PROBLEM-SOLVING MASTERCLASS WEEK 3
1. A Dyck n-path is a lattice path of n upsteps (1, 1) and n downsteps (1, 1) that starts at
the origin O and never dips below the x-axis. A return is a maximal sequence of contiguous downsteps that terminates on the x-a
Review guide for the nal exam in
Math 233
1
Basic material.
This review includes the remainder of the material for math 233. The nal
exam will be a cumulative exam with many of the problems coming from the
material covered beginning approximately with cha
Practice problems from old exams for
math 233
William H. Meeks III
October 26, 2012
Disclaimer: Your instructor covers far more materials that we can possibly t into a four/ve questions exams. These practice tests are meant to give
you an idea of the kind
Practice problems from old exams for
math 233
William H. Meeks III
October 26, 2012
Disclaimer: Your instructor covers far more materials that we can possibly t into a four/ve questions exams. These practice tests are meant to give
you an idea of the kind
Practice problems from old exams for
math 233
William H. Meeks III
October 26, 2012
Disclaimer: Your instructor covers far more materials that we can possibly t into a four/ve questions exams. These practice tests are meant to give
you an idea of the kind
Review guide for midterm 2 in Math
233
Midterm 2 covers material that begins approximately with the denition of
partial derivatives in Chapter 14.3 and ends approximately with methods for
calculating the double integral of a function f (x, y) over a domai
Solutions to old Exam 1 problems
Hi students!
I am putting this old version of my review for the rst midterm
review, place and time to be announced. Check for updates on
the web site as to which sections of the book will actually be
covered. Enjoy!
Best,
Solutions to old Exam 2 problems
Hi students!
I am putting this old version of my review for the second
midterm review, place and time to be announced. Check for
updates on the web site as to which sections of the book will
actually be covered. Enjoy!
Bes
Study guide for Exam 1.
by William H. Meeks III October 26,
2012
1
Basics.
First we cover the basic denitions and then we go over related problems. Note
that the material for the actual midterm may include material from the review
guide for midterm 2. Bef