MATH 140

A repository of lecture notes for the University of Maryland's Calculus I course (MATH 140), taken in the Spring semester of 2024 with Professor Kendall Williams.

Notes are taken from a combination of Professor Williams' in-person lectures and live recordings.

Examples are pulled by Professor Williams from the textbook (Calculus with Concepts in Calculus 6th ed., by Robert Ellis and Denny Gulick).

Table of Contents

Unit 2: Limits and Continuity

Tangent Lines and Velocity (2.1)

The Limit of a Function (2.2)

Limit Rules and Examples (2.3) (WIP)

Unit 3: Derivatives

Higher Derivatives (3.5) (examples TBA)

Implicit Differentiation (3.6) (examples TBA)

Related Rates (3.7) (examples TBA)

Polynomial Approximations and the Newton-Raphson Method (3.8)

Unit 4: Applications of the Derivative

Maximum and Minimum Values (4.1)

The Mean Value Theorem (4.2)

The Consequences of the Mean Value Theorem (4.3)

Exponential Growth and Decay (4.4)

The First and Second Derivative Tests (4.5)