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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