
Explore the two big ideas of calculus, differentiation and integration, and see derivatives as rates of change and slope while learning how integration sums areas from tiny pieces.
Explore how to read and graph common functions on the cartesian plane, including linear, quadratic, absolute value, circle, and inverse functions, with axis intercepts and horizontal and vertical transformations.
Review right-triangle trigonometry concepts, including sine, cosine, tangent, and cotangent, using opposite, adjacent, and hypotenuse; explore 45-45-90 and 30-60-90 triangles and introduce identities for calculus readiness.
Learn calculus 101 presents differentiation as the steepness or slope, a measure of the rate of change dy/dx, using rise over run and y equals x plus three.
Explore differentiation through limits of the average quotient to find a tangent line. Define the derivative as the limit of the difference quotient and apply to x squared for 2x.
Master product rule and chain rule through practical examples, derive derivatives of polynomials, trig functions, and quotients, and apply power and constant rules for efficient calculus.
Use substitution to solve integrals by selecting a u, applying power, exponential, or natural logarithmic rules, then compute du, integrate, and substitute back for the final result.
Embrace calculus as approachable and powerful by applying it to real-life and work challenges, push your brain to its limits, stay creative, and keep learning.
BECOME A CALCULUS BEAST IN 5 HOURS ONLY
This course includes all the topics you need to understand and become a guru in Calculus!
The course includes visual video interaction with the instructor who walks you through easy steps to understand and solve the most scary calculus problems with ease. Each calculus milestone includes a major exam (with a solution) to test your learning progress. Most discussed mathematical concepts are reflected in real-life examples so that you can eventually know the answer to "Would I ever need this in real life?"?
The course is structured through the following sections:
Precalculus
Limits & Continuity
Applications of limits in real life
Derivatives
Applications of Derivatives
Integration
Applications of integration
Bonus advanced integration topics
HERE'S WHAT YOU GET INSIDE OF EVERY SECTION:
Videos: Watch as if you are sitting beside me while I show you how to tackle problems for every single math issue you’ll encounter in class. We start from the beginning; I explain the problem setup and why I set it up that way, the steps I take and why I take them, how to work through the fuggy middle parts, and how to simplify the answer when you get it.
Notes: Every Note displayed during the lecture is there waiting for you when you need it. You don't need to be distracted writing notes and have a full engagement with the course worry-free about losing information.
Tests: Each section is followed by an exam that helps you evaluate your learning progress ( with solutions)
Bonus Topics: Bonus topics are added to feed your mathematical curiosity and bonus examples for the crucial topics along the course.
Don't forget to pick up your trophies:
Lifetime access to Calculus 101: you own the course with downloadable lectures forever
Friendly support in the Q&A section
Udemy Certificate of Completion available for download
If you didn't become a calculus guru get the course for free.
Dive in now!
Rauf