Chapter 2
Areas
2.1
Areas in the plane
A long-standing problem of integral calculus is how to compute the area of a region in
the plane. This type of geometric problem formed part of the original motivation for the
development of calculus techniques, and

Chapter 1
Areas, volumes and
simple sums
1.1
Introduction
This introductory chapter has several aims. First, we concentrate here a number of basic
formulae for areas and volumes that are used later in developing the notions of integral
calculus. Among the

April 2005
Mathematics 103
Name
Page 2 of 10 pages
Marks
1.
Multiple Choice Questions: Select ONE correct answer (a, b, c, d, or e) for each question and
write it in the table at the b ottom of the page. You will not b e graded for any work or answers
out

Full Name:
Student Number:
Signature:
Section:
Math 103 Final Exam
April 2006
2.5 hours.
No calculators, books, notes, or electronic devices of any kind are permitted.
Unless otherwise indicated, show all your work. Answers not supported by calculations

This examination has 7 pages of questions excluding this cover
The University of British Columbia
Midterm 2 - March 11, 2015
Mathematics 103: Integral Calculus with Applications to Life Sciences
201 (Doebeli), 202 (Kim), 203 (Hauert), 206 (Sibilla), 207 (

Chapter 6
Techniques of
Integration
In this chapter, we expand our repertoire for antiderivatives beyond the elementary functions discussed so far. A review of the table of elementary antiderivatives (found in Chapter 3) will be useful. Here we will discu

Chapter 8
Continuous probability
distributions
8.1
Introduction
We begin by extending the idea of a discrete random variable28 to the continuous case.
We call x a continuous random variable in a x b if x can take on any value in this
interval. An example

Chapter 1
Areas, volumes and
simple sums
1.1
Introduction
This introductory chapter has several aims. First, we concentrate here a number of basic
formulae for areas and volumes that are used later in developing the notions of integral
calculus. Among the