This is the introductory linear algebra and vector geometry course taken by all STEM students in U0. Some aspects of the course builds off the Grade 12 calculus and vectors course in high school, but most of the material is new.

Fundamentals objects and operations: vectors, matrices, Gauss-Jordan Elimination, norm/magnitude, unit vector, normal vector, dot product, cross product, vector-matrix algebra, matrix inverse, matrix transpose, determinants. Theory: linear combinations, span, basis, dimension, subspaces, kernel, image, Rank-Nullity Theorem, linear transformations, diagonalization, elementary matrices, eigenvalues and eigenvectors, adjugates, Cramer's Rule Applications: solving systems of linear equations, changing coordinate systems, curve fitting, solving discrete dynamical systems

The professor was nice and willing to answer student's questions. His explanations and handwriting were, however, not super clear.

Each lecture has associated practice problems with solutions posted later, do these to fully understand the topics. The webworks offer good repetitive practice. The tutorials are a must-go, as they provide clarity on the more theoretical aspects of the course. These help you prepare for the midterms and final, which were both fairly challenging.

Overall a good course, the first half advanced high school vector and matrix manipulation. The second half got more challenging conceptually and require solid understanding for each lecture. Pay attention to converting geometric into matrices and change of base.

Look at textbook and YouTube 3 blue 1 brown if needed. Try to figure out questions on worksheet for each lecture and tutorial.

Content started out pretty easy, but soon picked up in difficulty quite quickly once it went into detail and harder theory. Requires consistent practise and engagement to score well. Prof organised the course very well. There was ample avenues of help offered to students, there's no way you can't find help if you need it.

Tutorial problems help you think about the theories in different ways, as well as force you to examine your knowledge of the material. They help. Reach out for help as well, office hours are offered all the time. You need robust understanding of the theories and their limitations to do well in this course. Calculations are easy but thinking isn't.

If you took high school vectors it'll help a bit with the more geometric aspects of this course (and you'll know at least how to solve a matrix). Content was a bit challenging but very interesting.

Go to tutorials.