Intellect PlusMathematics
1,516 cards. Each one is a 40-second story with a five-minute read behind it. Page 26 of 26.
How to use accumulation functions to estimate water levelsThis instructional video from Khan Academy demonstrates the practical application of accumulation functions. Learn how to apply these calculus concepts to estimate the specific am…
How to calculate the area between intersecting curvesMastering calculus requires more than just formulas. This video demonstrates how to use a calculator to find the area between curves that intersect at three distinct points by cal…
Why graphical representations can hide critical function behaviorWhen you zoom in on a mathematical graph, you might miss what is actually happening. This video explores how issues of scale can lead to incomplete or misleading visual data.
How the first derivative defines the slope of a tangent lineMaster the fundamental connection between derivatives and geometry. This video breaks down the 2019 Calculus AB free response questions, demonstrating how to calculate the slope o…
Mastering the calculus of change through the 2018 AP examThis instructional video breaks down a specific free response question from the 2018 Calculus AB exam. You will learn to navigate the relationship between average rates of change …
How to use a TVM solver to plan for financial independenceDetermining the exact amount of savings required for financial independence is a complex calculation. This video demonstrates how to use a Time Value of May (TVM) solver, a tool f…
Mastering the mechanics of implicit differentiation in calculusThis instructional video walks through the specific steps required to find the first derivative of an equation. Using a problem from the 2023 Calculus AB free response exam, it de…
Visualising change through the art of the slope fieldHow can a collection of tiny lines reveal the path of a complex equation? This instructional video demonstrates the process of sketching a slope field when provided with a specifi…- Mastering the calculus of area between curvesThis instructional video demonstrates the mathematical process of calculating the area bounded by two curves. It provides a clear, step-by-step walkthrough of a specific problem, …
Mastering the chain rule through a 2017 Calculus AB challengeThis video walks through a specific free response problem from the 2017 Calculus AB exam. You will learn how to evaluate the first derivative of a function and determine the slope…
How to identify domain restrictions in differential equation solutionsFinding a particular solution is only half the battle. This video demonstrates how to identify any specific restrictions on the domain that may apply to your solution, ensuring ma…- How to calculate the volume of solids using rectangular cross sectionsMaster the calculus required to determine the integral for a solid's volume. This video demonstrates how to use a known base and rectangular cross sections to solve complex geomet…
Bridging the gap between average and instantaneous rates of changeMaster a fundamental concept of AP Calculus AB. This instructional video from Khan Academy demonstrates how to calculate the average rate of change and explore the essential relat…
Beyond complex formulas: finding net area through simple geometryWhile calculus often involves intricate integration, some definite integrals can be solved using much simpler methods. This video demonstrates how to calculate net area by applyin…
How mathematical modelling drives breakthroughs in modern engineering and healthcareMathematics does more than describe the world; it predicts it. This lecture by Professor Becky Shipley explores how computational modelling and multidisciplinary engineering princ…
If a solution is easy to verify, is it also easy to find?In the realm of mathematics, some problems are trivial for computers, while others may be fundamentally impossible. Complexity theory explores this boundary, centering on one of t…