**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/ma493_2013.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 new course is the first of a sequence of two methods courses
to be offered for the first time in academic year 2013/14. The
purpose of the course is to give you the mathematical tools to study
scientific and engineering problems. In this first class, the primary
topics are: Dimensional Analysis and Scaling, in which mathematical
models are analyzed at a fundamental level before attempting explicit
or numerical solutions; Perturbation and Asymptotic Methods, which
reveal the structure of solutions without needing formulas for the
solutions themselves; Balance Laws, the basis for modeling with
equations; Discrete Processes (as opposed to continuous processes
modeled by differential equations), which are increasingly important in
applications. Each technique will be embedded in applications and
examples. 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

**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).