Essentials of Algebra II (4)

Dr. Caldwell's Math 110 Syllabus
(This Math 110 syllabus and other course resources are available at


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!


Catalog Description:

Math 100-110:  Functions and their graphs (including polynomial, rational, exponential, and logarithmic), exponents, roots, radicals, rational expressions, factoring polynomials, zeroes of polynomials, solutions of linear and nonlinear equations and inequalities, systems of equations and inequalities, matrices and determinants, inverse functions.  Prereq: C or better in Math 100.

Image of textbook


Essentials of College Algebra, 11th Edition, Lial, Hornsby, Schneider, Addison Wesley, ISBN: 9780321912251


Essentials of College Algebra, 11th Edition, Lial, Hornsby, Schneider, Addison Wesley with MyMathLab, ISBN: 9780321912152

You must have access to a copy of the text to do the homework for each class day--but it can be hardback, soft-back, electronic, loose leaf, ... (just make sure it is the 11th edition).


Learning is a biological process that requires your involvement. In mathematics classes especially, you must do the homework. To encourage you to do the homework, we will start most days with a brief "quiz" (usually less than five minutes), usually one problem directly 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, the quiz points should be automatic!

These quizzes will be graded on a four-point scale: four points for the correct answer, three for a partially correct answer and two points if you just put your name.  If you are late, turn in a blank quiz after class for the two points.

If you miss a class, then you will get a zero; however, the three lowest quizzes will be dropped.  At the end of the semester, all of your quiz points will be added, then converted into a percentage score.

Quizzes will be excused for appropriate excuses, but you must let me know (and provide documentation) within two weeks.  Being excused from a quiz does not excuse the next class' quiz (so if you miss class for any reason, you should still do your homework and be ready for the quiz--come see me if I can help).

Quizzes will usually be returned the next class meeting.  Those that are not picked up will be discarded after three class periods.


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 very rarely and and never to just temporarily improve your GPA. Do not copy another student's work or allow trhem to copy yours.

The course grade will be determined as follows:

  •   7 %   quizzes (daily five-minute quizzes)
  • 55 %   tests (about five fifty-minute tests)
  • 20 %   lab grade (Lecture / Lab grade Breakdown)
  • 18 %   final (the final is comprehensive)

Learning Outcomes for 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.  Courses in this area will enable students to communicate using the language of mathematics.

Student Learning Outcomes:

  1. Students will use appropriate notation and vocabulary to communicate mathematics.
  2. Students will use symbolic and numerical methods to perform calculations.
  3. Students will solve problems with real-world applications.

Teaching Objectives:

The student will:

  1. Determine if the inverse of a function exists and relate the graphs of the function and its inverse.
  2. Find the formula for the inverse of a one-to-one function.
  3. Perform binary operations on functions.
  4. Find the composite of two functions and determine its domain and image set.
  5. Graph exponential and logarithmic functions.
  6. Solve exponential and logarithmic equations.
  7. Apply exponential and logarithmic functions to solve real-world problems.
  8. Use technology to fit curves to points in the xy-plane.
  9. Solve systems of equations and inequalities.
  10. Evaluate and graph rational functions.
  11. Solve equations and inequalities involving rational, root, power, and absolute value functions.
  12. Graph a convex polygon to represent a given set of inequalities.
  13. Determine the vertices of a convex polygon and use the vertices to maximize or minimize a function in two variables.
  14. Calculate the sum and product of two matrices when defined.
  15. Perform scalar multiplication.
  16. Apply the inverse of a (2×2 or 3×3) matrix to find the solution of Ax = b.
  17. Find a partial fraction decomposition for a rational function.


Homework will be evaluated through the quiz policy.  If you do not do the homework, then you will be unlikely to pass.  Go to this spot on the syllabus online to access the assignment list.

Homework will be evaluated through the quiz policy.  If you do not do the homework, then you will be unlikely to pass.  Click on the button to the right for the list of daily assignments.

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.



Attendance is mandatory and will be enforced through 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.


The Department of Mathematics and Statistics publishes a syllabus for each of it courses which may be viewed in my office or on the departmental web pages.

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: