Here were my first thoughts as I worked through the idea: Abstraction 1: Multiple shapes First, look at a few representations of $x^2$. The common cliche is that it represents a square of side x, but we can be more creative. What about a rectangle with sides $\frac{1}{2}x$ and ...
Those who complete the precalculus courses will be able to: Graph various types of functions and their transformations Prove polynomial identities Know and apply the Binomial Theorem Understand and rewrite rational expressions Solve logarithmic and exponential equations ...
AP Calculus AB_ 8.1 Finding the Average Value of a Function on an Interval (Tie to 6.7) 48:37 AP Calculus AB_ 8.2 Connecting Position, Velocity, and Acceleration Using Integrals (Tie to 4.2) 45:07 AP Calculus AB_ 8.3 Accumulation Functions and Definite Integrals in Applied Contexts 46:06...
Introduction to LimitsAntiderivativesIntroduction to FunctionsFinding Limits AlgebraicallyIndefinite Integrals Business Calculus Learn with Patrick 1000+ Videos 500+ Questions Popular Topics Introduction to LimitsBasic Rules of DifferentiationIntroduction to FunctionsCommon FunctionsExponential & Logarithmic Equations St...
definite and indefinite integrals techniques of integration, including substitution, trig sub, and integration by parts multiple integralsThe goal of this workbook isn’t to cover every possible topic from calculus, but to focus on the most essential skills needed to apply calculus to other subjects...
For those of you who have already taken Calculus 2, this sounds very familiar to you. This is basically the concept of Riemann sums and taking integrals. But for this course, we're just going to let a computer do the work for us. So no fancy integrals that we're going...
and they will serve students on their way to using trigonometry to solve integrals in calculus. Much like the other large branches of math, such as algebra and geometry, trigonometry offers applications in fields that may not seem related at a first glance, from manual labor to medicine to ac...
Chapter 12: Integration Rules for Calculus Connoisseurs 229 Integration by Parts: Here’s How u du It 229 Transfiguring Trigonometric Integrals 233 Trigonometric Substitution: It’s Your Lucky Day! 235 Partaking of Partial Fractions 237 Solutions for Integration Rules 241 Chapter 13: Who Needs Freud...
• Take a quiz (to prepare you for exams) • Drill down any Math topic • Check your progress, get insights and tips Topics covered include Pre-Algebra, Algebra, Calculus, Trigonometry, Functions, Matrices & Vectors. Covering fractions through equations to integrals and differential equations...
Chapter 10: The Fundamental Theorem of Calculus and the Net Change Theorem Chapter 11: Applications of Integration Chapter 12: Inverse Trigonometric Functions, Hyperbolic Functions, and LHôpital’s Rule Chapter 13: U-Substitution and Integration by Parts Chapter 14: Trigonometric Integrals, Trigonometr...