Math 300, Section 101

Exams

The following applies to all exams in Math 300:
No aids of any kind: no calculators, no notes, no books.
No cell phones, no ipods, no electronic devices of any kind.

If you miss one of the midterm exams for medical reasons, you need to
promptly inform the instructor, and provide a physician's note
specifically stating that you were medically unfit to write the missed
exam on that day. No make-up exams will be given.
Midterm Exam I.   Wednesday, October 1.

The exam will cover Part I of the course.

You are responsible for all material from the textbook, Sections 1.1 -
1.7 (inclusive) and Sections 2.1 - 2.5 (inclusive). Exceptions: don't
memorize Formulas (1) and (4) from 1.7, which relate the coordinates
of a point on the sphere to the coordinates of its stereographic
projection. Skip the material on chordal distance. You will
not be tested on phase portraits.

Here is a list of practice problems. You will be expected to be able
to solve similar type problems on the midterm.

2.3.7, 2.3.11, 2.3.13, 2.3.15, 2.4.1, 2.4.3, 2.4.5, 2.4.8, 2.4.10,
2.5.1, 2.5.2, 2.5.3.

Solutions are at the same secret web location as homework solutions.

Here is a sample midterm with solutions. Problem 4 on this exam is not
on our syllabus for Midterm 1, so you would not be expected to be able
to solve it.

Here is the actual midterm with solutions.
Midterm Exam II.   Wednesday, November 5.

The exam will cover Part II of the course.

You responsible for all material from the textbook, Sections 3.1 - 3.5
(except 3.4), and Sections 4.1 - 4.5. Exponential function, Sine and
Cosine, and hyperbolic Sine and Cosine are covered, but you may ignore
tan, cot, sec, csc and their hyperbolic versions. The logarithm is of
central importance. Complex powers are very important, but you may
skip the inverse trig functions. Please note the following formula,
which I cannot find in the book, but it is so useful, you should
memorize it:



It expresses the fractional powers in terms of the argument, and helps
you find branches of power functions in terms of branches of the
argument. This formula is very useful when evaluating
integrals!

In 4.1, you may skip the formula for the length of a contour, in
Section 4.2 skip Theorem 5.

Remember: the main focus of this midterm is the evaluation of contour
integrals.

Here are a few practice problems:

4.2.7, 4.2.13, 4.3.1, 4.3.4, 4.4.1, 4.4.3, 4.4.11, 4.4.15, 4.5.1,
4.5.3, 4.5.4, 4.5.5, 4.5.6, 4.5.7.

Solutions are at the same secret web location as homework
solutions.

Here is the actual midterm with solutions.
Final Exam.   Thursday, December 11, 12:00-14:30, in Math 100.

The exam will be 150 minutes in length.

The exam will cover Parts I, II and III of the course equally. In
addition to the material mentioned above, the exam covers Section 4.6
(skip Theorem 20), 5.1 (skip uniform convergence), 5.2, 5.3 (skip
Theorems 8 and 9), 5.5, 5.6, 5.7, 6.1-6.3, and 6.7 (skip Theorems 4 and
5). From Section 7, you only need to know Theorem 2, Definition 1,
Theorem 5, and from Section 7.4 all material up to and excluding
Definition 2.

Here are a few practice problems for the material not covered by homework:

7.3.1., 7.3.2, 7.3.4, 7.3.5, 7.3.7, 7.3.12.

And a few more practice problems:

6.7.1, 6.7.3, 6.3.2, 6.3.3, 6.3.4, 6.3.5, 6.3.7, 6.2.4, 6.2.6, 6.2.8,
6.1.1, 6.1.3, 5.7.1, 5.6.3, 5.5.2, 5.5.5, 5.5.6, 5.5.9, 5.3.3, 5.2.1,
5.2.2, 5.2.5, 5.2.8, 5.1.7.

Solutions will be at the secret web location. If you do not know
the secret web location, email the instructor.

For practice exams, please purchase the exam package produced by the math club .
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