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Download UCL Undergraduate Preparatory Certificate in Science and Engineering Physics syllabus
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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
