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NORTHERN MAINE TECHNICAL COLLEGE
COURSE SYLLABUS & OUTLINE
Course Title & Designation: Electrical Mathematics, MAT118
Credit Hours: Four (4)
Instructor: J.P. Levasseur, 768-2836. [email protected]
Catalog Description: Students learn to use numeric, algebraic, and
trigonometric methods to analyze DC and AC electric circuits and systems.
Topics include measurement; series, parallel, and series-parallel circuits;
capacitance; inductance; power; resistance of wire and the AWG tables; line drops; transformers; and threephase systems.
Course Objectives: Upon completion of this course, students will be able to:
 Understand, manipulate, and apply fractions, decimals, and exponents in the solution of
electrical circuit mathematical problems.
 Understand and apply fundamental algebra skills in the solution of series, parallel, and complex
circuits.
 Calculate power in, power out, and efficiency of fundamental electrical apparatus, and convert to
and from mechanical power equivalents.
 Understand, manipulate, and apply fractions, decimals, exponents, algebra and trigonometry in
the solution of electrical circuit mathematical problems.
 Understand and apply fundamental trigonometry skills in the solution of series, parallel, and
complex circuits.
 Calculate impedance, phase angle, power factor, real power, imaginary power, and apparent
power in RLC circuits.
 Calculate voltage, current, and power in transformer systems.
 Apply fundamental algebraic and trigonometry concepts to typical power distribution design
problems, including three-phase systems
 Creatively apply Ohm’s Law to various electrical DC and AC circuits.
 Expand and reinforce skills and concepts introduced in the program major.
Text: Basic Mathematics for Electricity and Electronics, w/ Workbook, 8th Ed, Singer/Forster/Shultz,
McGraw Hill.
Attitude & Participation: A positive, constructive attitude combined with a sense of personal
responsibility for one’s own work, are important qualities in any professional situation. The student
will attend class regularly, arrive on time clean and groomed, participate constructively in class
discussions, complete assignments on time, treat fellow students and the instructor with respect and
consideration, eliminate offensive language and behavior, and remain on task. The student will
maintain a safe and clean classroom area. Food and beverages are allowed in class but redeemables
and garbage must be disposed of properly; abuse of this privilege will cause loss of the privilege. Cell
phones may be set on vibrate for the sole purpose of the school Instant Alert Messaging. The student
will take advantage of help available outside of class.
Attendance: Attendance and promptness are mandatory. Contact the instructor as soon as possible
should there be attendance problem. Make-ups are generally not allowed. Significant points may be
deducted from the students’ final grade for absences, tardies, and/or leaving early unexcused.
ADA Statement: Any student with a documented disability (physical, learning, or psychological)
who would like to request academic accommodations should contact: Tammy Nelson, Director of
Counseling, located at the main NMCC campus in the Christie Building or by calling 768-2839. Of
course, the instructor is more than happy granting any reasonable accomadation.
Homework Policey: Homework is an essential and integral part of this course, and is intended to
complement and reinforce the material discussed in class. Readings and Workbook practice problems
will be assigned regularly, and students should expect to spend, on average, about two hours on
homework for each hour in class. While students won't be directly graded on whether this work is done,
the practice is very necessary preparation for tests. Completeing the assigned readings and homework
regularly and with comprehension always has a tremendous effect on student success.
The instructor will demonstrate problems from the text, but student homework is usually from the
Workbook. The instructor generally provides the answers to these for students to check. Each
Workbook “Job” is completed on a separate sheet and maintained in a notebook. This notebook
might be allowed for reference during exams and quizzes. Pop quizzes, which can occur at any time,
are not pre-announced. Each Job is clearly identified by the Job number, student name, date, and
course designation. Each individual problem is numbered and separated from the others by skipping
a line. Handwriting is neat and legible. Students must write concise and clear solutions to these
problems by 1) identifying the given information with proper literals 2) identifying the unknown(s) with
proper literals 3) performing the necessary unit conversions 4) writing down the selected formula(s)
5) manipulating the formula(s) and making the numerical substitutions 6) checking that units are
consistent, dimensional analysis 7) performing the mathematical operations 8) answering the
question 9) and attaching proper units of measurement to the answer.
Although homework is the students’ responsibility and is not routinely collected, the instructor may
collect an assignment at any time, counting it as a grade item. Late homework will not be accepted.
Exams: Exams are generally given upon completion of a chapter. Based largely on workbook exercises
and class discussions, questions are usually a combination of short-answer questions together with
numerical problems. A missed exam is a failed exam. Exams are announced ahead of time. There is
no comprehensive final exam, just the last chapter test.
Course Grading Catagory Weights:
Exams …………………………………….. 70%
Homework/Quizzes……………………… 20%
Atendance, Attitude, Participation …….. 10%
NMCC LETTER GRADE SYSTEM:
Total Course Score
Letter Grade
93-100
A
90-92
A87-89
B+
83-86
B
80-82
B77-79
C+
73-76
C
70-72
C67-69
D+
63-66
D
60-62
DBelow 60
F
Attendance Failure
AF
GPA Value
4.00
3.67
3.33
3.00
2.67
2.33
2.00
1.67
1.33
1.00
0.67
0.00
0.00
MAT118 Topical Outline:
(The instructor may limit the amount of content covered due to time constraints, keeping certain
materials and skipping others as needed.)
Chapter 1 (Much of this chapter may be skipped)
Basic Theory of Electricity; Electrical Measurements and Circuits
Chapter 2 (Much of this chapter may be skipped)
Fractions, Ohm’s Law; Decimals, The Metric System
Chapter 3 (Much of this chapter may be skipped)
Formulas, Positive and Negative Numbers; Powers of Ten; Electrical Units of Measurement; Solving
Equations using Ohm’s Law; Estimating
Chapter 4
Voltage, Current, and Resistance in Series Circuits; Power Distribution Line Currents; Ground Fault
Protection; Formulas Involving Addition and Subtraction; Current Control in Series Circuits
Chapter 5
Parallel Circuits; Addition and Subtraction of Fractions; Solution of Formulas Involving Fractions; Total
Resistance, Voltage, and Current in a Parallel Circuit; Division of Current in Parallel Circuits
Chapter 6
Series-Parallel and Parallel-Series Circuits; Line Drop; Distribution Systems
Chapter 7 (Much of this chapter may be skipped)
Electrical Power; Squaring Powers of Ten; Exponential Power Formulas; Square Root
Chapter 8 (Much of this chapter may be skipped)
Combining Like Terms; Combining Unlike Terms; Solving Simple Equations; Transpositions and
Cross Multiplication; Removing Parentheses; Solving Equations Containing Parentheses; Solving Equations
Containing Fractions
Chapter 9
Thevenin’s Theorem
Chapter 10
Ammeters and Voltmeters; Voltage Dividers; The Potentiometer Rule; The Wheatstone Bridge;
Equivalent Circuits; DC Equivalent Circuits for Self-Biased and Fixed-Bias Transistor Circuits;
Transistor Equivalent Circuits; Attenuators; Power and Resistor Size
Chapter 11
Percent; Power Conversion Factors; Efficiency; Load Matching for Power Transfer
Chapter 12
Ratios and Proportions; American Wire Gage Table; Resistance of Wires Depending on Length,
Diameter, and Material; Resistor Temperature Coefficients
Chapter 13
Maximum Current Carrying Capacities; Minimum Allowable Wire Size;
Drops; Temperature and Wires Size
Preventing Excessive Wire Voltage
Chapter 14
Trigonometric functions of a right triangle; Using the table of trig functions (and your calculator; Finding the acute
angles of a right triangle; Finding the sides of a right triangle
Chapter 15
Graphs; Generation of an AC voltage – the sine wave; Instantaneous values, maximum values, and phase
angles; Effective value of an AC wave; Vectors and Phasors; The Pythagorean Theorem
Chapter 16
Inductance, reactance, and impedance of a coil; Measuring the inductance of a coil; Introduction to transformers
– review and use of ratios and proportions; Current in a transformer; Efficiency of a transformer; Impedancematching transformers
Chapter 17
Introduction to capacitance; Capacitors in parallel; Capacitors in series; Reactance and impedance of a
capacitor; Measurement of capacitance
Chapter 18
Simple series AC circuits; Trigonometry in series circuits; Resistance and inductance in series; Resistance and
capacitance in series; RLC series circuits; Series resonance
Chapter 19
Simple parallel AC circuits; Resistance and inductance in parallel; Resistance and capacitance in parallel; RLC
parallel circuits - the equivalent series circuit; Resolution of Phasors; Polar to rectangular coordinates and back
again; Parallel-series AC circuits; Series-parallel AC circuits; Parallel resonance
Chapter 20
Power and power factor; Total power drawn by combinations of reactive loads; Power drawn by combinations of
resistive and reactive loads; Power-factor correction
Chapter 21
The WYE connection; The DELTA connection
Chapter 22
The Delta connection; The Wye connection; Delta-Wye connections; Wye-Delta connections; The Open-Delta
connection
New School Policy for Fall 2014
ATTENDANCE FAILURE
Class attendance is the student’s responsibility. Regular attendance and punctuality at all classes is expected.
Excessive absences may interfere with the successful completion of a course of study. To encourage student to
accept the responsibility to attend class, the following policy is established:
Class attendance is a matter between the instructor and the student. Instructors are obligated to announce and
interpret a specific attendance policy for their classes at the beginning of the semester by way of the course
syllabus. Faculty are encouraged to be considerate of students with special circumstances.
Once a student has exceeded the allowable number of absences as stated in the course syllabus, the faculty
member may recommend to the Academic Dean that a student receive a grade of “AF” (Attendance Failure).
Along with the recommendation, the faculty member will provide all supporting documentation for the
recommendation. Once a decision has been made by the Academic Dean, the student, faculty member and
registrar will be notified.
A faculty member may decide to enter the grade of “AF” for a student who has violated the class attendance
policy, at the end of the semester when grades are submitted, rather than making a recommendation to the
Academic Dean.
This grade will appear on the appropriate educational records. The grade of “AF” will be calculated as an “F”
in determining a student’s grade point average.
Students may appeal the instructor’s designation of the grade of “AF” to the academic dean.