Calculus : Limits and Continuity

The Foundation for strong Calculus
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  • Lectures 25
  • Contents Video: 2.5 hours
  • Skill Level All Levels
  • Languages English
  • Includes Lifetime access
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    Available on iOS and Android
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About This Course

Published 1/2015 English

Course Description

Limits are the core tool that we build upon for calculus. Many times, a function can be undefined at a point, but we can think about what the function "approaches" as it gets closer and closer to that point (this is the "limit"). Other times, the function may be defined at a point, but it may approach a different limit. There are many, many times where the function value is the same as the limit at a point. Either way, this is a powerful tool as we start thinking about slope of a tangent line to a curve. If you have a decent background in algebra (graphing and functions in particular), you'll hopefully enjoy this course!!!

What are the requirements?

  • Knowledge about Pre-Calculus which is one of the courses covered by my team.
  • However, if you have knowledge about "Trigonometric functions, their graphs and applications; the conic sections, exponential and logarithmic functions and their graphs; graphs for polynomial and rational functions; general discussion of functions and their properties" , then you can start right away.

What am I going to get from this course?

  • learn and understand about what Calculus is
  • understand the first part of Calculus i.e. Limits
  • solve the problems on limits quickly and accurately

What is the target audience?

  • The course is for anyone who wants to improve in Mathematics.
  • Moreover, the people who want to master Calculus, this course is the basic for learning Calculus.

What you get with this course?

Not for you? No problem.
30 day money back guarantee.

Forever yours.
Lifetime access.

Learn on the go.
Desktop, iOS and Android.

Get rewarded.
Certificate of completion.

Curriculum

Section 1: Limits Introduction
Introduction to Calculus
Preview
03:06
Introduction to Limits
Preview
07:36
Estimation of Limits
06:07
Section 2: Non existent limits
Limits that do not exist - Example No.1 - [|x|/x]
04:44
Limits that do not exist - Example No.2 - [1-x^2]
03:12
Limits that do not exist - Example No.3 - [ sin(1-x)]
08:01
Section 3: Limits: Properties and Determination
Properties of Limits
07:30
Determining Limits by Factoring
09:57
Determining Limits by Rationalization
08:14
Determining Limits by Fractions
05:56
Section 4: Trigonometric Limits
Trigonometric Limits - Example No.1 - [1-cos(x)-x]
05:37
Trigonometric Limits - Example No.2 - [tan(x)-x]
08:35
Proof of sin(x)-x
09:47
Section 5: Limits in Epsilon Delta form
Limit Definition - Epsilon Delta - 1
06:19
Limit Definition - Epsilon Delta - 2
09:58
Limit Definition - Epsilon Delta - Example
03:33
Proving a Limit
14:03
Section 6: Continuity and Miscellaneous topics
Introduction to Continuity
05:02
Continuity Example
06:31
One Sided Limits Introduction
01:59
One Sided Limits Example
02:47
Geometric Interpretation of sec(x) and tan(x)
04:13
Geometric Interpretation of [1-cos(x)-x]
05:02
Problem-1
06:10
Problem-2
10:00

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Instructor Biography

Rafael Gomes, Mathematician at Udemy

I have completed my Bachelors in Electrical Engineering and have an inclination towards Mathematics. My inclination is clearly reflected in the scores, for instance, I have 95 percentile in GRE exam. My courses would be oriented towards Mathematics as I could guarantee the students of giving them the best quality available. Also, I have the teaching experience of 7+ years in Mathematics so I can easily understand the mind set of the students

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