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Welcome to the Videos Page
Below you will find videos on specific mathematics topics. Over time, more videos will be posted. While I hope you find these helpful, interacting directly with me by asking and answering questions and by providing further explanations and immediate feedback.
Algebra
Parallel Lines in the Plane: This video reviews how to recognize parallel lines in the plane algebraically. This is useful for students in algebra courses or for preparation for the SAT or ACT.
Perpendicular Lines in the Plane: This video reviews how to recognize perpendicular lines in the plane algebraically. This is appropriate for students in high school algebra courses, and college algebra courses and for students preparing for the SAT and ACT.
Quadratic Equations and the Discriminant: This video presents an application of the discriminant in the quadratic formula. This is appropriate for students in algebra courses or studying for the SAT or ACT.
Calculus
Introduction to Limits: This video introduces the concept of a limit as typically introduced in a calculus course. Limits are explored geometrically and numerically, and an intuitive defintion is provided. Examples of limits that do not exist are provided. One-sided limits are also introduced.
Continuity: This video introduces the concept of continuity as presented in calculus or AP calculus courses. Removable, infinite, and jump discontinuities. Examples are provided.
Tangent Lines, Limts, and the Derivative: This video illustrates the several standard limit computation in the context of calculating derivatives using the limit definition of the derivative. This also illustrates finding a tangent list to a curve at at point. This is appropriate for students in first semester calculus or AP Calculus. Precalculus students may also find this useful.
The Chain Rule: This video provides an introduction to the Chain Rule, the differentiation rule for the composition of functions, including several color-coded examples.
Taylor Series and Integration: This video provides an example of using a Taylor series to approximate a definite integral. This is appropriate for second semester calculus or AP Calculus BC.