Mathematics 140 (3 credit hours)


Dr. Caldwell, office 429 Humanities, office phone 7336.  Department office 7360.  E-mail:  Web page:

My main goal in this course is to teach you about this subject that I love.  It may not be obvious, but the way I teach this class (daily homework quizzes, tests, ...) are designed to help you succeed and to make sure all students are treated fairly. Come by my office anytime--too few students take advantage of office hours.  At UT Martin you can talk to and work with your teachers, take full advantage of that!

Math 140 textbook cover
Algebra & Trigonometry Enhanced with Graphing Utilities (custom UTM 2nd edition), Sullivan & Sullivan (taken from 7th Edition), Pearson, ISBN: 1323441573 or 9781323441572.   No access code needed (we will use the book, not any online component). You must have a way to see the problems in the book, so you can have a paper copy or electronic copy. Note this book is just part of the much larger book Algebra and Trigonometry Enhanced with Graphing Utilities (7th Edition) by Michael Sullivan & Michael Sullivan III so access to this book (in most any form) would also work.
A copy of the departmental course syllabus can be viewed on the web at
General Education:
The faculty of UT Martin have included this as a general education course with the following course goal and student learning outcomes.

Curriculum Goals: The purpose of the Mathematics requirement is to teach students to organize, evaluate and solve problems using both abstract and quantitative approaches. All learning outcomes must be satisfied by any course in this category.

Student Learning Outcomes:
  1. Students will build on (not replicate) the competencies gained through the study of high school mathematics.
  2. Students will use mathematics in problem solving.
  3. Students will use mathematics to solve real-world problems.
  4. Students will connect mathematics to other disciplines.
  5. Students will use technology for mathematical reasoning and problem solving.
  6. Students will apply mathematical and/or basic statistical reasoning to data analysis and graphs.
Teaching Objectives:
Student Learning Outcomes:
  1. Determine the domain and codomain of relations and domain and image set of functions.
  2. Perform binary operations on functions.
  3. Find the composite of two functions and determine its domain and image set.
  4. Determine if the inverse of a function exists and relate the graphs of the function and its inverse.
  5. Find the formula for the inverse of a one-to-one function.
  6. Evaluate and graph functions including piece-wise defined functions.
  7. Apply symmetries, reflections, and translations to curve-sketching.
  8. Use technology to fit curves to points in the xy-plane.
  9. Solve exponential and logarithmic equations.
  10. Apply exponential and logarithmic functions to solve real-world problems.
  11. Apply polynomial and synthetic division to finding zeroes of a polynomial.
  12. Apply the Remainder, Factor, and Rational Root Theorems to determine zeroes of a polynomial.
  13. Sketch the graphs of polynomial functions.
  14. Approximate zeroes of polynomials.
  15. Solve systems of equations and inequalities.
  16. Evaluate and graph rational functions.
  17. Graph a convex polygon to represent a given set of inequalities.
  18. Determine the vertices of a convex polygon and use the vertices to maximize or minimize a function in two variables.
  19. Calculate the sum and product of two matrices when defined.
  20. Perform scalar multiplication.
  21. Apply the inverse of a (22 or 33) matrix to find the solution of Ax = b.
The course grade will be determined as follows.
  • 16 %   quizzes (daily five-minute quizzes at the start of class) 
  • 64 %   tests (four one period tests)
  • 20 %   final (the final is comprehensive)

Letter grades will be assigned as follows:

90-100% A,   80-89% B,   70-79% C,   60-69% D,   0-59% F.

The grade of I is given extremely rarely and never just to temporarily improve your GPA.  No extra credit.

There is no way to pass a real mathematics class without doing the homework. So to help you focus on the homework, we will start most days with a brief "quiz" (usually less than five minutes).  This will be a problem similar to a problem from the previous night's homework.  You will be allowed to use your personal handwritten notes; but not your book, computer or printed notes.  If you have attended class and done all the homework, you should earn 100% on the quizzes.

These quizzes will be graded on a four-point scale: one point for your name, four points for the correct answer, and two or three for a partially correct answer.  If you are late, you will get a one.  If you cheat, you may get a zero or negative score. 

If you miss the day, then you will get a zero.  Exceptions will be made for appropriate excuses, but you must let me know (and provide documentation) within two weeks.  Being excused from an absence does not excuse the next day's quiz.  If you miss class for any reason, you should still do your homework and be ready for the quiz.

The four lowest quiz scores will be dropped (other than "earned" zero or negative scores, see above).  All of your remaining quiz points will be added, then converted into a percentage score.

Quizzes and tests will usually be returned the next class meeting. Those that are not picked up will be tossed out a week later.

Tests & Final:

The homework, quizzes and classroom examples indicate the type of problems that will be on the tests and final (possibly changed to a multiple-choice format).  There are no make-up tests.  With an appropriate excuse, you can take a test early, but not late. If you miss a test, the missing grade wil be replaced by the average of the following tests and final.

The final will be a departmental comprehensive exam.  Review for the final by studying the hour tests, homework and quizzes.  There are usually practice final(s) online.   You may not leave the room (and phone, smart watches... must not be visible) during any test or final.

Homework will be checked via the quiz policy.  If you do not do the homework, you are very unlikely to do well on the quizzes or the tests, and you should then expect to fail.
Attendance is mandatory and enforced by the quiz policy.
This course requires a graphing calculator (we strongly recommend any TI 83+ or TI 84), and those with algebraic operating systems are not allowed.  TI-Inspires must be used with a TI 84 face plate.  Students may not share calculators during tests.  Check your batteries before tests.
Canceled classes:
You (and the state) have paid well for the courses taught here so mathematics and statistics teachers very (very) rarely cancel classes. However, sometimes (especially in the spring) the university closes due to bad weather.  If this happens, I will contact you by Canvas and/or the e-mail address stored in the Banner system to let you know how we will make up the work.  I will also adjust the homework schedule on-line to reflect the change.
Academic dishonesty will not be tolerated and will result in at least a zero for the quiz, test or assignment.  Your Student Handbook clearly states "suspension from the university is the expected penalty" for "plagiarism, cheating, and academic integrity issues" and this includes submitting the work of another person as your own or permitting another to submit yours as his/her own.
Disability Services:

The University of Tennessee provides reasonable accommodations (academic adjustments and auxiliary aids) to ensure equal access to educational content and university programs for students with disabilities.  Any student eligible for and requesting accommodations due to a disability must provide instructors with a letter of accommodation from Disability Services.  For additional information, please contact the Disability Services office at 209 Clement Hall, (731) 881-7605.


If you have any questions:

  • Come by my office and we'll talk! (You are the reason I do this job.)
  • Ask in class after the quiz
  • Study with a friend (making friends in class is a good idea)
  • Form a study group in the class
  • Ask in the Math Learning Center (Math Lab): MTWTh 9-4 in B103A (Humanities Basement), 4-8 in Humanities 408
  • Ask in the STEM Lab, Library Media Center (room 120), MTuWTh 9-7, Fri 9-1
  • Find a private tutor (perhaps ask Mr. Bush, director of the Math Learning Center, if he has a list)