Overview

HOW THIS COURSE WORK:This course, Ace Calculus 3 in 16 Hours (The Complete Course), is intended to introduce student to the study of infinite sequences and series, vector functions, and derivatives and integrals for multivariable functions. The course includes videos, notes from whiteboard during lectures, and practice problem sets (with solutions!). I also show every single step in examples and proofs. The course is organized into the following topics:Section 2: Infinite SequencesConvergence of a sequenceProperties of a sequence: monotonic and boundedSection 3: Infinite SeriesSpecial series: geometric series, telescoping series, harmonic seriesSix convergence/divergence tests: test for divergence, integral test, comparison test, limit comparison test, alternating test, ratio test, and root testSection 4: Power SeriesTaylor series and Maclaurin seriesTaylor's inequalityThree methods: direct computation, use term-by-term differentiation/integration, and use summation, multiplication, and division of power seriesSection 5: Vectors and the Geometry of SpaceVectorsOperations of vectors: the dot product, projection, and cross productEquations of lines and planes in 3DSurfaces in 3DSection 6: Vector FunctionsDerivative and integral of vector functionsThe arc length and curvatureFrenet-Serret EquationsMotion in Space: Velocity and AccelerationSection 7: Partial DerivativesMultivariable functionsPartial derivativesInterpretations of partial derivativesTangent planesLinear approximationsChain ruleDifferentiationThe gradient vector and directional derivativesFinding extreme values of a multivariable functionLagrange multipliersSection 8: Multiple IntegralsDouble Riemann sumEstimating the volume under a surfaceIterated/double integralsDouble integral over general regionsDouble integrals in polar coordinatesSurface areaCONTENT YOU WILL GET INSIDE EACH SECTION:Videos: I start each topic by introducing and explaining the concept. I share all my solving-problem techniques using examples. I show a variety of math issue you may encounter in class and make sure you can solve any problem by yourself.Notes: In each section, you will find my notes as downloadable resource that I wrote during lectures. So you can review the notes even when you don't have internet access (but I encourage you to take your own notes while taking the course!).Assignments: After you watch me doing some examples, now it's your turn to solve the problems! Be honest and do the practice problems before you check the solutions! If you pass, great! If not, you can review the videos and notes again before moving on to the next section.THINGS THAT ARE INCLUDED IN THE COURSE:An instructor who truly cares about your successLifetime access to Ace Calculus 3 in 16 Hours (The Complete Course)HIGHLIGHTS:#1: Downloadable lectures so you can watch the videos whenever and wherever you are.#2: Downloadable lecture notes so you can review the lectures without having a device to watch/listen.#3: Seven problem sets at the end of each section (with solutions!) for you to do more practice.#4: Step-by-step guide to help you solve problems.See you inside the course!- Gina:)

Skills

Reviews