# MTH159 - Mathematical Thinking and Quantitative Reasoning

 Semester Fall - 2020 Summer - 2020 Winter - 2020 Fall - 2019 Winter - 2019 Fall - 2018 Winter - 2018 Fall - 2017 Winter - 2017 Fall - 2016 Summer - 2016 Winter - 2016 Fall - 2015 Winter - 2015 Fall - 2014 Winter - 2014 Fall - 2013 Winter - 2013 Fall - 2012 Winter - 2012 Fall - 2011 Winter - 2011 Fall - 2010 Summer - 2010 Winter - 2010 Winter - 2009 Summer - 2008 Fall - 2007 Winter - 2007 Fall - 2006 Winter - 2006 Fall - 2005 Winter - 2005 Fall - 2004 Winter - 2004 Fall - 2003 Winter - 2003 Fall - 2002 Winter - 2001 Fall - 2000 Summer - 2000 Schools offering this subject Select school School of Arts and Science Last revision date May 25, 2020 1:44:33 AM Last review date Aug 3, 2020 12:15:13 AM

Subject Title
Mathematical Thinking and Quantitative Reasoning

Subject Description

This is a one-semester mathematics course that will introduce students to various topics within mathematics that are not typically part of a high school mathematics program.  Students do not require any previously knowledge of the topics being covered in this course.  In addition to gaining confidence in their ability to do mathematics, students will begin to see the relevance of mathematics in their everyday life.  Also, after gaining confidence and an appreciation of mathematics, students will begin to apply these new found skills to help them be more successful in other courses in their program.

Topics being introduced to students in this course include set theory, mathematical logic, combinatorics & probability, and statistics.  No previous background of any mathematical concepts is required for success in this course.

Credit Status
A required subject for students in the Liberal Arts Program (LAT) & the General Arts Certificate Program (GAP).

Learning Outcomes
Upon successful completion of this subject the student will be able to:

correctly identify complements and subsets of sets, and represent these using Venn diagrams.

accurately perform set operations, including applications of set theory.

correctly represent logic statements using appropriate quantifiers.

use truth tables to successfully determine equivalent statements and tautologies, and assess the validity of formal statements, including conditional and biconditional forms.

accurately demonstrate learned counting techniques, including the basic counting principle, permutations and combinations.

use counting techniques to solve probability questions, including those involving the addition rule and conditional probability.

demonstrate proficiency in characterizing data by using descriptive methods of statistics to find measures of central tendency, variance and dispersion (standard deviation), as well as interpreting these measures.

accurately calculate measures of relative standing, and apply these concepts to interpret normally distributed data.

Essential Employability Skills
Execute mathematical operations accurately.

Apply a systematic approach to solve problems.

Use a variety of thinking skills to anticipate and solve problems.

Interact with others in groups or teams in ways that contribute to effective working relationships and the achievement of goals.

Manage the use of time and other resources to complete projects.

Take responsibility for one's own actions, decisions, and consequences.