"Introduction to Contextual Maths in Chemistry" by Fiona Dickinson and Andrew McKinley is a textbook designed for undergraduate students that connects fundamental mathematics directly to chemical concepts such as thermodynamics, kinetics, and molecular structures. It emphasizes a "chemistry-first" approach to enhance understanding and confidence, covering topics from data representation to calculus. A comprehensive preview of the text is available through Google Books.
Index | Introduction to Contextual Maths in Chemistry - Books
Introduction to Contextual Maths in Chemistry is a textbook in the Chemistry Student Guides series published by the Royal Society of Chemistry. Written by Fiona Dickinson and Andrew McKinley, it is designed for students who struggle to bridge the gap between abstract school mathematics and its practical application in chemistry. Core Philosophy
The book adopts a "chemistry-first" approach, linking mathematical tools directly to recognizable chemical phenomena rather than teaching them in isolation. This helps students build confidence by seeing "maths in action" through worked examples and problems grounded in chemical contexts. Key Topics Covered
The text progresses from foundational data handling to advanced calculus used in physical and computational chemistry:
Data Representation: Presenting and analyzing experimental data using tables and graphs.
Molecular Geometry: Using trigonometry and coordinate systems to describe molecular positions.
Structure and Direction: Applying vectors to understand crystal structures and directional properties. Introduction to Contextual Maths in Chemistry .pdf
Rates of Change (Calculus 1): Using differentiation to determine mean speeds and equilibrium separations.
Reaction Dynamics (Calculus 2): Applying integration to solve for reaction kinetics and rate laws.
Quantum Mechanics: Introducing complex numbers to solve the Schrödinger equation and understand quantum wave functions. Access and Publication Details Publisher: Royal Society of Chemistry (2021).
Format: Available as a physical book, eTextbook, and through digital platforms like Perlego and VitalSource.
Identifiers: ISBN 978-1-78801-425-0 (Print); 978-1-83916-193-3 (eBook).
Introduction to Contextual Maths in Chemistry | Books Gateway
Introduction to Contextual Maths in Chemistry "Introduction to Contextual Maths in Chemistry" by Fiona
Chemistry is a quantitative science that relies heavily on mathematical concepts to describe and analyze the behavior of matter. Mathematical tools and techniques are essential for chemists to understand and predict the properties and reactions of substances. In this context, maths is not just a separate subject, but an integral part of chemistry, allowing us to model, analyze, and interpret chemical phenomena.
Why Contextual Maths?
Traditional maths courses often focus on abstract concepts and problem-solving techniques, without showing their relevance to real-world applications. In contrast, contextual maths in chemistry aims to present mathematical concepts in a way that is directly related to chemical problems and examples. By learning maths in context, students can develop a deeper understanding of both mathematical principles and chemical concepts, and appreciate the powerful role of maths in chemistry.
Key Features of Contextual Maths in Chemistry
Benefits of Contextual Maths in Chemistry
Course Outline
This course will cover a range of mathematical concepts, including: Benefits of Contextual Maths in Chemistry
These concepts will be introduced and developed using chemical examples and case studies, and will be applied to solve chemical problems and address real-world challenges.
Contextual mathematics connects abstract mathematical tools to physical chemistry problems by emphasizing units, significant figures, and practical application over raw calculation. Key pillars include dimensional analysis, logarithms for pH, and rearranging algebraic equations like the Ideal Gas Law to solve for real-world scenarios.
| Pitfall | Why it happens | Fix |
|---------|----------------|-----|
| Forgetting to square concentration in equilibrium | Misreading ( K_c = [C]^2/[A][B] ) | Write formula before substituting |
| Using log₁₀ vs ln | pH uses log₁₀; Arrhenius uses ln | Check derivation: if equation has 2.303, it’s log₁₀ |
| Ignoring units on ( R ) | Gas constant has many forms | Always write ( R = ... ) with units first |
| Extrapolating calibration curve beyond data | Assumes linearity continues | Never go >20% beyond last standard |
| Reporting pH to 0.001 when [H⁺] has 2 sig figs | Overprecision | pH sig figs: only digits after decimal matter |
Context: Find volume of 0.50 mol gas at 298 K, 1.00 bar.
Maths: ( V = nRT/P ) with ( R = 0.08314 \text L·bar·mol^-1\textK^-1 ).
( V = (0.50)(0.08314)(298)/1.00 = 12.4 ) L.
Contextual note: Using the right R avoids converting bar→Pa→m³→L.
Avogadro’s number ( N_A = 6.022 \times 10^23 ) links atomic-scale mass to lab-scale measurements.
[
\textNumber of molecules = n \times N_A
]
