Calculus I (Differential Calculus)

Learn Differential Calculus through engaging video tutorials covering differentiation rules, derivatives of various functions, and essential calculus concepts for engineering and mathematics students.

  • Overview
  • Curriculum
  • Instructor
  • Review

Brief Summary

Calculus I focuses on differential calculus, teaching you how to find derivatives of various functions with fun video tutorials. From polynomials to trigonometric functions, you’ll learn it all! Get ready for an exciting math journey!

Key Points

  • Introduction to differential calculus
  • Derivatives of polynomials and natural exponential functions
  • Product and quotient rules for differentiation
  • Trigonometric and inverse trigonometric function derivatives
  • Logarithmic differentiation and implicit differentiation

Learning Outcomes

  • Find derivatives of polynomial, rational, and natural exponential functions
  • Understand and apply the product, quotient, and chain rules
  • Differentiate trigonometric and inverse trigonometric functions
  • Master implicit differentiation techniques
  • Use logarithmic differentiation effectively

About This Course

Videos on a first course in calculus (Differential Calculus).

Calculus I is designed primarily for those students planning to pursue programs in engineering, mathematics, computer science, and physical sciences. This course includes topics of differential and integral calculus of a single variable. This course contains a series of video tutorials that are broken up in various levels. Each video builds upon the previous one.

In this first course in Calculus (Differential Calculus) you will learn various differentiation rules that will allow you to find derivatives without the direct use of the limit definition. We will first learn how to find the derivative of polynomials and natural exponential functions.

Then we will shift gears and learn how to apply the product and quotient rule. We will then learn how to find the derivative of trigonometric functions.  After that, we will learn how to use the chain rule to find the derivative of more complicated functions.

We will then learn how to differentiate via implicit differentiation. We will follow up with derivatives of inverse Trigonometric Functions and logarithmic functions. We will end the video series by learning how to differentiate via logarithmic differentiation.

After going over these videos you should be armed with the basic skills necessary to find the derivative of various functions.

  • Take the derivative of polynomial, rational, natural exponential, logarithmic, trigonometric, and inverse trigonometric functions.

  • Understand how to use the product, quotient, and chain rule.

  • Learn the basics of differentiation.

Instructor

Profile photo of Math Fortress
Math Fortress

Math Fortress provides great quality college level math videos, equation sheets, and worksheets.We have math videos for, Algebra I (Beginning Algebra), Algebra II (Intermediate Algebra), Geometry, Precalculus, Calculus I (Differential Calculus), Calculus II (Integral Calculus), Calculus III (Multivariable Calculus), Linear Algebra, Differential Equations, New York Regents Exam and the GRE.

Review
4.9 course rating
4K ratings
ui-avatar of Michael Wood
Michael W.
5.0
3 years ago

Instructor is EXCELLENT!!!

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ui-avatar of Benson Mwangi
Benson M.
5.0
3 years ago

I have confidence that I can do calculus and I have gained alot of knowledge on that topic

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ui-avatar of Ellie Mandell
Ellie M.
5.0
4 years ago

This was a great course for me. I wanted a quick overview of what this level of calculus was all about, and I will probably return to the course for better absorption at a later date. The teacher did a great job speeding through important and useful information, with lots of great examples.

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ui-avatar of Klaus Dieckmann
Klaus D.
4.0
4 years ago

Very good examples, but the instructor spoke too fast. I learned new aspects of differentiation, to solve difficult, complicated functions.

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ui-avatar of Bryan Parcival Hoogesteijn
Bryan P. H.
5.0
4 years ago

De cursus is goed te begrijpen.

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ui-avatar of Joseph Antonucci
Joseph A.
5.0
4 years ago

Excellent!

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ui-avatar of Nicolaas Elias Hoogesteijn
Nicolaas E. H.
5.0
4 years ago

Tot nu toe helder en duidelijk.

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ui-avatar of Warren Baker
Warren B.
5.0
4 years ago

The explanations are very, very clear. There is no nesting of concepts. Each and every step is clearly explained. I think that this is a perfect companion to a university calc 1 course!

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ui-avatar of Zhao Xu
Zhao X.
5.0
4 years ago

Very intuitive! I love this course.

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ui-avatar of Tim Crawford
Tim C.
5.0
4 years ago

Instructor is doing a great job of getting the point across!

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