Calendar Description

Assumed Background

Learning objectives completed before this course. I am assuming that the students will do this course in 2nd term of their first year. At least one course in Grade 12 Mathematics (with U TAG) Completed MATH 1007 (Elementary Calculus) with a grade of ... Either completed or concurrently registered in MATH 1104 (Linear Algebra)

Should have reasonable idea of

1. Given a solution for a Grade 12 Math problem, should be able to verify it with minimal help.
2. Should have Mathematical sophistication, for example should be able to solve/show that
(a) Sum of two odd numbers is even
(b) Not all real numbers are rationals

(c) The number of prime numbers is infinite (d) The number of possible subsets of set of size n is 2^n (e) Should know the meaning and significance of basic functions: log x, e^x, x^2, x, x^3 (f) Should know what is a function, what are properties of function. (g) Given a system three linear equations, in three variables, should know how to solve it. (h) Should know how to solve a quadratic equation (i) Should know how to compute a formula for the sum of first n natural numbers. ....

Learning Objectives

Objectives for the whole course

Topics

Topic 1

Learning objectives for topic 1

Topic 2

Learning objectives for topic 2