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Back to Calculus: Single Variable Part 1 - Functions

Learner Reviews & Feedback for Calculus: Single Variable Part 1 - Functions by University of Pennsylvania

4.7
stars
2,368 ratings

About the 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 first part--part one of five--you will extend your understanding of Taylor series, review limits, learn the *why* behind l'Hopital's rule, and, most importantly, learn a new language for describing growth and decay of functions: the BIG O....

Top reviews

VP

May 30, 2020

The course is awesome ,I learn lot from this course . Taylor's series and its applications to find limits is very good. Big-O is very useful. Thanks for giving such a wonderful course.

NK

Feb 22, 2016

Would have preferred accompanying solutions. Just getting the answer ain't enough. Making sure my approach is correct is essential as well considering the course touches upon the absolute basics.

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576 - 600 of 621 Reviews for Calculus: Single Variable Part 1 - Functions

By Shwet R

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Jan 10, 2016

Its really challenging and rewarding course.

By Slobodan K

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Oct 29, 2022

very good for recapitulation of knowledge!

By adilet a

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Jun 17, 2016

This is very good course for students!!!

By Rajasekhar

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May 21, 2016

Good illustration of complex topics.

By Atef H

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May 21, 2016

Great new approach towards calculus.

By Huan Y C

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Jul 26, 2024

this course is very challenging.

By PADMA A

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May 12, 2020

The course is really informative

By JEROME R P L

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Mar 18, 2023

Add more examples pleaseeeee!

By Ahsan M

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Jan 25, 2020

great course fot beignners !!

By Oliver A

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Jan 2, 2023

great teaching and material

By Jaspreet S

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Jan 25, 2016

very good learning process

By Anne-Marie B

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Jan 21, 2026

It was really hard

By Amri M

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Feb 8, 2021

lil bit confusing

By Balakrishnan M

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Apr 11, 2020

Improve knowledge

By Фаттахов Р Р

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Jun 16, 2025

не супер понятно

By MOHA A

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Jan 4, 2025

Excellent cours

By Sattam S S A

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Apr 26, 2020

it was great

By J. M

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May 20, 2016

Very good!

By olfa m

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Dec 6, 2024

so hard

By Arthur S

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Sep 10, 2022

good

By Aditya T

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Jun 25, 2017

good

By Senanayake H

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Dec 18, 2016

good

By suman K

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Jun 21, 2020

nic

By Jonah A

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Feb 11, 2019

E

By Suyash M

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Mar 18, 2019

Very good course for revisiting calculus. It never feels old as it tackles functions and limits from a different perspective - that of the Taylor Series. But it is mostly concerned with evaluating limits and series. Some things were assumed to be true without explanation, which, I admit, might have made understanding them easier. But it slightly chafes the mind to know something without knowing proof for it, and how it came to be. Some questions that may arise but remain unanswered in the lectures include : How to find the domain of convergence of a series? Where did the Taylor's Series formula come from? These and some more are not addressed in this course, but they might be in the future chapters (which I have not completed)