Lecture Notes (PDF)

Below are the lecture note PDF files that you need to print out and bring with you to class each week.

Notes: Limits (L)

• L1: Graphical Limits

• L2: Numerical Limits

• L3: Algebraic Limits

• L4: Infinite Limits

• L5: Indeterminate Limits

• L6: Continuous Functions

• L7: Limits at Infinity

• L8: L’Hospital’s Rule

Notes: Derivatives - Conceptual (DC)

• DC1: Tangent Lines

• DC2: Instantaneous Velocity

• DC3: Derivative (Limit Definition)

• DC4: Differentiability

• DC5: Estimating Derivatives Graphically

• DC6: Estimating Derivatives Numerically

• DC7: Equations of Tangent Lines

Notes: Derivative Rules (D)

• D1: Basic Derivative Rules

• D2: Product Rule

• D3: Quotient Rule

• D4-D6: Chain Rule

• D7: Using Multiple Derivative Rules

• D8: Implicit Differentiation

• D9: Logarithmic Differentiation

Notes: Derivative and Graphs (DG)

• DG1: Graphical Intervals of Increase / Decrease

• DG2: Computing Intervals of Increase / Decrease

• DG3: Graphical Intervals of Concavity

• DG4: Computing Intervals of Concavity

• DG5: Reading Graphs of Derivatives

Notes: Optimization (O)

• O1: First Derivative Test

• O2: Second Derivative Test

• O3: Absolute Extrema

• O4: Constrained Optimization

• O5: Applied Optimization

Notes: Integration Rules (I)

• I1: Antiderivatives and Indefinite Integrals

• I2: Definite Integrals

• I3: Substitution Rule

• I4: Substitution Rule for Definite Integrals

Notes: Integration - Conceptual (IC)

• IC1: Particular Antiderivatives

• IC2: Area Under the Graph

• IC4: Riemann Sums