Download UCL Undergraduate Preparatory Certificate in Science and Engineering Physics syllabus

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Transcript
UCL CENTRE FOR LANGUAGES
& INTERNATIONAL EDUCATION
UCL Undergraduate Preparatory Certificate in Science and Engineering
Physics syllabus
UNIT 1 – MATHEMATICAL PRELIMINARIES FOR THE PHYSICS COURSE
1.1 Introduction to Physics
SI units and dimensional analysis
Uncertainties in Experimental Physics
1.2 Mathematical Preliminaries
Error Analysis
Vectors and scalars
Introduction to calculus for physics
Differentiation and integration
UNIT 2 – KINEMATICS AND MECHANICS OF MATERIAL BODIES
2.1 Kinematics
Average/instantaneous kinematics quantities
Projectile motion and equation of trajectory
2.2 Newton’s Laws
Forces and interactions
Newton’s laws and applications
Frictional forces, torque and statics
2.3 Conservation Principles
Work-Kinetic Energy theorem
Linear momentum and impulse
Elastic and inelastic collisions
2.4 Rotational Dynamics
Polar coordinates and circular motion
Angular momentum, moment of inertia
UNIT 3 – OSCILLATORY PHENOMENA, WAVES AND OPTICS
3.1 Simple Harmonic Motion
Oscillatory differential equations
Energy in simple harmonic motion
Damped and forced oscillations – resonance
3.2 Introduction to Waves
Wave propagation and the sinusoidal model
Standing waves
3.3 Mechanical Waves
Examples of mechanical waves
Waves in strings and air columns
Modes of vibration
3.4 Wave Optics
Interference
Diffraction
Reflection and refraction
UNIT 4 – MODERN PHYSICS
4.1 Special Theory of Relativity
Postulates of special relativity
Time dilation and length contraction
Mass and energy in special relativity
4.2 Quantum and Atomic Physics
The photoelectric effect
Wave particle duality
Heisenberg’s uncertainty principle
Bohr’s model of the hydrogen atom
Atomic energy levels, emission spectra
4.3 Molecular Physics
Molecular bonding mechanisms
Lennard-Jones potential
4.4 Solid State Physics
Bonding in solids
Semiconductor physics and applications
4.5 Nuclear Physics
Nuclear structure and binding energy
Fission and fusion reactions
Applications of nuclear physics
5.1 Forces and Fields
UNIT 5 – ELECTRICITY AND MAGNETISM
Conservative forces
Potential energy of interaction
5.2 Direct Current Electricity
Microscopic description of electrical
conduction
Electric resistance and Kirchhoff’s laws
5.3 Capacitance and the RC Circuit
Capacitance and capacitors
Charge and discharge of a capacitor
5.4 Magnetism and Electromagnetic
Induction
Lorentz Force
Magnetic fields and magnetic field lines
Faraday’s and Lenz’s laws of induction
5.5 Inductance and the RL Circuit
Inductance of a solenoid
Energy stored in a magnetic field
5.6 Alternating Currents
Sinusoidal signals and impedance
Oscillations in electrical circuits
6.1 Thermal Physics
UNIT 6 – THERMAL PHYSICS
Temperature and heat capacity
Phase transitions and latent heat
6.2 Gas Laws
Thermodynamic variables
The ideal gas equation
6.3 Kinetic Theory of Gases
Microscopic description of ideal gases
Kinetic energy and absolute temperature
6.4 Heat Transfer Mechanisms
Conduction, convection, and blackbody
radiation
Stefan’s and Wien’s law