MA115 Winter 2021: Northern Michigan University

This is the syllabus for Math 312. Here are links for Lecture Notes and Assignments


Dr. Josh Thompson | Campus Office - JAMR 2226 | Virtual Office | email


  • Where: West Science 3805
  • When: 11:00-11:50 p.m., Mon-Tue-Wed-Thur
  • Online: [Virtual Classroom]
  • We no longer use the [Old Link to Google Meet]
  • Office Hours

  • Monday: 2pm - 3pm
  • Tuesday: 10am - 11am
  • Wednesday: 8:30pm - 9:30pm
  • Thursday: 2pm - 3pm
  • Office hours will be held online [here].

    Your daily attendance is required. You are expected to come to class daily, to be fully awake, to pay attention to and participate in the class discussion.


    One of the following are recommened:

  • Open Stax - Algebra & Precalculus
  • Algebra and Trigonometry by Ron Larson
  • Prerequisites

    You need either:

  • C- or better in MA111
  • B- or better in MA 104
  • a satisfactory score on the Math Placement Exam.
  • Grading

  • Homework 25%
  • Quizzes 5%
  • Exams 45% (4 @ 11.25% each)
  • Final 25%
  • WeBWork

    All homework will be online via WeBWork, and is due each Monday at 8am.

  • Your username is your NMU username. [eg., joshthom]
  • Your password is your student IN.
  • Learn how to use WeBWork immediately!
  • Help can be found here.
  • Quizzes

    Unannounced quizzes will be given on occasion.


  • Exam 1 - February 4
  • Exam 2 - March 8/9
  • Exam 3 - March 25
  • Exam 4 - April 15
  • Final - April 29 10am - 11:50am
  • We follow NMU's Final Exam Schedule. Make sure that you will be able to attend the exams at the given dates and times. Exceptions can only be accepted in case of time conflicts with other courses, or serious illness with a physician's certification.
  • Calculators

    Calculators and graphing software will often be used in class and will be allowed on Some exams and quizzes. Unless otherwise notificed, you are not allowed to have any information saved in your calculators during quizzes and exams.

    You are not required to have a calculator: there are many free online graphing calculators available. [My favorite is]

    Laptops & Phones

    Do not use your laptop, phone or electronic media device in class unless instructed to do so.

    Other Resources

    There is an dizzying array of supporting materials, but many cost money.

    If you need help click here. There you will find mostly free sites & documents that will help you get off on the right foot.

    Both free and paid tutoring is available, in the tutoring lab in JMR 2nd floor.

    Outcomes & Assessment

    Upon successful completion of this course students will be able to:

  • Manipulate mathematical expressions.
  • Apply mathematical models to solve contextualized problems.
  • Recognize and analyze the natural functions and their properties.
  • Construct graphs of functions and interpret the results.
  • Evaluation of these learning outcomes will be done through a mix of assignments, class exercises, projects, research papers, group work, written & oral quizzes and tests.

    Course Description

    The first two weeks of the course we will learn some fundamental concepts and how they are used. It is very important to get a firm grasp on the fundamentals.

    Prerequisites :: Weeks 1 & 2

  • Real numbers
  • Algebraic expressions
  • Equations and Inequalities :: Weeks 2 & 3

  • Graphs of Equations
  • Linear Equations in One Variable
  • Modeling
  • Quadratic Equations
  • Linear Inequalities
  • Other Inequalities
  • Functions & Their Graphs :: Weeks 4 & 5

  • Linear Equations in Two Variables
  • Functions
  • Analyzing Graphs of Functions
  • A Library of Functions
  • Transformations of Graphs
  • Combinations of Functions
  • Inverse Functions
  • Polynomial Functions :: Weeks 5 & 6

  • Quadratic Functions and Models
  • Higher Degrees
  • Long Division
  • Zeros
  • Modeling
  • Rational Functions :: Weeks 6

  • Rational Functions & Asymptotes
  • Graphs of Rational Functions
  • Exponential & Logarithmic Functions:: Weeks 7 & 8

  • Exponentials
  • Exponentials
  • Logarithmic
  • Logarithms
  • Laws of Logs
  • Modeling
  • Trigonometry :: Weeks 8 & 9

  • Unit Circle Love
  • Angle Measure
  • Right Angle Trig
  • Trigonometric functions of angles
  • Trig graphs
  • Trig Functions of real numbers
  • Analytic Trigonometry :: Weeks 10 & 11

  • Trig Identities & Formulae
  • Additional Topics in Trigonometry :: Weeks 12 & 13

  • Law of Sines & Cosines
  • Natural Sciences Requirement

    This course satisfies the Foundation of Natural Sciences/Mathematics requirement. Students who complete this course should be able to demonstrate a basic understanding of mathematical logic; use mathematics to solve scientific or mathematical problems in college classes; express relationships in the symbolic language of mathematics; and appreciate the role of mathematics in analyzing natural phenomena.

    University Policies

    Academic Honesty: Cheating is not only unethical and pathetic, but is a violation of the Northern Michigan University Student Code and University Policy and grounds for your dismissal from the University.

    Discrimination & Harassment: Northern Michigan University does not unlawfully discriminate on the basis of race, color, religion, national origin, gender, age, height, weight, martial status, handicap/disability, sexual orientation or veteran status. If you have a civil rights inquiry, contact the Affirmative Action Office at 906-227-2420.

    Americans with Disabilities Act Statement: If you have a need for disability-related accommodations or services, please inform the Coordinator of Disability Services in the Dean of Students Office at 2001 C. B. Hedgcock Building (227-1737 or Reasonable and effective accommodations and services will be provided to students if requests are made in a timely manner, with appropriate documentation, in accordance with federal, state, and University guidelines.

    Mask Accommodation Certain students may qualify for alternative face-covering accommodations due to a variety of health conditions. These students have gone through a qualifying process with the Office of Disability Services. Faculty have been notified of which students receive these accommodations in their class. If you have concerns regarding this topic please contact the faculty member outside of class. Please do not question or confront fellow students in the classroom who are using alternative or modified face coverings.

    The Registrar: Withdrawing from any course or any matters relating to registration are the responsibility of the student. For more information regarding this topic, check out the Registrars Website.