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Engineering Technician Mathematics I

Electronics Engineering · Level 5  ·  10 Chapters

Compiled by: Beatrice Chepkorir

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What Engineering Technician Mathematics I covers

In this unit, you will be able to confidently tackle a wide range of mathematical problems essential for engineering tasks, from mastering indices and logarithms to solving complex equations with precision. You’ll skillfully use scientific calculators and apply your understanding of ratios, proportions, and percentages to interpret real-world measurements and select the right tools for the job. By the end, you’ll have the solid math foundation and practical skills to support your work as an effective and reliable engineering technician.

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Careers after Engineering Technician Mathematics I

Mastering Engineering Technician Mathematics I opens doors to a wide array of practical opportunities in Kenya’s vibrant industries. These mathematical skills are the foundation for solving real-world problems, making precise calculations, and making informed decisions that drive success in technical and engineering roles.

  • In the construction sector, from Nairobi’s booming real estate projects to county infrastructure developments, your ability to solve quadratic equations and simultaneous equations helps in structural design, cost estimation, and project planning.
  • In the Jua Kali industry, artisans and technicians use indices and logarithms to calibrate tools, optimize machinery performance, and improve product quality, enabling you to innovate and grow your own workshop.
  • KenGen and other energy companies rely on technicians who can apply logarithms and ratios to analyze power output, manage resources efficiently, and troubleshoot equipment, offering you stable employment in Kenya’s growing energy sector.
  • The matatu industry requires precise calculations for route optimization, fuel consumption, and fare structuring, where your skills can help operators run profitable and efficient businesses.
  • In agribusiness organizations like KTDA, mathematical skills are essential for analyzing crop yields, managing finances, and improving supply chain efficiency, opening doors to roles in farm management and agritech.
  • Hospitality and manufacturing sectors also demand technicians who can interpret ratios and proportions to maintain quality control and optimize processes, creating opportunities for employment and entrepreneurship.

By mastering these mathematical skills, you position yourself not only for employment in Kenya’s dynamic technical fields but also for entrepreneurship, where you can innovate, lead, and build sustainable businesses. Your future is bright—these skills are your stepping stones to becoming a sought-after professional who shapes Kenya’s development. Keep practicing; your expertise will make a real difference!

Chapters

1
Apply number systems
50 topics
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2
Apply algebra
31 topics
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3
Apply Trigonometry and Hyperbolic functions
46 topics
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4
Perform coordinates geometry
40 topics
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5
Carry out binomial expansions
17 topics
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6
Apply Calculus
43 topics
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7
Apply Statistics and probability
13 topics
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8
Apply matrices
12 topics
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9
Apply Vector Theory
8 topics
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10
Apply Complex Numbers
3 topics
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What Engineering Technician Mathematics I covers: 97 main topics in 10 chapters

1. Apply number systems

  1. 1.1 Types of numbers
  2. 1.2 Percentages
  3. 1.3 Factors
  4. 1.4 Divisibility Test
  5. 1.5 LCM
  6. 1.6 Integers
  7. 1.7 Fractions
  8. 1.8 Decimals
  9. 1.9 Arithmetic operation
  10. 1.10 Squares and square roots

2. Apply algebra

  1. 2.1 Indices and logarithms
  2. 2.2 Algebra
  3. 2.3 Simultaneous Equation
  4. 2.4 Solve simultaneous equation by;
  5. 2.5 Quadratic expressions and equations

3. Apply Trigonometry and Hyperbolic functions

  1. 3.1 Importance of trigonometry in engineering
  2. 3.2 Trigonometric Ratios and Functions
  3. 3.3 Trigonometric Identities
  4. 3.4 Solving Trigonometric Equations
  5. 3.5 Trigonometry in Triangles
  6. 3.6 Introduction to Hyperbolic Functions
  7. 3.7 Hyperbolic Identities
  8. 3.8 Solving Hyperbolic Equations
  9. 3.9 Applications of Hyperbolic Functions in Engineering

4. Perform coordinates geometry

  1. 4.1 Polar equations
  2. 4.2 Cartesian equation
  3. 4.3 Graphs of polar equations
  4. 4.4 Normal and tangents
  5. 4.5 Loci

5. Carry out binomial expansions

  1. 5.1 Basic concepts of binomial theorem
  2. 5.2 Binomial Expansion
  3. 5.3 Applications of Binomial Expansion
  4. 5.4 Engineering Applications
  5. 5.5 Estimating values in engineering calculations

6. Apply Calculus

  1. 6.1 Introduction to calculus
  2. 6.2 Functional notation
  3. 6.3 The gradient of a curve
  4. 6.4 Differentiation from first principles
  5. 6.5 Differentiation of y = axn by the general rule
  6. 6.6 Differentiation of sine and cosine functions
  7. 6.7 Differentiation of eax and ln ax
  8. 6.8 Methods of differentiation
  9. 6.9 Some applications of differentiation
  10. 6.10 Practical problems involving
  11. 6.11 Tangents and normal
  12. 6.12 Small changes
  13. 6.13 Logarithmic differentiation
  14. 6.14 Introduction to logarithmic differentiation
  15. 6.15 Integral Calculus
  16. 6.16 Standard integration
  17. 6.17 The process of integration
  18. 6.18 The general solution of integrals of the form axn
  19. 6.19 Definite integrals
  20. 6.20 Integration using algebraic substitutions
  21. 6.21 Algebraic substitutions algebraic substitutions
  22. 6.22 Further worked problems on integration using algebraic substitutions
  23. 6.23 Change of limits
  24. 6.24 Integration using trigonometric substitutions
  25. 6.25 Integration using partial fractions
  26. 6.26 The t = tan 0 substitution
  27. 6.27 Integration by parts
  28. 6.28 Numerical integration
  29. 6.29 The trapezoidal rule
  30. 6.30 The mid-ordinate rule
  31. 6.31 Simpson's rule

7. Apply Statistics and probability

  1. 7.1 Measures of central tendency mean, mode and median
  2. 7.2 Measures of dispersion
  3. 7.3 Variance and standard deviation
  4. 7.4 Definition of probability
  5. 7.5 Laws of probability
  6. 7.6 Expectation variance and SD
  7. 7.7 Calculations involving discrete and continuous random variables
  8. 7.8 Types of distributions
  9. 7.9 Mean, variance and SD of probability distributions
  10. 7.10 Application of probability distributions

8. Apply matrices

  1. 8.1 Matrix
  2. 8.2 Order of a matrix
  3. 8.3 Square matrix
  4. 8.4 Compatibility in addition and
  5. 8.5 Multiplication of matrices
  6. 8.6 Multiplication of a matrix by a scalar Matrix multiplication
  7. 8.7 Identity matrix
  8. 8.8 Determinant of a 2 x 2 matrix
  9. 8.9 Inverse of a 2 x 2 matrix and
  10. 8.10 Singular matrix
  11. 8.11 Solutions of simultaneous equations in two unknowns by
  12. 8.12 Matrix Method Crammer Rule

9. Apply Vector Theory

  1. 9.1 Vectors and Scalar in Two and Three Dimensions
  2. 9.2 Position Vectors
  3. 9.3 Resolution of Vectors
  4. 9.4 Scalar and Vector Product
  5. 9.5 Gradient
  6. 9.6 Curl
  7. 9.7 Divergence

10. Apply Complex Numbers

  1. 10.1 Argand Diagrams
  2. 10.2 Complex Numbers Operations
  3. 10.3 De Moivres Theorem

Revise this unit

Exam-style questions 140 Written to CDACC standard, with answers Test yourself 156 Multiple-choice, one at a time Practise questions 92 Quick recall — check you know the facts
3 more for this unit
Oral exam preparation 41 What the assessor asks, and how to answer out loud Worked calculations 31 Step-by-step maths with the common mistakes Quick cards 717 Myth busters, skill tips and scenarios

Beyond the syllabus

Decision simulator 4 On site, what would you do? Workplace scenarios 80 Real site situations — what would you do? Turn this into income 48 Where this skill earns — what to charge, how to find clients

Other units in Module III