**Instructor**: Michael Shearer
**Office**: SAS 3228 **Phone**:
515-3298 ** Email:
**shearer@ncsu.edu

**Book**: Mark H. Holmes, Introduction to the Foundations of
Applied Mathematics. Springer, 2009

Available as an ebook from the NCSU library.

**Prerequisite**: Calculus, MA242 and ODEs, MA341,
or equivalent.

Webpage: http://www4.ncsu.edu/~shearer/ma451_2018.html

1. Weekly Homework Assignments (20% of final grade)

2. Two in-class exams (40%).

3. Final Exam: (40%)

**Basic Grading Scale**:
90%-100%: A, 80%-89%: B, etc. (+ and - will also be
used.)

**Course Summary. **
This course is the second of a sequence of two methods
courses. The purpose of the sequence is to give you the
mathematical tools to study scientific and engineering
problems. In this second class, the primary topics are: The
basic ideas in continuum mechanics, in the context of elastic
materials and fluid mechanics (parts of chapters 6-9 of the
text); introduction to calculus of variations, and a little
bit of control theory for ODEs. This Spring 2018 class does
not depend on the Fall 2017 class, Part I of Methods of
Applied Mathematics. Prerequisites for the class are Calculus,
MA242 and ODEs, MA341, or equivalent.

**Additional Policies**:

1. I encourage you to discuss homework with other students, or
with me during office hours. You should be aware that the
homework is intended for you to learn from the course; working
on homework at least in part on your own will help you master
the material, keep up with the course and prepare for tests.
Homework will be graded on a scale of 1-10. Points will be
awarded for amount of homework attempted; selected problems
will be graded in detail.

2. I expect you to read sections of the book around the time
of lectures and homework from those sections. The book has
additional examples and discussion that you will find helpful.
Some test questions may resemble examples from the book.

3. You are expected to attend all classes on time. Classroom
discussion and questions in class help clarify issues in this
course, so please feel free to participate by asking
questions.

4. Arriving late for a class or leaving early is very
disruptive of class. If you need to leave early, please let me
know at the beginning of class, and sit near the door so you
can slip out quietly.

5. If you are unavoidably absent from a test, a score for that
test will be assessed at the end of the semester, based on
your performance in homework, the other tests, and on the
final, with an emphasis on the material of the missed
test. Attendance regulations can be found at http://policies.ncsu.edu/regulation/reg-02-20-03

6. Laptops and tablets: If you have a laptop computer with you
during the lecture period, it must remain closed. Students
with a compelling reason for an exception to this rule should
contact the instructor. If you wish to use a tablet to take
notes during the lectures, please let the instructor know.

**Academic
Integrity
Statement**: Students are expected to follow university
policies on academic integrity and the Honor Pledge,
which may be viewed by following the links at: http://policies.ncsu.edu/policy/pol-11-35-01

**Further Statements**:

Reasonable accommodations will
be made for students with verifiable disabilities. In order
to take advantage of available accommodations, students must
register with Disability Services for Students at 1900 Student
Health Center, Campus Box 7509, 515-7653. For more
information on NC State's policy on working with students with
disabilities, please see the Academic
Accommodations for Students with Disabilities Regulation
(REG02.20.1).