Engineering Mathematics I

Biomedical Engineering · Level 5  ·  5 Chapters

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What Engineering Mathematics I covers

Engineering Mathematics I in Biomedical Engineering Level 5 builds the algebra, mensuration and trigonometry that later circuit work needs. You start with algebra: indices and logarithms following their laws, linear and quadratic equations, simultaneous equations, fractions and decimals. Mensuration covers the perimeter and area of regular figures, the area of irregular figures, and the volume and surface area of solids. Number systems and arithmetic operations on integers come next, followed by trigonometric ratios, functions, identities and equations, including trigonometry in triangles. The unit closes with hyperbolic functions, their identities, equations and engineering applications.

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Careers after Engineering Mathematics I

Engineering Mathematics I equips you with essential problem-solving and calculation skills that are the backbone of many technical and engineering roles across Kenya. Mastering these concepts opens doors to dynamic careers where precision and analytical thinking drive success.

  • In the construction industry, whether working on county government infrastructure projects or private building sites, you’ll use these skills to calculate material quantities, structural dimensions, and costs, ensuring projects are safe, efficient, and within budget.
  • The Jua Kali sector relies heavily on precise measurements and calculations for fabricating metalworks, carpentry, and repairs; your ability to solve equations and work with volumes and areas will make you a sought-after artisan or workshop owner.
  • In KenGen and other energy companies, engineers use advanced mathematics daily to design and maintain power generation equipment, optimize systems, and analyze data, providing you with opportunities in the growing energy sector.
  • The matatu industry benefits from mathematical skills in route planning, fuel consumption calculations, and vehicle maintenance schedules, enabling entrepreneurial drivers and fleet managers to maximize profits.
  • Agribusinesses like KTDA apply these mathematical principles to optimize land use, calculate fertilizer requirements, and manage crop yields, making your expertise valuable for agronomists and farm managers.
  • Hospitality businesses use these calculations for space planning, resource allocation, and cost management, offering roles in facility management and operations.
  • With these skills, you can also start your own business offering services such as construction consultancy, fabrication workshops, or agricultural planning, turning your knowledge into income and community impact.

Mastering Engineering Mathematics I sets a strong foundation for a rewarding career in Kenya’s vibrant technical sectors—your journey to becoming a skilled, confident professional starts here!

Chapters

What Engineering Mathematics I covers: 29 main topics in 5 chapters

1. Apply algebra

  1. 1.1 Importance of algebra in engineering
  2. 1.2 Indices and logarithms
  3. 1.3 Linear Equations
  4. 1.4 Quadratic Equations
  5. 1.5 Algebraic functions and graph

2. Carry out mensuration

  1. 2.1 Basic Concepts of mensuration
  2. 2.2 Plane Geometry
  3. 2.3 Solid Geometry
  4. 2.4 Frustums of Cones and Pyramids.
  5. 2.5 Sector and Segment of a Circle
  6. 2.6 Engineering applications

3. Apply number systems

  1. 3.1 Types of numbers
  2. 3.2 Factors
  3. 3.3 Divisibility Test
  4. 3.4 LCM
  5. 3.5 Integers
  6. 3.6 Fractions
  7. 3.7 Decimals
  8. 3.8 Arithmetic operation
  9. 3.9 Squares and square roots

4. Apply trigonometric functions

  1. 4.1 Importance of trigonometry in engineering.
  2. 4.2 Trigonometric Ratios and Functions
  3. 4.3 Trigonometric Identities
  4. 4.4 Solving Trigonometric Equations
  5. 4.5 Trigonometry in Triangles

5. Apply hyperbolic functions

  1. 5.1 Introduction to Hyperbolic Functions
  2. 5.2 Hyperbolic Identities
  3. 5.3 Solving Hyperbolic Equations
  4. 5.4 Applications of Hyperbolic Functions in Engineering

Revise this unit

3 more for this unit

Beyond the syllabus

Other units in Module I