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Engineering Mathematics II

Industrial Control and Installation · Level 6  ·  4 Chapters

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What Engineering Mathematics II covers

In this unit, you will be able to confidently tackle a wide range of engineering mathematics problems, from solving complex equations and working with logarithms to mastering trigonometric and hyperbolic functions. You’ll skillfully use scientific calculators and visualize complex numbers through Argand diagrams, empowering you to apply these mathematical tools effectively in real-world engineering tasks. By the end, you’ll have the precision and problem-solving skills needed to analyze and interpret mathematical data with confidence in your trade.

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Careers after Engineering Mathematics II

Mastering Engineering Mathematics II opens doors to a wide range of practical and rewarding careers in Kenya’s vibrant engineering and technical sectors. The skills you gain here are the backbone of problem-solving and innovation in many workplaces, helping you design, analyze, and improve systems that power our economy and daily lives.

  • In the construction industry, whether working on county government infrastructure projects or private developments, you’ll use quadratic equations and trigonometry to calculate loads, angles, and materials, ensuring buildings and roads are safe and durable.
  • The jua kali sector relies on precise measurements and calculations for metal fabrication, welding, and machinery repair, where your knowledge of logarithms and simultaneous equations helps improve efficiency and product quality.
  • At KenGen and other energy companies, you’ll apply complex numbers and hyperbolic functions to analyze electrical circuits and optimize power generation, contributing to Kenya’s sustainable energy future.
  • The matatu industry benefits from your skills in arithmetic and geometric progressions to manage fleet operations, calculate fuel consumption, and optimize routes, boosting profitability.
  • In agribusiness and organizations like KTDA, mathematical modeling and progressions assist in forecasting crop yields and managing supply chains, helping farmers increase productivity and incomes.
  • Hospitality and manufacturing sectors use your ability to handle complex calculations and scientific tools for quality control, equipment maintenance, and process improvement, creating safer and more efficient workplaces.

By mastering these mathematical tools, you position yourself not only for employment in Kenya’s growing technical fields but also for entrepreneurship—starting your own workshop, consulting, or innovation hub. Your skills will make you a problem-solver and a leader in Kenya’s development story.

Keep pushing forward—these mathematical foundations will empower you to build a successful, impactful career and contribute meaningfully to Kenya’s future!

Chapters

1
Apply Statistics
21 topics
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2
Apply Vector theory
9 topics
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3
Apply Matrix
6 topics
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4
Apply concept of probability for work
15 topics
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What Engineering Mathematics II covers: 28 main topics in 4 chapters

1. Apply Statistics

  1. 1.1 Classification of data
  2. 1.2 Data collection
  3. 1.3 Tabulation of data
  4. 1.4 Diagrammatic and graphical presentation of data e.g
  5. 1.5 Measures of central tendency (mean, mode and median)
  6. 1.6 Measures of dispersion

2. Apply Vector theory

  1. 2.1 Definition of dot and cross product of vectors
  2. 2.2 Solution of problems involving dot and cross production of cross
  3. 2.3 Definition of operators
  4. 2.4 Definition of vector field
  5. 2.5 Solutions of problems involving vector fields
  6. 2.6 Definition of Gradient, Divergence and curl
  7. 2.7 Solutions of involving Gradient, Divergence and curl
  8. 2.8 Application of vectors
  9. 2.9 Green's, Gauss's and Stoke's theorem and their application Apply Matrix

3. Apply Matrix

  1. 3.1 Matrix operation
  2. 3.2 Determinant of 3x3 matrix
  3. 3.3 Inverse of 3x3 matrix
  4. 3.4 Solutions of linear simultaneous equations in three unknowns
  5. 3.5 Calculations of Eigen values and Eigen vectors
  6. 3.6 Application of matrices Apply concepts of probability in

4. Apply concept of probability for work

  1. 4.1 Probability
  2. 4.2 Expectation variance and S.D
  3. 4.3 Types of distributions
  4. 4.4 Mean, variance and S.D of probability distributions
  5. 4.5 Types of probability events
  6. 4.6 Counting techniques
  7. 4.7 Application of probability distributions S/No. Description/ Specifications Quantity Recommended Ratio (Item: Trainee) A

Revise this unit

Exam-style questions 56 Written to CDACC standard, with answers Test yourself 158 Multiple-choice, one at a time Practise questions 121 Quick recall — check you know the facts
3 more for this unit
Oral exam preparation 37 What the assessor asks, and how to answer out loud Worked calculations 29 Step-by-step maths with the common mistakes Quick cards 737 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 49 Where this skill earns — what to charge, how to find clients

Other units in Module III