calculus

Calculus Essentials

Introduction to Calculus

calculus

Pre-Requisites

Mastering of Calculus

Understanding Limits and Continuity, Derivatives and Rates of Change, The Concept of the Integral

Differentiation

Basic Differentiation Rules, The Chain Rule, Product Rule, and Quotient Rule, Implicit Differentiation and Higher-Order Derivatives

Applications of Derivatives

Curve Sketching and Optimization, Related Rates Problems, Mean Value Theorem

Integration

Definite and Indefinite Integrals, Integration by Substitution, Fundamental Theorem of Calculus

Integrals & Derivatives

Applications of Integrals

Area Between Curves, Volume by Disks, Washers, and Shells, Work, Center of Mass, and Differential Equations

Sequences & Series

Sequences and Series

Convergence and Divergence of Series, Taylor and Maclaurin Series, Power Series and Radius of Convergence

Multivariable Calculus

Partial Derivatives and Gradient Vectors, Double and Triple Integrals, Line Integrals and Green’s Theorem

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(Ages: 8yrs - College/Adult)

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Pre-recorded class/sessions using a step-by-step approach to build confidence and problem-solving skills. 
(Ages: 14yrs - 18yrs)

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Students should currently be enrolled in a math program/class or have taken the class in the past.

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Wrap-Up

Review and Introduction to Differential-Equations