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Unit 1 - Limits and Continuity

§1.1 Can Change Occur at an Instant?

§1.2 Defining Limits and Using Limit Notation

§1.3 Estimating Limit Values from Graphs

§1.4 Estimating Limit Values from Tables

§1.5 Determining Limits Using Algebraic Properties

§1.6 Determining Limits Using Algebraic Manipulation

§1.7 Selecting Procedures for Determining Limits

§1.8 Determining Limits Using the Squeeze Theorem

§1.9 Connecting Multiple Representations of Limits

§1.10 Exploring Types of Discontinuities

§1.11 Defining Continuity at a Point

§1.12 Confirming Continuity Over an Interval

§1.13 Removing Discontinuities

§1.14 Infinite Limits and Vertical Asymptotes

§1.15 Limits at Infinity and Horizontal Asymptotes

§1.16 Intermediate Value Theorem (IVT)

Unit 2 - Differentiation: Definition and Fundamental Properties

§2.1 Average and Instantaneous Rate of Change

§ 2.2 Defining the Derivative of a Function and Using Derivative Notation

§2.3 Estimating Derivatives of a Function at a Point

§2.4 Connecting Differentiability and Continuity

§2.5 The Power Rule

§2.6 Derivative Rules: Constant, Sum, Difference, and Constant Multiple

§2.7 Derivatives of cos(x), sin(x), e^x, and ln(x)

§2.8 The Product Rule

§ 2.9 The Quotient Rule

§2.10 Derivatives of tan(x), cot(x), sec(x), and csc(x)

Unit 3 - Differentiation: Composite, Implicit, and Inverse Functions

§3,1 The Chain Rule

§3,2 Implicit Differentiation

§3.3 Differentiating Inverse Functions

§3.4 Differentiating Inverse Trig Functions

§3.5 Selecting Procedures for Derivatives

§3.6 Calculating Higher Order Derivatives

(updated 10/18/21)