Physics II is an undergraduate course on basic electromagnetism that I teach for engineers, and it includes topics from optics as a natural application. Among the many challenges of conducting video lectures during the local restrictions of the SARS-CoV-2 epidemic was finding demonstration material. In this article, I describe how these…

In this article special sequences involving the Butterfly theorem are defined. The Butterfly theorem states that if M is the midpoint of a chord PQ of a circle, then following some definite instructions, it is possible to get two other points X and Y on PQ, such that M is also the midpoint of the segment XY. The convergence investigation of those…

Understanding the multidimensional process of college student retention and success and faculty's pivotal role in making a positive difference can be daunting without an easily adaptable organizing framework. Although classic models of college student attrition provided an essential, valuable foundation and a guiding framework for early nursing…

Students pursuing applied degrees often express their desire for learning experiences that help them transition from academic to professional settings. The Teaching with Industry (TWI) model is a course design that combines videoconferencing technologies with best practices in online instruction to support greater industry presence during class…

Nonlinear equations are usually solved numerically. However, approximated analytical solutions of nonlinear equations are useful as an initial iteration point for numerical methods. Furthermore, these analytical approximations are sometimes quite close to the actual root. In order to teach at undergraduate level how to perform this kind of…

Based on our work teaching undergraduate Calculus courses, we offer insight into teaching the chain rule to reduce cognitive load for students. A particularly difficult topic for students to grasp, problems likely arise due to student struggles with the concept of function and, particularly, function composition relative to when they first…

The static equilibrium properties of a spool, resting on an incline and subject to the tension exerted by a string wrapped around the core cylinder, are studied by means of Newtonian mechanics. The overall behaviour of this system is imagined to be similar to that of a doggie kept on a leash. Starting from the well-known mechanical properties of…

As an alternative to the traditional metallocene laboratory targets, students synthesize Cp[subscript 2]TiCl[subscript 2], bis([eta][superscript 5]-cyclopentadienyl)dichloridotitanium(IV), from the mildly moisture-sensitive cis-TiCl[subscript 4](thf)[subscript 2]. Air-free handling techniques are emphasized, but the (mostly) air-stable,…

Scanning probe microscopy such as atomic force microscopy has become increasingly integrated and relevant in undergraduate laboratory investigations. As the "hands and eyes of the nanoworld", atomic force microscopes (AFMs) continue to be used to innovate the nanowriting process for data storage and in the exploration of novel materials…

Mercury beating heart (MBH) is a well-known demonstration of redox processes. However, the development and application of the MBH system are significantly restricted due to its safety issues. Here, a direct current electric field-enabled gallium-based liquid metal heartbeat in a salt solution or alkaline solution is introduced as a demonstration…

Fieldwork is a meaningful and authentic learning experience that is rarely included in undergraduate chemistry courses. In this laboratory, we visited a hot spot of perfluoroalkyl acid (PFAA) contamination identified in 2012, in Binbrook, Ontario, Canada, a 1 h drive from the University of Toronto. The persistence and unique environmental…

A laboratory activity was developed to teach freezing point depression and colligative properties to introductory-level chemistry students. The laboratory uses food-grade reagents and is delivered in two units that can be taught in a single 2 hour session or two separate sessions. The total cost of the consumables is 1 USD. In the first part of…

This undergraduate laboratory experiment is designed for first-year general chemistry students with the goal of introducing the brilliant colors and magnetic properties of transition metal complexes within a bioinorganic/cell biology context. In the first laboratory period, a coordination complex formed from ferric chloride and maltol is…

A new undergraduate organic laboratory experiment has been developed for amide bond formation between biorenewable 2-furoic acid and either of two substituted piperazines to prepare medicinally relevant amide products using a procedure with industrial significance. The reactions proceeded smoothly under ambient conditions using the combination of…

A new method to determine a ternary phase diagram of benzene-acetic acid-water system is provided to upper-division undergraduate students. The partially miscible liquid phase region can be accurately constructed using isothermal titration microcalorimetry (ITC). Compared with the traditional visual method, ITC can provide precise data and more…