INT100 - Quantitative Reasoning

Outline info
Last revision date 2019-03-18 09:08:24.934
Last review date 2019-03-18 09:08:46.155

Subject Title
Quantitative Reasoning

Subject Description

This is a one term mathematics course designed to provide a comprehensive overview of a variety of mathematical concepts as they relate to various disciplines. It offers a general overview of topics including critical thinking skills, sets, systems of linear equations, probability, functions and graphs.

Credit Status
Required first level mathematics course for students in the Bachelor of Interdisciplinary Studies degree program; also a Liberal Studies Option (LSO) for Seneca degree students.

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

  • Demonstrate an intuitive understanding of functions by identifying the independent and dependent variables on given tables of values and explain the corresponding relationships.
  • Calculate percentage change and average growth rates, and interpolate/extrapolate using these rates.
  • Construct and interpret graphs.
  • Determine the formula of linear functions given sets of data and interpret their slopes.
  • Demonstrate understanding of the nature of exponential growth and determine their respective formulas.
  • Construct Venn diagrams and use them to analyse and count outcomes.
  • Calculate theoretical and empirical probabilities by distinguishing outcomes.
  • Model and solve problems using various counting techniques, including calculating permutations and combinations.
  • Solve problems requiring the appropriate use of elementary probability, the addition rule, the multiplication rule and conditional probability.
  • Determine risk assessment by calculating and analyzing expected values.

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.

Locate, select, organize, and document information using appropriate technology and information systems.

Analyze, evaluate, and apply relevant information from a variety of sources.

Show respect for diverse opinions, values, belief systems, and contributions of others.

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.

Previous experience in university stream mathematics or permission of the coordinator

Topic Outline

  • Analysis of Growth: Tables and Percentage Change; Graphs; Growth Rates
  • Misleading Graphs; Correlation and Causality
  • Linear Growth: Linear Functions; Interpreting Slope
  • Exponential Growth and Decay; Half-life: Logarithms
  • Venn Diagrams: Introduction; Logic
  • Counting Using Venn Diagrams; Introduction to Probability
  • Counting Techniques: Fundamental Rule of Arithmetic; Combinations; Permutations
  • The Addition Rule (Including Mutually Exclusive Cases); Conditional Probability
  • The Multiplication Rule (Including Independent Cases); Probabilities Using Counting
  • Expected Value; Risk Assessment

Prescribed Texts


Angel et el. A Survey of Mathematics with Applications, 10th Edition. Pearson

Reference Material

Student Progression and Promotion Policy

Grading Policy

A+ 90%  to  100%
A 80%  to  89%
B+ 75%  to  79%
B 70%  to  74%
C+ 65%  to  69%
C 60%  to  64%
D+ 55%  to  59%
D 50%  to  54%
F 0%    to  49% (Not a Pass)
EXC Excellent
SAT Satisfactory
UNSAT Unsatisfactory

For further information, see a copy of the Academic Policy, available online ( or at Seneca's Registrar's Offices (

Modes of Evaluation


Term Work

All term work assignments must be completed prior to the time of the final exam or last class.  Students must contact faculty in advance of the assignment due date to discuss the possibility of an extension.  Late assignments may be subject to the awarding of a penalty resulting in a lower grade assigned. Make-up opportunities for assignments must also be made in advance of the scheduled due date.  If an assignment is missed due to class absence, official documentation must be submitted to the faculty member on or before the next scheduled class. Make-up opportunities may not apply to all graded assignments.


Classroom   Online  
Tests & Assignments 50% Discussion Posts (x5) 25%    
Mid-Term Exam 25% Assignments (x3) 45%
Final Exam                       25% Final Exam 30%

To be successful in this course, you must complete all course work as specified, and achieve an overall grade of 50% or more.  It is expected that students have a sufficient command of the English language to express themselves clearly in both written assignments and class discussions. For further information on evaluation and academic standing, see the Academic Policy at

All the academic policies of the College at which you registered apply. This includes, but is not limited to, policies related to grading, supplemental exams, deferred exams and accommodations.

Approved by: Fiona Bain-greenwood