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UPenn - Calculus: Single Variable Part 3 - Integration 

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Calculus: Single Variable Part 3 - Integration
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Overview

Duration

17 hours

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Total fee

Free

Mode of learning

Online

Schedule type

Self paced

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Credential

Certificate

Calculus: Single Variable Part 3 - Integration
 at 
Coursera 
Highlights

  • Earn a shareable certificate upon completion.
  • Flexible deadlines according to your schedule.
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Calculus: Single Variable Part 3 - Integration
 at 
Coursera 
Course details

Skills you will learn
More about this course
  • Calculus is one of the grandest achievements of human thought, explaining everything from planetary orbits to the optimal size of a city to the periodicity of a heartbeat. This brisk course covers the core ideas of single-variable Calculus with emphases on conceptual understanding and applications. The course is ideal for students beginning in the engineering, physical, and social sciences. Distinguishing features of the course include: 1) the introduction and use of Taylor series and approximations from the beginning; 2) a novel synthesis of discrete and continuous forms of Calculus; 3) an emphasis on the conceptual over the computational; and 4) a clear, dynamic, unified approach.
  • In this third part--part three of five--we cover integrating differential equations, techniques of integration, the fundamental theorem of integral calculus, and difficult integrals.
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Calculus: Single Variable Part 3 - Integration
 at 
Coursera 
Curriculum

Integrating Differential Equations

Indefinite Integrals

A Simple O.D.E.

More O.D.E.s

O.D.E. Linearization

BONUS!

How Grading Works

Your Guide to Getting Started in this Course

Core Homework: Indefinite Integrals

Challenge Homework: Indefinite Integrals

Core Homework: A Simple O.D.E.

Challenge Homework: A Simple O.D.E.

Core Homework: More O.D.E.s

Challenge Homework: More O.D.E.s

Core Homework: O.D.E. Linearization

Challenge Homework: O.D.E. Linearization

Techniques of Integration

Integration by Substitution

Integration by Parts

Trig Substitution

BONUS!

Partial Fractions

BONUS!

Core Homework: Integration by Substitution

Challenge Homework: Integration by Substitution

Core Homework: Integration by Parts

Challenge Homework: Integration by Parts

Core Homework: Trig Substitution

Challenge Homework: Trig Substitution

Core Homework: Partial Fractions

Challenge Homework: Partial Fractions

The Fundamental Theorem of Integral Calculus

Definite Integrals

The F.T.I.C.

BONUS!

Core Homework: Definite Integrals

Core Homework: The F.T.I.C.

Challenge Homework: The F.T.I.C.

Dealing with Difficult Integrals

Improper Integrals

BONUS!

Trigonometric Integrals

Tables and Software

About the Chpater 3 Exam

Core Homework: Improper Integrals

Challenge Homework: Improper Integrals

Core Homework: Trigonometric Integrals

Challenge Homework: Trigonometric Integrals

Challenge Homework: Tables and Software

Chapter 3: Integration - Exam

Calculus: Single Variable Part 3 - Integration
 at 
Coursera 
Admission Process

    Important Dates

    May 25, 2024
    Course Commencement Date

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    Calculus: Single Variable Part 3 - Integration
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