University of Pennsylvania - Calculus: Single Variable Part 3 - Integration
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- Public/Government Institute
Calculus: Single Variable Part 3 - Integration at Coursera Overview
Duration | 17 hours |
Total fee | Free |
Mode of learning | Online |
Schedule type | Self paced |
Official Website | Explore Free Course  |
Credential | Certificate |
- Overview
- Highlights
- Course Details
- Curriculum
Calculus: Single Variable Part 3 - Integration at Coursera Highlights
- Earn a shareable certificate upon completion.
- Flexible deadlines according to your schedule.
Calculus: Single Variable Part 3 - Integration at Coursera Course details
- 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.
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
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