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This course combines two courses taught by Dr. Green. She teaches both Calculus 1 and a Calculus 1 Corequisite course, designed to be taken at the same time. In this video, the lectures from the Corquisite course, which review important Algebra and Trigonometry concepts, have been interspersed with the Calculus 1 lectures at the places suggested by Dr. Green.

⭐️ Prerequisites ⭐️
🎥 Algebra: https://www.youtube.com/watch?v=LwCRRUa8yTU
🎥 Precalculus: https://www.youtube.com/watch?v=eI4an8aSsgw

⭐️ Lecture Notes ⭐️
🔗 Calculus 1 Corequisite Notes: http://lindagreen.web.unc.edu/....files/2020/08/course
🔗 Calculus 1 Notes: http://lindagreen.web.unc.edu/....files/2019/12/course

🔗 Viewer created notes (Thanks to Abdelrahman Ramzy): https://drive.google.com/file/....d/1Py5hyiOz61i4lh2PE

⭐️ Course Contents ⭐️
(0:00:00) [Corequisite] Rational Expressions
(0:09:40) [Corequisite] Difference Quotient
(0:18:20) Graphs and Limits
(0:25:51) When Limits Fail to Exist
(0:31:28) Limit Laws
(0:37:07) The Squeeze Theorem
(0:42:55) Limits using Algebraic Tricks
(0:56:04) When the Limit of the Denominator is 0
(1:08:40) [Corequisite] Lines: Graphs and Equations
(1:17:09) [Corequisite] Rational Functions and Graphs
(1:30:35) Limits at Infinity and Graphs
(1:37:31) Limits at Infinity and Algebraic Tricks
(1:45:34) Continuity at a Point
(1:53:21) Continuity on Intervals
(1:59:43) Intermediate Value Theorem
(2:03:37) [Corequisite] Right Angle Trigonometry
(2:11:13) [Corequisite] Sine and Cosine of Special Angles
(2:19:16) [Corequisite] Unit Circle Definition of Sine and Cosine
(2:24:46) [Corequisite] Properties of Trig Functions
(2:35:25) [Corequisite] Graphs of Sine and Cosine
(2:41:57) [Corequisite] Graphs of Sinusoidal Functions
(2:52:10) [Corequisite] Graphs of Tan, Sec, Cot, Csc
(3:01:03) [Corequisite] Solving Basic Trig Equations
(3:08:14) Derivatives and Tangent Lines
(3:22:55) Computing Derivatives from the Definition
(3:34:02) Interpreting Derivatives
(3:42:33) Derivatives as Functions and Graphs of Derivatives
(3:56:25) Proof that Differentiable Functions are Continuous
(4:01:09) Power Rule and Other Rules for Derivatives
(4:07:42) [Corequisite] Trig Identities
(4:15:14) [Corequisite] Pythagorean Identities
(4:20:35) [Corequisite] Angle Sum and Difference Formulas
(4:28:31) [Corequisite] Double Angle Formulas
(4:36:01) Higher Order Derivatives and Notation
(4:39:22) Derivative of e^x
(4:46:52) Proof of the Power Rule and Other Derivative Rules
(4:56:31) Product Rule and Quotient Rule
(5:02:09) Proof of Product Rule and Quotient Rule
(5:10:40) Special Trigonometric Limits
(5:17:31) [Corequisite] Composition of Functions
(5:29:54) [Corequisite] Solving Rational Equations
(5:40:02) Derivatives of Trig Functions
(5:46:23) Proof of Trigonometric Limits and Derivatives
(5:54:38) Rectilinear Motion
(6:11:41) Marginal Cost
(6:16:51) [Corequisite] Logarithms: Introduction
(6:25:32) [Corequisite] Log Functions and Their Graphs
(6:36:17) [Corequisite] Combining Logs and Exponents
(6:40:55) [Corequisite] Log Rules
(6:49:27) The Chain Rule
(6:58:44) More Chain Rule Examples and Justification
(7:07:43) Justification of the Chain Rule
(7:10:00) Implicit Differentiation
(7:20:28) Derivatives of Exponential Functions
(7:25:38) Derivatives of Log Functions
(7:29:38) Logarithmic Differentiation
(7:37:08) [Corequisite] Inverse Functions
(7:51:22) Inverse Trig Functions
(8:00:56) Derivatives of Inverse Trigonometric Functions
(8:12:11) Related Rates - Distances
(8:17:55) Related Rates - Volume and Flow
(8:22:21) Related Rates - Angle and Rotation
(8:28:20) [Corequisite] Solving Right Triangles
(8:34:54) Maximums and Minimums
(8:46:18) First Derivative Test and Second Derivative Test
(8:51:37) Extreme Value Examples
(9:01:33) Mean Value Theorem
(9:09:09) Proof of Mean Value Theorem
(0:14:59) [Corequisite] Solving Right Triangles
(9:25:20) Derivatives and the Shape of the Graph
(9:33:31) Linear Approximation
(9:48:28) The Differential
(9:59:11) L'Hospital's Rule
(10:06:27) L'Hospital's Rule on Other Indeterminate Forms
(10:16:13) Newtons Method
(10:27:45) Antiderivatives
(10:33:24) Finding Antiderivatives Using Initial Conditions
(10:41:59) Any Two Antiderivatives Differ by a Constant
(10:45:19) Summation Notation
(10:49:12) Approximating Area
(11:04:22) The Fundamental Theorem of Calculus, Part 1
(11:15:02) The Fundamental Theorem of Calculus, Part 2
(11:22:17) Proof of the Fundamental Theorem of Calculus
(11:29:18) The Substitution Method
(11:38:07) Why U-Substitution Works
(11:40:23) Average Value of a Function
(11:47:57) Proof of the Mean Value Theorem for Integrals

How to become good at Maths? How to score good marks in Maths? In this video, I share 7 awesome tips you can use to solve Maths problems easily, memorize formulas, theorems, solve equations, prove certain things etc.

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I hope you enjoy the video. Please leave a LIKE and comment below with how many questions you answered correctly. Good luck!

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n this online lecture,Muhammad Naveed Jaffar explains FSC part 2 Mathematics Chapter 2 Differentiation.
2nd Year Math Ch 2 -Class 12 Maths Chapter 2 Exercise 2.1 Q 1 By Definition -12 Class Math Chapter 2.

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4 times tables can be learned easily with the Laugh along and Learns cover of “I’m Still Standing” by Taron Egerton. Don’t forget to comment. We love to hear your thoughts!

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4, 8, 12 and 16
20, 24, 28,
32, 36 and 40
44 and 48
Let’s Calculate!

1, 4 is?
2, 4's are?
3, 4's are?
4, 4's?
5, 4’s are?
6, 4's are?
7, 4's are?
8, 4's are?
9, 4's are?
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11, 4's are?
12, 4's are?

1, 4 is 4
2, 4's are 8
3, 4's are 12
4, 4's 16
5, 4's are 20
6, 4's are 24
7, 4's are 28
8, 4's are 32
9, 4's are 36
10, 4's are 40
11, 4's are 44
12, 4's are 48

I’m still counting
Yeah! Yeah! Yeah!
I’m still counting
Yeah! Yeah! Yeah!

Original Music by: Taron Egerton
Production: Laugh Along and Learn
Vocals: Mark Sanders

Copyright © 2018 Laugh Along and Learn. All Rights Reserved.

Annie and Jose have fun with Addition and Subtraction in their new garden. Addition and subtraction are the most basic things of Mathematics. In this basic math video you will learn all the basics of addition and subtraction. Recommended for Grades: K.

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This video will inspire you and bring your interest in Mathematics.
There was a time when Einstein could not even count to 10... No one is perfect at first. You grow as you fail and improve.

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While the concept of infinity may seem mysterious, mathematicians have developed processes to reason the strange properties of infinity. Mathematician Emily Riehl has been challenged to explain infinity to 5 different people; a child, a teen, a college student, a grad student, and an expert.

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Editor: Louville Moore
Host: Emily Riehl
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If you prefer to read, rather than watch this video, here’s the transcript:

Title: Rewriting Fractions with LCM as Common Denominator - Fast And Easy Math Learning Videos

You’ve already learned how to find the least common multiple of two numbers. In this lesson, you’ll learn to use the least common multiple of two numbers to find a common denominator for two fractions.
Here’s an example, one sixth and four ninths. One way to find a common denominator for these two fractions is to use the least common multiple of the denominators. First, let’s find the least common multiple of 6 and 9.
We start with six and list some multiples, as shown here.
Then we take 9 and list some multiples.
The least common multiple is the smallest number included in both of these lists of multiples. In this case, it’s 18.
Now let’s use that as the common denominator to rewrite both fractions.
One-sixth becomes three eighteenths.
And four ninths becomes eight eighteenths.
Another example, three fourths and three tenths. We start by finding the least common multiple of the denominators, 4 and 10.
We start by listing some multiples of four, as shown here.
Then we list some multiples of 10.
The least common multiple is 20.
We now can rewrite the fractions with a common denominator of 20.
Three fourths becomes fifteen twentieths.
And three tenths becomes six twentieths.
Last example, three fourths and one sixth. To find the common denominator, we find the least common multiple.
We list some multiples of 4 as shown here, then some multiples of 6.
The least common multiple is 12.
So, the least common denominator is 12.
We now rewrite each fraction with a denominator of 12.
Three fourths becomes 9 twelfths and one sixth becomes 2 twelfths.
In the remainder of this lesson, you’ll rewrite fractions with a common denominator after using the least common multiple of the denominators to find a common denominator.

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