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MATH 715 Course Syllabus
- FALL 2012
Fall 2012 Course Syllabus:
Math 715
|
Course Title: |
Mathematical Fluid Dynamics
|
|
Textbook: |
Low Reynolds number
hydrodynamics John Happel and Howard
Brenner Vectors, Tensors, and the
Basic Equations of Fluid Mechanics Rutherford Aris |
|
Prerequisites: |
Math 222 or departmental approval
|
|
Website: |
web.njit.edu/~yyoung/M715_Fall2011.htm
|
| Lecture | Date | Topic | Assignments |
| 1 | 5-Sep | Reviews on Vector Calculus and Newtonian Physics | see course website |
| 2 | 7-Sep | Reviews on Variational Calculus and Newtonian Physics | |
| 3 | Sep 12 | Stress in Fluids | |
| 4 | Sep 14 | Derivation of Navier-Stokes and Stokes Equations | |
| 5 | 19-Sep | Some Simple Solutions to Navier-Stokes Equations and Stokes Equations | |
| 6 | 21-Sep | Some Simple Solutions to Navier-Stokes Equations and Stokes Equations | |
| 7 | 26-Sep | Motion of a Rigid Particle in Stokesian Flow | |
| 8 | 28-Sep | Motion of a Rigid Particle in Stokesian Flow | |
| 9 | 3-Oct | Interaction between Two Rigid Particles | |
| 10 | 5-Oct | Interaction between Two Rigid Particles | |
| 11 | 10-Oct | Interaction between Two Rigid Particles | |
| 12 | 12-Oct | Interaction between a Rigid Particle and a Solid Wall | |
| 13 | Oct 17 | Interaction between a Rigid Particle and a Solid Wall | |
| 14 | Oct 19 | Interaction between a Rigid Particle and a Solid Wall | |
| 15 | Oct 24 | Particulate Flow in a Channel | |
| 16 | Oct 26 | Particulate Flow in a Channel | |
| 17 | Oct 31 | Particulate Flow in a Channel | |
| 18 | Nov 2 | Midterm | |
| 19 | Nov 7 | Motion of a Soft Particle | |
| 20 | Nov 9 | Motion of a Soft Particle | |
| 21 | Nov 14 | Motion of a Soft Particle | |
| 22 | Nov 16 | Motion of a Soft Particle | |
| 23 | Nov 21 | Navier-Stokes Equations Revisited: Particulate Navier-Stokes | |
| 24 | Nov 23 | Navier-Stokes Equations Revisited: Particulate Navier-Stokes | |
| 25 | Nov 28 | Non-Newtonian Fluid Dynamics | |
| 26 | Nov 30 | Non-Newtonian Fluid Dynamics | |
| 27 | Dec 5 | Non-Newtonian Fluid Dynamics | |
| 28 | Dec 7 | Non-Newtonian Fluid Dynamics | |
| 29 | 12-Dec | Reviews on Particulate Fluid Dynamics |
|
IMPORTANT DATES |
|
|
FIRST DAY OF CLASS |
September 5, 2012 |
|
Exam I |
November 2, 2012 |
|
LAST DAY TO WITHDRAW |
November 7, 2012 |
|
LAST DAY OF CLASSES |
December 12, 2012 |
|
FINAL EXAM PERIOD |
December 14 - 20, 2012 |
Grading Policy
|
Assignment Weighting |
Tentative Grading Scale |
|
|
|
Homework |
50 % |
A |
90 -- 100 |
|
Midterm Exam
|
20 % |
B+ |
85-89 |
|
Final Exam |
30 % |
B |
80-84 |
|
|
|
C+ |
70-79 |
|
|
|
C |
60-69 |
|
|
|
D |
55-59 |
|
|
|
F |
54 and below |
Course Policies
(optional)
Homework Assignments: Several assignments
will be given during the semester. These assignments are challenging problems
that may require some research and a lot of creative problem-solving.
Important Departmental and University Policies
·
Academic
Integrity Code is Strictly Enforced
·
Prerequisites Requirements are Enforced
·
Attendance is Required in Lower-Division Courses
·
Exam
Policies (No Make Up Exams and More)
·
Cell
Phone and Pager Use Prohibited in Class
·
Drop Date
(November 12, 2012) is Strictly Observed
·
Complete
DMS Course Policies (math.njit.edu/students/undergraduate/policies_math)
Prepared by Prof. Yuan N. Young, July 30, 2012