Revision as of 17:58, 9 March 2011

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
- Sum of two odd numbers is even
- Not all real numbers are rationals
- The number of prime numbers is infinite
- The number of possible subsets of set of size n is 2^n
- Should know the meaning and significance of basic functions: log x, e^x, x^2, x, x^3
- Should know what is a function, what are properties of function.
- Given a system three linear equations, in three variables, should know how to solve it.
- Should know how to solve a quadratic equation
- Should know how to compute a formula for the sum of first n natural numbers.

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Learning Objectives

Objectives for the whole course

Topics

Topic 1

Learning objectives for topic 1

Topic 2

Learning objectives for topic 2

@@ Line 12: / Line 12: @@
 *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
+** Sum of two odd numbers is even
-**(b) Not all real numbers are rationals
+** Not all real numbers are rationals
-(c) The number of prime numbers is infinite
+** The number of prime numbers is infinite
-(d) The number of possible subsets of set of size n is 2^n
+** 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
+** 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.
+** 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.
+** Given a system three linear equations, in three variables, should know how to solve it.
-(h) Should know how to solve a quadratic equation
+** Should know how to solve a quadratic equation
-(i) Should know how to compute a formula for the sum of first n natural numbers.
+** Should know how to compute a formula for the sum of first n natural numbers.
 ....