- Level Foundation
- المدة 14 ساعات hours
- الطبع بواسطة University of Pennsylvania
-
Offered by
عن
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.الوحدات
About the Course
2
Readings
- Your Guide to Getting Started in this Course
- How Grading Works
Sequences
1
Assignment
- Core Homework: Sequences
2
Videos
- Sequences
- BONUS!
Differences
2
Assignment
- Core Homework: Differences
- Challenge Homework: Differences
1
Videos
- Differences
Discrete Calculus
2
Assignment
- Core Homework: Discrete Calculus
- Challenge Homework: Discrete Calculus
1
Videos
- Discrete Calculus
Numerical O.D.E.s
1
Assignment
- Core Homework: Numerical O.D.E.s
1
Videos
- Numerical O.D.E.s
Numerical Integration
1
Videos
- Numerical Integration
Infinite Series
2
Assignment
- Core Homework: Infinite Series
- Challenge Homework: Infinite Series
1
Videos
- Infinite Series
Convergence Tests I
2
Assignment
- Core Homework: Convergence Tests I
- Challenge Homework: Convergence Tests I
1
Videos
- Convergence Tests I
Convergence Tests II
1
Assignment
- Core Homework: Convergence Tests II
1
Videos
- Convergence Tests II
Absolute & Conditional
1
Assignment
- Core Homework: Absolute & Conditional
1
Videos
- Absolute & Conditional
Power Series
2
Assignment
- Core Homework: Power Series
- Challenge Homework: Power Series
1
Videos
- Power Series
Taylor Series Redux
2
Assignment
- Core Homework: Taylor Series Redux
- Challenge Homework: Taylor Series Redux
1
Videos
- Taylor Series Redux
Approximation and Error
1
Assignment
- Core Homework: Approximation and Error
2
Videos
- Approximation and Error
- BONUS!
Calculus Redux
2
Videos
- Calculus Redux
- BONUS!
Foreshadowing
1
Videos
- Foreshadowing
Credits
1
Videos
- Credits
Chapter 5 Review & Exam
1
Assignment
- Chapter 5: Discretization - Exam
1
Readings
- About the Chapter 5 Exam
THE 5-CHAPTER GREAT BIG FINAL EXAM
1
Assignment
- 5-CHAPTER GREAT BIG FINAL EXAM!
1
Readings
- About the 5-CHAPTER GREAT BIG FINAL EXAM!

Robert Ghrist