Acerca de este Curso
4.9
209 calificaciones
30 revisiones

100 % en línea

Comienza de inmediato y aprende a tu propio ritmo.

Fechas límite flexibles

Restablece las fechas límite en función de tus horarios.

Aprox. 22 horas para completar

Sugerido: 6-8 hours/week...

Inglés (English)

Subtítulos: Inglés (English), Español (Spanish)

Differential EquationsIntegration By PartsImproper IntegralIntegration By Substitution

100 % en línea

Comienza de inmediato y aprende a tu propio ritmo.

Fechas límite flexibles

Restablece las fechas límite en función de tus horarios.

Aprox. 22 horas para completar

Sugerido: 6-8 hours/week...

Inglés (English)

Subtítulos: Inglés (English), Español (Spanish)

Programa - Qué aprenderás en este curso

Semana
1
3 horas para completar

Integrating Differential Equations

Our first look at integrals will be motivated by differential equations. Describing how things evolve over time leads naturally to anti-differentiation, and we'll see a new application for derivatives in the form of stability criteria for equilibrium solutions....
5 videos (Total 75 minutos), 2 readings, 8 quizzes
5 videos
A Simple O.D.E.16m
More O.D.E.s15m
O.D.E. Linearization16m
BONUS!8m
2 lecturas
Your Guide to Getting Started in this Course10m
8 ejercicios de práctica
Core Homework: Indefinite Integrals10m
Challenge Homework: Indefinite Integrals2m
Core Homework: A Simple O.D.E.10m
Challenge Homework: A Simple O.D.E.4m
Core Homework: More O.D.E.s10m
Challenge Homework: More O.D.E.s8m
Core Homework: O.D.E. Linearization14m
Challenge Homework: O.D.E. Linearization6m
Semana
2
2 horas para completar

Techniques of Integration

Since indefinite integrals are really anti-derivatives, it makes sense that the rules for integration are inverses of the rules for differentiation. Using this perspective, we will learn the most basic and important integration techniques. ...
6 videos (Total 76 minutos), 8 quizzes
6 videos
Integration by Parts16m
Trig Substitution15m
BONUS!7m
Partial Fractions15m
BONUS!6m
8 ejercicios de práctica
Core Homework: Integration by Substitution12m
Challenge Homework: Integration by Substitution4m
Core Homework: Integration by Parts14m
Challenge Homework: Integration by Parts6m
Core Homework: Trig Substitution12m
Challenge Homework: Trig Substitution6m
Core Homework: Partial Fractions12m
Challenge Homework: Partial Fractions6m
Semana
3
1 hora para completar

The Fundamental Theorem of Integral Calculus

Indefinite integrals are just half the story: the other half concerns definite integrals, thought of as limits of sums. The all-important *FTIC* [Fundamental Theorem of Integral Calculus] provides a bridge between the definite and indefinite worlds, and permits the power of integration techniques to bear on applications of definite integrals. ...
3 videos (Total 46 minutos), 3 quizzes
3 videos
The F.T.I.C.16m
BONUS!12m
3 ejercicios de práctica
Core Homework: Definite Integrals10m
Core Homework: The F.T.I.C.10m
Challenge Homework: The F.T.I.C.8m
Semana
4
2 horas para completar

Dealing with Difficult Integrals

The simple story we have presented is, well, simple. In the real world, integrals are not always so well-behaved. This last module will survey what things can go wrong and how to overcome these complications. Once again, we find the language of big-O to be an ever-present help in time of need. ...
4 videos (Total 50 minutos), 1 reading, 6 quizzes
4 videos
BONUS!6m
Trigonometric Integrals15m
Tables and Software11m
1 lectura
6 ejercicios de práctica
Core Homework: Improper Integrals16m
Challenge Homework: Improper Integrals10m
Core Homework: Trigonometric Integrals12m
Challenge Homework: Trigonometric Integrals4m
Challenge Homework: Tables and Software8m
Chapter 3: Integration - Exam20m
4.9
30 revisiones

Principales revisiones

por CCJul 2nd 2018

I like it because it though me differential equations. This topics was previously missing from my education. It can be daunting to learn DE without proper guidance. This course provided just that.

por ABJun 18th 2016

A bit difficult, but not truly when a good effort is made. No doubt interesting. Even a post graduate student will truly benefit from this course.

Instructor

Robert Ghrist

Professor
Mathematics and Electrical & Systems Engineering