MTH255  Mathematics
Semester  
School  
Last revision date  20171121 10:34:06.52 
Last review date  20171121 10:34:12.587 
Subject Title
Mathematics
Subject Description
A sequel to Mathematics 155, this subject studies applied trigonometry, radicals, exponents, quadratic equations, factorable equations, quadratic type equations, complex numbers, and analytical trigonometry. In addition, logarithmic and exponential functions with emphasis on electrical/electronic applications are studied. An introduction to statistics and probability is also given.
Credit Status
One subject credit in the Computer Engineering Technology, Electronic Engineering Technology or Electronic Engineering Technician programs.
Learning Outcomes
Upon successful completion of this subject the student will be able to:
1. Identify, analyze and sketch sinusoidal waveforms with emphasis on amplitude, period , and phase shift
2. Simplify algebraic expressions with exponents and radicals
3. Identify the different forms of complex numbers (rectangular, polar, trigonometric and exponential) and perform algebraic operations on each form. Also apply knowledge of complex numbers to ac circuits
4. Recognize and solve quadratic and quadratic type equations by factoring, completing the square , and quadratic formula
5. Prove trigonometric identities, and use trigonometric identities to solve trigonometric equations
6. Apply knowledge of logarithmic and exponential functions to evaluate different electronic applications including chargedischarge of capacitors
7. Organize and display data using xy graphs, scatter plots, bar and pie charts
8. Predict probability of single event occurring, probability of combining events and mutually exclusive events
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.
Show respect for diverse opinions, values, belief systems, and contributions of others.
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 http://library.senecacollege.ca for further information regarding cheating and plagiarism policies and procedures.
Discrimination/Harassment
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 student.conduct@senecacollege.ca.
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.
Prerequisite(s)
MTH155 or equivalent
Topic Outline
 Applied Trigonometry
 Radian measure
 Angles as a function of time
 Review of sinusoids (amplitude, period and phase shift)
 Sketch of sinusoids, e.g. V = ^{V}_{m} (w t+a)
 Solution of trig. Equations, e.g. Y = Asin(bθ), find θ
 Exponents and Radicals
 Laws of exponents in general( integral and fractional)
 Radicals: simplification, operations with radicals
 Radical equations
 Complex numbers
 j operator
 powers of j
 complex numbers: rectangular, polar, trigonometric and exponential forms
 Conversion and operations in all forms
 Eulers formula and De Moivre’s theorem
 Quadratic and Other types of Equations
 Quadratic equations: recognition, solution by factoring, completing the square and quadratic formula
 Quadratic type equations
 Simple equations of higher degree, number of roots
 Nonlinear systems of equations
 Analytical Trigonometry
 Identities: reciprocal, ratio, Pythagorean, negative angles, compound Angles, double and half angles, factor and product
 Trig equations: solving for θ, showing applications of solution
 Graphical solutions of trig. Equations
 Composite trig. Functions (addition of ordinates)
 Exponential Functions
 Definition of exponential function
 Definition of “e”
 Evaluation and graphs of v_{C }= E_{C}(1  e^{t/RC}), i = (E/R)e^{t/RC}
 Applied problems: evaluation of above formula; chargedischarge curves
 Logarithmic Functions
 Definition of logarithm
 Graphs of logarithmic functions
 Laws of logarithms
 Common logarithms, natural logarithms and converting between logarithmic and exponential forms
 Introduction to Statistics and Probability
 Definition and Terminology; sampling, types of variables, data
 Organizing and Graphing data; xy graphs, scatter plots, bar and pie charts
 Empirical curve fitting
 Graphical summaries; frequency histogram and polygon
 Numerical description of data; mean, median, mode, range, quartiles, percentiles
 Probability of a single event occurring
 Probability of combining events
 Mutually exclusive events
Mode of Instruction
Lecture hours: 4
Total hours: 4
Prescribed Texts
Title: Technical Mathematics with Calculus, Cdn. 3rd Ed. (2016)
Author: Paul Calter, Michael Calter, Paul Wraight and Sarah White
Publisher: Wiley
ISBN: 9781119325727 (binder ready version with WileyPlus)
Reference Material
Title: Technical Mathematics with Calculus, Cdn 2nd Edition
Author: Paul Calter & Michael Calter
Publisher: Wiley
ISBN: 9780470678848
Required Supplies
Nonprogrammable calculator
Promotion 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) 
OR  
EXC  Excellent 
SAT  Satisfactory 
UNSAT  Unsatisfactory 
For further information, see a copy of the Academic Policy, available online (http://www.senecacollege.ca/academicpolicy) or at Seneca's Registrar's Offices.
Modes of Evaluation
Assignments
 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: http://library.senecacollege.ca
LAB COURSES
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.
3 Term Tests  60%
Quizzes & Assignments  10%
Final Examination  30%