About this Course
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Start instantly and learn at your own schedule.

Flexible deadlines

Reset deadlines in accordance to your 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.

Flexible deadlines

Reset deadlines in accordance to your 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
2 readings
How Grading Works10m
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
1 reading
About the Chpater 3 Exam10m
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 ReviewsChevron Right

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

Avatar

Robert Ghrist

Professor
Mathematics and Electrical & Systems Engineering

About University of Pennsylvania

The University of Pennsylvania (commonly referred to as Penn) is a private university, located in Philadelphia, Pennsylvania, United States. A member of the Ivy League, Penn is the fourth-oldest institution of higher education in the United States, and considers itself to be the first university in the United States with both undergraduate and graduate studies. ...

Frequently Asked Questions

  • Once you enroll for a Certificate, you’ll have access to all videos, quizzes, and programming assignments (if applicable). Peer review assignments can only be submitted and reviewed once your session has begun. If you choose to explore the course without purchasing, you may not be able to access certain assignments.

More questions? Visit the Learner Help Center.