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Math 160 — Chapter 2

Limits, Continuity, and the Derivative

Section	Written Introduction	Video Introduction	Worked Examples
(2.1) The Tangent and Velocity Problems	Velocity (Incognito) Tangent Lines and Rates of Change (Paul)	Limits Intro (Khan)	Tangent and Velocity Problems (Dahal) 2.1 Practice Problems (O.Duncan)
(2.2) Limit of a Function	Numerical Limits (Incognito) Graphical Limits (Incognito) Infinite Limits (Incognito) Limit of a Function (Paul) One Sided Limits (Paul)	Approximating limits (Khan) Estimating Limits (Table) (Khan)	Limit of a Function (Dahal) 2.2 Practice Problems (O.Duncan)
(2.3) Calculating Limits Using the Limit Laws	Computing Limits (Incognito) Squeeze Theorem (Incognito) One Sided Limits (Paul) Limit Properties (Paul)	Limit Properties (Khan) Limit by Substitution (Khan) Limits by Factoring (Khan)	Computing Limits (Dahal) 2.3 Practice Problems (O.Duncan)
(2.5) Continuity	Continuity (Incognito) I.V.T. (Incognito) Continuity (Paul)	Continuity (Khan)	Continuity (Dahal) 2.5 Practice Problems(O.Duncan)
(2.6) Limits at Infinity, Horizontal Asymptotes	Limits at Infinity (Incognito) Limits at Infinity (I) (Paul) Limits at Infinity (II) (Paul)	Limits at Infinity (Khan)	Limits at Infinity (Dahal) 2.6 Practice Problems (O.Duncan)
(2.7) Derivatives and Rates of Change	Definition of the Derivative (Incognito) Differentiability (Incognito) Definition of the Derivative (Paul)	Instantaneous Rate of Change (Khan)	Derivative at a Point (Dahal) 2.7 Practice Problems (O.Duncan)
(2.8) Derivative as a Function	Definition of the Derivative (Paul)	Derivative as a Concept (Khan)	Derivative Using the Definition (Dahal) 2.8 Practice Problems (O.Duncan)

Math 160 — Chapter 3

Differentiation Rules and Applications

Section	Written Introduction	Video Introduction	Worked Examples
(3.1) Derivative of Polynomials and Exponential Functions	Power Rule (Incognito) Basic Differentiation Rules (Incognito) Derivatives of Natural Exponential and Logarithmic Functions (Incognito) Differentiation Formulas (Paul)	Basic Derivative Formulas (Khan)	Derivatives of Polynomials (Dahal) 3.1 Practice Problems (O.Duncan)
(3.2) Product and Quotient Rules	Product Rule (Incognito) Quotient Rule (Incognito) Product and Quotient Rules (Paul)	Product, Quotient and Chain Rules (Khan)	Product and Quotient Rules (Dahal) 3.2 Practice Problems (O.Duncan)
(3.3) Derivatives of Trigonometric Functions	Derivatives of Sine and Cosine Functions (Incognito) Derivatives of Trigonometric Functions (Paul)	Trigonometric Function Differentiation (Khan)	Derivatives of Trigonometric Functions (Dahal) 3.3 Practice Problems(O.Duncan)
(3.4) The Chain Rule	The Chain Rule (Incognito) The Chain Rule (Paul)	The Chain Rule (Khan)	The Chain Rule (Dahal) 3.4 Practice Problems (O.Duncan)
(3.5) Implicit Differentiation	Implicit Differentiation (Incognito) Derivatives of Inverse Trigonometric Functions (Incognito) Implicit Differentiation (Paul)	Implicit Differentiation (Khan)	Implicit Differentiation (Dahal) 3.5 Practice Problems (O.Duncan)
(3.6) Derivatives of Logarithmic Functions	Derivatives of Exponential And Logarithmic Functions (Incognito) Table of Derivatives (Incognito) More Problems on Derivatives (Incognito) Derivatives of Exponential and Logarithm Functions (Paul)	Derivatives of Logarithm Functions (Khan)	Derivatives of Log Functions (Dahal) 3.6 Practice Problems (O.Duncan)
(3.7) Rates of Change in the Nat. and Soc. Sciences	Rectilinear Motion (Incognito) Rates of Change (Incognito) Rates of Change (Paul)	Rates of Change (Khan)	Rectilinear Motion (Dahal) 3.7 Practice Problems (O.Duncan)
(3.9) Related Rates	Related Rates (Incognito) Related Rates (Paul)	Related Rates Intro (Khan)	Related Rates (Dahal) 3.9 Practice Problems (O.Duncan)
(3.10) Linear Approximation	Linear Approximation (Incognito) Linear Approximations (Paul)	Local Linearization (Khan)	Linear Approximation (Dahal)

Math 160 — Chapter 4

Analyzing Functions with Derivatives

Section	Written Introduction	Video Introduction	Worked Examples
(4.1) Maximum and Minimum Values	Critical Numbers (Incognito) The Extreme Value Theorem (Incognito) Maximum and Minimum Values (Paul)	Finding Absolute Extrema on a Closed Interval (Khan)	Maximum and Minimum Values (Dahal)
(4.2) The Mean Value Theorem	Mean Value Theorem (Incognito) Mean Value Theorem (Paul)	Mean Value Theorem (Khan)	Mean Value Theorem (Dahal)
(4.3) How Derivatives Affect the Shape of a Graph	Increasing Decreasing Functions (Incognito) Concavity (Incognito) The Shape of a Graph (I) (Paul) The Shape of a Graph (II) (Paul)	Curve Sketching (Khan)	Shape of a Graph (Dahal) 4.3 Practice Problems(O.Duncan)
(4.4) Indeterminate Forms and l'Hospital's Rule	L'Hopitals Rule (Incognito) l'Hospitals Rule and Indeterminate Forms (Paul)	L'Hospitals Rule Introduction (Khan)	L'Hospitals Rule (Dahal) 4.4 Practice Problems (O.Duncan)
(4.7) Optimization Problems	Optimization (Incognito) Optimization (Paul)	Optimization (Khan)	Optimization (Dahal) 4.7 Practice Problems (O.Duncan)
(4.9) Antiderivatives	Indefinite Integrals (Incognito) Indefinite Integrals (Paul) Properties of Indefinite Integrals (Paul)	Antiderivatives and Indefinite Integrals (Khan)	Antiderivatives (Dahal) 4.9 Practice Problems (O.Duncan)

Math 160 — Chapter 5

Integrals: Areas, Accumulation, and the FTC

Section	Written Introduction	Video Introduction	Worked Examples
(5.1) Areas and Distances	Riemann Sums (Incognito) Area Problem (Paul)	Riemann Sums (Khan)	Areas (Dahal) 5.1 Practice Problems (O.Duncan)
(5.2) The Definite Integral	Definite Integrals (Incognito) Computing Definite Integrals (Paul)	Definite Integrals (Khan)	The Definite Integral (Dahal) 5.2 Practice Problems (O.Duncan)
(5.3) The Fundamental Theorem of Calculus	The Fundamental Theorem of Calculus, II (Incognito) Properties of Definite Integrals (Incognito) Applications of Definite Integrals (Incognito) The Fundamental Theorem of Calculus, I (Incognito) Computing Definite Integrals (Paul)	Definite Integral Computation (Khan)	Sections 5.3 and 5.4 (Dahal) 5.3 Practice Problems (O.Duncan)