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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)
Tekijä:
Will McGuffey
Aiheet:
Differentiaali- ja integraalilaskenta
"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
Sisällysluettelo
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
Seuraava
Instantaneous Rates of Change
Uusia resursseja
Pathway to Proof: Triangle Angles
Slope and Road Signs
Model sferyczny - sześcian-ośmiościan
Angle Addition: Warm Up Exercises
Damped Trochoidal Curve
Löydä Materiaaleista
equation
Radian Measure in Unit Circle
Point of intersection and angle between 2 lines
pr_1
Si Yantra 112
Löydä aiheita
Pyramidi
Lieriö
Piiri
Binomijakauma
Yhtälöt
