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Outline
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)
Author:
Will McGuffey
Topic:
Calculus
"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
Table of Contents
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
Next
Instantaneous Rates of Change
New Resources
Area of a Trapezoid
Fractal Tétraèdre. Dilatation -1/2 centre triangles
Rectangle Construction Template (V2)
Untitled
רישום חופשי
Discover Resources
Line Segments, Rays, and Lines
Simetri putar belah ketupat
Konstruksi Elips
Modul 14A_Wa Ode Eva Devianti_SMAN 2 Baubau
Untitled
Discover Topics
Integers
Histogram
Circle
Difference and Slope
Matrices
