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MATH 115 Course Syllabus
- SPRING 2013
NJIT Academic Integrity CODE: All Students should be aware that the Department of Mathematical Sciences takes the University Code on Academic Integrity at NJIT very seriously and enforces it strictly. This means that there must not be any forms of plagiarism, i.e., copying of homework, class projects, or lab assignments, or any form of cheating in quizzes and exams. Under the University Code on Academic Integrity, students are obligated to report any such activities to the Instructor.
Math 115: Elements of Geometry
Number of Credits: 3
Prerequisites: None.
Textbook: A Participatory Approach to Modern Geometry, By Jay Kappraff
Supplies: Ruler, compass, protractor, scissors, graph paper, construction paper, rubber cement or glue stick, soap eraser.
Instructor: (for specific course-related information, follow the link below)
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Math 115-004 |
|
|
Math 115-102 |
Grading Policy: Grades in this course will be determined as follows:
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▪ Midterm Exam: |
15% |
|
▪ Final Exam: |
25% |
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▪ Projective Constructions: |
15% |
|
▪ Scrapbook |
10% |
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▪ Essays: |
5% |
|
▪ Quizzes & Homewrok: |
15% |
The student may distinguish him/herself in any one of the
above categories by doing extra work or work of a higher quality to
enhance their grade.
Your final letter grade will be based on the following tentative curve. This curve may be adjusted slightly at the end of the semester.
|
A |
Outstanding work |
C |
Passable |
|
B+ |
Very good |
D |
Poor work |
|
B |
Good |
F |
Poor |
|
C+ |
Satisfactory |
|
|
Drop Date: Please note that the University Drop Date March 26, 2013 deadline will be strictly enforced.
Further Assistance: For further questions, students should contact their Instructor. All Instructors have regular office hours during the week. These office hours are listed at the link above by clicking on the Instructor’s name. Teaching Assistants are also available in the math learning center.
Cellular Phones: All cellular phones and beepers must be switched off during all class times.
MATH DEPARTMENT CLASS POLICIES LINK
All DMS students must familiarize themselves with and adhere to the Department of Mathematical Sciences Course Policies, in addition to official university-wide policies. DMS takes these policies very seriously and enforces them strictly. For DMS Course Policies, please click here.
| M |
Dr. Martin Luther King, Jr. Day ~ University Closed |
|
| Su-Su |
Spring Recess ~ No Classes Scheduled ~ University Open |
|
| T |
Last Day to Withdraw from this course |
|
| F |
Good Friday ~ University Closed |
|
| T |
Classes follow a Friday Schedule, Last Day of Classes |
|
| W |
Reading Day |
|
| T-W |
Final Exams |
Course Outline:
|
Week 1 |
Projective Geometry – Construction 1 (PG-1)
Chapter 1: Triangle-circle and square circle designs
Chapter 2: Pythagorean Theorem
Star
patterns |
|
Week 2
|
PG
-2
Chapter 3: Scan converting of a line
Chapter 4: Compass and straightedge constructions – Part
1 |
|
Week 3 |
PG-3
Chapter 5: Congruent triangles and the triangle
inequality, Trigonometry |
|
Week 4
|
PG-4
Chapter 6: Proof
Chapter 7: Angles
|
|
Week 5
|
PG-5
Chapter 8: Vornoi domains
Chapter 9: Parallel lines
|
|
Week 6
|
PG-6
Chapter 10: Bracing a framework
Chapter 11: Similarity
|
|
Week 7
|
PG-7
Chapter 12: Compass and straightedge constructions (Part
2)
Chapter 13: Area
Essay 1 is due
|
|
Week 8
|
PG-8
Chapter 13: Vectors and geomboards
Review for Midterm
Midterm
|
|
Week 9
|
Chapter 14: Logarithmic spirals
Chapter 14: The golden mean
|
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Week 10
|
PG-9
Chapter 15: Isometries
Chapter 15: Isometries and mirrors |
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Week 11
|
PG-10
Chapter 15; – Isometries and mirrors continued
Chapter 16:
Kaleidoscopes and symmetry |
|
Week 12
|
PG-11
Chapter 17:
Group theory
Chapter 18: Frieze Patterns
Essay 2 is due |
|
Week 13
|
PG-12
Chapter 18:
Frieze patterns
Chapter 19: Fractals |
|
Week 14
|
PG-13
Chapter 19: Fractals |
|
Week 15
|
Review for final
Final exam |
Prepared By: Prof. Jay Kappraff
Last revised: January 17, 2013