UPenn - Single Variable Calculus
- Offered byCoursera
Single Variable Calculus at Coursera Overview
Duration | 14 hours |
Start from | Start Now |
Total fee | Free |
Mode of learning | Online |
Official Website | Explore Free Course |
Credential | Certificate |
Single Variable Calculus at Coursera Highlights
- Earn a certificate from the University of Pennsylvania upon completion of course.
- Earn a shareable certificate upon completion.
- Flexible deadlines according to your schedule.
Single Variable Calculus 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 fifth part--part five of five--we cover a calculus for sequences, numerical methods, series and convergence tests, power and Taylor series, and conclude the course with a final exam. Learners in this course can earn a certificate in the series by signing up for Coursera's verified certificate program and passing the series' final exam.
Single Variable Calculus at Coursera Curriculum
A Calculus for Sequences
Sequences
BONUS!
Differences
Discrete Calculus
Your Guide to Getting Started in this Course
How Grading Works
Core Homework: Sequences
Core Homework: Differences
Challenge Homework: Differences
Core Homework: Discrete Calculus
Challenge Homework: Discrete Calculus
Introduction to Numerical Methods
Numerical O.D.E.s
Numerical Integration
Core Homework: Numerical O.D.E.s
Series and Convergence Tests
Infinite Series
Convergence Tests I
Convergence Tests II
Absolute & Conditional
Core Homework: Infinite Series
Challenge Homework: Infinite Series
Core Homework: Convergence Tests I
Challenge Homework: Convergence Tests I
Core Homework: Convergence Tests II
Core Homework: Absolute & Conditional
Power and Taylor Series
Power Series
Taylor Series Redux
Approximation and Error
BONUS!
Core Homework: Power Series
Challenge Homework: Power Series
Core Homework: Taylor Series Redux
Challenge Homework: Taylor Series Redux
Core Homework: Approximation and Error
Concluding Single Variable Calculus
Calculus Redux
BONUS!
Foreshadowing
Credits
About the Chapter 5 Exam
About the 5-CHAPTER GREAT BIG FINAL EXAM!
Chapter 5: Discretization - Exam
5-CHAPTER GREAT BIG FINAL EXAM!