Penn University: Mathematics

Para inscribirse en unas Summer Sessions en Penn University, debes seleccionar 2 cursos de Summer Sessions. A continuación puedes ver todos los cursos del área Mathematics; contenido y horario.

Recomendamos:
1.- Ver en que sesión (fechas y duración) se imparte cada uno de los cursos de esta área.
2.- Cuando sepas los cursos que más te interesan comprueba el horario para que no se solapen entre ellos.

DURACIÓN       FECHAS                        SESSION
6 semanas        Mayo 21 – Junio 29        Session 1
6 semanas        Julio 2 – Agosto 10        Session 2

REQUISITOS:  Nivel Avanzado, TOEFL 100iBT, CAE

Cursos de Mathematics:

Precios
CURSO Y ALOJAMIENTO		DURACIÓN		FECHAS		PRECIO
Summer Session		6 semanas.		Mayo 21- Jun 29 Jul 2 - Ago 10		Desde 8.650,00 €

Descripción de los cursos:

Introduction to Calculus

Introduction to concepts and methods of calculus for students with little or no previous calculus experience. Polynomial and elementary transcendental functions and their applications, derivatives, extremum problems, curve-sketching, approximations; integrals and the fundamental theorem of calculus.
M-Th 10.00-12.10 pm

Calculus I

Brief review of high school calculus, applications of integrals, transcendental functions, methods of integration, infinite series, Taylor's theorem. Use of symbolic manipulation and graphics software in calculus.
M-Th 10.00-12.10 pm

Calculus II

Functions of several variables, vector-valued functions, partial derivatives and applications, double and triple integrals, conic sections, polar coordinates, vectors and analytic geometry, first and second order ordinary differential equations. Applications to physical sciences. Use of symbolic manipulation and graphics software in calculus.
M-Th 1.00-3.10 pm

Calculus, Part II with Probability and Matrices

Functions of several variables, partial derivatives, multiple integrals, differential equations; introduction to linear algebra and matrices with applications to linear programming and Markov processes. Elements of probability and statistics. Applications to social and biological sciences. Use of symbolic manipulation and graphics software in calculus.
M-Th 1.00-3.10 pm

Ideas in Mathematics

Topics from among the following: logic, sets, calculus, probability, history and philosophy of mathematics, game theory, geometry, and their relevance to contemporary science and society.
M-Th

Calculus III

Linear algebra: vectors, matrices, systems of linear equations, eigenvalues and eigenvectors. Vector calculus: functions of several variables, vector fields, line and surface integrals, Green's, Stokes' and divergence theorems. Series solutions of ordinary differential equations, Laplace transforms and systems of ordinary differential equations. Use of symbolic manipulation and graphics software.
M-Th

Calculus IV

Sturm-Liouville problems, orthogonal functions, Fourier series, and partial differential equations including solutions of the wave, heat and Laplace equations, Fourier transforms. Introduction to complex analysis. Use of symbolic manipulation and graphics software.
M-Th

Linear Algebra

Linear transformations, Gauss Jordan elimination, eigenvalues and eigenvectors, theory and applications.



 

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