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CALCULUS I LECTURES

Limits: Limits, Rates of Change & Tangent Lines

Limits: A Numerical and Graphical Approach

Limits: Basic Limit Laws


Limits: Limits and Continuity

Limits: Evaluating Limits Algebraically

Limits: Trigonometric Limits (Includes the Squeeze Theorem)

Derivatives: The Limit Definition of the Derivative
Derivatives: Derivatives as a Function

Derivatives: Product and Quotient Rules

Derivatives: Higher Order Derivatives

Derivatives: Trigonometric Derivatives

Derivatives: The Chain Rule

Derivatives: Implicit Differentiation

Curve Sketching: Absolute and Relative Extrema, Finding Critical Numbers

Curve Sketching: The Mean Value Theorem and Slope Charts

Curve Sketching: Concavity Charts

Curve Sketching: Complete Graphs with Asymptotes

Integration: Antiderivatives

Integration: Approximating and Computing Area Under a Curve

Integration: Riemann Sums

Integration: The Fundamental Theorem of Calculus (Part 1)

Integration: U-Substitution (aka Change of Variable)

Integration: Calculating the Area Between Curves

Integration: Volume (Disk/Washer Method)

Integration: Volume (Shell Method)
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