Mathematics For Science II

Science Laboratory Technology · Level 6  ·  9 Chapters

Compiled by: Kevin Rotich

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What Mathematics For Science II covers

In this unit, you will be able to confidently tackle a wide range of mathematical problems essential for science and technology careers, from performing precise arithmetic operations to solving complex equations. You’ll master working with sequences and series, analyze and interpret data effectively, and apply these skills to real-world situations with accuracy and clarity. By the end, you’ll have the tools to approach scientific challenges with confidence and precision, making you a valuable asset in any technical field.

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Careers after Mathematics For Science II

Mathematics for Science II gives you the quantitative toolkit that many Kenyan science-based workplaces rely on every day. Whether you end up in a lab, a farm, a factory or running your own service, the ability to handle numbers, analyse data and turn results into clear decisions is what keeps those operations running smoothly and safely.

  • County referral hospital laboratories - you calculate reagent dilutions, convert test results into clinically useful units, and use linear equations to verify instrument calibration, earning a salary as a laboratory technologist or as a contract analyst for health projects.
  • Pharmaceutical manufacturing units in Kiambu or Nairobi - you apply ratios, proportions and percentages to scale batch formulas, use arithmetic and geometric series to predict yield over production cycles, and present quality-control data in reports, earning wages as a production chemist or quality-assurance officer.
  • Agricultural extension offices in the Rift Valley - you analyse crop-yield data, use arithmetic sequences to plan fertilizer applications over planting seasons, and model pest population growth with geometric sequences, providing paid advisory services to farmers or working as a field data analyst.
  • Food-processing factories in Central Kenya - you determine ingredient proportions, compute cost-per-unit using percentages, and plot nonlinear temperature-time graphs to monitor cooking processes, earning a salary as a process technologist or as a freelance consultant for small-scale producers.
  • Environmental monitoring stations along the coast - you collect water-quality measurements, process raw data into trends, and use linear and logarithmic graphs to illustrate pollutant decay, earning income as a field technician or by selling compiled monitoring reports to NGOs and private developers.
  • University or private research laboratories - you solve simultaneous and quadratic equations to model reaction kinetics, linearise complex data sets for statistical analysis, and prepare publication-ready graphs, earning stipends as a research assistant or contract work for grant-funded projects.
  • Clinical chemistry labs in private clinics - you interpret serum-level graphs, calculate the geometric mean of repeated measurements, and present patient results in clear charts, earning a professional fee as a clinical technologist or by offering private testing services.
  • Industrial water-treatment plants in Mombasa - you use geometric series to predict contaminant removal over successive treatment stages, process flow-rate data, and generate performance dashboards for plant managers, earning a regular wage as a process engineer or as a freelance data-visualisation specialist.
  • Home-based tutoring or freelance data-analysis services - you teach secondary-school students how to solve equations and interpret graphs, and you help small businesses with budgeting, inventory forecasts and sales-trend charts, earning income from tutoring fees or project-based contracts.

Mastering these mathematical skills opens doors to reliable employment and entrepreneurial opportunities across Kenya’s science-driven sectors - so keep practicing, because every calculation you perfect brings you one step closer to a rewarding career.

Chapters

What Mathematics For Science II covers: 36 main topics in 9 chapters

1. Apply linear and non-linear graphs

  1. 1.1 Linear and nonlinear graphs
  2. 1.2 Reduction of non-linear to linear graphs
  3. 1.3 Interpretation of graphs

2. Apply indices and logarithms

  1. 2.1 Indices
  2. 2.2 Logarithms
  3. 2.3 Conversion of base of logarithms
  4. 2.4 Graphs of Logarithmic and exponential functions

3. Apply binomial expansions

  1. 3.1 Roots of numbers using binomial theorem
  2. 3.2 Errors of small changes using binomial theorem
  3. 3.3 Permutation and combination

4. Apply trigonometry

  1. 4.1 Pythagoras theorem
  2. 4.2 Trigonometric ratios
  3. 4.3 Angles of elevation and depression
  4. 4.4 Compound angle formula
  5. 4.5 Double angle formula
  6. 4.6 Sine and cosine waves

5. Apply differential calculus

  1. 5.1 Differential Calculus
  2. 5.2 Methods of differentiation
  3. 5.3 Derivatives of higher order functions
  4. 5.4 Applications of differentiation
  5. 5.5 Differentiation of inverse trigonometric functions

6. Apply integral calculus

  1. 6.1 Integral calculus
  2. 6.2 Methods of integration

7. Apply sequences and series

  1. 7.1 Arithmetic sequence
  2. 7.2 Sum of terms of arithmetic series (Arithmetic progression)
  3. 7.3 Geometric sequence
  4. 7.4 Finite geometric sequence
  5. 7.5 Geometric means and nth terms of a geometric sequence
  6. 7.6 Sum of finite and infinite geometric sequence

8. Apply statistics methods

  1. 8.1 Processing of raw data
  2. 8.2 Measures of dispersion
  3. 8.3 Interpretation of processed data

9. Apply matrices

  1. 9.1 Introduction to matrices
  2. 9.2 Determinant and inverse of 2x2 matrix
  3. 9.3 Solution of simultaneous equations in two unknowns using matrix method
  4. 9.4 Eigenvalues and Eigenvectors

Revise this unit

3 more for this unit

Beyond the syllabus

Other units in Module IV