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#### 100% online

Start instantly and learn at your own schedule.

#### Approx. 23 hours to complete

Suggested: 6-8 hours/week...

#### English

Subtitles: English, Spanish

### Skills you will gain

Differential EquationsIntegration By PartsImproper IntegralIntegration By Substitution

#### 100% online

Start instantly and learn at your own schedule.

#### Approx. 23 hours to complete

Suggested: 6-8 hours/week...

#### English

Subtitles: English, Spanish

# Learners taking this Course are

• Risk Managers
• Pharmacists
• Security Engineers
• Machine Learning Engineers
• Economists

### Syllabus - What you will learn from this course

Week
1
3 hours to complete

## Integrating Differential Equations

5 videos (Total 75 min), 2 readings, 8 quizzes
5 videos
A Simple O.D.E.16m
More O.D.E.s15m
O.D.E. Linearization16m
BONUS!8m
Your Guide to Getting Started in this Course10m
8 practice exercises
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
Week
2
2 hours to complete

## Techniques of Integration

6 videos (Total 76 min), 8 quizzes
6 videos
Integration by Parts16m
Trig Substitution15m
BONUS!7m
Partial Fractions15m
BONUS!6m
8 practice exercises
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
Week
3
1 hour to complete

## The Fundamental Theorem of Integral Calculus

3 videos (Total 46 min), 3 quizzes
3 videos
The F.T.I.C.16m
BONUS!12m
3 practice exercises
Core Homework: Definite Integrals10m
Core Homework: The F.T.I.C.10m
Challenge Homework: The F.T.I.C.8m
Week
4
2 hours to complete

## Dealing with Difficult Integrals

4 videos (Total 50 min), 1 reading, 6 quizzes
4 videos
BONUS!6m
Trigonometric Integrals15m
Tables and Software11m
6 practice exercises
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
35 Reviews

### Top reviews from Calculus: Single Variable Part 3 - Integration

By 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.

By 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