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Session Results

Session Results

Programs for year olds in category "STEM"
Showing all 13 matches
Aug 30, 2022 - Dec 17, 2022 | Ages: 14 - 17
Basic techniques and methods for solving ordinary differential equations. Topics: linear, separable, and exact equations, existence and uniqueness theorems, difference equations, basic theory of higher order equations, variation of parameters, undetermined coefficients, series solutions, Laplace transform, systems of equations.
Competitive application process Stem Academic Non residential Needs based scholarship
Aug 30, 2022 - Dec 17, 2022 | Ages: 14 - 17
An introduction to the two pillars of modern physics. Special relativity and an introduction to general relativity, experimental basis of quantum theory, quantization of light, Hilbert space structure of qubits, multiparticle states, entangled states, incompatible observables, Bell inequalities, introduction to quantum information and quantum computing, Schrödinger equation.
Non residential Competitive application process Stem Needs based scholarship Academic
Aug 30, 2022 - Dec 17, 2022 | Ages: 14 - 17
Intermediate Mechanics covers much of what is generally covered in an upper division university mechanics course. The course is a sophisticated treatment of the mechanics of particles and systems. Rigid body dynamics, oscillating systems, Hamilton's principle for continuous systems, waves, general wave equation, and fluid dynamics.
Needs based scholarship Competitive application process Stem Academic Non residential
Aug 30, 2022 - Dec 17, 2022 | Ages: 14 - 17
Theory of differentiation and integration of complex functions. Topics: algebra of complex numbers, complex functions, multi-valued functions, exponentials, logarithms, analyticity, integrals, power series, Laurent series, residues, isolated singularities, poles and zeros.
Competitive application process Stem Academic Needs based scholarship Non residential
Aug 30, 2022 - Dec 17, 2022 | Ages: 14 - 17
Intermediate Mechanics covers much of what is generally covered in an upper division university mechanics course. The course is a sophisticated treatment of the mechanics of particles and systems. Tensors, vector calculus, Newtonian laws of mechanics and gravitation, oscillations, Green's functions, calculus of variations, Lagrangian mechanics, orbits, and physics in rotating frames of reference.
Competitive application process Non residential Needs based scholarship Academic Stem
Aug 30, 2022 - Dec 17, 2022 | Ages: 14 - 17
Differential calculus for functions of two or more variables. Topics: vectors and vector-valued functions in 2-space and 3-space, tangent and normal vectors, curvature, functions of two or more variables, partial derivatives and differentiability, directional derivatives and gradients, maxima and minima, optimization using Lagrange multipliers.
Stem Non residential Needs based scholarship Competitive application process Academic
Aug 30, 2022 - Dec 17, 2022 | Ages: 14 - 17
An introductory course in Linear Algebra. Topics: matrices, linear equations, vector spaces, bases, coordinates, linear transformations, eigenvectors, eigenvalues, and diagonalization.
Academic Non residential Needs based scholarship Competitive application process Stem
Aug 30, 2022 - Dec 17, 2022 | Ages: 14 - 17
Theory of differential equations involving functions of more than one variable. Topics: first order equations, classification of second order equations, initial-boundary value problems for heat equation, wave and related equations, separation of variables, eigenvalue problems, Fourier series, existence and uniqueness questions.
Stem Academic Non residential Competitive application process Needs based scholarship
Aug 30, 2022 - Dec 17, 2022 | Ages: 14 - 17
Integral calculus for functions of two or more variables. Topics: double and triple integrals, change of variables and the Jacobian, vector fields, line integrals, independence of path and the fundamental theorem of line integrals, Green's theorem, divergence theorem, and Stokes' theorem.
Needs based scholarship Non residential Academic Competitive application process Stem
Aug 30, 2022 - Dec 17, 2022 | Ages: 14 - 17
Theory of abstract algebra, with particular emphasis on applications involving symmetry. Topics: groups, quotient groups, symmetry groups in three dimensions, Pólya-Burnside method, rings and fields, polynomial and Euclidean rings, quotient rings, field extensions, and geometrical constructions.
Stem Non residential Academic Competitive application process Needs based scholarship
Aug 30, 2022 - Dec 17, 2022 | Ages: 14 - 17
Introduction to number theory and its applications. Topics: Euclid's algorithm, divisibility, prime numbers, congruence of numbers, theorems of Fermat, Euler, Wilson, Lagrange's theorem; residues of power, quadratic residues; magic squares; continued fractions; Diophantine equations; quadratic fields and quadratic integers.
Competitive application process Academic Stem Needs based scholarship Non residential
Aug 30, 2022 - Dec 17, 2022 | Ages: 14 - 17
Theory of functions of a real variable. Topics: sequences, series, limits, continuity, uniform continuity, sequences and series of functions, uniform convergence, differentiation.
Non residential Competitive application process Academic Stem Needs based scholarship
Aug 30, 2022 - Dec 17, 2022 | Ages: 14 - 17
An introduction to optics and thermodynamics. Topics: temperature, properties of matter, introduction to the kinetic theory of matter, light and electromagnetic waves, reflection and refraction of light, lens systems, interference and diffraction.
Stem Needs based scholarship Non residential Academic Competitive application process

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