The main purpose of this course is to give you the
essential tools in order to begin studying Calculus, and in particular
Calculus at William & Mary. We will begin with some topics in Geometry,
including the key concepts involving angles, triangles, circles, areas, and
volumes. We will then move on to Algebra, beginning with lines and
quadratics, including factoring and solving inequalities, and then move on
to factoring polynomials in general. From there, we will move on to powers,
exponentials, and logarithms. These topics will form the first half of the
course, and the midterm will come right around when we finish these topics.
For the second half, we will focus on trigonometry, and then graphing
functions in general. If there is any time left, we might introduce the
concept of a limit, which is exactly where Calculus starts.
|Meeting Dates & Time:||Sept 21 - Dec 4, MW 3:30 - 5:20 PM
|Location: ||Jones 301|
Office: Jones 130
Office Hours: MW 11-12, Th 10-11 and 1-4:30 (also by appt).
|Materials:|| The only material you need to obtain for this class is
the book Transitioning to Calculus, by Lawrence Leemis. This should be
available at Amazon or other stores online.
| Grade |
| Class Participation - 20%, Homework/Quizzes
- 30%, Midterm - 25%, Final - 25% (See below for more precise information
on HW, Quizzes, Midterm, and Final). |
The letter grade scheme will be based
on the standard 10 percentage point scale, so that a final score of 93 or
higher is an A, 90-92 is an A-, 87-89 is a B+, 83-86 is a B, 80-82 is a B-,
77-79 is a C+, 73-76 is a C, 70-72 is a C-, 67-69 is a D+, 63-66 is a D,
60-62 is a D-, and below 60 is an F.
|Attendance & Lecture Policy:
|| As stated above, 20% of your grade will be
based on participation. Less than half of each meeting time will be
devoted to lecture, while more than half will be devoted to working
problems (from homework). This might involve discussion with others,
working problems on the board, getting individual input from me, or
working individually on the problems in the classroom. So, attendance
will be essential.
Please keep all cell phones/hand-held devices/tablets/laptops put away
during class time.
||Calculators will NOT
be needed for this class. The focus of the course will be conceptual rather
than computational. In particular, calculators will not be allowed on the
final exam, the midterm, the quizzes, or the homework.|
|Prerequisites: || There is no official prerequisite. I will expect
mathematical background to vary among students.
Dates & Course Announcements:
Midterm and Final Exams:
There will be one midterm, which will take place during one lecture period
(details will be determined later). The final exam
will be timed. The midterm and the final will each count as 25% of your final
grade. The final exam will be on Wed, Dec 9, from 9 AM until 12 Noon.
Exam Calendar (Tentative):
||Wed, Oct 28
||Wed, Dec 9
||9 AM - 12 Noon
- All relevant announcements will be listed here. Check back frequently (don't forget
to refresh your browser) for updates.
- Important Dates and Class Holidays:
- Fri, Sep 4: FIRST ADD/DROP DEADLINE (for those registering at the
beginning of the semester).
- Thurs, Oct 1: SECOND ADD/DROP DEADLINE (for those dropping a Calculus
class to enroll in MATH 103).
- Sat, Oct 10 - Tues, Oct 13: NO CLASS (Fall Break)
- Wed, Oct 28 - Midterm (during class)
- Wed, Nov 4: WITHDRAW DEADLINE
- Wed, Nov 25 - Sun, Nov 29: NO CLASS (Thanksgiving Break)
- Mon, Dec 9, 9:00 AM - 12 Noon - FINAL EXAM
- (9/21) My office hours this week, and likely on a weekly basis, are: MW
11-12, Th 10-11 and 1-4:30.
- (9/28) Quiz 1 will be on Monday, Oct 5, at the beginning of class. It will
cover the geometry topics from the first week of class, and the material on
lines and factoring quadratics from class on Mon, Sept 28.
- (10/5) Corrected solutions to HW1B, Problem 5, have been posted. HW 2
solutions and Quiz 1 solutions will be posted immediately after class today.
HW 3 is now posted, please print it and bring it to class on Monday if you
- (10/8) Please note that HW3 is due on Wed, Oct 14, the Wednesday after Fall Break.
- (10/8) Quiz 2 will be on Mon, Oct 19, and will cover the material from HW2B
and HW3A,B (that is, the material from Sept 30, Oct 5, and Oct 7).
- (10/14) My morning office hours on Thurs, Oct 15, will be shifted to
9:30-10:30 AM (instead of 10-11 AM). My afternoon office hours will be the
same (1-4:30 PM).
- (10/22) I fixed the typo on HW4C and posted the new version below. The
error was in Problem 7, where I have changed the +5 to a -5.
- (10/22) I will post the solutions to HW4C tomorrow (Fri, Oct 23). Also
tomorrow, I will post a list of review problems for the midterm. I will
email everyone when those are posted. Work on the review problems before
class on Monday (Oct 26), and the whole class period that day will be for
questions and to go over any problems anyone wants to see.
- (11/9) Quiz 3 will be on this Wed, Nov 11, and will cover the material
from HW5A,B (the material on functions and graphs covered on Nov 2 and Nov 4
- (11/9) You may turn in corrections to your Midterm exam to replace a low
HW or quiz score. These corrections should be turned in on or before Monday,
Nov 30 (the Monday after Thanksgiving break) to receive this credit.
- (11/18) Quiz 4 (the last quiz) will be on Mon, Nov 23. It will cover the
trigonometry material from HW6A,B.
- (11/19) I fixed two "typos" on the solutions to HW6A,B: One on problem A6
(the 3pi/4 should have been a 5pi/4 as pictured), and the other on problem
B2(b) (denominator should have been sin^4(x)).
- (12/2) I have updated a few of the Khan academy links (some of the web
addresses changed since I first posted them), and I have posted Khan academy
links for the last couple of topics that we covered.
- (12/2) I have posted review problems for the final exam. I will post
solutions, at the latest, on Mon, Dec 7.
- (12/2) I fixed the typo on the Final Review problems on Problem 1(e).
- (12/3) It has been confirmed that our final exam will be in the same room
as our lectures, in Jones 301.
- (12/3) My office hours before the final exam (other than my usual Thurs
office hours today) are:
Mon, Dec 7: 10-2 and 3-5
Tues, Dec 8: 10-2 and 3-5:30
- (12/3) I fixed one more minor error on the Final Review problems: On
Problem 11 you need to know that the function g actually has an inverse, so I
have put that in. I will post the solutions to the Review problems on
- (12/8) I fixed a minor error in the Final Review Solutions: The A in
front of cos(2yb) should have been -A in the solutions.
Homework & Quizzes:
There will be Homework assignments each week of class, which will typically be
due on the following Monday in class. The goal will be to have more than half
of each meeting time dedicated to working through problems, consisting mostly
of the homework problems for that week. This will allow you to have more time
outside of class to work through the problems in more detail and work through
I will post Homework assignments on this homepage each week. Be sure to print
them out before each Monday class so that you have them to work on during the
class meetings. When working through problems in class, you should be writing
"rough draft" solutions to the problems and make sure you understand the main
idea and method behind the problems. Outside of class, you should re-write the
solutions neatly to turn in. Going through problems twice in two different
levels of detail is hugely important in absorbing the material in a meaningful way.
Homework will typically be due on each Monday (except for weeks when there is
no class on Monday). Homework will be due at the beginning of class, and if
you are a few minutes late still please turn in the homework at the front of
the room when you walk in. If homework is turned in the day it is due but
after the start of class, there is a 10% penalty. If it is turned in one day
late by 5 PM on my door, there is a 20% penalty, and 40% for two days late, and
20% more off each day late thereafter. However, even if you have a homework
that is too late to count as points, it is still important to turn it in for
part of your homework completion and participation score.
The plan is to have 4 timed quizzes throughout the semester: 2 before the
midterm, and 2 between the midterm and final. These will be at the beginning of class,
announced the week before the quiz, and will be 20 minutes in length. Each quiz will
count the same as a single homework score. Quiz solutions will be posted on
this homepage after the quiz.
For individual homework assignments, the score will be based on both
correctness of solutions, as well as completeness/neatness. For example, on a 20
problem assignment, I would
much rather see 15 neat and correct solutions, with 2 rough attempts at
solutions, instead of 20 messy partial solutions. We will go over in class
what is expected in terms of a complete and neat solution. For your total HW and Quiz score, each assignment and quiz has equal weight,
and the lowest score of all of these will be dropped. The total score
will count as 30% of the course grade.
Here is the example I handed out in class of some notes you might take on a
problem versus the solution you might turn in when the homework is
due: Example Problem (pdf).
Homework Assignments and Solutions:
|1|| HW 1A - pdf, HW 1B
Solutions: HW 1A, HW 1B.
|Mon, Sept 28
|2|| HW 2(A,B) - pdf
Solutions: HW 2A,B.
|Mon, Oct 5
|3|| HW 3(A,B) - pdf
Solutions: HW 3A,B.
|Wed, Oct 14
|4|| HW 4A - pdf, HW 4B
Solutions: HW 4A,B.
|Wed, Oct 21
| || HW 4C - pdf
Solutions: HW 4C.
| || Midterm Review Problems
|5|| HW 5(A,B) - pdf
Solutions: HW 5A,B.
|Mon, Nov 9
|6|| HW 6(A,B) - pdf
Solutions: HW 6A,B.
|Mon, Nov 16
|7|| HW 7(A,B) - pdf
Solutions: HW 7A,B.
|Mon, Nov 23
|8|| HW 8A - pdf, HW 8B - pdf
Solutions: HW 8A, HW 8B.
| || Final Exam Review Problems
For each of the 4 quizzes this semester, you can get half of the points back
lost on your first score by creating your own replacement problems and solving
them. You can only get points back if you follow the
following guidelines (pdf).
I will list the Quiz solutions here throughout the semester:
Quiz 1 solutions.
Quiz 2 solutions.
Quiz 3 solutions.
Quiz 4 solutions.
- Apart from my office hours, there is also a free Calculus tutoring room by graduate
assistants on Sunday through Thursday evenings from 5:00 PM until 8:00 PM, in
Jones 112. This is available to Precalculus students as well. This is a
great place to get free extra help, and I
highly encourage all students to take advantage of this service.
- The Khan Academy is a fantastic free web resource. You should use it
for the topics we cover. I will post links to the relevant materials here as
we go through the course.
and Radical Expressions
Functions and Graphs
More Functions (including compositions and inverses)
Trig (including unit circle and inverse trig functions)
- There are several decent free Precalculus books available online. The
problem I have with most of them is that they contain too much information,
and present the information in an order that is less intuitive than I
prefer. Given that, the following three free books are reasonable, and at the
very least have some useful exercises. They are in the order in which I
by C. Stitz and J. Zeager
by R. Larson and R. Hostetler
by D.H. Collingwood, K.D Prince, and M.M. Conroy
- Feedback: I realize that it is difficult to match the classroom
environment with every student's learning style simultaneously. If you have
suggestions on how to improve the class, and would like to submit them
anonymously, please fill out the following Word document, print it out, and
put it on my office door box: Feedback form
I always welcome and appreciate feedback, and if you do not want to submit it anonymously,
you may always email me your ideas or discuss them with me during office hours.