Syllabus for Course of Instruction

 

I.                    Basic Information of the Course

 

Mathematics 211, Calculus and Analytic Geometry I,

4 hours credit

Prerequisite Skills: MAT 116, or an acceptable score on the Calculus Readiness Test.

 

II.            Course Instructor

 

Instructor: Mr. Dwayne Jennings, Associate Professor of Mathematics

Office:  C-51

Telephone Extension: 661-5273

 

 

III.               Primary Objectives of the Course

 

 

Students should be able to:

 

·         Apply properties of absolute value in proving a function has a limit at a point using the epsilon-delta definition of limit

·         Evaluate two-sided and one-sided limits of elementary functions

·         Determine if a given function is continuous at a point

·         Apply sum, difference, product, quotient and chain rules to differentiate given polynomial, rational and trigonometric functions

·         Find the derivative of a function or curve defined with parametric equations

·         Convert to differential notation

·         Write the linearization of a function at a point

·         Recall and apply the First Derivative Test and Second Derivative Test for relative extrema

·         Recall and apply the Mean Value Theorem

·         Use substitution methods to evaluate indefinite integrals

·         Recall and apply the Fundamental Theorem of Calculus

 

IV.                Method of Instruction

 

The course will be taught by using a lecture-demonstration-discussion method combined with a laboratory component where students will work individually and in small groups on Calculus projects using Mathematica.

 

V.                  Required Text and Supplies

 

Thomas’ Calculus (11th Ed.) by Weir, Hass and Giordano

 

VI.                Assigned Reading

 

TBA

 

VII.             Special Projects and/or Activities

 

Students will be expected to complete a number of special projects in Calculus using the Computer Algebra System Mathematica.  Students are strongly encouraged to attend one of the Introduction to Mathematica training sessions offered at the beginning of the semester.  The ability to use Mathematica to solve Calculus problems is a major goal of the course.

 

VIII.       Method of Evaluation

 

A number of homework checks on both computer lab and pencil and paper techniques will be performed.  A number of daily quizzes will be given in addition to unit tests as described above.  Generally major unit tests together with the final exam will comprise approximately 65% of the total points; computer lab work, daily homework checks and quizzes will comprise approximately 35% of the total points in the course.  The final grade will be determined by the ratio of (points earned)/ (points possible) and using the published grading scale at Union University.  Calculators with symbolic capabilities (e.g., TI-89 or 92) will not be allowed on Tests or quizzes.

 

IX.          Attendance Policy

 

Regular and successive attendance is expected of all students.  This will be especially important for the computer component of the course.  In order to promote regular class attendance, quizzes will be given and attendance will be checked daily.  An unexcused absence on a day where homework is checked, a quiz or unit test is given or an assignment is due will result in a score of zero on that particular day’s grade.  Please note that all students are expected to be on time for class.  Any student who misses an excessive number of times will be reported to the Academic Center.

 

X.            Statement on Cheating and Plagiarism

 

Cheating of any type will not be tolerated.  If a professor observes cheating by a student, the student will receive a zero and will be reported to the Office of Provost.

 

XI.          The Last Day to Drop the Course without the special permission of the Registrar is

 

XII.             Special Graduate Requirements:  (Not Applicable)

 

XIII.          Outline of Course

 

A.                  Functions

B.                  Introduction to Mathematica

C.                  Introduction to Conics

D.                  Limits and Continuity

E.                   Derivatives

F.                   Applications of Derivatives

G.                  Indefinite Integrals

H.                  Definite Integrals

 

XIV.           General

 

This syllabus is intended to serve as a general student guide to study this course, and to give general information relative to the “mechanics” of the course.  It is not a contract.