MTH079 - College Preparatory Math

Outline info
Last revision date 2017-09-20 14:32:04.585
Last review date 2017-09-20 14:32:04.586

Subject Title
College Preparatory Math

Subject Description
This course provides the second step for students who require upgrading in mathematics. Upon successful completion, students will have obtained a level of proficiency that is equivalent to Grade 12C (for college entrance purposes).

Credit Status

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

1. Demonstrate the ability to handle mathematical concepts consistent with a Grade 12 graduation level.

2. Solve, factor, and graph algebraic equations, quadratic equations, and inequalities.

3. Evaluate basic trigonometric functions and apply the Laws of Sine and Cosine.

4. Understand the concepts of exponential and logarithmic functions.

5. Solve word problems in each of these mathematical topics.

6. Demonstrate the ability to enter college level mathematics based courses.

Essential Employability Skills
Respond to written, spoken, or visual messages in a manner that ensures effective communication.

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.

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.

Cheating and Plagiarism
Each student should be aware of the College's policy regarding Cheating and Plagiarism. Seneca's Academic Policy will be strictly enforced.

To support academic honesty at Seneca College, all work submitted by students may be reviewed for authenticity and originality, utilizing software tools and third party services. Please visit the Academic Honesty site on for further information regarding cheating and plagiarism policies and procedures.

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 Disabilities Services Office at ext. 22900 to initiate the process for documenting, assessing and implementing your individual accommodation needs.

MTH069 (grade B or higher) or permission of the co-ordinator.

*Students must have demonstrated a competency in  MTH069 and MTH079 to be granted a passing grade for Grade 12C equivalency purposes

Topic Outline

  1. Linear Equations and Graphing II
  • Graphing Linear Equations using Tables, Intercepts, Slope and y-intercept
  • Finding Equations of Lines and Applications: Slope and  y-intercept, Slope and a point, Two points, Parallel and Perpendicular Lines and a point.
  • Solving Systems of Equations in Two Variables by Graphing
     2.   Sets and Inequalities
  • Intersections and Unions
  • Solving and Graphing Inequalities
  • Absolute-value Equations and Inequalities
     3.   Polynomials: Operations and Factoring
  • Polynomials: Addition, Subtraction, Multiplication, and Division
  • Factoring: Grouping, Trinomials, Trinomial Squares, Differences of Squares, Sums or Differences of Cubes
  • Solving Quadratic Equations by Factoring
     4. Rational Expressions and Equations
  • Rational Expressions: Simplifying, Addition, Subtraction, Multiplication and Division
  • Simplifying Complex Rational Expressions
  • Solving Rational Equations
     5.  Quadratic Equations and Graphing
  •  Quadratic Equations: Solving by Principle of Sqaure Roots, Completing the Square and Quadratic Formula; Graphing
     6.  Trigonometry
  • Right-angled Triangle and Pythagorean Theorem
  • Trigonometric Ratios: Sine, Cosine, Tangent, Cosecant, Secant, Cotangent
  • Applications of Right Triangles: Angle of Elevation, Angle of Depression and Concept of Bearing
  • Converting between Degree and Radian Measure
  • Graphs of Sine, Cosine and Tangent Functions
  • Applications: Law of Sines and Law of Cosines
     7.   Radical Expressions, Functions, Exponential and Logarithmic Functions
  • Simplifying Radical Expressions
  • Functions: Definition, Domain, Range, Graphs, Vertical-line Test, Inverse and Composite Functions
  • Solving Exponential and Logarithmic Equations

Mode of Instruction
Your professor will use a variety of appropriate teaching modes and techniques, such as the following:  lecture, question and answer, tutorials, classroom discussion, group work,
individual and/or group presentation, computer-aided instruction, consultation, etc.

Prescribed Texts
In Class Prescribed Texts 
MyMathLab with e-Text
ISBN 9780321199911
Online Prescribed Texts
Mathematics for Health Sciences
Lee, Kugathasan, Saunders
Toronto:  Vretta Inc.
1st Edition (2017)

Note that this is available for purchase online through the Lambton College Campus Shop:

Reference Material
Your instructor will give additional references for e-books from Seneca Library

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
To be successful in this course, you must complete all course work as specified and achieve an overall grade of 50% or higher. For further information on evaluation and academic standing, see a copy of the Academic Policy available at Seneca registration offices.

Grading scheme:

Test 1 25%
Test 2 25%
Assignments (2) 15%

Term Work:  All term work assignments must be completed prior to the time of the examination. Unless students have been granted an extension in advance, late take-home assignments will be penalized
one letter grade per day and will not be graded after one week (there is no provision for rewriting late assignments, regardless of the grade).  Students must contact faculty in advance of due
date to discuss extensions.

If a student has to miss any in-class quiz/test, he/she must notify the faculty via email or phone messages prior to start time of the quiz/test date.  Valid documentation (such as original stamped doctor's note) must be submitted to the faculty on or before the next scheduled class.  Make-up opportunities may be arranged at the Test Centre.

Approved by: Fiona Bain-greenwood