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Maths for Chemists - Home

Mathematical Foundations

  • Addition, Subtraction, Multiplication and Division
  • Mathematical Notation, Symbols and Operators
  • Fractions
  • Percentages
  • Rounding, Significant Figures and Decimal Places
  • Equations and Functions
  • Graphs

Algebra

  • Powers
  • Rearranging Equations
  • Physical Quantities, Units, and Conversions
  • Exponentials
  • Logarithms
  • Rearranging Exponentials and Logarithms
  • Simultaneous Equations
  • Quadratics
  • Solving Quadratic Equations

Geometry and Trigonometry

  • Geometry
  • Trigonometry
  • Polar Coordinates

Differentiation

  • Introduction to Differentiation
  • Differentiating Polynomials
  • Differentiating Trigonometric Functions
  • Differentiating Exponential and Logarithmic Functions
  • Differentiating a Sum
  • Product Rule
  • Quotient Rule
  • Chain Rule
  • Stationary Points
  • Partial Differentiation

Integration

  • Introduction to Integration
  • Integrating Polynomials
  • Integrating Exponentials
  • Integrating Trigonometric Functions
  • Finding the Constant of Integration
  • Integration with Limits
  • Separating the Variables

Vectors

  • Introduction to Vectors
  • Operations with Vectors

Complex Numbers

  • Imaginary Numbers
  • Complex Numbers
  • Arithmetic of Complex Numbers

Matrices

  • What is a Matrix?
  • Matrix Algebra
  • The Identity Matrix, Determinant and Inverse of a Matrix

Appendices

  • Glossary

Index

A | D | M | P | R | S

A

  • Argand diagram

D

  • dimensional analysis

M

  • machine precision
  • matrix diagonal

P

  • perpendicular

R

  • real numbers
  • Reimann sum

S

  • symmteric matrix

By Python in Chemistry

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