Policies

DMS Course Policies: 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.

Grading Policy: The final grade in this course will be determined as follows:

Homework and Quizzes	10%
Project	20%
Midterm Ecam	30%
Final Exam	40%

Your final letter grade will be based on the following tentative curve.

A	88 - 100	C	62 - 67
B+	82 - 87	D	55 - 61
B	75 - 81	F	0 - 54
C+	68 - 74

Attendance Policy: Attendance at all classes will be recorded and is mandatory. Please make sure you read and fully understand the Math Department’s Attendance Policy. This policy will be strictly enforced. Students accumulating more than three absences will have their grade reduced.

Homework and Quiz Policy: Homework is due on the assigned date; late homework will reduce the number of points awarded, and will only be accepted at discretion of the instructor. Quizzes are given on an announced topic at times specified by the instructor.

Exams: There will be one midterm exam held in class during the semester and one comprehensive final exam. Exams are held on the following days:

Midterm Exam	November 1, 2017
Final Exam Period	December 15 - 21, 2017

The final exam will test your knowledge of all the course material taught in the entire course. Make sure you read and fully understand the Math Department's Examination Policy. This policy will be strictly enforced.

Makeup Exam Policy: There will be No make-up QUIZZES OR EXAMS during the semester. In the event an exam is not taken under rare circumstances where the student has a legitimate reason for missing the exam, the student should contact the Dean of Students office and present written verifiable proof of the reason for missing the exam, e.g., a doctor’s note, police report, court notice, etc. clearly stating the date AND time of the mitigating problem. The student must also notify the Math Department Office/Instructor that the exam will be missed.

Cellular Phones: All cellular phones and other electronic devices must be switched off during all class times.

Additional Resources

Math Tutoring Center: Located in the Central King Building, Lower Level, Rm. G11 (See: Fall 2017 Hours)

Further Assistance: For further questions, students should contact their instructor. All instructors have regular office hours during the week. These office hours are listed on the Math Department's webpage for Instructor Office Hours and Emails.

All students must familiarize themselves with and adhere to the Department of Mathematical Sciences Course Policies, in addition to official university-wide policies. The Department of Mathematical Sciences takes these policies very seriously and enforces them strictly.

Accommodation of Disabilities: Disability Support Services (DSS) offers long term and temporary accommodations for undergraduate, graduate and visiting students at NJIT.

If you are in need of accommodations due to a disability please contact Chantonette Lyles, Associate Director of Disability Support Services at 973-596-5417 or via email at lyles@njit.edu. The office is located in Fenster Hall Room 260. A Letter of Accommodation Eligibility from the Disability Support Services office authorizing your accommodations will be required.

For further information regarding self identification, the submission of medical documentation and additional support services provided please visit the Disability Support Services (DSS) website at:

• http://www5.njit.edu/studentsuccess/disability-support-services/

Important Dates (See: Fall 2017 Academic Calendar, Registrar)

Date	Day	Event
September 5, 2017	T	First Day of Classes
September 11, 2017	M	Last Day to Add/Drop Classes
November 6, 2017	M	Last Day to Withdraw
November 21, 2017	T	Thursday Classes Meet
November 22, 2017	W	Friday Classes Meet
November 23 - 26, 2017	R - Su	Thanksgiving Break - University Closed
December 13, 2017	W	Last Day of Classes
December 14, 2017	R	Reading Day
December 15 - 21, 2017	F - R	Final Exam Period

Course Outline

Date	Sections	Topic	Assignment
9/6	1.1 -1.3	1D Maps, Cobweb Maps, Stability of Fixed Points	Selected Probs.
9/8	1.4 -1.6	Periodic Points, Logistic Map	Selected Probs.
9/13	1.7,1.8	Sensitive Dependence and Itineraries	Selected Probs.
9/15	2.1	2D Map Models	Selected Probs.
9/20	2.2 – 2.4	Hyperbolic Fixed Points, Linear Maps, Coordinate Changes	Selected Probs.
9/22	2.5, 2.6	Jacobian, Stable and Unstable Manifolds	Selected Probs.
9/27	3.1,3.2	Lyapunov Exponents, Chaotic Orbits	Selected Probs.
9/29	3.3	Conjugacy and Logistic Map	Selected Probs.
10/4	3.4, 3.5	Transition Graphs, Basins of Attraction, Sharkovskii’s Theorem	Selected Probs.
10/6	Labs +	Chapters 1 , 2 and 3	Selected Probs.
10/11	4.1, 4.2	Cantor Sets, Probabilistic Construction of Fractals	Selected Probs.
10/13	4.3, 4.4	Deterministic Construction of Fractals, Mandelbrot and Julia Sets	Selected Probs.
10/18	4.5 – 4.7	Fractal Dimensions: Box-Counting and Correlation Dimensions	Selected Probs.
10/20	Labs +	Chapter 4	Selected Probs.
10/25	5.1, 5.2	2D Chaos: Lyapunov Exponents and Their Calculation
10/27	5.3	Lyapunov Dimension +  REVIEW for MIDTERM EXAM	Selected Probs.
11/1	-----------	MIDTERM EXAM	----------------------
11/3	5.4	Brouwer Fixed Point Theorem	Selected Probs.
11/8	5.5	Markov Partitions, Shift Map, Baker Map	Selected Probs.
11/10	5.6	Smale Horseshoe Map	Selected Probs.
11/15	5.6, Notes	Smale Horseshoe and Symbolic Dynamics	Selected Probs.
11/17	Labs +	Chapter 5	Selected Probs.
11/22	6.1, 6.2	Limit Sets and Chaotic Attractors	-------------------
11/29	6.2	Chaotic Attractors	Selected Probs.
12/1	7.1 – 7.3	Sytems of ODEs, Poincaré Maps (Sections)	Selected Probs.
12/6	7.4 – 7.7	Nonlinear Systems and Examples	Selected Probs.
12/8	8.1,9.1-9.3	Poincaré-Bendixson Theorem, Lorenz, Rössler, and Chua Attractors	Selected Probs.
12/13	---------	REVIEW FOR FINAL EXAM	------------------

Updated by Professor D. Blackmore - 9/1/2017
Department of Mathematical Sciences Course Syllabus, Fall 2017