CR: COMP 1805 Learning Objectives: Difference between revisions

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*1. Given a solution for a Grade 12 Math problem, should be able to verify it with minimal help.
*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  
*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.
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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