Mathematics For Science

Applied Biology · Level 6  ·  11 Chapters

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What Mathematics For Science covers

In this unit, you will be able to confidently handle a wide range of mathematical tasks essential for science and trade, from performing precise arithmetic operations to solving complex equations. You’ll master working with sequences, ratios, and data, enabling you to analyze and present information clearly and accurately. By the end, you’ll have the skills to tackle real-world problems with confidence and precision, making you a valuable asset in any technical field.

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Careers after Mathematics For Science

Mathematics for Science is a foundational skill that opens doors to a wide range of careers and opportunities across Kenya’s vibrant economy. Whether you dream of working in cutting-edge industries or running your own business, mastering these mathematical concepts will enable you to solve real-world problems, make informed decisions, and innovate confidently.

  • In the construction sector, including county works and private contractors, precise calculations using arithmetic and geometric sequences help in estimating materials, costs, and timelines for building roads, bridges, and housing projects.
  • The agribusiness industry, such as KTDA and smallholder farms, relies on ratios, percentages, and averages to analyze crop yields, manage fertilizer application, and optimize production for better profits.
  • Within the matatu industry, operators use these skills to calculate fares, fuel consumption, and maintenance schedules, ensuring efficient and profitable transport services.
  • In the Jua Kali sector, artisans and craftsmen apply arithmetic and geometric principles to design products, set prices, and manage inventory, turning their skills into sustainable businesses.
  • Employees at KenGen and other energy firms use these mathematical tools to analyze data, forecast energy production, and optimize resource allocation for Kenya’s growing power needs.
  • The hospitality industry depends on accurate percentage calculations and averages to manage bookings, pricing strategies, and customer satisfaction metrics, ensuring smooth operations and profitability.

Mastering Mathematics for Science equips you not only for employment but also empowers you to become an entrepreneur who can confidently manage finances, scale operations, and innovate solutions that contribute to Kenya’s development. Embrace these skills today and watch your future unfold with endless possibilities!

Chapters

What Mathematics For Science covers: 45 main topics in 11 chapters

1. Apply basic arithmetic operation

  1. 1.1 Addition and subtraction
  2. 1.2 Multiplication and division
  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
  2. 2.2 Solution of simultaneous equations
  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 Logarithmic and exponential functions

5. Apply sequences and series

  1. 5.1 Arithmetic sequence
  2. 5.2 Sum of terms of arithmetic series (Arithmetic progression)
  3. 5.3 Geometric sequence

6. Apply trigonometry

  1. 6.1 Pythagoras theorem
  2. 6.2 Trigonometric ratios

7. Apply binomial expansions

  1. 7.1 Roots of numbers using binomial theorem
  2. 7.2 Errors of small changes using binomial theorem
  3. 7.3 Permutation and combination

8. Apply matrices

  1. 8.1 Introduction to matrices
  2. 8.2 Types of matrices
  3. 8.3 Order of matrices
  4. 8.4 Matrix operation
  5. 8.5 Determinant and inverse of 2x2 matrix

9. Apply statistics methods

  1. 9.1 Collection of raw data
  2. 9.2 Data presentation
  3. 9.3 Processing of raw data
  4. 9.4 Measures of dispersion
  5. 9.5 Interpretation of processed data

10. Apply vectors

  1. 10.1 Vectors and scalar quantities in two dimensions
  2. 10.2 Definitions of vector and scalar quantities
  3. 10.3 Drawing a vector
  4. 10.4 Vector operations
  5. 10.5 Position of vectors
  6. 10.6 Modulus of a vector
  7. 10.7 Resolution of a vector

11. Apply calculus

  1. 11.1 Differential calculus
  2. 11.2 Methods of differentiation
  3. 11.3 Rates of change
  4. 11.4 Differential equations
  5. 11.5 Integral calculus

Revise this unit

3 more for this unit

Beyond the syllabus

Other units in Module I