This 9-minute video lesson gives an example of using initial conditions to solve a repeated-roots differential equation .[Differential Equations playlist: Lesson 21 of 45]

This 12-minute video lesson looks at what happens when the characteristic equation only has one repeated root. [Differential Equations playlist: Lesson 20 of 45]

This 12-minute video lesson introduces separable differential equations. [Differential Equations playlist: Lesson 2 of 45]

This 14-minute video lesson explains how the product of the transforms of two functions relates to their convolution. [Differential Equations playlist: Lesson 44 of 45]

This 10-minute video lesson looks at using the method of undetermined coefficients to solve nonhomogeneous linear differential equations. [Differential Equations playlist: Lesson 22 of 45]

This 11-minute video lesson gives another example using undetermined coefficients. [Differential Equations playlist: Lesson 23 of 45]

This 8-minute video lesson gives another example where the nonhomogeneous part is a polynomial. [Differential Equations playlist: Lesson 24 of 45]

This 6-minute video lesson concludes the series on undetermined coefficients by putting it all together. [Differential Equations playlist: Lesson 25 of 45]

This 12-minute video lesson shows how to use the convolution Theorem to solve an initial value problem. [Differential Equations playlist: Lesson 45 of 45]

This 19-minute video lesson shows how to solve a non-homogeneous differential equation using the Laplace Transform. [Differential Equations playlist: Lesson 35 of 45]

So we know that all matter is made up of atoms, but what is an atom made out of? Chemists describe the structure of atoms using models. This section will cover the Bohr model, photoelectric effect, absorption and emission spectra, quantum numbers, and electron configurations.

Elementary Algebra is designed to meet the scope and sequence requirements of a one-semester elementary algebra course. The book’s organization makes it easy to adapt to a variety of course syllabi. The text expands on the fundamental concepts of algebra while addressing the needs of students with diverse backgrounds and learning styles. Each topic builds upon previously developed material to demonstrate the cohesiveness and structure of mathematics.

This chapter's objective is to raise interesting tax ethics issues in practical contexts. There are 43 notes and questions to prompt and guide discussions, and primary source materials to inform the discussions (e.g., cases, IRC provisions, and Circular 230 excerpts). These Teaching Notes flesh out the notes and questions, summarize the cases, and provide additional information and suggestions for readings. Of course, the ultimate test for casebook materials lies in student interaction based on the materials, so I assigned the materials to my students, and, taking their reaction into account, I have made suggestions below as to materials to eliminate or emphasize in customizing for your own class.

The Best Evidence Rule, contained in Article X of the Federal Rules of Evidence (Rules 1001-1008) and state counterparts, is a Rule that requires a party seeking to prove the contents of a writing, recording, or photograph to produce the original (or a duplicate) or account for its nonproduction. Through a series of cases and hypotheticals drawn from actual cases, this chapter gives readers a roadmap for how to address any Best Evidence Rule issue in practice.

The anti-jury impeachment rule, contained in Federal Rule of Evidence 606(b) and state counterparts, is a rule preventing the admission of jury testimony or statements in connection with an inquiry into the validity of the verdict, subject to certain exceptions. Through a series of cases and hypotheticals drawn from actual cases, this chapter gives readers a roadmap for how to address any jury impeachment issue in practice.

The Rape Shield Rule, contained in Federal Rule of Evidence 412 and state counterparts is a Rule preventing the admission of evidence concerning the sexual predisposition and behavior of an alleged victim of sexual misconduct, subject to certain exceptions. Through a series of cases and hypotheticals drawn from actual cases, this chapter gives readers a roadmap for how to address any Rape Shield Rule issue in practice.

Overview of the Intermediate Value Theorem, the Extreme Value Theorem and the Mean Value Theorem.