Calculus : Limits and Continuity
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# Calculus : Limits and Continuity

The Foundation for strong Calculus
0.0 (0 ratings)
156 students enrolled
Created by Rafael Gomes
Last updated 1/2015
English
Current price: \$10 Original price: \$20 Discount: 50% off
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Includes:
• 2.5 hours on-demand video
• Access on mobile and TV
• Certificate of Completion
What Will I Learn?
• learn and understand about what Calculus is
• understand the first part of Calculus i.e. Limits
• solve the problems on limits quickly and accurately
View Curriculum
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.
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!!!

Who 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.
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Curriculum For This Course
25 Lectures
02:43:59
+
Limits Introduction
3 Lectures 16:49
Preview 03:06

Preview 07:36

Estimation of Limits
06:07
+
Non existent limits
3 Lectures 15:57
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
+
Limits: Properties and Determination
4 Lectures 31:37
Properties of Limits
07:30

Determining Limits by Factoring
09:57

Determining Limits by Rationalization
08:14

Determining Limits by Fractions
05:56
+
Trigonometric Limits
3 Lectures 23:59
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
+
Limits in Epsilon Delta form
4 Lectures 33:53
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
+
Continuity and Miscellaneous topics
8 Lectures 41:44
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