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• 1 - Review
• 1.1 - Algebra Review for Calculus (6)
• 1.2 - Function Review for Calculus (5)
• 2 - Limits
• 2.1 - Limits by Graphing (2)
• 2.2 - Continuity (4)
• 2.3 - Basic Limit Laws and Strategy for Finding LImits (8)
• 2.4 - Finding Limits to Infinity (4)
• 2.5 - Trigonometric Limits
• 2.6 - The Intermediate Value Theorem
• 2.7 - The Formal Definition of a Limit (4)
• 3 - Derivatives
• 3.1 - The Definition of the Deivative and the Tangent Line
• 3.2 - Finding the Derivative of a Function Graphically (4)
• 3.3 - Important Derivative Notation and the Power Rule (4)
• 3.4 - Basic Derivative Laws
• 3.5 - Derivative of Exponential Functions (2)
• 3.6 - Interpretation of the Derivative (5)
• 3.7 - The Second Derivative and its Interpretation
• 3.8 - Product Rule (5)
• 3.9 - Quotient Rule (2)
• 3.10 - Derivative of Trigonometric Functions
• 3.11 - Chain Rule (9)
• 3.12 - Implicit Differentiation (6)
• 3.13 - Derivative of Inverse Functions (5)
• 3.14 - Derivative of the Natural Logarithm
• 3.15 - Logarithmic Differentiation (5)
• 3.16 - The Derivative of Hyperbolic Functions
• 3.17 - Related Rates (7)
• 4 - Applications of Derivatives
• 4.1 - Linear Approximations (6)
• 4.2 - Extreme Values (10)
• 4.3 - The Mean Value Theorem
• 4.4 - Finding Local Extrema Using the First Derivative Test (3)
• 4.5 - The Second Derivative Test (2)
• 4.6 - Concavity and Inflection Points (5)
• 4.7 - Curve Sketching (3)
• 4.8 - L'Hospital's Rule (5)
• 4.9 - Optimization (7)
• 4.10 - Newton's Method (2)
• 4.11 - Antiderivatives (7)
• 5 - Integration
• Class Lectures USD
• Class Lectures City College
• 5.1 - The Area Underneath a Curve (3)
• 5.2 - The Definite Integral
• 5.3 - The Fundamental Theorem of Calculus I (2)
• 5.4 - Properties of Integrals (5)
• 5.5 - The Fundamental Theorem of Calculus II (4)
• 5.6 - Interpretation of the Integral (7)
• 5.7 - Integration by Substitution (6)
• 6 - Applications of Integration
• Class Lectures USD
• 6.1 - Areas Between Curves (6)
• 6.2 - Volumes of Surfaces of Revolution
• 6.3 - Volumes as the Integral of a Cross-Sectional Area
• 6.4 - Volumes by Cylindrical Shells
• 6.5 - Work
• 7 - Techniques of Integration
• Class Lectures City College
• Class Lectures USD
• 7.2 - Integration by Parts
• 7.3 - Trigonometric Integrals
• 7.4 - Trigonometric Substitution
• 7.5 - Partial Fractions
• 8 - More Applications of Integration
• Class Lectures City College
• Class Lectures USD
• 8.2 - Fluid Pressure and Force
• 8.3 - Center of Mass
• 9 - Differential Equations and their applications
• Class Lectures City College
• 10 - Sequences and Series
• Class Lectures City College
• Class Lectures USD

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