Engineering Mathematics II

Biomedical Engineering · 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 mathematical challenges essential for engineering, from solving complex equations and performing precise calculations with indices, logarithms, and trigonometric functions, to accurately measuring areas, volumes, and perimeters of various shapes. By mastering these skills, you’ll be equipped to apply mathematical concepts effectively in real-world engineering problems, paving the way for success in your trade and beyond. Keep going—you’re building a strong foundation that will support your growth and achievements in the field!

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Careers after Engineering Mathematics II

Understanding and mastering Engineering Mathematics II opens doors to a wide range of practical and rewarding career opportunities in Kenya’s dynamic industries. The skills you acquire here are foundational for solving real-world problems, optimizing processes, and innovating solutions that drive Kenya’s development forward.

  • In the construction sector, whether working on county government road projects or private building sites, you’ll use indices, logarithms, and geometry to calculate materials needed, costs, and structural dimensions accurately.
  • The jua kali sector benefits from these skills when fabricators and artisans design and build tools or machinery parts, ensuring precision and efficiency in their work.
  • In agribusiness companies like KTDA, mathematical skills help in optimizing resource allocation, calculating yields, and managing finances effectively.
  • The matatu industry relies on mathematical calculations for route optimization, fuel consumption analysis, and financial record-keeping.
  • At KenGen and other energy firms, engineers use these skills to model electrical systems, analyze data, and solve complex equations to maintain and improve power generation.
  • Skilled individuals can pursue self-employment by offering consultancy services, tutoring, or starting workshops that require precise measurement and calculation skills.
  • Mastering these mathematical concepts enhances your problem-solving abilities, making you a valuable asset in any technical or engineering role, and positions you for upward mobility and entrepreneurship.

Embrace these skills—they are the tools that will empower you to build a successful, impactful career in Kenya’s growing economy.

Chapters

What Engineering Mathematics II covers: 25 main topics in 4 chapters

1. Apply statistics and probability

  1. 1.1 Measures of central tendency mean, mode and probability and median
  2. 1.2 Measures of dispersion
  3. 1.3 Variance and standard deviation
  4. 1.4 Definition of probability . Third Party
  5. 1.5 Laws of probability
  6. 1.6 Expectation variance and SD
  7. 1.7 Calculations involving discrete and continuous random variables
  8. 1.8 Types of distributions
  9. 1.9 Mean, variance and SD of probability distributions
  10. 1.10 Application of probability distributions

2. Apply matrices

  1. 2.1 Introduction to matrices
  2. 2.2 Matrix Multiplication
  3. 2.3 Determinants and Inverses
  4. 2.4 Solving Systems of Linear Equations
  5. 2.5 Using the inverse determinant method to solve linear systems

3. Apply vector theorem

  1. 3.1 Vectors and scalar in two and three dimensions
  2. 3.2 Operations on vectors: Addition and subtraction
  3. 3.3 Position vectors
  4. 3.4 Resolution of vectors
  5. 3.5 Scalar and vector product

4. Carry out binomial expansion

  1. 4.1 Basic concepts of binomial theorem
  2. 4.2 Binomial Expansion
  3. 4.3 Applications of Binomial Expansion
  4. 4.4 Engineering Applications
  5. 4.5 Estimating values in engineering calculations

Revise this unit

3 more for this unit

Beyond the syllabus

Other units in Module II