Technical Mathematics II
MAT-746-CRF02
Spring 2015
Instructor:
Jim Trepka
Other Instructor
Information:
Office: 140 Jones Hall
Telephone: 398-7146
Email: jim.trepka@kirkwood.edu
Home Page: http://faculty.kirkwood.edu/jtrepka/
Section Number:
0223947
Monday
Tuesday
Wednesday
Thursday
11:15-12:10
12:20 -1:15
11:15-12:10
12:20 -1:15
Credit hours:
4 Hours
Course description:
Provides mathematical skills necessary for EET coursework.
Prerequisites:
MAT-745
Course Materials
Needed:
Mathematics for Electricity and Electronics, Arthur D. Kramer, 4th
Edition. ISBN-13 978-1-1115-4507-9.
Supplemental material provided by instructor.
Turning Point Clicker
Books and course materials for this course are available at the Kirkwood
Bookstore.
Learning Outcomes,
Course Outcomes
Objectives, and
1. Graphing sine functions with phase shifts
Course Competencies:
2. Apply complex numbers to analyze electronic circuits
3. Solve problems with radians and vectors for physics and
electronic applications
4. Familiarization with statistical processing control terms and
Fourier series
5. Ability to do math with binary, octal, and hexadecimal numbers
Technical Mathematics II Competencies
(wording from Applied College Algebra and Trigonometry with Calculus,
Linda Davis, 3rd Edition)
Vectors
1. Find the resultant of a given set of vectors.
2. Use vectors to solve problems in science and technology.
3. Apply the Law of Sines to solve oblique triangles.
4. Apply the Law of Cosines to solve oblique triangles.
5. Apply the Law of Sines and Law of Cosines to solve technical
problems.
Trig Graphs
1. Identify the amplitude, period, and phase angle of a sine or cosine
trigonometric function.
2. Sketch the graph of a sine or cosine function using its amplitude,
period, and phase angle.
3. Apply the concept of amplitude, period, and phase shift to simple
harmonic motion and ac circuits.
Trigonometric Functions of Any Angle
1. Determine the sign of a trigonometric function in any of the four
quadrants.
2. Determine the reference angle for an angle whose terminal side
lies in any quadrant.
3. Find the value of the trigonometric functions for any given angle.
4. Convert angles measure in degrees to radians and vice versa.
5. Find the value of a trigonometric function given an angle measure
in radians and vice versa.
6. Apply radian measure to finding the length of a circular arc, the
area of a circular sector, and angular and linear velocity.
Complex Numbers
1. Add, subtract, multiply, and divide imaginary numbers.
2. Simplify powers of the imaginary number j.
3. Add, subtract, multiply, and divide complex numbers in a
rectangular form.
4. Convert complex numbers among rectangular, polar, and
exponential forms.
5. Use polar and exponential forms to find the product, quotient,
power, and roots of complex numbers.
6. Apply the concept of complex numbers to ac circuits.
Statistics
1. Organize data into a frequency distribution and give a graphical
representation using a histogram or a frequency polygon.
2. Calculate the arithmetic mean, median, and mode from empirical
data.
3. Calculate the range and standard deviation from empirical data.
4. Use the mean and standard deviation to calculate the variation of
data values that should fall within one or two standard deviations
of the mean.
5. Use the least squares method to fit empirical data to an equation.
Technical Mathematics II Learning Objectives
(Wording from Electronic Mathematics by Thomas C. Power; Delmar
Publishers Inc.)
Math for the Computer
 Identify numbering systems
 Convert base 10 to binary, octal and hexadecimal
 Convert binary, octal, and hexadecimal to base 10
 Convert binary to octal
 Convert octal to binary
 Convert binary to hexadecimal
 Convert hexadecimal to binary
 Convert decimal fractions to binary and octal fractions
 Convert binary and octal fractions to decimal fractions
 Add binary numbers
 Subtract binary numbers by complementation
Technical Mathematics II Learning Objectives
(Wording from Circuit Analysis with Devices: Theory and Practice,
Robbins & Miller, 4th Edition, Delmar Learning.)
Fourier series
1. Use tables to write the Fourier equivalent of any simple periodic
waveform
2. Sketch the frequency spectrum of a periodic waveform, giving the
amplitudes of various harmonics in either volts, watts, or dBm.
3. Determine the output of a filter circuit given the frequency spectrum
of the input signal and the frequency response of the filter.
ADDITIONAL OBJECTIVES
Statistical Process Control - What they mean and why / where you
would use them:
Average, Mean, Median, Normal (Gaussian) distribution, Normal
distribution, Bimodal distribution, Standard Deviations, 3-Sigma and 6Sigma, Histogram, Random Sample, Probability Density Function, Mean
Squared Error, Outlier, Bias and systematic error, Sample Size, Statistical
Process Control, Cp, Cpk (USL, LSL)
Assessment of
Student Learning:
Student learning will be assessed via exams, homework, and class room
participation.
Late Work/Make-up
Test Policy:
All work is due on its due date and will receive a zero otherwise.
Late work may be accepted at the discretion of the instructor in
extremely rare circumstances.
Class Attendance
Policy and College
Sponsored Activities:
As stated in the Student handbook: In compliance with Public Law 105244, Kirkwood Community College makes a wide variety of general
institutional information available to students.
For additional information, go to
http://www.kirkwood.edu/pdf/uploaded/630/student_handbook.pdf
Productive Classroom See student handbook
Learning
http://www.kirkwood.edu/pdf/uploaded/630/student_handbook.pdf
Environment:
Plagiarism Policy:
See student handbook
http://www.kirkwood.edu/pdf/uploaded/630/student_handbook.pdf
Campus Closings:
See student handbook
http://www.kirkwood.edu/pdf/uploaded/630/student_handbook.pdf
Learning
Environment
Expectations:
1. Arrival at class by the start of class
2. Performing in class problems (clicker questions).
3. Answering questions.
4. Helping lab partner or other lab groups.
5. Helping other classmates.
Americans with
Disabilities Act:
Students with disabilities who need accommodations to achieve course
objectives should file an accommodation application with Learning
Services, Cedar Hall 2063 and provide a written plan of accommodation
to your instructor prior to the accommodation being provided.
Student Evaluation:
For any given unit exam, you can chose to go with Option #1 or
Option #2
Option #1:
Unit Exams - Exams will be given after every chapter totaling 75% of
your final grade. Missed exams must be made up on or before the next
class period. In a rare situation where the exam can not be made up in
that time period, the student will need to make up the exam during the
final exam week and this exam will be different than that taken by the
rest of the class.
Option #2:
Unit Exams - Exams will be given after every chapter totaling 50% of
your final grade. Missed exams must be made up on or before the next
class period. In a rare situation where the exam can not be made up in
that time period, the student will need to make up the exam during the
final exam week and this exam will be different than that taken by the
rest of the class.
Homework - Homework will be assigned on a daily basis.
Homework will be worth 25% of your final grade. Homework
assignments can be found at
http://faculty.kirkwood.edu/site/index.php?p=18799 . Homework
will be due the day of the exam.
For Both Options:
Final Exam - The final exam will be worth 25% of your final grade.
Class Room Participation and Professional Conduct Points will be deducted from your final grade for the following:
1. Inappropriate language or jokes.
2. Ringing of cell phones in class.
3. Disrupting the class.
After earning the Associates of Applied Science in Electronics
Engineering Technology at Kirkwood Community College, you may be
working with people from substantially different backgrounds than your
own. Since the Electronics Engineering Technology program is a career
tech program, respect for differences in the workplace will be a skill that
will be fostered in this program. You will be expected to show respect
for those from different nationalities, religions, gender, sexual
orientations, and learning abilities. This respect is expected during class,
between class, and after class. In other words, anytime you are in Jones
Hall or its vicinity (i.e. - parking lot, sidewalks, etc.). These are the same
expectations that some area employers have. Your classroom
participation grade will be negatively impacted by 10% (one letter
grade) for each violation of this policy.
How final grades are
determined:
Grading Scale:
As described above.
B+
87 –
89.99
C+
77 –
79.99
D+
67 –
69.99
F
59.99
and
Drop Date:
A
94 - 100
B
83 –
86.99
C
73 –
76.99
D
63 –
66.99
A-
90 –
93.99
B-
80 –
82.99
C-
70 –
72.99
D-
60 –
62.99
less
Students dropping a class during the first two weeks of a term may
receive a full or partial tuition refund for 16 week terms, for shorter
courses check with Enrollment Services for total withdraw information.
Details of the refund schedule are available from Enrollment Services in
216 Kirkwood Hall. For detailed discussion of drop dates and policies,
please read the student handbook.
The last date to drop this class for this term is April 24, 2015.
Final Exam
Information:
Final exams are scheduled during the last week of the term from May 6,
2015 to May 11, 2015. The final exam for this class is scheduled on May
7, 2015 at 10:10 am.
Emergency
Information:
See student handbook
http://www.kirkwood.edu/pdf/uploaded/630/student_handbook.pdf
Other Information:
none