Calculus 1 with the Math Sorcerer

The ULTIMATE Calculus 1 Course! Hundreds of Videos and Tons of Assignments with Solutions:)

Ratings 4.73 / 5.00

What You Will Learn!

An Intuitive Understanding of Limits
Understand Limit Notation in Calculus
Understand what a Limit actually is and what it means for a Limit to Exist
How to Compute Limits from a Graph
How to Compute Limits Analytically
How to Compute Limits by Rationalizing
How to Compute Limits by Factoring Quadratics
How to Compute Limits with the Difference of Cubes
How to Compute Limits with Absolute Values
How to Compute Limits with Piecewise Functions
How to Think More Deeply about Limits
How to use the Squeeze Theorem to Compute Limits
How to use the Squeeze Theorem to do a Simple Proof
How to Compute Limits using Special Trigonometric Limits
How to Compute Limits that have Trigonometric Functions in them
How to Write a Delta Epsilon Proof for a Linear Function, Quadratic Function, Cubic Function, and Trigonometric Function
Understand what Continuity Means Intuitively
Understand the Definition of Continuity in a Very Deep Way
Understand what Removable and Nonremovable Discontinuities are
How to Find Removable and Nonremovable Discontinuities in Rational Functions, Trigonometric Functions, and Absolute Value Functions
How to Find Removable and Nonremovable Discontinuities in Piecewise Functions
Understand the Intermediate Value Theorem
How to Use the Intermediate Value Theorem
Understand What Infinite Limits actually are
How to Compute Infinite Limits with Rational and Trigonometric Functions
Understand what a Vertical Asymptote is and the Precise Definition via Calculus
How to Find Vertical Asymptotes with and without Calculus
Understand what a Derivative is
Understand How to Construct the Concept of Derivative from Scratch
How to Find the Derivative of a Function using the Limit Definition
How to use all Basic Differentiation Formulas for Polynomials and Trigonometric Functions
How to use the Product Rule, Quotient Rule, and Chain Rule for Differentiation
How to Compute Higher Order Derivatives
How to Find the Slope of the Tangent Line
How to Find Horizontal Tangent Lines
How to Find the Equation of the Tangent Line
How to Various Challenging Calculus Problems involving Derivatives
How to Some of Key Derivative Formulas
Understand the Average Rate of Change
Understand the Instantaneous Rate of Change
How to Compute the Average Rate of Change
How to Compute the Instantaneous Rate of Change
Understand the Relationship Between Position, Velocity, Acceleration, Speed, and Jerk with Calculus
How to Compute Velocity and Acceleration and Speed
How to do Harder Word Problems Involving Velocity and Acceleration
Understand Implicit Differentiation
How to Differentiate Implicitly
How to Find the Equation of the Tangent Line using Implicit Differentiation
How to Find Vertical and Horizontal Tangent Lines using Implicit Differentiation
How to Find the Second Derivative with Implicit Differentiation
Understand Related Rates Word Problems
How to do Related Rates Word Problems
Understand the Difference Between Absolute and Relative Extrema
How to Find Absolute and Relative Extrema from a Graph
Understand what a Critical Number Actually is
Understand the Definition of a Critical Number
How to Find Critical NUmbers
Understand the Extreme Value Theorem
How to Find the Absolute Maximums and Minimums of a Continuous Function on a Closed Interval
Understand Rolle's Theorem Intuitively and Why it Works
How to Use Rolle's Theorem
Understand the Mean Value Theorem Intuitively and Why it Works
How to Use the Mean Value Theorem
Understand the Relationship Between the First Derivative and where the Graph of a Function is Increasing or Decreasing
How to Use the First Derivative Test to Find Relative Maximums and Relative Minimums
How to use the First Derivative to Determine the Intervals where a Function is Increasing and Decreasing
Understand the Notion of Concavity and How the Second Derivative is Involved
How to use the Second Derivative to Find Inflection Points and Intervals where a function is Concave Up and Concave Down
How to use the Second Derivative Test to Find Relative Maximums and Relative Minimums
How to Compute Limits at Infinity
How to Find Horizontal Asymptotes
How to Do Optimization Word Problems
How to use Newton's Method
How to Compute the Differential dy and use it to Approximate the Actual Change in y
Understand Indefinite Integration
Learn all of the basic integration formulas
How to Evaluate Indefinite Integrals
How to Solve Differential Equations
How to Integration by Substitution
Understand the Summation Formulas used to Compute Definite Integrals with the Definition
Understand the Detailed Construction of the Riemann Integral
How to use Limit Definition of a Definite Integral to Find the Area under a Curve
Understand the First Fundamental Theorem of Calculus
How to Use the Fundmantal Theorem of Calculus to Evaluate Definite Integrals
How to Evaluate Definite Integrals with u substitution and how to carefully change the limits of integration
How to Evaluate Definite Integrals with Absolute Values
How to Find the Area Bounded by a Region using Definite Integrals
Understand the Mean Value Theorem for Integrals and it's Relationship to the Average Value of a Function
How to use the Mean Value Theorem for Integrals
How to Find the Average Value of a Function over an Interval
How to use the Second Fundamental Theorem of Calculus
How to use the Extended Fundamental Theorem of Calculus
How to use Simpson's Rule
How to Compute Derivatives involving the Natural Logarithm
How to Integrate using formulas involving the natural logarithm
How to Compute Derivatives involving e^x
How to Compute Integrals involving e^x
How to Compute Derivatives and Integrals involving Bases other than e

Description

This is literally the ULTIMATE Calculus 1 Course!!!

Basically just,

1) Watch the videos, and try to follow along with a pencil and paper, take notes!

2) Try to do the problems before I do them(if you can!)

3) Try to complete the assignments. Solutions are included to every single assignment and in some cases the solutions are very detailed.

4) Repeat!

If you finish even 50% of this course you will know A LOT of Calculus 1 and more importantly your level of mathematical maturity will go up tremendously!

Calculus 1 is an absolutely beautiful subject. I hope you enjoy watching these videos and working through these problems as much as I have:)

Note this course has lots of very short videos with assignments. If you are trying to learn calculus then this format can be good because you don't have to spend tons of time on the course every day. Even if you can only spend time doing 1 video a day, that is honestly better than not doing any mathematics. You can learn a lot and because there are so many videos you could do 1 video a day. Good luck and I hope you learn a lot of math.