Math Resources

MATA23 (Linear Algebra 1)

The following topics cover systems of linear equations, matrices, Gaussian elimination; basis, dimension; dot products; geometry to Rn; linear transformations; determinants, Cramer's rule; eigenvalues and eigenvectors, diagonalization.

The following is a list of online reference websites which cover all the material in MATA23.

Notes:

  • Wolfram Mathworld (type in any linear algebra phrase into the search bar e.g. Hermitian matrix).

Tools:

Free online tools that can be used to perform many different Linear Algebra Operations:

Videos:

Videos that demonstrate several techniques of Linear Algebra

Lectures:

Linear Algebra lectures by professors from other universities

Complete Courseware:

Complete online courses (including lecture notes, assignments, and exams) of universities

MATA30/31/32 (Calculus I)

An introduction to the basic techniques of Calculus. Elementary functions: rational, trigonometric, root, exponential and logarithmic functions and their graphs. Basic calculus: limits, continuity, derivatives, derivatives of higher order, analysis of graphs, use of derivatives; integrals and their applications, techniques of integration.

Notes:

Reference websites which cover all the material in MATA30

Tools:

Free online tools that can be used to solve many different single-variable calculus operations:

Videos:

Videos that explain important concepts and demonstrate the different techniques of introductory calculus.

Lectures:

Complete series of lecture videos from other institutions

Complete Courseware:

Complete online Calculus course content (including lecture notes, assignments, and exams) of universities.

MATA35/36/37 (Calculus II)

Topics to be covered include: Newton's method, approximation of functions by Taylor polynomials, numerical methods of integration, complex numbers, sequences, series, Taylor series, differential equations.

Notes:

Reference websites which cover all the material in MATA36

Tools:

Free online tools that can be used to solve many different single-variable calculus operations:

Videos:

Videos that explain important concepts and demonstrate the different techniques of introductory Calculus II.

Lectures:

Complete series of lecture videos from other institutions:

Complete Courseware:

Complete online calculus course content (including lecture notes, assignments, and exams) of universities

  • MIT, Fall Semester 2005 (by Jason Starr)
  • Clark University, Fall Semester 2011 (by D. Joyce, M. Satz, and G. Maschler)

Socratic by Google

This is a helpful free app that offers help on a variety of biological related concepts. Socratic also has the function to take pictures of problems and offers possible help to solve them or connect to resources to help. The app includes videos, step-by-step explanations and external resources.  
https://socratic.org/

UTSC Research Guides  

Research advice, useful tools, and the best resources for your subject needs  by U of T librarians. Search the guides written specifically for your course at UofT. 

https://utsc.library.utoronto.ca/research-guides