MTH159 - Mathematical Thinking and Quantitative Reasoning

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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.

Academic Integrity
Seneca upholds a learning community that values academic integrity, honesty, fairness, trust, respect, responsibility and courage. These values enhance Seneca's commitment to deliver high-quality education and teaching excellence, while supporting a positive learning environment. Ensure that you are aware of Seneca's Academic Integrity Policy which can be found at: Review section 2 of the policy for details regarding approaches to supporting integrity. Section 2.3 and Appendix B of the policy describe various sanctions that can be applied, if there is suspected academic misconduct (e.g., contract cheating, cheating, falsification, impersonation or plagiarism).

Please visit the Academic Integrity website to understand and learn more about how to prepare and submit work so that it supports academic integrity, and to avoid academic misconduct.

All students and employees have the right to study and work in an environment that is free from discrimination and/or harassment. Language or activities that defeat this objective violate the College Policy on Discrimination/Harassment and shall not be tolerated. Information and assistance are available from the Student Conduct Office at

Accommodation for Students with Disabilities
The College will provide reasonable accommodation to students with disabilities in order to promote academic success. If you require accommodation, contact the Counselling and Accessibility Services Office at ext. 22900 to initiate the process for documenting, assessing and implementing your individual accommodation needs.