Engineering Mathematics III

Industrial Control and Installation · Level 6  ·  4 Chapters

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Careers after Engineering Mathematics III

Understanding Engineering Mathematics III opens doors to numerous practical and rewarding opportunities across Kenya’s vibrant industries. Mastering differentiation, integration, and differential equations equips you with essential problem-solving tools that are highly sought after in technical and engineering roles nationwide.

  • In the construction sector, especially within county works and large firms like Kenya Urban Roads Authority (KURA), your skills help in designing stable structures, calculating load stresses, and optimizing material use.
  • The Jua Kali industry benefits from your ability to model and improve mechanical systems, enhancing efficiency in metal fabrication and machine maintenance.
  • At KenGen and other energy firms, you’ll apply these mathematical concepts to monitor and optimize power generation, predict system behaviors, and improve renewable energy technologies.
  • The matatu industry relies on engineers who can analyze vehicle dynamics and fuel efficiency, ensuring safer and more economical transport solutions.
  • In agribusiness, companies like KTDA use these skills to optimize irrigation systems, model crop growth rates, and improve processing machinery.
  • The hospitality sector, especially in large hotel chains, employs engineers who understand these calculations to maintain HVAC systems and ensure energy efficiency.
  • Beyond employment, these skills empower you to become an entrepreneur, developing innovative mechanical or electrical products, offering consultancy services, or starting your own workshop within Kenya’s thriving SME landscape.

Mastering Engineering Mathematics III is not just about numbers—it’s your key to unlocking a future where you design, innovate, and lead Kenya’s development. Keep pushing forward; your expertise will shape the nation’s infrastructure and industries for years to come!

Chapters

What Engineering Mathematics III covers: 33 main topics in 4 chapters

1. Apply Calculus

  1. 1.1 Meaning of derivatives of a function
  2. 1.2 Differentiation from first principle i.e sin x, cos x, x" and ln x
  3. 1.3 Tables of some common derivatives
  4. 1.4 Rules of differentiation i.e. product, chain, quotient, sum, implicit
  5. 1.5 Rate of change and small change
  6. 1.6 Derivative of inverse functions
  7. 1.7 Stationery points of functions of two variables
  8. 1.8 Meaning of integration
  9. 1.9 Indefinite and definite integral
  10. 1.10 Methods of integration, application of integration i.e., Integration by parts, Substitution, polynomials, inverse functions
  11. 1.11 Integrals of hyperbolic and inverse functions

2. Solve Ordinary differential equations

  1. 2.1 Types of first order differential equations
  2. 2.2 Formation of first order differential equation
  3. 2.3 Solution of first order differential equations
  4. 2.4 Application of first order differential equations
  5. 2.5 Formation of second order differential equations for various systems
  6. 2.6 Solution of second order differential equations
  7. 2.7 Application of second order differential equations

3. Apply Laplace transforms

  1. 3.1 Meaning of Laplace transforms
  2. 3.2 Deriving Laplace transforms from first principles
  3. 3.3 State properties of Laplace transform
  4. 3.4 Determination of inverse LT of simple transforms and partial fractions
  5. 3.5 Solution of differential equation by LT
  6. 3.6 Solution of simultaneous differential equation by given initial conditions

4. Perform commercial calculations

  1. 4.1 Product pricing
  2. 4.2 Average sales determination
  3. 4.3 Stock turnover
  4. 4.4 Calculation of incomes
  5. 4.5 Profit and loss calculations
  6. 4.6 Salaries
  7. 4.7 Wages
  8. 4.8 Conversion of one currency to another
  9. 4.9 Exchange rates calculation

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Beyond the syllabus

Other units in Module IV