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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!!!
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Section 1: Limits Introduction  

Lecture 1 
Introduction to Calculus
Preview

03:06  
Lecture 2 
Introduction to Limits
Preview

07:36  
Lecture 3 
Estimation of Limits

06:07  
Section 2: Non existent limits  
Lecture 4 
Limits that do not exist  Example No.1  [x/x]

04:44  
Lecture 5 
Limits that do not exist  Example No.2  [1x^2]

03:12  
Lecture 6 
Limits that do not exist  Example No.3  [ sin(1x)]

08:01  
Section 3: Limits: Properties and Determination  
Lecture 7 
Properties of Limits

07:30  
Lecture 8 
Determining Limits by Factoring

09:57  
Lecture 9 
Determining Limits by Rationalization

08:14  
Lecture 10 
Determining Limits by Fractions

05:56  
Section 4: Trigonometric Limits  
Lecture 11 
Trigonometric Limits  Example No.1  [1cos(x)x]

05:37  
Lecture 12 
Trigonometric Limits  Example No.2  [tan(x)x]

08:35  
Lecture 13 
Proof of sin(x)x

09:47  
Section 5: Limits in Epsilon Delta form  
Lecture 14 
Limit Definition  Epsilon Delta  1

06:19  
Lecture 15 
Limit Definition  Epsilon Delta  2

09:58  
Lecture 16 
Limit Definition  Epsilon Delta  Example

03:33  
Lecture 17 
Proving a Limit

14:03  
Section 6: Continuity and Miscellaneous topics  
Lecture 18 
Introduction to Continuity

05:02  
Lecture 19 
Continuity Example

06:31  
Lecture 20 
One Sided Limits Introduction

01:59  
Lecture 21 
One Sided Limits Example

02:47  
Lecture 22 
Geometric Interpretation of sec(x) and tan(x)

04:13  
Lecture 23 
Geometric Interpretation of [1cos(x)x]

05:02  
Lecture 24 
Problem1

06:10  
Lecture 25 
Problem2

10:00 
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