This Calculus 1 lecture file (pdf) introduces the students to the topic of linear approximation (aka linearization) and differentials.

Many examples are interspersed throughout.

Typed in LaTeX for a beautiful and professional look.

For these same notes, together with the scaffolded version, click here.

If you liked this product, there are other Calculus 1 lecture notes you may enjoy:

• Introduction to Limits
• Limit Laws, Calculating Limits, Squeeze Theorem
• Continuity
• Differentiation Rules
• Implicit Differentiation
• Derivatives of Logarithmic Functions & Logarithmic Differentiation
• L'Hopital's Rule, Indeterminate Forms
• Curve Sketching
• Mean Value Theorem (MVT)
• Absolute Extrema (Maxima & Minima)
• Newton's Method