives

Each delegate is assessed continuously throughout the course and a final summative test at the end.

Daily Exercises — 30%

Every training day ends with a multiple-choice exercise scored out of 100%. The scores from each daily exercise are averaged across the duration of the course to produce a Daily Average mark, which contributes 30% to the final total.

Final Test — 70%

On the last day a final summative test is written. It is a multiple-choice paper with multiple-answer questions: each question may have more than one correct option, and a single wrong selection on a question marks the entire question wrong — no partial credit. The final test is scored out of 100% and contributes 70% to the overall mark.

Final Total
Component Out of Weight
Daily Average (multiple choice) 100% 30%
Final Test (multi-answer multiple choice) 100% 70%
Final Total 100%

All marks are recorded on the AATICD LMS and visible to each learner under their account.

Certificate

Certificate of Completion

Awarded to delegates who achieve an overall mark of 50% or higher on the Final Total (Daily Average 30% + Final Test 70%).

How it works
  • Certificates are auto-generated on the AATICD LMS as soon as the marks pass the 50% threshold.
  • Each certificate is a branded PDF with the delegate's name, the course title, the unit standard ID, NQF level, credits, and the date of issue.
  • You can download or print your certificate from your LMS dashboard at any time after issue — there's no reissue fee and no expiry date.
  • If you scored under 50% you can sit the final test again at the next scheduled session at no extra cost.
Where to find it

Sign in to the LMS, open your dashboard, and your certificates appear under My Certificates. Each entry has a View / Download button and a print option.

Training Discounts

Group discounts apply automatically — the more delegates you enrol, the greater the saving. Discounts are calculated at 3% per 5 delegates, scaling up to 40% off for 100+ delegates.

Delegates Discount
5 3% off
10 6% off
15 9% off
20 12% off
25 15% off
30 18% off
50 30% off
75 35% off
100 40% off

3% discount per 5 delegates, up to 40% off for 100+ delegates. Contact us for a custom group quote.

Upcoming Training Sessions
Online training — attend live sessions from anywhere via our virtual classroom.
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Tue 08 Sep 2026 Wed 16 Sep 2026 Virtual Spring 2026 $1,523 Register
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Thu 30 Dec 2027 Fri 07 Jan 2028 Virtual Summer 2027 $1,523 Register
Wed 19 Jan 2028 Thu 27 Jan 2028 Virtual Summer 2027 $1,523 Register
On-Campus training — face-to-face sessions at our training venues across Africa and beyond.
Showing all 499 sessions across 26 venues
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Fri 31 Jul 2026 Mon 10 Aug 2026 Lagos, Nigeria Winter 2026 $5,173 Register
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Mon 13 Dec 2027 Tue 21 Dec 2027 Your Premises Summer 2027 $1,982 Register
Fri 07 Jan 2028 Mon 17 Jan 2028 Your Premises Summer 2027 $1,982 Register
Thu 27 Jan 2028 Fri 04 Feb 2028 Your Premises Summer 2027 $1,982 Register
Training Discounts
Delegates Discount
5 3% off
10 6% off
15 9% off
20 12% off
25 15% off
30 18% off
50 30% off
75 35% off
100 40% off

3% off per 5 delegates, up to 40% for 100+

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