MAT21A videos created by AATC Math Specialists

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Chapter 1 - Functions

1.1 and 1.2 - Functions, Domain and Range, Graphing

1.3 - Trig Functions

1.5 - Exponential functions

1.6 - Logarithms and Inverse Functions

Chapter 2 - Limits and Continuity

2.1 - Rates of Change and Tangent Lines to Curves

2.2 - Limits of functions as x approaches a number

2.3 - Precise Definition of a Limit (delta - epsilon proofs)

2.4 - One-Sided Limits

2.5 - Continuity

2.6 - limits as x approaches Infinity

Chapter 3 - Derivatives

3.1 and 3.2 - Tangent Lines and Derivative at a Point

3.3 - Power Rule, Product and Quotient Rule

3.4 - Instantaneous Rate of Change and Velocity

3.5 - Trig Derivatives

3.6 - Chain Rule

3.7 - Implicit Differentiation

3.8 - Derivatives of Logarithmic functions, Logarithmic Differentiation

3.9 - Derivatives of Inverse trig Functions

3.10 - Related Rates

3.11 - Linearization and Differentials

Chapter 4 - Applications of Derivatives

4.1 - Absolute Maximum and Minimum and the Extreme Value Theorem

4.2 - Mean Value Theorem (MVT)

4.3 - Monotonic Functions and the First Derivative Test

4.4 - Concavity and Curve Sketching

4.5 - L'HĂ´pital's Rule

4.6 - Optimization (word problems)

4.7 - Newton's Method

4.8 - Anti-Derivatives

Please see the MAT21B page for videos on section 4.8