Engineering Mathematics II

Refrigeration And Air Conditioning · Level 6  ·  4 Chapters

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Careers after Engineering Mathematics II

Engineering Mathematics II equips you with essential problem-solving and analytical skills that are highly valued across Kenya’s diverse engineering and technical sectors. Mastery of these mathematical concepts will empower you to tackle real-world challenges confidently, whether you’re working in established industries or starting your own venture.

  • In Kenya’s construction sites and county works departments, precise calculations involving ratios, proportions, and simultaneous equations are crucial for designing stable structures, managing materials, and budgeting projects effectively.
  • The jua kali sector, especially artisans working on metal fabrication or electrical installations, relies on accurate use of logarithms and indices to optimize measurements and power calculations, ensuring quality workmanship and customer satisfaction.
  • Companies like KenGen and the agribusiness sector (including KTDA) utilize coordinate geometry and graphing skills to analyze data related to energy production, irrigation systems, and crop yield optimization, enhancing productivity and sustainability.
  • The matatu industry and hospitality sector benefit from these skills in scheduling, route optimization, and financial management, helping entrepreneurs maximize profits and improve service delivery.
  • Skilled application of scientific calculators and quadratic equations opens doors to employment in engineering firms, manufacturing plants, and research institutions, where precision and efficiency are key.
  • Beyond employment, mastering these mathematical skills empowers you to innovate and create your own business solutions, from designing efficient irrigation layouts for small-scale farms to developing cost-effective building plans for local housing projects.

By mastering Engineering Mathematics II, you are building a strong foundation that will open doors to rewarding careers and entrepreneurial success, making you a valuable asset in Kenya’s growing economy. Keep pushing forward — your skills today will shape the infrastructure and industries of tomorrow!

Chapters

What Engineering Mathematics II covers: 28 main topics in 4 chapters

1. Apply Matrix

  1. 1.1 Matrix operation
  2. 1.2 Determinant of 2x2 matrix
  3. 1.3 Inverse of 2x2 matrix
  4. 1.4 Solutions of linear simultaneous equations in 2 unknowns
  5. 1.5 Determinant of 3x3 matrix
  6. 1.6 Inverse of 3x3 matrix
  7. 1.7 Solutions of linear simultaneous equations in 3 unknowns
  8. 1.8 Application of matrices

2. Apply Vectors

  1. 2.1 Definition of dot and cross product of vectors
  2. 2.2 Problems involving dot and cross production
  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

3. Apply Calculus 1(Differentiation)

  1. 3.1 Introduction to differentiation
  2. 3.2 Some applications of differentiation
  3. 3.3 Differentiation of parametric equations
  4. 3.4 Differentiation of implicit functions
  5. 3.5 Logarithmic differentiation
  6. 3.6 Total differential, rates of change and small changes
  7. 3.7 Maxima, minima and saddle points for functions of two variables

4. Apply Calculus 2(Integration)

  1. 4.1 Application of Integration
  2. 4.2 Application of Integration using algebraic substitution
  3. 4.3 Integration using trigonometric substitution
  4. 4.4 Integration by parts
  5. 4.5 Application of Reduction formulae S/No. Quantity Recommended Ratio (Item: Trainee) A Textbooks Comprehensive texts on motors. 5 pieces 1:5 PowerPoint Presentations For trainer's use, covering course content and practical applications 1:25 Dice To demonstrate probability functions 5 pieces 1:5 Computers with internet connection B & Infrastructure Lecture/Theory Room Equipped with projectors and seating for 25 trainees, ~60 sqm 1:25 Computer Laboratory Equipped with internet access 1:5 C Consumabl

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Beyond the syllabus

Other units in Module VI