# National University

General Course Information for MTH630: Fundamentals of Geometry

Course: MTH630 - Fundamentals of Geometry
Textbook: For the correct edition of the textbook assigned to a specific class, go to: http://www.nutextdirect.com

Course Prerequisite(s):

## Recommended Preparation

Course Description: Considers areas of Euclidean and non-Euclidean geometries, axiomatic systems, synthetic and analytic representations, relationships with algebra, and selected topics and applications
Course Learning Outcomes:
• Evaluate and contrast projective geometry as generalizations of Euclidean geometry
• Evaluate projective geometry as developed from a set of axioms or from groups of transformations
• Analyze the various attempts to prove the Fifth Postulate and the social climate of the times and countries
• Analyze Euclidean, hyperbolic geometry and elliptic geometry
• Elaborate straightedge and compass constructions and the geometric constructions of arithmetic operations
• Discuss the concepts in Euclid's elements, Euclidean geometry and proofs of the theorems of Thales and Pythagoras
• Elaborate definition of geometry as study of invariants of groups of transformation, introduction to transformation groups, quaternion field, and operations on spherical spaces
• Elaborate the concept of parallax and describe how modern scientists use non-Euclidean geometry to attempt to describe the physical nature of the universe
Specified Program Learning Outcomes:
• MASTER OF SCIENCE IN MATHEMATICS FOR EDUCATORS
• Analyze the research results and data on curricular materials, content, teaching methods, and new trends in mathematics education.
• Based on acquired advanced mathematical abilities analyze and evaluate main principles of general mathematics and mathematics education.
• Conduct original research in mathematics education and related mathematical content areas.
• Evaluate primary research in mathematics education and related areas, including the identification of strengths and weaknesses of studies.
• Propose and employ new robust and theoretically grounded approaches, methods and curricular related researches in teaching mathematics.

Students with Disabilities:
Students seeking special accommodations due to a disability must submit an application with supporting documentation, as explained under this subject heading in the General Catalog. Instructors are required to provide such accommodations if they receive written notification from the University.

Writing Across the Curriculum:
Students are expected to demonstrate writing skills in describing, analyzing and evaluating ideas and experiences. Written reports and research papers must follow specific standards regarding citations of an author's work within the text and references at the end of the paper. Students are encouraged to use the services of the University's Writing Center when preparing materials.

The following website provides information on APA, MLA, and other writing and citation styles that may be required for term papers and the like: http://nu.libguides.com/citations

National University Library:
National University Library supports academic rigor and student academic success by providing access to scholarly books and journals both electronically and in hard copy. Print materials may be accessed at the Library in San Diego or through document delivery for online and regional students. Librarians are available to provide training, reference assistance, and mentoring at the San Diego Library and virtually for online or regional students. Please take advantage of Library resources:

Contact the Library:

• RefDesk@nu.edu
• (858) 541-7900 (direct line)
• 1-866-NU ACCESS x7900 (toll free)

Use the Library Training Tools (on the Library Homepage) for additional help

• Recorded class presentations
• Tutorials & Guides (APA/MLA, Peer-Review, and more)

Plagiarism:
Plagiarism is the presentation of someone else's ideas or work as one's own. Students must give credit for any information that is not either the result of original research or common knowledge. If a student borrows ideas or information from another author, he/she must acknowledge the author in the body of the text and on the reference page. Students found plagiarizing are subject to the penalties outlined in the Policies and Procedures section of the University Catalog, which may include a failing grade for the work in question or for the entire course. The following is one of many websites that provide helpful information concerning plagiarism for both students and faculty: http://www.indiana.edu/~wts/pamphlets/plagiarism.shtml

Ethics:
Ethical behavior in the classroom is required of every student. The course will identify ethical policies and practices relevant to course topics.

Technology:
Students are expected to be competent in using current technology appropriate for this discipline. Such technology may include word processing, spreadsheet, and presentation software. Use of the internet and e-mail may also be required.

Diversity:
Learning to work with and value diversity is essential in every class. Students are expected to exhibit an appreciation for multinational and gender diversity in the classroom.

Civility:
As a diverse community of learners, students must strive to work together in a setting of civility, tolerance, and respect for each other and for the instructor. Rules of classroom behavior (which apply to online as well as onsite courses) include but are not limited to the following:

• Conflicting opinions among members of a class are to be respected and responded to in a professional manner.
• Side conversations or other distracting behaviors are not to be engaged in during lectures, class discussions or presentations
• There are to be no offensive comments, language, or gestures