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Esquema
Calculus I (Dr. McGuffey, MATH 141, USC)
Limits and Continuity (Pt. 1)
Limits and Continuity (Pt. 2)
Derivatives
Differentiation
Implicit Differentiation
Applications (Pt. 1): Related Rates & Linearization
Applications (Pt. 2): Analyzing Function Behavior
Integrals & Integration
Integration Applications
Calculus I (Dr. McGuffey, MATH 141, USC)
Autor:
Will McGuffey
Tema:
Cálculo
"Daily" interactive graphs to introduce various Calculus concepts in Dr. McGuffey's Math 141 Calculus I course at University of South Carolina. Updated: Fall 2024
Tabla de contenidos
Limits and Continuity (Pt. 1)
Instantaneous Rates of Change
Limits from a Graph
Continuity
Limits of Rational Functions
Limits and Continuity (Pt. 2)
Evaluating Limits Algebraically (Motivation)
Formal Definition of Limit
Derivatives
The Derivative at a Point
Differentiability
The Derivative Function
Graphs of Derivative Functions
Differentiation
Basics of Differentiation
The Product Rule
The Chain Rule
Higher-Order Derivatives
Implicit Differentiation
Implicit Differentiation
Derivatives of Inverse Functions
Application: Free Fall
Application: Simple Harmonic Oscillators
Application: Damped Oscillations
Applications (Pt. 1): Related Rates & Linearization
Related Rates (Circle Example)
Related Rates (Sphere Example)
Linearization
Applications (Pt. 2): Analyzing Function Behavior
Extreme Values & Critical Points
First Derivatives & Monotonicity
Second Derivatives & Concavity
Integrals & Integration
Estimating Area with Riemann Sums
Antiderivatives
Integration Applications
The Fundamental Theorem of Calculus (Pt. 2)
Average Value
Shell Method (Volumes of Revolution)
Disk/Washer Method for Solids of Revolution
Siguiente
Instantaneous Rates of Change
Nuevos recursos
Right Triangle Inscribed in a Semicircle
Odd Function Explorer
Segment Addition Postulate (Mild Questions)
Identifying Solids Formed by Rotation
Isosceles Right Triangle
Descubrir recursos
tessellation two
Plane: Linear combination of 2 non-parallel vectors
Calc Art
Combining two sine waves
Monstrosity
Descubre temas
Diagrama de cajas
Diagramas
Semejanza
Cuadriláteros
Procesos estocásticos o aleatorios
