Calculus 1 Lectures with The Math Sorcerer
Learn Calculus 1 with this comprehensive course! From computing limits to solving optimization problems, this course covers all the essential topics. With high-quality lectures, assignments, and a final exam, you can enhance your understanding of calculus. Suitable for anyone eager to learn calculus, this course offers a structured learning experience. Take notes, work through assignments, and watch the final exam review for better results. Enjoy the lectures and good luck on your calculus journey!
What you’ll learn
- Everything That is Typically Taught in a Calculus 1 Course
- How to Compute Limits from a Graph
- How to Evaluate Limits Analytically
- How to Compute One-Sided Limits
- How to Solve Continuity Problems
- How to Apply the Intermediate Value Theorem
- How to Compute Infinite Limits
- How to Find the Derivative using the Definition
- How to Find the Equation of the Tangent Line
- How to Apply the Power, Product, Quotient, and Chain Rules for Derivatives
- How to Compute the Derivatives of the Basic Trig Functions
- How to Implicitly Differentiate
- How to Solve Related Rates Problems
- How to Find the Absolute Extrema of a Continuous Function on a Closed Interval
- How to Apply Rolle’s Theorem
- How to Apply the Mean Value Theorem
- How to use the First Derivative Test to Find Relative Extrema
- How to Find Intervals where a Function is Increasing or Decreasing
- How to use the Second Derivative Test
- How to Find where a Function is Concave up or Concave down
- How to Find Inflection Points
- How to Compute Limits at Infinity
- How to Graph using Calculus
- How to Solve Optimization Problems
- How to use Newton’s Method
- How to Evaluate Indefinite Integrals
- How to Integrate using u-substitution
- How to Find a Definite Integral using the Limit Definition
- How to Compute a Definite Integral using the First Fundamental Theorem of Calculus
- How to use the Second Fundamental Theorem of Calculus
- How to use the Mean Value Theorem for Integrals
- How to Differentiate Functions involving Logarithms
- How to Find Integrals using Formulas involving Logarithms
- How to Integrate and Differentiate Functions with the Natural Exponential Function
- How to Integrate and Differentiate Exponential Functions with Bases other than e
- How to Solve Separable Differential Equations
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This is a complete course on Calculus 1 that is presented via lectures. For each of the regular lectures you will have an assignment as well as solutions to that assignment. At the very end of the course there is a final exam that you can take. In order to prepare for the final exam I have included a final exam review lecture that you can watch.
This course includes the following.
25 High Quality Lectures
25 Assignments with Solutions – one for each regular lecture.
A Final Exam Review Lecture
A Final Exam with Solutions
2 Additional Extra Lectures
The best way to watch these lectures is to be an active participant, the same way you would if you were taking a real class in an actual classroom. Here are some tips to make your learning experience better.
Work at your own pace and have fun with the lectures:) This is rule #1!
Take notes! You don’t have to do this but it will greatly increase how much you actually retain from the lectures.
Work through the assignments at the end of each lecture. These were carefully constructed so that you have some way to test your knowledge.
Watch the Final Exam Review! This is a very good review and if you can understand this review then you can do very well on the final exam. The final exam was very carefully constructed so that this would happen.
I hope you enjoy these lectures. I think you will learn a lot from them, even if you don’t take notes:)
Good luck and have fun!
Who this course is for:
- Anyone who wants to learn Calculus
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