ENGINEERING LEARNING CENTER

A Level – Math Cambridge

A Level Math

Cambridge

Course Description :

Units and measurements; brief review of vectors; Newton’s laws of motion; projectile motion; work and energy; impulse and momentum; rotational dynamics; equilibrium of a rigid body; periodic motion.

Duration :

16 Weeks

Mode of Delivery :

Interactive Live Online Sessions

Lectures :

Number of Lectures Per Month : 12 Lectures (Including Revision Classes for Midterm and Final Exams)

Per Month

Total Classes

12

Price Per Month

Group Classes

50

BD

Price Per Month

Private

70

BD


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Module Learning Outcomes

By the end of this course, students should be able to


Circular Motion


  • Describing circular motion.
  • Angles in radians.
  • Steady speed, changing velocity.
  • Angular velocity.
  • Centripetal forces.
  • Calculating acceleration and force.
  • The origins of centripetal forces.


  • Representing a gravitational field.
  • Gravitational field strength ‘g’.
  • Energy in a gravitational field.
  • Gravitational potential.
  • Orbiting under gravity.
  • The orbital period.
  • Orbiting the Earth.


  •  Free and forced oscillations.
  • Observing oscillations.
  • Describing oscillations.
  • Simple harmonic motion.
  • Representing s.h.m. graphically.
  • Frequency and angular frequency.
  • Equations of s.h.m.
  • Energy changes in s.h.m.
  • Damped oscillations.
  • Resonance.


  •  Radio waves.
  • Analogue and digital signals.
  • Channels of communication.
  • Comparison of different channels.


  • Changes of state.
  • Energy changes.
  • Internal energy.
  • The meaning of temperature.
  • Thermometers.
  • Calculating energy changes.


  • Particles of a gas.
  • Explaining pressure.
  • Measuring gases.
  • Boyle’s law.
  • Changing temperature.
  • Ideal gas equation.
  • Modelling gases – the kinetic model.
  • Temperature and molecular kinetic energy.


  • Electric fields.
  • Coulomb’s law.
  • Electric field strength for a radial field.
  • Electric potential.
  • Comparing gravitational and electric fields.


  • Capacitors in use.
  • Energy stored in a capacitor.
  • Capacitors in parallel.
  • Capacitors in series.
  • Comparing capacitors and resistors.
  • Capacitor networks.


  •  Components of an electronic sensing system.
  • The operational amplifier (op-amp).
  • The inverting amplifier.
  • The non-inverting amplifier.
  • Output devices.




  • Calculate anti-derivatives of basic functions.
  • Solve real-life problems involving anti-derivatives, such as those in physics.


  • Producing and representing magnetic fields.
  • Magnetic force.
  • Magnetic flux density.
  • Measuring magnetic flux density.
  • Currents crossing fields.
  • Forces between currents.
  • Relating SI units.
  • Comparing forces in magnetic, electric and gravitational fields.


  • Observing the force.
  • Orbiting charges.
  • Electric and magnetic fields.
  • The Hall effect.
  • Discovering the electron.


  • Observing induction.
  • Explaining electromagnetic induction.
  • Faraday’s law of electromagnetic induction.
  • Lenz’s law.
  • Using induction: eddy currents, generators and transformers.


  •  Sinusoidal current.
  • Alternating voltages.
  • Power and a.c.
  • Why use a.c. for electricity supply.
  • Transformers.
  • Rectification.


  •  Modelling with particles and waves.
  • Particulate nature of light.
  • The photoelectric effect.
  • Line spectra.
  • Explaining the origin of line spectra.
  • Photon energies.
  • Electron energies in solids.
  • The nature of light – waves or particles.
  • Electron waves


  • Balanced equations.
  • Mass and energy.
  • Energy released in radioactive decay.
  • Binding energy and stability.
  • Randomness and decay.
  • The mathematics of radioactive decay.
  • Decay graphs and equations.
  • Decay constant and half-life.


  •  Modelling with particles and waves.
  • Particulate nature of light.
  • The photoelectric effect.
  • Line spectra.
  • Explaining the origin of line spectra.
  • Photon energies.
  • Electron energies in solids.
  • The nature of light – waves or particles.
  • Electron waves


  • Planning.
  • Analysis of the data.
  • Treatment of uncertainties.
  • Conclusions and evaluation of results.



Course Outline


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