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MATH 371 Course Syllabus
- FALL 2012
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 371: Introduction to Biomathematics: Physiology and Medicine
Number of Credits: 3
Course Description: Mathematical models of organs and organ systems: the heart and circulation, gas exchange in the lungs, electrical properties of excitable membranes, neuro-biological clocks, the renal countercurrent mechanism, muscle mechanics. The biology is introduced with each topic. Emphasis is on quantitative problem solving, model building, and numerical simulation. Effective From: Spring 2009
Prerequisites: Math 222 with a grade of C or better.
Textbook: Modeling and Simulation in Medicine and the Life Sciences (2nd Ed.) by F.C. Hoppensteadt and C.S. Peskin, Springer-Verlag, 2001.
Reference Books:
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Mathematical Physiology, by J. Keener and J. Sneyd, Interdisciplinary Applied Mathematics, Springer-Verlag, 1998.
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Mathematical Models in Biology by L. Edelstein-Keshet, SIAM Classics in Applied Mathematics 46, SIAM, 2004.
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Mathematics Applied to Deterministic Problems in the Natural Sciences by C.C. Lin and L.A. Segel, SIAM Classics in Applied Mathematics 1, SIAM, 1988.
Instructor: (for specific course-related information, follow the link below)
|
Math 371-001 |
Grading Policy: The final grade in this course will be determined as follows:
|
▪ Homework: |
25% |
|
▪ Midterm Exam: |
35% |
|
▪ Final Exam: |
40% |
Drop Date: Please note that the University Drop Date November 6, 2012 deadline will be strictly enforced.
Homework Policies:
-
A number of homework assignments will be given out during the semester.
-
Assignments will be due one week after they are given out and will be collected at the beginning of the class.
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Late homework will not be accepted.
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Only hard copies of the assignments will be accepted (NO electronic submissions).
Attendance & Participation: Students must attend all classes. Absences from class will inhibit your ability to fully participate in class discussions and problem solving sessions and, therefore, affect your grade. Tardiness to class is very disruptive to the Instructor and students and will not be tolerated.
Makeup Exam Policy: There will be No make-up EXAMS during the semester. In the event the Final Exam is not taken, under rare circumstances where the student has a legitimate reason for missing the final exam, a makeup exam will be administered by the math department. In any case the student must notify the Math Department Office and the Instructor that the exam will be missed and present written verifiable proof of the reason for missing the exam, e.g., a doctors note, police report, court notice, etc., clearly stating the date AND time of the mitigating problem.
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.
Electronic Devices: All electronic devices (e.g., cellular phones, i-pods, calculators, computers, etc.) must be switched off during all class and exam 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 |
Labor Day ~ No classes |
|
| T |
Last Day to Withdraw from this course |
|
| T |
Classes follow a Thursday Schedule |
|
| W |
Classes follow a Friday Schedule |
|
| R-Su |
Thanksgiving Recess |
|
| R |
Reading Day |
|
| F- R |
Final Exams |
Course Outline:
|
Week |
Topic |
| 1 |
Introduction to Mathematical
Models |
| 2 |
Background Information |
| 3 |
Heart and Circulation I |
| 4 |
Heart and Circulation II |
| 5 |
Heart and Circulation III |
| 6 |
Control of Cell Volume I |
| 7 |
Control of Cell Volume II |
| 8 |
Electrical Properties of Cell
Membranes I |
|
Midterm |
|
| 9 |
Electrical Properties of Cell
Membranes II |
| 10 |
Electrical Properties of Cell Membranes III |
| 11 |
Electrical Properties of Cell Membranes IV |
| 12 |
Population Dynamics I |
| 13 |
Population Dynamics II |
| 14 |
Population Dynamics III |
| 15 |
Population Dynamics IV |
|
Review |
Prepared By: Prof. Robert Miura
Last revised: August 22, 2012