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Mathematics For Science

Analytical Chemistry Technology · Level 6  ·  11 Chapters

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What Mathematics For Science covers

In this unit, you will be able to confidently use mathematical operations and algebraic rules to solve real-world problems in science and technology. You will master working with sequences, ratios, and data to analyze and present information clearly, helping you make informed decisions in your trade. By the end, you’ll be equipped to tackle equations and interpret data with accuracy, empowering you to excel in practical tasks and advance your skills in your chosen field.

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Careers after Mathematics For Science

Mathematics for Science is a foundational skill that opens doors to numerous career paths and everyday problem-solving in Kenya’s vibrant economy. Mastering these mathematical concepts equips you to analyze data, solve complex problems, and make informed decisions—abilities highly valued across multiple sectors.

  • In Kenya’s construction industry, whether working on county infrastructure projects or private developments, you’ll use sequences and series to estimate material quantities, costs, and timelines accurately.
  • The Jua Kali sector benefits from mathematical skills when artisans calculate measurements, costs, and production schedules to optimize their craft and earnings.
  • At KenGen and other energy companies, engineers apply these mathematical principles to model power generation patterns and optimize resource use.
  • In the matatu industry, operators and managers use ratios and percentages to manage fuel consumption, fare pricing, and profit margins effectively.
  • The agribusiness sector, including companies like KTDA, relies on these skills to analyze crop yields, forecast production, and manage supply chains efficiently.
  • In hospitality and tourism, calculating percentages and averages helps managers handle budgeting, pricing strategies, and customer data analysis to improve service delivery.

By mastering Mathematics for Science, you position yourself not only for employment in these dynamic sectors but also for entrepreneurship—starting your own business with confidence in managing finances and operations. Your ability to think critically and quantitatively will make you a valuable asset, driving innovation and growth in Kenya’s economy.

Keep pushing forward—these skills are your stepping stones to a successful and impactful career!

Chapters

1
Apply Basic arithmetic operations
14 topics
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2
Apply Algebraic equation and expression
10 topics
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3
Apply linear and non-linear graphs
3 topics
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4
Apply indices and logarithms
9 topics
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5
Apply Binomial expansions
7 topics
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6
Apply matrices
15 topics
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7
Apply vectors
10 topics
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8
Apply trigonometry
9 topics
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9
Apply calculus
28 topics
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10
Apply sequences and series
8 topics
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11
Apply statistics methods
20 topics
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What Mathematics For Science covers: 50 main topics in 11 chapters

1. Apply Basic arithmetic operations

  1. 1.1 Addition and subtraction on; arithmetic
  2. 1.2 Multiplication and division on;
  3. 1.3 Rational and irrational numbers
  4. 1.4 Ratios, proportions and percentages

2. Apply Algebraic equation and expression

  1. 2.1 Solution of linear equations algebraic
  2. 2.2 Solution of simultaneous
  3. 2.3 Transposition of formula
  4. 2.4 Solution of quadratic equations

3. Apply linear and non-linear graphs

  1. 3.1 Linear and nonlinear graphs
  2. 3.2 Reduction of non-linear to linear graphs
  3. 3.3 Interpretation of graphs

4. Apply indices and logarithms

  1. 4.1 Indices
  2. 4.2 Logarithms
  3. 4.3 Conversion of base of logarithms
  4. 4.4 Graphs of Logarithmic and exponential functions

5. Apply Binomial expansions

  1. 5.1 Roots of numbers using binomial theorem
  2. 5.2 Errors of small changes using binomial theorem
  3. 5.3 Permutation and combination

6. Apply matrices

  1. 6.1 Introduction to matrices
  2. 6.2 Determinant and inverse of 2x2 matrix
  3. 6.3 Solution of simultaneous equations in two unknowns using matrix method
  4. 6.4 Eigenvalues and Eigenvectors

7. Apply vectors

  1. 7.1 Vectors and scalar quantities in two dimensions
  2. 7.2 Vector operations
  3. 7.3 Position of vectors
  4. 7.4 Resolution of a vector

8. Apply trigonometry

  1. 8.1 Pythagoras theorem
  2. 8.2 Trigonometric ratios
  3. 8.3 Angles of elevation and depression
  4. 8.4 Compound angle formula
  5. 8.5 Sine and cosine waves

9. Apply calculus

  1. 9.1 Differential Calculus
  2. 9.2 Methods of differentiation
  3. 9.3 Derivatives of higher order functions
  4. 9.4 Applications of differentiation
  5. 9.5 Differentiation of inverse trigonometric functions
  6. 9.6 Integral calculus
  7. 9.7 Standard integration
  8. 9.8 Methods of integration
  9. 9.9 Integration of logarithmic functions

10. Apply sequences and series

  1. 10.1 Arithmetic sequence
  2. 10.2 Sum of terms of arithmetic series (Arithmetic progression)
  3. 10.3 Geometric sequence
  4. 10.4 Finite geometric sequence
  5. 10.5 Geometric means and nth terms of a geometric sequence
  6. 10.6 Sum of finite and infinite geometric sequence

11. Apply statistics methods

  1. 11.1 Collection of raw data
  2. 11.2 Data presentation
  3. 11.3 Processing of raw data
  4. 11.4 Interpretation of processed data

Revise this unit

Exam-style questions 112 Written to CDACC standard, with answers Test yourself 306 Multiple-choice, one at a time Practise questions 235 Quick recall — check you know the facts
3 more for this unit
Oral exam preparation 72 What the assessor asks, and how to answer out loud Worked calculations 57 Step-by-step maths with the common mistakes Quick cards 1,502 Myth busters, skill tips and scenarios

Beyond the syllabus

Decision simulator 8 On site, what would you do? Workplace scenarios 161 Real site situations — what would you do? Turn this into income 96 Where this skill earns — what to charge, how to find clients

Other units in Module II