Technical Mathematics I


  2. A. Course Title: Technical Mathematics I
    B. Course Number: MA 113C - 30391
    C. Semester: Fall 2017
    D. Days/Time: T Th 6:00:00 PM - 9:00:00 PM
    E. Credit Hours: 3
    F. Instructor: Keranen, Joel
    G. Office: Heidel Hall (HH) 232
    H. Email Address:
    I. Office Phone: (575) 492-2820
    J. Office Hours: Monday: 9:00:00 AM-12:15:00 PM (MST);
    Tuesday: 10:45:00 AM-12:15:00 PM (MST);
    Wednesday: 3:30:00 PM-7:30:00 PM (MST);
    Virtual Thursday: 10:45:00 AM-12:15:00 PM (MST);
    Other office hours by appointment. I answer email and Canvas messages within 24 hours on weekdays.
    K. Time Zone: Mountain Time
    L. Prerequisite(s): One year of high school mathematics.
    M. Corequisite(s): None.
    N. Class Location: HH127

    This course is designed for the student majoring in a vocational / technical field. It includes a brief review of whole numbers, decimals, and fractions followed by fundamental operations of algebra, linear equations, ratio, proportions, variations, percents, basic geometry, unit conversions, metric system, and applications in the technical fields. This is a three credit hour course.


    This course fulfills certain requirements for the Associate's Degree. This course is typically not transferable to a four-year college or university.




    1) Automotive Mathematics, 1st ed., Jason C. Rouvel: Addison-Wesley/Prentice Hall 2007. ISBN: 978-0-13-114873-4

    2) Automotive Excellence Academic Applications, Darrell L. Parks, et. al.: Glencoe McGraw Hill 2007. ISBN: 978-0-07-874416-7

    Calculator: A scientific calculator is required.


    Ruler and Protractor.

    You can buy your books online at the NMJC Bookstore.


    Grading Weights
    Attendance 5%
    Homework, Quizzes, & Professionalism 25% (Homework = 10%; Quizzes = 10%; and Professionalism & Class Group Work= 5%)
    Four Exams 50%
    Final Exam 20%

    Classroom Policies:

    Attendance: A grade is awarded for attendance in this class. Roll will be taken through a sign in sheet; if you fail to sign in you are considered absent. You will be given a 1 for attendance each day. If you are tardy (5-15 min) or leave early the grade will drop to a ½ and if you do not show up you will receive a grade of 0 for that day. (IF YOU ARE LATE FOR A Legitimate REASON, YOU NEED TO SHOW THE INSTRUCTOR A DOCUMENTED EXCUSE!) School sponsored activities, illness, and emergencies will not count against this if proper notification from Professor/Coach/Doctor/Parent/Etc. is given. All unexcused absences will cost you points. Students who have zero (unexcused) absences will be allowed to drop their lowest exam score and replace it with their highest exam score!

    Homework: Assessment of written homework assignments will consist of grading assigned problems out of the textbooks.

    Quizzes: Most quizzes will be announced; however, you should always be prepared for a pop quiz. Take home quizzes and group quizzes may be given.

    Professionalism & Group Work: All students in this classroom are adults and will act as such. Good professionalism is important to practice as a technician. Your dealer's/garage's reputation depends on this! Your professor could be your customer someday! A professionalism grade, of up to 5 points, will be assigned each day. Each minor disruption will cost 1 point for the professionalism grade. Any major disruptions will earn a zero for the day's professionalism grade. Students will work in groups during class. Group work will be submitted at the end of each class.

    Examinations: All exams (except the Final) will be given in the testing center in the Student Center. Tests will be given over a 3 day period (including weekends). The dates will be announced in class. Make-up exams will be given only for excused absences with notice.
    * On test days the students will be allowed to use class notes on the exam!

    Make-up exams and assignments: In the case of absence, make-up work will be accepted only if the student presents an acceptable excuse to the instructor. Homework and quizzes will be made up by turning in your homework on the day you return to class. You should see the instructor to arrange to make up any missed class quizzes. Otherwise, late assignments will not be accepted.

    It is recommended that you keep your homework, group-work, and quizzes organized in a three-ring binder and have them with you each class session, so that you are prepared to ask questions about the homework, and for use in exam preparation.

    Final Exam: The Final Examination will be a comprehensive exam with a greater emphasis on the untested material. Typically, the MA113C final has 40% of the content as already tested material, and 60% of the content is untested material.

    * You will be allowed to use your lecture notes on the Final Exam.


    New Mexico Junior College’s institutional student learning outcomes represent the knowledge and abilities developed by students attending New Mexico Junior College. Upon completion students should achieve the following learning outcomes along with specific curriculum outcomes for respective areas of study:


    The course content of Technical Mathematics MA113 C supports NMJC's mission of "promoting success through learning" by encouraging students to accomplish the following:

    * Graph various types of functions.
    * Solve various types of equations.
    * Use the necessary notation for each topic including showing work for sequences of simplifying expressions.
    * Set up and solve various types of application problems.
    * Apply each of the above skills as part of the critical thinking and problem solving process.


    Upon successful completion of MA113 C the student should be able to:

    1) Read and write whole numbers and decimals.
    2) Perform basic mathematical operations with whole numbers, decimals, and fractions.
    3) Perform basic mathematical operations with integers.
    4) Simplify ratios and write rates as ratios.
    5) Examine and solve problems involving decimals with applications to measurement and finance.
    6) Demonstrate specifications in automotive situations.
    7) Demonstrate tolerances in automotive situations.
    8) Find a tolerance inequality of a specification.
    9) Sketch a tolerance interval graph.
    10) Examine and solve problems involving decimals with applications to measurement.
    11) Solve proportions.
    12) Solve problems with direct and inverse proportions.
    13) Demonstrate and solve variations problems.
    14) Write a formula given an inverse variation.
    15) Write a formula given a direct variation.
    16) Convert between percents, decimals, and fractions.
    17) Solve problems with signed numbers and apply these to automotive situations.
    18) Find the percent, part, or whole in percent problems.
    19) Complete repair orders with taxed and untaxed amounts.
    20) Find profit, loss, and commission in the sales aspect of a dealership.
    21) Find the interest and payments of a loan.
    22) Solve problems involving the automobile engine.
    23) Solve problems involving automobile engine systems.
    24) Solve problems involving automobile electrical systems.
    25) Apply Ohm's law in electrical problems.
    26) Solve problems involving automobile drive trains.
    27) Describe the basic functions of a transmission.
    28) Calculate gear ratios in transmissions.
    29) Solve problems involving crankshafts and camshafts.
    30) Define torque.
    31) Calculate torque for automotive applications.
    32) Calculate horsepower given the torque.
    33) Solve horsepower problems.
    34) Calculate the compression ratio of an engine.
    35) Solve problems involving automobile hydraulic systems.
    36) Apply the relationship between force and pressure in hydraulic systems.
    37) Solve problems involving automobile heating and air conditioning systems.
    38) Define calorie, joule, and BTU.
    39) Calculate tons of refrigeration effect of an air conditioner.
    40) Calculate the cooling rate of an air conditioner.
    41) Examine air conditioner situations with mathematics.
    42) Find the volume of a cylinder, and calculate engine displacement.
    43) Measure an angle with a protractor.
    44) Convert degrees to minutes and seconds, and vice versa.
    45) Use DMS in a calculator.
    46) Demonstrate the customary and metric systems of measure.
    47) Convert between the metric and customary systems of measure with conversion factors.
    48) Demonstrate measurement tools: rulers, micrometers, meters (analog and digital), and dial indicators.
    49) Read drill size tables.
    50) Read and interpret tables and graphs.
    51) Know how to make a linear graph from a table of data.
    52) Find the equation of a line by using two points.
    53) Use the slope-intercept form and point slope form of a line to graph a line and solve a linear problem.
    54) Use a graph of a line to solve a problem.
    55) Calculate the mean, median, and mode of a set of data.


    If you are having problems you are encouraged to come see me during my office hours, and there are tutors available, free of charge, in Mansur Hall, Room 124. Contact them at 575.492.2623 for the free tutoring. You can get additional help for free online with Brainfuse at See the handout for more details. Also feel free to call me for help or see me for other methods of assistance. It is very important for you to seek help if you are having trouble.


    1) Cheating will not be tolerated.

    2) All students in this classroom are adults and will act as such. Disruptions in the class will not be tolerated. First Offense: student will be given a verbal warning. Second Offense: student will be asked to leave the room and lose attendance point for that day. Third Offense: a conference with the Dean will be necessary before the student may return to class.

    3) Cell phones and pagers will be turned off while you are in the classroom.



    Students will be held responsible for the information on these pages.

    Academic Honesty
    Each student is expected to maintain the highest standards of honesty and integrity in online academic and professional matters. The College reserves the right to take disciplinary action, up to and including dismissal, against any student who is found guilty of academic dishonesty or otherwise fails to meet these standards. Academic dishonesty includes, but is not limited to, dishonesty in quizzes, tests, or assignments; claiming credit for work not done or done by others; and nondisclosure or misrepresentation in filling out applications or other College records. Cheating or gaining illegal information for any type of graded work is considered dishonest and will be dealt with accordingly.

    Americans with Disabilities Act (ADA) Information
    Any student requiring special accommodations should contact the Special Needs Student Services Coordinator at (575) 492-2576 or by e-mail at

    Attendance Policy
    Attendance is required at every session of each course for which the student is enrolled. When unavoidable circumstances make attendance impossible, students must provide a satisfactory explanation of their absences to their professors. College-sponsored activities are considered excused absences and the appropriate sponsor of those students who will be absent from class will notify professors. Students having absences due to college-sponsored activities will need to make arrangements with the affected classes / professor to take care of required work; however, arrangements for make-ups should be made within a reasonable time frame, usually within one week of the absence. Regarding make-up work, absences due to late registration are considered the same as regular absences.

    Cell Phones/Pagers
    All cell phones and pagers must be turned off when the student is participating in any lecture, laboratory, or other learning activity.

    Classroom Conduct
    The professor is responsible for maintaining a class environment best suited for effective learning. By registering for this class, the student is assumed to have entered into an agreement with New Mexico Junior College and the professor to attend the class regularly and to behave in an appropriate manner at all times. Disruptive behavior may result in the student being removed from the class.

    Food and Drink Policy
    Food items and soft drinks may not be consumed in NMJC classrooms. Students are also discouraged from bringing food and drink items into the classroom even though these items remain in sealed packaging. Bottled water is permissible.

    No Children in the Classroom
    In order to adhere to instructional procedures as well as maintain the safety of children, NMJC’s policy of no children in the classrooms (lecture, lab, etc.) will be followed.

    Offering the work of another as one’s own, without proper acknowledgment, is plagiarism; therefore, any student who fails to give credit for quotations or essentially identical expression of material taken from books, encyclopedias, magazines and other reference works, or from the themes, reports, or other writings of a fellow student, is guilty of plagiarism. Plagiarism violates the academic honesty policy and is considered cheating.

    Smoking/Use of Tobacco
    New Mexico Junior College is cognizant of the health hazards associated with smoking / use of tobacco for the smoker, as well as the non-smoker. In an effort to provide a healthy environment for students, employees, and others who may frequent the campus, NMJC prohibits smoking / use of tobacco inside any campus building or facility.

    Tutoring Assistance
    Free tutoring services are available to all NMJC students through Brainfuse and the Academic Success Center located in Mansur Hall room 123 and 124.

    Withdrawal Policy
    Regular, punctual attendance is required for all classes at NMJC. Although the professor has the right to drop any student who has missed the equivalent of 2 weeks of instruction (based on a 16 week semester) whether it’s a face to face, online, or a hybrid course, it is not guaranteed that the professor will drop the student. If the student chooses to stop attending a class, he/she should withdraw from the class by accessing your student account in the T-Bird Web Portal at, or submitting the required paperwork to the Registrar’s Office by 5:00 p.m. on Tuesday, November 21, 2016. All students are encouraged to discuss their class status with the professor prior to withdrawing from the class.

  15. COURSE OUTLINE This outline for Technical Mathematics is a tentative outline, that is subject to change at the discretion of the instructor.




    Rouvel Homework

    Glencoe Homework



    Whole Number Operations with General Applications

    Chapter 1.1: Evens; 1.2: 1-15 3M and 16, 19, 22, 23; 1.3: 1-13 3M, and 14, 16, 19, 22; 1.4: 1-16 3M, and 18, 20, 22, 24,26, 29; 1.5: 1-19 3M, and 20, 22, 25, 26, 29; 1.6: 1-19 3M, and 20, 23; 1.7: 1-13 3M, and 18.

    p 13



    Decimal Operations with Applications to Measurement and Finance

    Chapter 2 2.1: Evens; 2.2: All; 2.3: 1-22 3M, and 24, 27, 31, 32, 34, 37, 38, 40, 42, 45; 2.4: 1-19 3M; 2.5: 1-22 3M, and 26, 28, 31, 32, 36, 38, 40, 42; 2.6: 1-46 3M; 2.7: 1-16 3M

    p 18 Apply It! P 19 Apply It! pp 43-4 #1-10, p 50 #1, p 57 Apply It!, p 77 #2, p84 #2, pp 71-72 All



    Fractional Operations with Applications to Measurement

    Chapter 3 3.1: 1-61 3M; 3.2: 1-19 3M; 3.3: 1-16 3M, and 20, 22, 24, 26; 3.4: 1-16 3M, and 19, 22, 23; 3.5: 1-25 3M, and 26; 3.6: 1-28 3M; 3.7: 1-19 3M

    pp 47-8 #1-8



    Ratio and Proportion

    Chapter 4 4.1: 1-25 3M; 4.2: 1-25 3M, and 28, 30, 32; 4.3: 13-14

    p 20 #1 & 2, p 56 #1-4, p 69 Apply It!, p 88 Apply It!, pp 89-90 #2, 5, 6, 7, p. 101 Apply It!



    Direct and Inverse Variations.





    Exam 1 Chapters 1 through 4, & Supplement.





    Percent and Percent Applications.

    Chapter 5 5.1: 1-52 3M; 5.2: 1-28 3M; 5.3: 1-25 3M, and 28, 33, 36; 5.4: 1-16 3M, and 17, 20

    p 11 #1-6 and p 63 #1-3 all



    The Metric System and Unit Conversion.

    Chapter 6 6.1: All; 6.2: 1-22 3M, 6.3: 1-28 3M; 6.4: 1-22 3M; 6.5: 1-16 3M

    p 32 #1-3, p 98 #3-9 odds, p 192 Handout #1-7 odds, p 78 #1-5 odds




    Chapter 7 7.1: 1-19 3M; 7.2 1-16 3M; 7.3: 1-10 3M; 7.4: 1-25 3M; 7.5: 1-19 3M; 7.6: 1-58 3M

    p 104 #2 vehicles 10-14, pp 109 Apply It!



    Signed Numbers.

    Chapter 8 8.1: 1-16 3M; 8.2: 1-34 3M, and 35, 38, 39-42 all; 8.3: 1-19 3M, and 21, 24




    Exam 2 Chapters 5 through 8





    Completing Repair Orders.

    Chapter 16 1-25 3M, and 30

    p 108 #1-3



    The Automobile Engine.

    Chapter 9 9.1: 1-19 3M; 9.2: 1, 4, 8, 10, 11, 14, 18, 20, 21; 9.3: 3, 6, 8, 16, 20, 24; 9.4: 2, 5, 8; 9.5: 2, 5

    p 34 #2-10 evens, pp 35-6 #1-8, p 64 #8-14, pp 67-8 #1-11 odds, p 73 #1-3, p 80 #1-7, p 87 #1-5

    Institutional Assessment: Critical Thinking: Problem Solving with Critical Thinking: Engine Displacement



    Crankshafts and Camshafts

    Chapter 10 10.1: 2, 4, 5, 8, 10; 10.2: 2, 4, 5, 8, 10, 12, 14; 10.3: 4-7, 12-15

    p 73 #1-3, pp 105-6 #1-13 odds, p. 74 #1, 3, and 4, p. 93 Apply It! p. 112 #1-4



    Exam 3 Chapters 9, 10, & 16






    Chapter 11 11.1: 2, 4, 6, 10, 14, 16, 20; 11.2: 2, 4, 6, 9; 11.3: 1-10 3M; 11.4: 2, 4, 7; 11.5: 2, 5

    pp 41-2 #1-8



    Transmission and Gear Ratios.

    Chapter 12 12.1: 1, 4, 6, 8, 9, 12, 13, 16; 12.2: 2, 4, 6, 9, 11, 12, 16; 12.3: 1-10 3M; 12.4: 2, 7, 9, 12; 12.5: 1-13 3M

    p 74 Apply It! #1, 3, 4, p 51 #Apply It!, p. 52 #1, p. 88 Apply It!, p. 89 #2, 5, 6 and 7



    Hydraulic Systems

    Chapter 13 13.1: 1-16 3M, and 18; 13.2: 1-16 3M; 13.3: 1-13 3M; 13.4: 1, 4, 7

    p 17 Apply It!, p 23-4 #1-7 odds, p 61-62 #1-6, p 301 Handout #1-2, p. 119 #1



    Exam 4 Chapters 11 through 13





    Electrical Systems

    Chapter 14 14.1: 2, 4, 6, 8, 9; 14.2: 2, 4, 6, 8, 9, 11; 14.3: 2, 4, 6, 8, 11, 14, 15, 18

    pp 25-6 #1-6, pp 27-8 #1-9 & Apply It!, p 29 #1-3 & Apply It!, p 30 #1-2, p 31 #1-3 & Apply It!, p 85 Apply It



    Automobile Heating and Air Conditioning.

    Supplement All

    p 75 Apply It!, p 76 #4, 5



    Measurement Tools.

    Supplement All




    Graphing Linear Equations.

    Supplement All

    pp 21-2 #1-7, pp 23-4 #1-8, p 37 Apply It!, pp 37-8 #1-8, p 39 Apply It!, p 56 Apply It!, pp 61-2 #1-6

    1 through 8

    Glencoe Automotive Excellence

    Automotive Applications of the above subject areas.





    TBA in HH127