Calculus 1B (001 LEC) Fall 2014
Instructor: Alexander Paulin.
Office: 796 Evans Hall.
Office hours : Monday, Wednesday and Friday 2-4pm. Tuesday and Thursday, 1pm-2pm.
Lectures: Mondays, Wednesdays and Fridays, 8am-9am.155 Dwinelle Hall. There will be no lectures on Septmenber 1 or November 28.
Discussion sections: Mondays, Wednesday and Fridays, at various
times (see below).
Enrollment: For question about enrollment contact Thomas Brown.
On the week of Thanksgiving the homework submission/quiz will be on Monday as opposed to Wednesday. I will therefore post the homework on monday the previous week.
I've posted my notes from the first lecture below. Just click on the link directly from the lecture schedule. I'll try to post my notes from each week on Friday evenings.
There will be no official homework due on September 3. However, as a warm up, I'm giving out a series of exercises (homework 0, I suppose) from the first half of the textbook, i.e. material covered in Calculus 1A. I strongly recommend you do these. It's easy to forget the basics after such a long break and it's a great way to get back in the swing of things.
Make sure to read the course policy and the
The textbook for this course is:
Stewart, Single Variable Calculus: Early Transcendentals for UC
Berkeley, 7th edition (ISBN: 978-0538498678, Cengage).
This is a custom edition containing chapters 1-9, 11 and 17 of Stewart's
"Calculus: Early Transcendentals", 7th edition. The regular edition is
also fine, it just contains extra chapters covered in math 53. The 6th edition is also acceptable, but you will need to
watch for differences in the numbering of assigned homework problems.
In chronological order, we'll cover the material in chapters 7, 8, 11, 9 and 17.
Grading and course policy
Weekly homework and quizzes 20%; two midterms 20% each; final exam 40%. The lowest
midterm can be dropped and replaced by the final exam grade. There will be
no make-up exams. This grading policy allows you to miss one midterm, but check
your schedule to make sure you have no conflict for the final exam.
Make sure to read the detailed course
policy for important information.
Homework assignments are due each Wednesday in section; they will be
posted here. The first homework will be due on September 10. For more detailed information see the course policy.
Homework 0 and Solutions 0
Homework 1 and Solutions 1
Homework 2 and Solutions 2
Homework 3 and Solutions 3
Homework 4 and Solutions 4
Homework 5 and Solutions 5
Homework 6 and Solutions 6
Homework 7 and Solutions 7
Homework 8 and Solutions 8
Homework 9 and Solutions 9
Homework 10 and Solutions 10
Homework 11 and Solutions 11
There will be two midterms, the first on Monday September 29 and the second on
Friday October 31, both from 8am to 9am in the usual lecture room.
The final exam will be on Monday December 15 (7-10pm).
Practice First Midterm: Good Solutions and Bad Solutions
Here is the first midterm, together with solutions. A rough breakdown of the letter grades for the first midterm is as follows:
|85-100|| A |
|65-84|| B |
|45-64|| C |
|35-44|| D |
The mean score was 71 and the median was 73. Keep in mind that these letter grades are estimates only - only the numbers are used to compute your final grade.
Practice Second Midterm and solutions.
Here is the second midterm, together with solutions.A rough breakdown of the letter grades for the second midterm is as follows:
|81-100|| A |
|61-80|| B |
|41-60|| C |
|30-40|| D |
The mean score was 64 and the median was 65. Keep in mind that these letter grades are estimates only - only the numbers are used to compute your final grade.
Practice Final Exam and solutions.
Here is a link to many past exams. Of these, the ones I recommend trying first are Ribet97, Sarason96 and Reshetikhin03. Remember though, when you look at these older exams the instructor may have focussed on different things and so they may be quite different from mine.
In Math 1A or elsewhere, you studied functions of a single variable,
limits, and continuity. You learned about derivatives, which
describe how functions change, and which can be used to help find
maxima and minima of functions. You also learned about integrals
which describe the aggregate behavior of a function over an interval,
such as the area under a curve or the average of a varying quantity.
The derivative and the integral are tied together in the
fundamental theorem of calculus, one version of which relates the
integral of the derivative of a function over an interval to the
values of the function at the endpoints of the interval.
In this course we will continue the study of calculus in three parts
The first part of the course is about techniques of integration
(sections 7.1 to 7.8 of the book). As you should already know,
differentiation is relatively straightforward: if you know the
derivatives of elementary functions, and rules such as the product
rule and the chain rule, then you can differentiate just about any
function you will ever come across. Integration, on the other hand,
is hard. Sometimes it is even impossible to integrate a given
function explicitly in terms of known functions. We will introduce a
collection of useful tricks with which you can integrate many
functions. The hard part is to figure out which trick(s) to use in a
given situation. For integrals which we cannot evaluate explicitly,
we will learn how to find good approximations to the answer.
- The second part of the course is about sequences and series
(chapter 11 of the book). This can be regarded as the general theory
of approximating things. This part of the course is subtle and
involves new ways of thinking. It may be a lot harder than the first
part, especially if you have seen some of the first part before.
- The third part of the course is an introduction to ordinary
differential equations (chapters 9 and 17 of the book). Here one
tries to understand a function, given an equation involving the
function and its derivatives. ("Ordinary" means that we consider
functions of a single variable. Functions of several variables enter
into "partial" differential equations, which you can learn about in a
more advanced course.) The theory of differential equations is
perhaps the most interesting part of calculus, is the subject of much
present-day research, and has many real-world applications. Our study
of differential equations will make use of most of the calculus we
have done so far.
Here is the lecture schedule for the course:
|101||MWF 9-10am||385 Leconte
|102||MWF 9-10am||122 Wheeler
|103||MWF 9-10am||200 Wheeler
|104||MWF 10-11am||210 Wheeler
|105||MWF 11-12pm||6 Evans
|106||MWF 11-12pm||30 Wheeler
|107||MWF 12-1pm||B51 Hildebrand
|108||MWF 12-1pm||6 Evans
|109||MWF 1-2pm||5 Evans
|110||MWF 2-3pm||75 Evans
|111||MWF 3-4pm||81 Evans
|112||MWF 4-5pm||179 Stanley
|113||MWF 4-5pm||55 Evans
|114||MWF 5-6pm||51 Evans
|115||MWF 1-3pm||230C Stephens
|116||MWF 2-3pm||61 Evans
|117||MWF 10-11am||5 Evans
The Student Learning
Center provides support for this class, including study groups,
review sessions for exams, and drop-in tutoring.