Mr. Sutton Presents... Ap Calculus Bc

Mr. Sutton Presents... Ap Calculus Bc

Published 8/2023

MP4 | Video: h264, 1280x720 | Audio: AAC, 44.1 KHz

Language: English | Size: 4.79 GB | Duration: 15h 13m

A clear, concise, no-nonsense guide to AP Calculus BC (includes full lessons for AB material)

What you'll learn

Evaluate limits and determine continuity

Find derivatives of functions

Apply derivatives to problems with extrema, motion, and related rates

Find integrals of functions and use the Fundamental Theorem of Calculus

Apply integrals to problems with differential equations, motion, accumulation and area/volume

Create series to model functions and determine convergence/divergence

Apply Calculus to vectors and polor functions

Requirements

A solid working knowledge of algebra, trigonometry, exponential and logarithmic functions, sequences and series, vectors, paremetrics and polar coordinates

Already having taken Calc AB is a plus, but not required

Description

Mr. Sutton Presents... AP Calculus BCLet's cut out the fluffy description and get right to the point. You are looking for a convenient, self-paced way to learn some quality mathematics. You want a teacher who speaks, writes and explains clearly and without rambling in his videos. You want lots of practice problems with answers you can look up. You want to pay as little as possible for all this!Here is what all of my courses offer:Clear, concise videos that get to the point quickly with just enough "back story" to provide context, just enough "application" to spice it up, and carefully chosen examples to model the process.PDF versions of each lesson if you get sick of my voice or want to look back without hunting through the video. All lessons were recorded with PowerPoint slides, so you don't have to decipher my handwriting.A printable guided notes handout allowing you to fill-in-the-blanks while you watch each lesson. Very helpful if you learn better by writing things down but want to avoid needless rewriting or a disorganized jumble!2-4 practice problem sets per lesson, including printable handouts AND both PDF and video solutions of every single practice problem -- an extra 20-30 hours of video content!End-of-chapter practice quizzes (with handouts and PDF/video solutions) to review multiple concepts at once. Here is what this course covers:Limits and ContinuityIntuitive Limits - FiniteIntuitive Limits - InfiniteAlgebraic Limits - Polynomials and Rational FunctionsAlgebraic Limits - Piecewise FunctionsLimits at InfinityContinuityIntermediate Value Theorem (IVT)Rate of ChangeDerivativesThe Power RuleDifferentiabilityGraphing DerivativesProduct and Quotient RulesDerivatives of Trigonometric FunctionsChain RuleImplicit DifferentiationTangent Lines and Higher Order DerivativesDerivatives of Exponential FunctionsDerivatives of Logarithmic FunctionsDerivatives of Inverse Trigonometric FunctionsApplications of DerivativesExtreme Values of FunctionsIncreasing and Decreasing IntervalsLocal ExtremaConcavityPoints of InflectionGraphical AnalysisMean Value TheoremLinearizationDerivatives of InversesL'Hospital's RuleMotionRelated RatesIntegralsAntiderivativesDefinite Integrals - Geometric ApproachRectangular Approximation Method (RAM)Trapezoidal RuleProperties of Definite IntegralsFTC - Derivative of an IntegralFTC - Graphical AnalysisFTC - Integral Evaluation (Polynomials)FTC - Integral Evaluation (Non-Polynomials and Function Values)Average ValueIntegration by SubstitutionIntegration by Partial Fractions (BC only)Integration by Parts (BC only)Improper Integrals (BC only)Applications of IntegralsDifferential Equations in One VariableSeparable Differential EquationsSlope FieldsExponential Growth and DecayMotion and PositionTotal DistanceAccumulation ProblemsRate In Rate OutArea Between CurvesVolume - Solids of RevolutionVolume - Cross-SectionsIntegration With Respect to the Y-AxisEuler's Method (BC only)Logistic Growth (BC only)Sequences and Series (BC only)Derivatives and Integrals of SeriesMaclaurin SeriesTransforming Maclaurin SeriesTaylor SeriesAlternating Series Error BoundLagrange Error BoundGeometric, Nth Term and Ratio TestsInterval of ConvergenceIntegral and P-Series TestsAlternating Series TestDirect Comparison TestLimit Comparison TestParametric, Vector and Polar Functions (BC only)Parametric FunctionsArc LengthVectorsPolar Functions - Slope and Basic AreaPolar Functions - Advanced Area