Math Analysis

Central Virginia Governor's School for Science and Technology
Math Analysis Syllabus           2013-2014

Instructor:  Dr. Charlie Jones (cjones@cvgs.k12.va.us)

Course Materials
Textbook:   Precalculus: Enhanced with Graphing Utilities, 5th ed, by Michael Sullivan & Michael Sullivan III.  We will also use graphing calculators and computer software.

Course Description
Math Analysis is a pre-calculus course that includes an in-depth conceptual analysis of algebraic, polynomial, rational, logarithmic, exponential, and trigonometric functions.  Topics include graphical behavior, domains and ranges, roots (real & complex), turning points using the first derivative, graphing (using transformations with and without a graphing calculator), application problem solving and data analysis (using introductory statistics, given data, and data gathered in laboratory activities), and an introduction to integration.  Parametric equations are presented with a focus on applications and conceptual analysis.  Analysis includes required algebraic proofs and/or conceptual explanations in all written and oral presentations.  Graphing calculators, spreadsheets, and a computer algebra system are used extensively.  The study of matrices is included and optional topics include an introduction to sequences and series.

Course Focus
The course is designed to better integrate mathematics and the world around you. Mathematics units will sometimes be chosen to complement particular physics units. For one example, mathematics and physics will coordinate the study of the derivative. This organization is an attempt to make the topics more meaningful and to save your time by "sharing" concepts. Throughout the course, emphasis is on active participation, investigation of the problems, interpretations of solutions, understanding of techniques, and communication of results.

Class Methodology (and Expectations)
Class activities include lecture (including discussion and question answering), group activities and projects, group work on homework, individual work, and individual consultation with the instructor.  Some specific expectations follow.

  • I expect you to learn the material thoroughly.  Through the lectures, activities, and individual meetings, I will try to facilitate your learning, but ultimately, you must actively take responsibility for your learning.  I encourage you to work with the other members of the class to learn the material.
  • I expect you to participate in each class meeting.  During the lecture portion, be attentive, ask questions, and provide answers to questions posed by your classmates and myself.  Work cooperatively with your classmates during the independent portion.
  • I expect you to work diligently on each homework assignment and each project.  Working on these problems is the most important part of the course.   
  • I expect you to carefully read the textbook.  During lecture, I will address major ideas and some examples, but there will be topics and examples you should learn from the textbook.  You will often have to creatively solve problems based on your knowledge of the concepts. 
  • I expect you to take the tests as scheduled.  If you need to miss an test, you must make arrangements in advance.  For policies concerning the exams, please refer to the CVGS Student Handbook.  Many test and  exam questions will be quite similar to homework questions and/or examples from class; however, you will also be asked a few questions based on your understanding of the concepts.

Absences/Tardiness/Behavior
If a student is absent (excused) for only one class meeting, then upon return, the student is expected to submit any work that was due during the absence.  If a test was missed, the student is expected to take the test on the day of return.  If a student misses two or more consecutive class meetings, then the student should talk to the instructor on the day of return to devise a plan to catch up.  For planned absences (e.g., college visits, conference attendance, etc.), the student should discuss the plan with the instructor in advance.  Failure to do so will result in an unexcused absence.  For any unexcused absence, homework will not be accepted late and test grades will be lowered by 10 points per day (counted from the scheduled test date until the day the test is taken).

 You are expected to be in class on time.  During each semester, your first two tardies will be excused; for each additional tardy, ½ point will be deducted from your overall semester average.

You are expected to work diligently during class time, both during class discussions/lectures and during independent work time.  During independent work time you are expected to work on mathematics unless you have completed the current assignment; in that case, you may do any academic work.  Any disruptive behavior during class will result in point deductions from your overall semester average; there will be no warnings, just the penalty.  Also, you can receive more than one penalty in a day.  You can also receive a penalty for goofing off, even though you are not disruptive. 

Honor Code 
Students are required to pledge all work that they turn in for a grade.  Please refer to the CVGS Student Handbook for complete requirements.