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M1 Algebra, functions and equations PPLATO Link
M1.1 Arithmetic and algebra Maths for Science Brackets Fractions Factorising Algebraic Fractions
M1.2 Numbers, units and physical quantities Maths for Science Fractions Units Dimensional Analysis Converting Units
M1.3 Functions and graphs Maths for Science Functions Straight line graphs Quadratic function graphs Log-Log Plots
M1.4 Solving equations Maths for Science Simple Equations Inequalities Simultaneous Equations Quadratic Equations
M1.5 Exponential and logarithmic functions Maths for Science Powers Logarithms
M1.6 Trigonometric functions Maths for Science
M1.7 Series expansions and approximations Power Series Representation Fourier Series
M2 Vectors and geometry PPLATO Link
M2.1 Introducing geometry  
M2.2 Introducing coordinate geometry  
M2.3 Conic sections  
M2.4 Introducing scalars and vectors  
M2.5 Working with vectors  
M2.6 Scalar product of vectors Scalar Product
M2.7 Vector product of vectors Vector Product
M2.8 Matrices and Determinants Matrix Multiplication
M3 Complex numbers PPLATO Link
M3.1 Introducing complex numbers Complex Numbers
M3.2 Polar representation of complex numbers  
M3.3 Complex algebra and Demoivre's theorem  
M4 Differentiation PPLATO Link
M4.1 Intoducing differentiation Introductory Differentiation
M4.2 Basic differentiation  
M4.3 Further differentiation Product and Quotient Rules Chain Rule
M4.4 Stationary points and graph sketching Maxima and Minima
M4.5 Taylor expansions and polynomial approximations  
M4.6 Hyperbolic functions and differentiation  
M4.7 Differentiation of Vectors Gradients and Directional Derivatives Div and Curl 
M5 Integration PPLATO Link
M5.1 Introducing integration  
M5.2 Basic integration Definite Integration Indefinite Integration 
M5.3 Techniques of integration Integration by Parts Integration By Substitution 1
Integration By Substitution 2 Integration By Substitution 3 
M5.4 Applications of integration  
M5.5 Further integration Integration of Algebraic Fractions
Integration of Trigonometric Functions
M5.6 Integration of Vectors  
M6 Differential equations PPLATO Link
M6.1 Introducing differential equations  
M6.2 Solving first-order differential equations Direct Integration Separation of Variables Homogeneous Functions Integration Factor Method
M6.3 Solving second-order differential equations Second Order Homogeneous Differential Equations Second Order Inhomogeneous Differential Equations
M6.4 Waves and partial differential equations Waves Bernoulli  Equations Exact Equations
P1 Measurement PPLATO Link
P1.1 Introducing measurement  
P1.2 Errors and uncertainty  
P1.3 Graphs and measurements  
P2 Mechanics PPLATO Link
P2.1 Introducing motion  
P2.2 Projectile motion  
P2.3 Forces  
P2.4 Work and energy  
P2.5 Momentum and collisions  
P2.6 Circular motion  
P2.7 Rotational mechanics  
P2.8 Angular momentum  
P3 Fields PPLATO Link
P3.1 Introducing fields  
P3.2 Gravitation and orbits  
P3.3 Electric charge, field and potential  
P4 Electricity and magnetism PPLATO Link
P4.1 DC circuits and currents  
P4.2 Introducing magnetism  
P4.3 Electromagnetic force  
P4.4 Electromagnetic induction  
P4.5 Energy in electric and magnetic fields  
P5 Vibrations and waves PPLATO Link
P5.1 Simple harmonic motion  
P5.2 Energy, damping and resonance  
P5.3 Forced vibrations and resonance  
P5.4 AC circuits and electrical oscillations  
P5.5 The mathematics of oscillations  
P5.6 Introducing waves  
P5.7 Sound - a wave phenomenon  
P6 Light and optics PPLATO Link
P6.1 Light - a wave phenomenon  
P6.2 Rays and geometrical optics  
P6.3 Optical elements  
P6.4 Optical instruments  
P7 Heat and properties of matter PPLATO Link
P7.1 The atomic basis of matter  
P7.2 Temperature, pressure and the ideal gas law Pressure
P7.3 Internal energy, heat and energy transfer  
P7.4 Specific heat, latent heat and entropy Chemistry
P7.5 Kinetic theory Chemistry
P7.6 Mechanical properties of matter  
P8 Atoms and molecules PPLATO Link
P8.1 Introducing atoms  
P8.2 Atomic spectra and hydrogen  
P8.3 Multi-electron atoms  
P8.4 The periodic table and chemical bonding  
P9 Nuclei, particles and relativity PPLATO Link
P9.1 Introducing atomic nuclei  
P9.2 Radioactive decay  
P9.3 Fission, fusion and radiation hazards  
P10 Principles of quantum physics PPLATO Link
P10.1 A particle model for light Quantum Theory
P10.2 A wave model for matter Quantum Theory
P10.3 Wavefunctions Quantum Theory
P10.4 The Schrödinger equation  
P11 Applications of quantum physics PPLATO Link
P11.1 Reflection and transmission at steps and barriers  
P11.2 The quantum harmonic oscillator  
P11.3 The Schrödinger model of the hydrogen atom  
P11.4 Quantum physics of solids  

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