Cálculo 3

agosto-diciembre 2019


Inicio Plan tentativo Tareas tentativas

Material Entrega Ejercicios: Stewart, 8th Ed. Bonus tracks: Recomendaciones misceláneas.
5-7/8 9/8 12.1.15, 12.1.45,
10.3.47, 10.3.65,
15.7.9,
15.8.8,
12.2.37, 12.2.52,
12.3.55, 12.3.61, 12.3.62, 12.3.63
Electric Circuits - The Mechanical Universe
Circuit simulator - Paul Falstad
Letters to a Young Mathematician - Ian Stewart
12-14/8 16/8 12.4.16, 12.4.34,
12.5.5, 12.5.7, 12.5.23, 12.5.31, 12.5.35, 12.5.45, 12.5.51
10.5.57, 10.5.63, 10.5.65
Cross products - 3Blue1Brown
A History of Vector Analysis - Michael J. Crowe
19-21/8 23/8 10.5.57, 10.5.63, 10.5.65
10.6.2, 10.6.27,
12.6.19, 12.6.21-28, 12.6.30, 12.6.42, 12.6.43, 12.6.45, 12.6.47, 12.6.48, 12.6.51, 12.6.53
Visualizing Quaternions - Grant Sanderson and Ben Eater
Earthquakes, Circles and Spheres - Tadashi Tokieda
2-4/9 6/9 10.1.24, 10.1.51,
10.2.69,
10.4.44,
13.1.21-26, 13.1.38
13.2.55,
13.3.16, 13.3.59, 13.3.60, 13.3.61, 13.3.62
Lissajous Curves - Matt Parker
The Brachistochrone - Grant Sanderson and Steven Strogatz
Gödel, Escher, Bach: An Eternal Golden Braid - Douglas Hofstadter
9-11/9 13/9 13.3.63, 13.3.64,
13.4.15, 14.4.22, 14.4,23, 14.4.24, 13.4.25, 13.4.33, 13.4.35, 13.4.39, 13.4.44, 13.4.46
Feynman's Lost Lecture - Minute Physics & 3Blue1Brown
The End of Education - Neil Postman
17-18/9 20/9 Leer Chapter 9: Newton’s Laws of Dynamics - Richard Feynman On Proof and Progress in Mathematics - William P. Thurston
Kepler’s laws and conic sections - Alexander Givental
23-25/9 27/9 14.1.32, 14.1.41-44, 14.1.57-60, 14.1.61-66,
14.2.9, 14.2.13, 14.2.39, 14.2.45
Spivak: 1-10, 1-20, 1-25, 1-26, 1-28, 1-30
On Teaching Mathematics - V. I. Arnold
7-9/10 11/10 14.3.5-8, 14.3.9, 14.3.10, 14.3.11, 14.3.12, 14.3.23, 14.3.30, 14.3.39, 14.3.76, 14.3.77, 14.3.80, 14.3.98 Tractrices, Bicycle Tire Tracks, Hatchet Planimeters, and a 100-year-old Conjecture - Robert Foote, Mark Levi, Serge Tabachnikov
14-16/10 18/10 14.4.7, 14.4.39,
14.5.6, 14.5.25, 14.5.39, 14.5.45, 14.5.53, 14.5.55, 14.5.59
Spivak: 2-6, 2-7, 2-9
The unreasonable effectiveness of mathematics in the natural sciences - Eugene P. Wigner
El Nombre de la Rosa - Umberto Eco
21-23/10 25/10 14.6.1, 14.6.36, 14.6.40, 14.6.47, 14.6.51, 14.6.62
Spivak: 2-12, 2-14, 2-15, 2-16, 2-21, 2-23, 2-26, 2-29, 2-35, 2-38, 2-40, 2-41
The Continuous Newton's Method, Inverse Functions, and Nash-Moser - J. W. Neuberger
4-6/11 8/11 (Baby) Rudin, Chapter 5: 25
(Baby) Rudin, Chapter 9: 12, 17 (equation 52), 19, 23
The Implicit Function Theorem - Harold R. Parks and Steven G. Krantz
11-15/11 15/11 14.7.3, 14.7.24, 14.7.29, 14.7.33, 14.7.43, 14.7.45, 14.7.59,
14.8.1, 14.8.2, 14.8.35, 14.8.46, 14.8.49
The Principle of Least Action - R. Feynman