Tarea OPEN COURSE #EPSO

El curso que he elegido es el siguiente:

Single Variable Calculus  del MIT enlace: http://ocw.mit.edu/courses/mathematics/18-01sc-single-variable-calculus-fall-2010/index.htm

consta de 5 temas que se componen de varias partes cada uno y que a su vez estas partes están compuestas por sesiones. Los dos primeros temas son:

Tema 1: Diferenciación

Part A: Definition and Basic Rules

• Session 1: Introduction to Derivatives
• Session 2: Examples of Derivatives
• Session 3: Derivative as Rate of Change
• Session 4: Limits and Continuity
• Session 5: Discontinuity
• Session 6: Calculating Derivatives
• Session 7: Derivatives of Sine and Cosine
• Session 8: Limits of Sine and Cosine
• Session 9: Product Rule
• Session 10: Quotient Rule
• Session 11: Chain Rule
• Session 12: Higher Derivatives
• Problem Set 1

Part B: Implicit Differentiation and Inverse Functions

• Session 13: Implicit Differentiation
• Session 14: Examples of Implicit Differentiation
• Session 15: Implicit Differentiation and Inverse Functions
• Session 16: The Derivative of a^x
• Session 17: The Exponential Function, its Derivative, and its Inverse
• Session 18: Derivatives of other Exponential Functions
• Session 19: An Interesting Limit Involving e
• Session 20: Hyperbolic Trig Functions
• Problem Set 2

Tema 2: Aplicaciones de la diferenciación

Part A: Approximation and Curve Sketching

• Session 23: Linear Approximation
• Session 24: Examples of Linear Approximation
• Session 25: Introduction to Quadratic Appoximation
• Session 26: Using Quadratic Approximations
• Session 27: Sketching Graphs I - Polynomials and Rational Functions
• Session 28: Sketching Graphs II - General Strategies
• Problem Set 3

Part B: Optimization, Related Rates and Newton's Method

• Session 29: Optimization Problems
• Session 30: Optimization Problems II
• Session 31: Related Rates
• Session 32: Ring on a String
• Session 33: Newton's Method
• Problem Set 4

Part C: Mean Value Theorem, Antiderivatives and Differential Equations

• Session 34: Introduction to the Mean Value Theorem
• Session 35: Using the Mean Value Theorem
• Session 36: Differentials
• Session 37: Antiderivatives
• Session 38: Integration by Substitution
• Session 39: Introduction to Differential Equations
• Session 40: Separation of Variables
• Problem Set 5

Y así continua a lo largo de otros 3 temas más durante estas 10 o 20 horas espero completar 1 tema entero y espero que parte del segundo es un curso bastante entretenido y cargado de información.