Calculus 1 Lecture 0.1: Lines, Angle of Inclination, and the Distance Formula

Calculus 1 Lecture 0.1: Lines, Angle of Inclination, and the Distance Formula

[EagleLogic]

Not everyday you see a jacked calculus professor

[dadasut]

in my religion they say when a man dies he has only three things left to be remembered by :
1) his good deeds .
2) a well raised child
3) the knowledge he left that continues to help others


and you sir will live forever for every one you taught .thanks to you i have almost finished my engineering degree and no one ever taught me mathematics like you did .everything i will ever achieve in my life is because of you

[Liam_theX]

Bro, the fact that this video is 11 years old and yet I’m still watching it for help in calculus truly shows how helpful this man is and what a good, easy to understand teacher he is! Thank you so much Professor Leonard!

[cristhiangarcia]

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[forrestkennedy]

To everyone just starting their epic journey with prof Leonard:

You are making a great decision by watching these videos. I started my journey with calculus almost 3 years ago, and prof. leonard's videos are beyond wonderful. I just received my final in calculus 3, and I got an A!

When I started this series, I didn't know if I could do it, but Prof. Leonard proved to me that I could not only pass calculus but thrive in calculus. Now, I am just finishing up my freshman year of college having received Ain all three calculus classes and am pursuing my dream of becoming a physicist, and I have never been more confident in my life.

If I can do it, so can you. Professor Leonard and I believe in you!

[MandyDrex]

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[josha]

COMPLETE CALC 1 with 13-Day Guide. (4-8 hours a day)


Day One
0.1 - 50 min (Lines, Angle of Inclination, and the Distance Formula)
0.2 - 1 hr 40 min (Calculus 1 Lecture 0.2: Introduction to Functions)
0.3 - 1 hr 20 min (Review of Trigonometry and Graphing Trigonometric Functions)
0.4 - 16 min (Combining and Composition of Functions)


Day Two
1.1 - 1 hr 30 min (An Introduction to Limits)
1.2 - 3 hr (Properties of Limits. Techniques of Limit Computation)


Day Three
1.4 - 1 hr 30 min (Continuity of Functions)
1.5 - 1 hr (Slope of a Curve, Velocity, and Rates of Change)


Day Four
2.1 - 1hr 16 min (Introduction to the Derivative of a Function)
2.2 - 1hr 12 min (Techniques of Differentiation (Finding Derivatives of Functions Easily))
2.3 - 1hr (The Product and Quotient Rules for Derivatives of Functions)


Day Five
2.4 - 40 min (Applications of the Derivative)
2.5 - 50 min (Finding Derivatives of Trigonometric Functions)
2.6 - 1hr 35 min (Discussion of the Chain Rule for Derivatives of Functions)


Day Six
2.7 - 1 hr 10 min (Implicit Differentiation)
2.8 - 55 min (Related Rates)
3.1 - 1hr 35 min (Increasing/Decreasing and Concavity of Functions)


Day Seven
3.2 - 7 min (A BRIEF Discussion of Rolle's Theorem and Mean-Value Theorem.)
3.3 - 26 min (The First Derivative Test for Increasing and Decreasing)
3.4 - 37 min (The Second Derivative Test for Concavity of Functions)


Day Eight
3.5 - 1hr 24 min (Limits of Functions at Infinity)
3.6 - 1hr 33 min (How to Sketch Graphs of Functions)
3.7 - 1hr 35 min (Optimization; Max/Min Application Problems)


Day Nine
4.1 - 2hr 45 min (An Introduction to the Indefinite Integral)
4.2 - 1hr 34 min (Integration by Substitution)


Day Ten
4.3 - 2hr 10 min (Area Under a Curve, Limit Approach, Riemann Sums)
4.4 - 30 min (The Evaluation of Definite Integrals)


Day Eleven
4.5 - 2 hr 45 min (The Fundamental Theorem of Calculus)
5.1 - 1hr 34 min (Finding Area Between Two Curves)


Day Twelve
5.2 - 2hr 50 min (Volume of Solids By Disks and Washers Method)


Day Thirteen
5.3 - 55 min (Volume of Solids By Cylindrical Shells Method)
5.4 - 2hr 20 min (Finding the Length of a Curve on a Plane)

[kennymetz]

Professor Leonard,
Hello, I am a senior at Temple University in the fox school of business. I sincerely want to thank you so much for making these videos and providing them for free to the public. My math professors here have all been incredibly intelligent, but i have really struggled with the material. I love math, but i'm just not very good at it, or so I thought. While watching your videos something just clicked and its all seems to be starting to fall into place.
Now that's not to say that the material is easy by any means, but I now feel like I actually have a chance in learning it. You have a way of explaining things that makes me now able to visualize conceptually. Also, what I think really makes you stand out the most to me is how you actually give a background and explain the concepts of the theory. Many professors merely write a problem on the board and say, " Here's how to solve. Any questions (three second pause) Good, moving on!" I have my first exam in seven days and thanks to you i now believe that i actually have a chance of not only passing, but might actually get a good grade.
Please forgive the length, but the reason I am taking the time to write this to you is just to let you know how great of a teacher that you are.

[plopsan]

Im gonna try for the second time (and last time, I only get two tries) to pass Calculus 1 next year, I failed the first time so wish me luck guys.
This major is important to me, because it’s my life challenge, my “I can do it as well” moment, especially as someone who’s been struggling with math, dyslexia and attention my whole life.
I’ve unfortunately always been one of the worst ones in math, and been extremely slow as well, when my friends finished an exercise, I was always three exercises behind...
Even if I don’t pass, I want to thank Professor Leonard because thanks to you, I’ve understood key concepts that I would’ve never understood otherwise.

[alijoyce]

I love the way he teaches. He lets his students think and do it themselves. Our teacher just re-teaches himself...

[mc]

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[mwip]

I have passed calculus at a major research university and knew that slope-intercept is y=mx+b but not why until I watched this video. Truly great teaching

[shaunmike]

Inspiring me to relearn calculus and exercise, bravo.

[backtoafrica]

Just wanted to say THANK YOU.
Watch all your video and Clep CALCULUS, Intermediate algebra and am working now on statistic.
just tell us How we can contribute to your work.
Universities make us pay more and cannot even explain 1/4 of you explanation.
THANK YOU

[ImDaRealBoi]

11 years later, and I have to say that this aged really well. Loved your teaching style and involvement with the class, you even got me answering out loud. Thank you Professor Leonard, I'm going to try to do calculus over the summer and I think this will definitely help.

[gogos]

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[alexjohnnythelumb]

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[jacktaylor]

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[cadendavis]

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[yasarkar]

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