Links:
common course webpage.
Some
remarks about midterm 1 answers.
Announcements: Midterm 1 is on Tuesday October 20 at 7:00pm - 7:50pm in Center Hall room 115. Calculators are allowed and one 2-sided 8.5in x 11in handwritten page of notes is allowed. Midterm covers sections 1.1 - 1.8.
There are some issues with the grading of Quiz 1 which are causing a
delay in the returning of the quizzes. You will updated about this.
First question for Quiz 1 is (abridged):
1. A town has a population of 3000 people at time t=0.
(a) Write
a formula for P(t) if the population increases by 25 people each year.
(b) Write
a formula for P(t) if the population increases by 7% each year.
Answers to #1 of Quiz 1 are:
(a) P(t) = 3000 + 25t
(b) P(t) = 3000 * (1.07)^t.
If one assumes *continuous* growth, then the answer would be
P(t) = 3000 * e^{.07t}
*Only* for this quiz, we will accept the second answer too (since it
may not have been made clear in both lecture or discussion the distinction).
Later (including the midterm!), one should follow the rule that if a population increases by r percent per time period, then P(t) = P(0) * (1 + (r/100))^t, where t is the time measured in units of the time period (such as years, months, days, etc.).
On the other hand, if say a bank account earns interest at
a *continuous* rate of r percent, then the amount is
A(t) = A(0) * e^{rt/100}. [In other words, continuous compounding.]
If the bank account earns interest at a (say annual) rate of
r percent (compounded annually), then the formula is
A(t) = A(0) * (1 + (r/100))^t.
Quiz and midterm information are contained in the common course web page (for example which sections are covered is on the homework page).
Math 10A is a coordinated course. All lectures will have common exams.
For general information, homework, syllabus, exam dates etc you should
visit the
common course webpage.
Text: The textbook for 10A is Calculus: Single and Multivariable
(5th edition) by
Hughes-Hallett et al; published by John Wiley & Sons. The single variable
edition suffices for Math 10A and 10B, and the multvariable edition is
appropriate for you if you will be taking Math 10A, 10B, and 10C.
Instructor: Ben Chow.
Email address: benchow@math.ucsd.edu
Lectures: PCYNH 106, MWF 12-12:50pm.
Office hours: AP&M 7438, MWF 11am or email or see me after class
to make appointment.
Teaching Assistants:
Matthew Gill (mfgill@math.ucsd.edu). Office hours: Mon 2-3pm in Calc Lab; Tues
2-3pm and Wed 3-4pm in AP&M 6442
Jessica Kenigson
(jkenigso@math.ucsd.edu). Office hours: Wed 2-3pm in AP&M 5412
Sections: