• linear functions
• gradient of a straiht line
• y=mx + c
• sketching linear graphs
• simultaneous equations
• perpendicular lines
• find eqn of a straight line
• distance between 2 points
• mid-point
• linear modelling
• quadratic functions
• expanding
• factorising
• completing the square
• null factor law
• quadratic formula
• discriminant
• quadratic graphs
• cubic functions
• expanding
• long division
• polynomials
• remainder theorem
• factorising
• sum of 2 cubes
• difference of 2 cubes
• cubic equations
• cubic graphs
• max, min
• exponentials
• logarithms
• circular functions
• relations
• rates of change
• differentiation
• probability
• combinatorics

• set notation
• linear functions
• functions of xⁿ
• ^{polynomial functions}
• ^exponentials
• ^logarithms
• ^{circular functions}
• ^{differentiation}
• ^{transcendental functions}
• ^integration
• ^probability
• ^{binomial distribution}
• ^{continuous random variables}
• ^{normal distribution}

^SPECIALIST

• ^vectors
• ^{circular functions}
• ^{complex numbers}
• ^{differentiation}
• ^integration
• ^kinematics
• ^{vector functions}
• ^dynamics

• derivatives
• applications
• integration
• plane analytic geometry
• hyperbolic functions
• polar coordinates
• sequences & series
• power series
• vectors
• partial derivatives
• multiple integrals
• vector analysis
• differential equations

• ordinary DEs
• first-order DEs
• higher-order DEs
• Laplace transform
• Series solutions
• Numerical solutions
• vectors
• matrices
• Vector calculus
• Fourier series
• ortogonal functions
• boundary value problems
• complex analysis

• spectral analysis

• light

• reflecting light

• refracting light

• colours

• nuclear radiation

• astronomy

• telescopes

• medical diagnosis using waves & radioactivity

• nuclear energy

• analysing movement

• forces in action

• mechanical interactions

• current electricity

• circuit analysis

• electrical energy

• nature of stars

• cosmology

• aerospace

• energy alternatives

• forces in action

• collisions

• projectile motion

• circular motion

• electronics

• photonics

• relativiity

• special relativity

• general relativity

• materials

• light waves & particles

• matter particles  waves

• magnetism

• electricity

• power transmission

• synchrotron

• leds

• fibre-optic systems

• sound

• units & the SI system
• Kinematics in 2 dimensions
• Vectors
• Newton's three laws
• Gravitation
• Work & Energy
• Linear momentum
• Rotational motion
• Statics
• Elasticity, stress & strain
• pressure in fluids
• pacals principle
• buoyancy
• bernoulli's equation
• Viscousity
• Surface tension
• pumps
• Vibration & waves
• simple harmonic motion
• damped harmonic motion
• interference
• sound
• temerature & kinetic
• heat
• thermodynamics
• electric fields
• electric potential
• elctric currents
• dc circuits
• magnetism
• induction
• electromagnetic waves
• geometric optics
• wave nature of light
• optical instruments
• special relativity
• quantum mechanics
• molecules & solids
• nuclear physics
• elementary particles
• astrophysics

• atoms

• atomic number

• elements

• elements nomenclature

• ions

• isotopes

• periodic table 1

• quantities: moles

• metals

• non-metals

• water

• aqueous chemistry

• surfaces

• acids & bases

• gases

• the atmosphere

• redox reactions

• corrosion

• mass analysis
• acid-base analysis
• redox analysis
• instrumental analysis
• reaction rates (kinetics)
• equilibrium
• inorganic chemicals
• organic chemistry
• energy in reactions
• thermal energy
• galvanic cells
• electrolytic cells
• food chemistry
• periodic table 2

• animals
• plants
• micro-organisms
• communities
• living in water
• natural selection
• organs & systems
• control systems
• cells & molecules
• cell division
• reproduction
• heredity
• genes
• evolution
• human species

• cells & organisms
• maintenance of life
• adjustment & control
• response & coordination
• reproduction
• heredity
• molecular biology
• ecology & evolution

• homeostasis
• anatomy
• introructory biochemistry
• cells
• tissues
• membranes
• skin
• bones & cartilage
• skeleton
• joints
• muscles
• nervous system, CNS & PNS
• autonomic NS
• neural integration
• special senses
• endocrine system
• blood
• cardiovascular system
• lymphatic system
• immunity
• respiratory system
• digestive system
• nutrition
• urinary system
• fluids & electrolyes
• reproductive system

• water
• amino acids,
• peptides
• proteins
• enzymes
• carbohydrates
• nucleotides
• DNA information
• lipids
• membranes
• biosignals

METABOLISM

• bioenergetics
• glycolysis
• gluconeogenesis
• pentose phosphate pathway
• TCA cycle
• fatty acid catabolism
• oxidative phosporylation
• carbohydate biosynthesis
• regulation

• genes
• chromosomes
• dna metabolism
• rna metabolism
• protein metabolism
• regulation of gene expression

• basic toxicology
• chemical interations
• biochemical mechanisms
• subclellular mechanisms
• chemical-cellular interactions
• cell-cell-communication
• chemical-tissue interaction
• chemical-organ interactions