MTH100 - Mathematics

Outline info
Last revision date 2018-04-10 14:10:49.983
Last review date 2018-04-10 14:11:36.822

Subject Title

Subject Description
This subject is designed to provide the student with the necessary skills to solve practical shop problems. These skills enhance a skilled metal machining tradesperson's ability to work accurately and efficiently in today's modern manufacturing environment. This subject is equivalent to MTH101 with MTH201 in full time studies.

Credit Status
One credit toward the Machine Shop Certificate

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

1. Solve practical shop problems involving fractions, decimals, ratios, proportions, percent.

2. Manipulate and use formulas and algebraic equations to solve practical shop problems.

3. Solve for area, perimeter and volume of a variety of geometric shapes.

4. Identify and apply geometry principles to a variety of geometric shapes.

5. Create right angle triangles on part drawings to solve for unknown dimensions.

6. Solve right angle triangles using the Pythagorean theorem.

7. Solve practical shop problems using basic trigonometry (Sine, Cosine and Tangent).

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.

Ontario Secondary School Diploma with strong Mathematical and English skills or be at that functional level with related industrial experience

Topic Outline

  • Fractions and decimals: definitions, addition, subtraction, multiplication and division, all with practical applications
  • Converting all partial numbers to other formats 
  • Solving square roots and powers with the aid of a calculator 
  • Positive and negative numbers 
  • Order of operations (BEDMAS) 
  • Collecting "like" terms 
  • Algebraic symbols 
  • Transposing formulas using the principles of equality 
  • Ratio and proportion (direct and indirect) 
  • Tapers
  • Area, volume and perimeter 
  • Geometric principles 
  • Introduction to trigonometry 
  • Tangent, Sine, Cosine, Cosecant, Secant and Cotangent Trig Functions 
  • Using the functions keys, Sine, Cosine and Tangent on the calculator to find the ratio of an angle 
  • Solving right angle triangles using Sine, Cosine and Tangent
  • Creating right angle triangles and solving practical shop problems using trigonometry functions
  • Customary and Metric Measurement

Mode of Instruction
Lectures, handouts and exercises

Prescribed Texts
Mathematics For Machine Technology, 7th Edition - John C. Peterson, Robert D. Smith, Delmar Publisher Inc.ISBN-13: 978-1-133-28145-0
ISBN-10: 1-133-28145-1

Reference Material

Required Supplies
Scientific calculator, protractor, compass.

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

  • Assignments are due at the beginning of the class on which they are due.
  • A late penalty of 10% per day is assessed for late assignments, including those not handed in at the beginning of class when due.
  • Material will not be accepted after one week following the due date and/or when the marked material is returned to students, whichever comes first.
  • Assignments are to be prepared by computer.

Absenteeism and Exams
  • Students should be aware that absenteeism almost guarantees an inability to achieve satisfactory grades.
  • Students who are absent for an examination due to an emergency (e.g., motor vehicle accident, hospitalization or death in the family) may provide official documentation within five days of the missed exam and be provided a deferred exam at a later date.  Official documentation includes a death notice or an original doctor’s certificate identifying the date, length of time expected absence and the specific reason for the absence.  Examinations missed without official documentation and approval result in a grade of zero.
  • There are no deferred options for missed tests.  The value of missed tests, at the discretion of the Faculty, will be added to other evaluation components

English Proficiency
  • All written work should demonstrate the following characteristics for clarity and conciseness:
-writing is consistent with the rules of English grammar
-spelling and punctuation are correct
-sentences are structured correctly
-main ideas are supported with specific, relevant examples and reasons
-work flows logically through supporting statements/paragraphs
-work is arranged in correct format (e.g., as a report, essay)
-up to 10% of the final grade may be deducted on all work if the above English competencies are not met.

Format for Assignments
  • Students must use the standard, APA style for quoting sources.   Help is available at:

Laboratory Attendance

The laboratory component is essential and therefore it is strongly recommended  that you attend all labs.  Any missed labs must be supported with a legal document with three days of the lab.  Any student who fails to attend 2 scheduled laboratory classes for a 7 week subject and more than 3 laboratory classes for a 14 week subject will not pass the subject.    

Laboratory Safety
Students are required to review and understand the safety procedures and guidelines outlined on the first class and sign the sheet to this effect before beginning work in the laboratory.  Students must also wear a lab coat and safety glasses when conducting experiments.
A student who arrives without the proper safety equipment will not be permitted to participant in the lab but will be asked to leave the class.  The student will receive no grade for the lab missed.

Grading is based on the following marking scheme:
Attendance and Class Participation  5%
Term Test/s 45%
In-Class and Take Home Assignment 15%
Final Exam 35%

Other Evaluation Considerations
The student is expected to comply with the Safety Rules for working in the laboratory, sign the safety contract, and WILL NOT UNDER ANY CIRCUMSTANCES WEAR CONTACT LENSES in the laboratory.  The student will know where all safety equipment is located in the laboratory and will be familiar with WHMIS concepts and signage.


Approved by: Denis Gravelle