牛津 PAT 测试

Oxford PAT 是申请牛津大学物理、工程类专业所必须的入学笔试,考核内容为数学和物理知识。

易天教育的专项 PAT 辅导课程内容如下,详情请扫描侧栏二维码进行咨询。

Part A Mathematics

1. Series arithmetic & geometric sequences
method of difference
sequences defined by iteration
issues of convergence & divergence
2. Polynomial Functions sketching polynomial functions
reciprocal of polynomial functions
polynomial equations, zeroes and remainder
binomial expansion
absolute value functions
3. Trigonometry definitions for sine, cosine, tangent functions
symmetry, periodicity
sketching trigonometric functions
trigonometric identities
solving trigonometric equations
4. Exponential & Logarithmic Functions properties of exponential functions
properties of logarithmic functions
sketching exponential and logarithmic functions
solving exponential and logarithmic equations
5. Differentiation formal definition for derivatives
rules of differentiation
first derivatives & stationary points
second derivatives, concave & convex functions
higher derivatives, Taylor expansion
6. Integration formal definition for integrals
Newton-Leibniz formula
integration by parts
integration by substitution
differential equations
7. Geometry triangles (laws of sine, laws of cosine)
quadrilaterals & polygons
equations for circles
theorems related to circles
coordinate transformations
solving algebraic problems with geometry

Part B Physics

1. Classical Mechanics (Part I) kinematics
general linear motion (calculus based)
projectiles
circular motion
forces & motion
Newton’s laws of motion
equilibrium of rigid bodies
momentum, collision problems
springs
pulleys
work & energy
work-energy theorem (calculus based)
conservative forces & potential energies
conservation of energy
2. Classical Mechanics (Part II) gravitational fields
Newton’s law of gravitation
planetary motion in circular orbits
Kepler’s laws
simple harmonic motion
mass-spring oscillator
ideal pendulum
3. Thermal Physics states of matter
ideal gases
heat capacity & latent heat
4. Atomic & Nuclear Physics atomic structure
fundamental particles
nuclear decays
types of decay
decay laws
5. Electric Circuits Kirchhoff’s laws
resistors
Ohm’s law
resistor networks
capacitors
capacitance
capacitor networks
energy stored in capacitors
charging & discharging processes
thermistor, LDR, diode
6. Electromagnetism electric fields
Coulomb’s law
electric field due to point charges
uniform electric field
magnetic fields
magnetic fields due to electric currents
magnetic force on charged particles
magnetic force on current-carrying wires
electromagnetic induction
Faraday’s law & Lenz’s law
generators
transformers
7. Waves wave terminologies
superposition of waves
superposition principle (mathematical formulation)
interference
Young’s double-slit experiment
diffraction gratings
stationary waves
8. Optics reflection & refraction
Snell’s law
total internal reflection
electromagnetic spectrum