Calculus - What Do You Learn About? скачать в хорошем качестве

Calculus - What Do You Learn About?

Curious about calculus but haven't taken it yet? In this video, Mario's Math Tutoring provides a clear, high-level overview of what calculus is all about! We'll explore the fundamental concept of limits and introduce the two main branches of Calculus 1: derivatives and integrals. Discover how derivatives help us find instantaneous rates of change (like the slope of a tangent line), and how integrals allow us to calculate the exact area under a curve. What you'll learn in this video: 0:00 - What exactly is calculus? 0:25 - Calculus as the study of limits (approaching zero, approaching infinity) 0:50 - The two main problems in calculus: Derivatives and Integrals 1:10 - Understanding derivatives: From secant lines to tangent lines 1:40 - Average rate of change vs. instantaneous rate of change 2:20 - The concept of a tangent line and its slope 2:50 - How derivatives provide a formula for the slope of a tangent line (f'(x)) 3:50 - Understanding integrals: Finding the area under a curve 4:30 - Approximating area with rectangles 5:00 - How increasing the number of rectangles improves approximation 5:30 - Using limits to find the exact area (infinite sum of thin rectangles) 6:00 - The integral symbol and its meaning This video is perfect for anyone in Precalculus, Algebra 2, or simply curious about what to expect in a Calculus 1 course. Get a foundational understanding of these powerful mathematical tools! #Calculus #Derivatives #Integrals #Limits #Calculus1 #MathTutorial #Slope #AreaUnderCurve #Precalculus #MathHelp #MarioMathTutoring ➡️JOIN the channel as a CHANNEL MEMBER at the "ADDITIONAL VIDEOS" level to get access to my math video courses(Algebra 1, Algebra 2/College Algebra, Geometry, PreCalculus), midterm & final exam reviews, ACT and SAT prep videos and more! (Over 390+ videos)    / @mariosmathtutoring