Northeastern State University

College of Math, Science and Nursing

Department of MathematicsSyllabus for Math 2113 Analytic Geometry

Prerequisites: Math 1513 and Math 1613 or equivalent

Catalog Description of Course: Cartesian coordinates, the straight line, conic sections, polar coordinates, transformation of axes, parametric equations, curve tracing, introduction to solid analytics.

Course Purpose: This course provides the student with a comprehensive treatment of classic analytic geometry complete with mathematical proofs. This course is required for mathematics education majors and any who plan to teach mathematics at the secondary level and is designed to meet the state competencies for the advanced level Mathematics OSAT (Oklahoma Subject Areas Test).This course requires students to polish their algebra and trigonometric skills before taking Calculus.

Expected Course Outcomes:

The student will be expected to achieve the following objectives:

• Utilize basic college algebra and trigonometry skills.

• Communicate effectively with mathematical symbols.

• Identify, analyze, and classify equations and graphs of linear, polynomial, rational, transcendental functions and the conics.

• Write formal coordinate and vector proofs.

• Analyze and apply transformations in the coordinate plane.

• Apply problem solving strategies to real-life application problems involving measurement and geometric figures.

• Compute efficiently choosing the appropriate method - paper and pencil algorithms, calculator, or mental calculation.

• Analyze the role of graphing utilities in exploring the relationships among vector and transformational geometries and trigonometric functions.

• Develop an understanding of the historical development of geometry and in particular, analytic geometry.

• Use technology ( graphing calculators, DERIVE, MATHEMATICA, BLACKBOARD, internet, etc) and apply it to the learning of mathematics.

Instructional Materials: (Required Textbook)
Analytic Geometry by Gordon Fuller and Dalton Tarwater, Addison Wesley Publishing Co., 1992.

Instructional Procedures:

The expected course outcomes will be realized through a variety of instructional strategies to aid the students' construction of cognitive schemas . Those strategies include, but are not limited to, the following: expository-discussion, demonstration, inquiry, and group activities. The instructor also will integrate appropriate multi-media technology for the purpose of enriching the students total experience.

Analytic Geometry

• The Straight Line and the Circle

A. Inclination/Slope

B. Division of Line Segments

C. Relations and Functions

D. Different Forms of Linear Equations

E. Intersection of Lines

F. Directed Distance from a Line to a Point

G. Circles/ Circles Determined by Geometric Conditions

• Logic- Coordinate Proofs

A. Statements/Negation/Conjunction/Disjunction/Conditional/Biconditional/Truth Tables

B. Equivalent Statements/DeMorgan's Laws

C. Arguments/Symbolic and Syllogistic

D. Writing Coordinate Proofs

• Conics

A. Parabolas/ Derivation of Equation/ Vertex at Origin and (h,k)

B. Ellipse/Derivation of Equation/ Center at origin and (h,k)

C. Hyperbolas/ Derivation of Equation/ Center at origin and (h,k)

D. Applications/Mathematical Modeling

IV. Transformations

A. Translation

B. Rotation about the Origin

• Algebraic Curves

A. Polynomial Functions

B. Rational Functions

C. Irrational Functions

• Transcendental Curves

A. Trigonometric Functions/Exponential/Logarithms

• Polar Coordinates and graphs

• Parametric Equations

• Vectors, Lines and Planes

History of Geometry

The history of geometry and, in particular geometry, will be a focus of this course. You will research and write essay(s) about this history and questions about the historical aspects of this subjects and the contributing mathematicians will be found on the course exams.

Technology Component

You will be required to check your NSU-E-mail frequently, send e-mail to instructor, use Blackboard.com for on-line quizzes, assignments, etc, use graphing calculators/utilities, use mathematical software packages such as Derive and Mathematicia and to use the internet and wordproccesor programs to research and write essay(s) on history of geometry. Plan to spend at least 2 hours a week on the technology components of this class in addition to regular homework/study time

ADA Compliance:

If any member of the class feels that he/she has a disability and needs special accommodations , the instructor will work with you and the University's Office of Student Affairs to provide reasonable accommodations to ensure that you have a fair opportunity to perform in this class. Please advise the instructor of such disability and desired accommodations at the first class attended.

Inclement Weather/Disaster Policy:

The following are basic premises for the inclement weather policy at Northeastern State University:

1. Classes are expected to be held if at all possible.

2. It is the student's responsibility to receive the information when weather is questionable.

3. Neither students nor faculty are expected to risk life or limb.

4. Faculty members are obligated to hold classes if the University is not closed, unless the faculty member is unable to get to campus.

Policy: During times of inclement weather, decisions concerning day classes will be made by 6:00 a.m. in order for the media to be notified and for students to receive the announcement before they leave home. Decisions concerning night classes will be made by 3:00 p.m.

The following media will be notified regarding closing of the campus:

Radio Stations: Television Stations:

KRMG 740 AM Tulsa KJRH Channel 2 Tulsa

KAYI 107 FM Tulsa KOTV Channel 6 Tulsa

KTLQ 1350 AM Tahlequah KTUL Channel 8 Tulsa

KEOK 102 FM Tahlequah KFSM Channel 5 Fort Smith

KBIX 1490 AM Muskogee Cable Channel 96 Tahlequah

KMMY 97 FM Muskogee

KVOO 1170 AM Tulsa

The automated attendant message on 918-456-5511 will be modified to include information concerning campus operations during inclement weather.