| | Motion in One Dimension, Vectors, Motion in Two
Dimensions, The Laws of Motion, Circular Motion and
Other Applications of Newton’s Laws, Work and Kinetic
Energy, Potential Energy and Conservation of Energy,
Linear Momentum and Collisions, Rotation of a Rigid
Object About a Fixed Axis, Rolling Motion and Angular
Momentum | First Year | | | Complex Numbers, Linear Equations; Vectors Matrices
and Determinants, Partial Differentiation, Multiple
Integrals, Vector Analysis, Fourier Series, Ordinary
Differential Equations. | Second Year | | | Introduction to Wave Mechanics: Wave Functions,
Schrödinger Equation, Wave Palates, Probability
Amplitudes, Stationary States, Heisenberg Uncertainty
Relation, One-dimensional System; Potential Well and
Potential Barrier Problems. Matrix Mechanics: Linear
Vector Spaces, Operators , Measurements and
Probability Amplitudes, Position and Momentum Space
Wave Functions. Schrödinger Equation in Three
Dimensions: Central Potentials, Orbital, Angular
Momentum and Spin, Hydrogen-Like Atoms. | Third Year | | | An introduction to electrodynamics for junior and senior level physics majors. It is expected that the students have already taken introductory physics sequence 171-273 or equivalent | Third Year | | | Lagrangian and Hamiltonian Dynamics, Dynamics of
System of Particles, Motion in a Nonlinear Frame,
Dynamics of Rigid Bodies, Coupled Oscillations. | Third Year | | | Analysis of Tensors, determinants, matrices, group theory functions composite varDifferential Equations
Sequences Forbahiables. | Master | | | Study of group theoretical methods with applications to problems in high energy, atomic, and condensed matter physics. Representation theory, tensor methods, Clebsh-Gordan series. | Fourth Year | | | Electric Field, Gauss’s Law; Electric Potential;
Capacitance and Dielectrics; Current and Resistance;
Direct Current Circuits, Magnetic Field, Sources of the
Magnetic Field, Faraday’s Laws of Induction | First Year | | | Coordinate Transformations; Tensor Analysis, Gamma,
Beta and Error Functions, Asymptotic Series, Stirling’s
Formula, Elliptic Integrals and Functions, Integral
Transforms, Series Solutions of Differential Equations,
Legender Polynomials, Bessel Functions, Sets of
Orthogonal Functions, Partial Differential Equations,
Functions of A Complex Variable. | Second Year |
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