# 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)