Northeastern State University

College of Mathematics, Science and Nursing

Department of Mathematics and Computer Science

Syllabus for MATH 3313 - College Geometry

PREREQUISITES: Math 2113 Analytic Geometry

CATALOG DESCRIPTION OF COURSE: An advanced study of Euclidean geometry including angles, triangles, parallel and perpendicular lines, circles, polygons, similarity, areas and volumes.

COURSE PURPOSE: This course provides the student with a comprehensive treatment of classic Euclidean geometry complete with mathematical proofs. This course is required for mathematics education majors and any who plan to teach mathematics (especially geometry) at the secondary level.

EXPECTED COURSE OUTCOMES: The student will be expected to achieve the following objectives:

  1. Communicate effectively with mathematical symbols.
  1. Identify, analyze, and classify two and three dimensional geometric figures.
  1. Learn appropriate formulas and calculate perimeters, areas, volumes of geometric figures.
  1. Apply problem solving strategies to real-life application problems involving measurement and geometric figures.
  1. Write direct and indirect proofs of geometric theorems.
  1. Using compasses, miras and straightedges, students will do a variety of geometric constructions.
  1. Compute efficiently choosing the appropriate method - paper and pencil algorithms, calculator, or mental calculation.

INSTRUCTIONAL MATERIALS: (Required Textbook) College Geometry : A Discovery Approach by David Lay, Addison Wesley Publishing 2001 (2nd Edition).

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 and invite guest speakers, for the purpose of enriching the students total experience.

College Geometry

1. Problem Solving in Geometry

2. Geometric Shapes and Measurement

A. Axiomatic System/ Segments/Angles

B. Polygons and Circles

C. Angle Measure in Polygons and Tessellations

D. Three-Dimensional Shapes

3. Perimeter, Area and Volume

A. Circles, Rectangles, Triangles

B. Parallelograms, Trapezoids, Regular Polygons

C. Pythagorean Theorem and Right Triangles

D. Surface Areas

E. Volumes

4. Reasoning and Triangle Congruence

Topic #2 (in appendix) Elementary Logic

A. Reasoning and Proof in Geometry

B. Triangle Congruence Conditions

C. Problem Solving and Constructions

5. Parallel Lines and Quadrilaterals

A. Parallel Postulate

B. Parallelograms and Rhombuses

C. Rectangles, Squares and Trapezoids

D. Applications and Constructions

6. Similarity

A. Ratio and Proportion

B. Similar Triangles

C. Applications/ Right Triangle Trigonometry

7.Circles

A. Central and Inscribed Angles

B. Chords of a Circle

C. Secants and Tangents

D. Applications and Constructions

 

8. Transformational Geometry

Topic 4 (In appendix) Non-Euclidean Geometry

A. Isometries and Congruence

B. Similitudes and Similarity

C. Problem Solving Using Transformations

ADA COMPLIANCE: If any member of the class feels that he/she has a disability and needs special accommodations, please advise the instructor of such disability 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.