Lectures

Lectures

Fall 2014

Department of Mathematical Sciences

Lectures

Mathematics Department

(Last Updated: 09/03/2014)

There are 3 ways to supplement your classroom lectures. The first two are video lectures. UML lectures are by a professor here. Khan Academy lectures comprise a multitude of videos on many topics studied by a calculus student. Lastly, there are printed lecture notes below. Feel free to read them.

UML Video Lectures

Khan Academy Lectures

Lecture 1 Factoring

Lecture 2: Solutions of Equations

Lecture 3A: Basic Functions

Lecture 3B: Quadratics et. al.

Extra Problems

Lecture 4A: Trigonometric Functions I

Lecture 4B: Trigonometric Functions II

Lecture 5: Exponential and Inverse Functions

Lecture 6: Logarithmic Functions

Lecture 7: Rates of Change and Tangents

Lecture 8: Limit of a Functions, Limit Laws

Lecture 9: One-Sided Limits

Lecture 10: Continuity

Lecture 11: Limits at Infinity, Infinite Limits and Asymptotes

Lecture 12: Tangents and Derivatives at a Point

Lecture 13: The Derivative as a Function

Lecture 14: Basic Differentiation Rules

Lecture 15: The Product and Quotient Rule

Lecture 16: Derivatives of Trigonometric Functions

Lecture 17: The Chain Rule

Lecture 18: Implicit Differentiation

Lecture 19: Inverse Functions and Logarithms

Lecture 20: Inverse Trigonometric Functions

Lecture 21: Related Rates

Lecture 22: Linearization and Differentials

Lecture 23: Extreme Values of a Function

Lecture 24: The Mean Value Theorem

Lecture 25: Geometry: First and Second Derivative Tests

Lecture 26: Curve Sketching

Lecture 27: l'Hospital's Rule

Lecture 28: Optimization

Lecture 29 Newton's Method

Lecture 30: Antiderivatives

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