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.
Offered By
Calculus: Single Variable Part 1 - Functions
University of PennsylvaniaAbout this Course
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- Series Expansions
- Calculus
- Series Expansion
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Syllabus - What you will learn from this course
Introduction
A Review of Functions
Taylor Series
Limits and Asymptotics
Reviews
- 5 stars80.28%
- 4 stars15.49%
- 3 stars2.16%
- 2 stars0.72%
- 1 star1.33%
TOP REVIEWS FROM CALCULUS: SINGLE VARIABLE PART 1 - FUNCTIONS
This module is fully exhaustive. You will also understand why we need series expansion of a function at a given point and its convergence and other applications. I enjoyed it thoroughly.
What can I say? It is so good that I watch the lectures when I have dinner alone. Prof Ghrist absolutely has presented calculus so well that it becomes such an entertainment!
Very well structured for a refresher course. Thank you Professor Ghrist for your effort in putting this course together. A little additional outside research was required but well worth the effort.
This course is difficult, and sometimes is not easy to know how to correct the homework questions since there are no analysis of them and the answers in the forum are not quite complete.
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