Math Videos

I maintain two YouTube channels that host over 500 videos on a wide range of mathematical topics:

  • @DrTrefor is my public channel. This channel focuses on mathematical outreach and sharing interesting tidbits of mathematics with a global audience. It also contains many legacy videos from previous online courses I have taught.
  • @DrTreforUVic is my channel intended for UVic students. The playlists on this channel are exactly as they are used in my courses and are unlisted, unmonetized, and contain no calls-to-action (ex: “Like and Subscribe”).

Courses:

  • Calculus IV (Vector Calculus & ODEs) on @DrTreforUVic. This course was developed at UVic for a fully online version of Math 204 and is a near exact match to the current course coverage. Additionally, the videos are supported by two additional resources:
      • Vector Calculus Video-book. This “book” adds to the video playlist by giving text descriptions, learning objectives, pre- and post-video activities, and extra resources.
      • ODE Textbook. This book is adapted for Math 204 from the original book by Lebl, and one of its features is the embedding of the video playlist into the book itself.
  • Calculus III (Multivariable) on @DrTreforUVic. This course was developed at UVic to support Math 200 being taught in a flipped classroom style. As such the videos introduce each major topic from a conceptual viewpoint, while in class we would extend the introductory ideas and practice more challenging examples. The playlist thus does not have those latter components.
  • Calculus II on @DrTrefor. This course was developed at the University of Cincinnati to support a flipped classroom. While the topics coverage is fairly close to Math 101, the playlist focus on introducing each concepts conceptually and more challenging examples were done in the face-to-face classroom. 
  • Calculus I on @DrTrefor. This course was developed at the University of Cincinnati to support a flipped classroom. While the topics coverage is fairly close to Math 100 or Math 109, the playlist focus on introducing each concepts conceptually and more challenging examples were done in the face-to-face classroom. 
  • Discrete Math on @DrTrefor. This playlist was developed at the University of Cincinnati for a fully online course. It overlaps to some degree with both Math 151 and Math 122 at the University of Victoria, but is not close to a perfect match for either course.
  • Linear Algebra on @DrTrefor. This playlist was developed at the University of Cincinnati for a fully online course. It does a decent job of aligning with Math 110 and Math 211 topics, but has some significant difference in coverage