Math 9C, First Year Calculus
MWF 3:10-4 pm, Sproul
1102
Dr. Julie Bergner
Friday, September 25: Sequences
Before
Monday: Read section 12.1 of Stewart.
To
turn in Monday: one sheet of paper containing:
-
A solution to the problem
given at the end of today’s class
-
Notes you take on the
section
-
Answers to the two parts of
#2 from section 12.1
-
A question that you have
after doing the reading
WebAssign:
Homework 1 (due Wednesday, September 30 before midnight)
Answers to some common questions
from this reading assignment
Monday, September 28: More on sequences
Before
Wednesday: Look over section 12.1 again, especially material we haven’t covered
yet
To
turn in Wednesday: one sheet of paper containing:
-
A solution to the problem
given at the end of today’s class
-
Any notes you might have on
the reading
-
A list of different
techniques from the section on how to determine whether a sequence is
convergent or not
-
A question that you have
WebAssign:
Homework 2 (due Wednesday, September 30 before midnight)
Answers to this in-class problem
and reading assignment
Wednesday, September 30: Still more on
sequences
Before
Friday: Read section 12.2.
To
turn in on Friday: one sheet of paper containing:
-
A solution to the problem
given at the end of today’s class
-
Any notes you take on the
section
-
Answer to #1 from section
12.2
-
A question that you have
WebAssign:
Homework 3 (due Wednesday, October 7 before midnight)
Answers to some common questions
from this reading assignment
Friday, October 2: Series and
convergence of geometric series
Before
Friday: Read the beginning of section 12.3 (up to “Estimating the sum of a
series”), and section 8.8 if you need to review (or learn!) improper integrals.
To
turn in on Monday: one sheet of paper containing:
-
A solution to the problem
given at the end of today’s class
-
Any notes you take on the
section
-
Answer to the question:
What is the main idea of the integral test?
-
A question that you have
WebAssign:
Homework 4 (due Wednesday, October 7 before midnight)
Answers to some common questions
from this reading assignment
Monday, October 5: More series and the
integral test
Before
Wednesday: Read the rest of section 12.3 and all of section 12.4.
To
turn in Wednesday: One sheet of paper containing:
-
A solution to the problem
given in class
-
Any notes you take on the
reading
-
Answers to #1 and 2 in
section 12.4
-
A question that you have
WebAssign:
Homework 5 (due Wednesday, October 7 before midnight)
Answers to common questions from
this assignment
Wednesday, October 7: More on the
integral test and remainder estimates
Before
Friday: Read section 12.5
To
turn in Friday: One sheet of paper containing:
-
A solution to the problem
given in class
-
Any notes you take on the
reading
-
Answer to question #1 in
section 12.5
-
A question that you have
WebAssign: Homework
6 (due Wednesday, October 14 before midnight)
Answers to common questions from
this assignment
Friday, October 9: Comparison test,
limit comparison test, and alternating series
Before
Monday: Read section 12.6
To
turn in Monday: One sheet of paper containing:
-
A solution to the problem
given in class
-
Any notes you take on the
reading
-
Answer to the following
question: What is the difference between absolutely convergent and
conditionally convergent?
-
A question that you have
WebAssign:
Homework 7 (due Wednesday, October 14 before midnight)
Answers to common questions from
this assignment
Monday, October 12: Absolute
convergence and the ratio and root tests
Homework:
Study for Wednesday’s exam!
Practice
exams are available on iLearn, and looking at section
12.7 is also recommended.
WebAssign: Homework 8 (due Wednesday, October 14 before
midnight)
(Notice
that the WebAssign assignments are still due at
midnight – but it is recommended to do them before the exam!)
No
homework due on Friday.
Wednesday, October 14: Exam #1
Friday, October 16: Power series
Before
Monday: Read section 12.8
To
turn in Monday: One sheet of paper containing:
-
A solution to the problem
given in class
-
Any notes you take on the
reading
-
Answer to question #2 in section 12.8
-
A question that you have
WebAssign:
Homework 9 (due Wednesday, October 21 before midnight)
Answers to common questions from
this assignment
Monday, October 19: Representations of
power series
Before
Wednesday: Read section 12.9
To
turn in Wednesday: One sheet of paper containing:
-
A solution to the problem
given in class
-
Any notes you take on the
reading
-
Answer to the following
question: Why do we represent functions as power series?
-
A question that you have
WebAssign:
Homework 10 (due Wednesday, October 21 before midnight)
Answers to common questions from
this assignment
Wednesday, October 21: More on representations
of power series
Before
Friday: Read first part of section 12.10
To
turn in Friday: One sheet of paper containing:
-
A solution to the problem
given in class
-
Any notes you take on the
reading
-
Answer to question #1 in
section 12.10
-
A question that you have
WebAssign:
Homework 11 (due Wednesday, October 28 before midnight)
Answers to common questions from
this assignment
Friday, October 23: Taylor and Maclaurin series
Before
Monday: Finish reading section 12.10
To
turn in Monday: One sheet of paper containing:
-
A solution to the problem
given in class
-
Any notes you take on the
reading
-
Answer to the following
question: What are Taylor series good for?
-
A question that you have
WebAssign:
Homework 12 (due Wednesday, October 28 before midnight)
Answers to common questions from
this assignment
Monday, October 26: Binomial series and
using Taylor series for integration
Before
Wednesday: Read section 12.11, up through “Applications to physics”
To
turn in Wednesday: One sheet of paper containing:
-
A solution to the problem
given in class
-
Any notes you take on the
reading
-
Answer to the following
question: How are Taylor series used in applications?
-
A question that you have
WebAssign:
Homework 13 (due Wednesday, October 28 before midnight)
Answers to common questions from
this assignment
Wednesday, October 28: Multiplication
and division of Taylor series, and applications of Taylor polynomials
Before
Friday: Read the rest of section 12.11
To
turn in Friday: One sheet of paper containing:
-
A solution to the problem
given in class
-
Any notes you take on the
reading
-
Answer to the following
question: How are Taylor polynomials used in physics?
-
A question that you have
WebAssign:
Homework 14 (due Wednesday, November 4 before midnight)
Answers to common questions from
this assignment
Friday, October 30: Applications of
Taylor polynomials to physics
Before
Monday: Read section 9.1
To
turn in Monday: One sheet of paper containing:
-
A solution to the problem
given in class
-
Any notes you take on the
reading
-
Answer to the following
question: What is the idea behind using integrals to compute arc length?
-
A question that you have
WebAssign:
Homework 15 (due Wednesday, November 4 before midnight)
Monday, November 2: Arc length
Before
Wednesday: Look at the last part of 9.1 again: arc length function
To
turn in Wednesday: One sheet of paper containing:
-
A solution to the problem
given in class
-
Any notes you take on the
reading
-
Answer to the following
question: What is the purpose of finding an arc length function?
-
A question that you have
WebAssign:
Homework 16 (due Wednesday, November 4 before midnight)
Answers to common questions from
this assignment
Wednesday, November 4: Arc length
functions
Before
Friday: Read section 9.2
To
turn in Friday: One sheet of paper containing:
-
A solution to the problem
given in class
-
Any notes you take on the
reading
-
Answer to the following
question: What is the difference between what is going on in this section and
what is going on in sections 6.2 and 6.3?
-
A question that you have
WebAssign:
Homework 17 (due Thursday, November 12 before midnight)
Answers to common questions from
this assignment
Friday, November 6: Surface area
To
turn in Monday: One sheet of paper containing:
-
A solution to the problem
given in class
-
A question that you have on
the material for Friday’s exam (sections 12.8-12.11 and 9.1-9.2)
WebAssign:
Homework 18 (due Thursday, November 12 before midnight)
Answers to common questions on
this assignment
Monday, November 9: Surface area,
continued, and review
WebAssign: Homework 19 (due Thursday, November 12 before
midnight)
Wednesday, November 11: Veteran’s Day
Holiday
Friday, November 13: Exam #2
Before
Monday: Read section 10.1
To
turn in Monday: One sheet of paper containing:
-
Any notes you take on the
reading
-
Answer to the following
question: What is a differential
equation, and what are they good for?
-
A question that you have
Monday, November 16: Differential
equations
Before
Wednesday: Read section 10.2
To
turn in Wednesday: One sheet of paper containing:
-
A solution to the problem
given in class
-
Any notes you take on the
reading
-
Answer to the following
question: What is the purpose of the methods given in this section?
-
A question that you have
WebAssign:
Homework 20 (due Wednesday, November 18 before midnight)
Answers to commonly asked
questions on this assignment
Wednesday, November 18: Direction
fields and Euler’s method
Before
Friday: Read section 10.3
To
turn in Friday: One sheet of paper containing:
-
A solution to the problem
given in class
-
Any notes you take on the
reading
-
Answer to the following
question: What makes separable differential equations so nice to solve?
-
A question that you have
WebAssign:
Homework 21 (due Wednesday, November 25 before midnight)
Answers to commonly asked
questions on this assignment
Friday, November 20: Separable
equations
Before
Monday: Re-read end of section 10.3 on mixing problems
To
turn in Monday: One sheet of paper containing:
-
A solution to the problem
given in class
-
Any notes you take on the
reading
-
Answer to the following
question: Why do differential equations arise in mixing problems? (Hint: There
is no direct answer in the book for you to copy!)
-
A question that you have
WebAssign: Homework
22 (due Wednesday, November 25 before midnight)
Questions to commonly asked
questions on this assignment
Monday, November 23: Mixing problems
Before
Wednesday: Read the first part of section 10.4 (up to “Comparison of the
natural growth and logistic models”)
To
turn in Wednesday: One sheet of paper containing:
-
A solution to the problem
given in class
-
Any notes you take on the
reading
-
Answer to the following
question: Why do we need different models for population growth?
-
A question that you have
WebAssign:
Homework 23 (due Wednesday, November 25 before midnight)
Answers to commonly asked
questions on this assignment
Wednesday, November 25: Models for
population growth
Before
Monday: Read the rest of section 10.4
To
turn in Monday: One sheet of paper containing:
-
A solution to the problem
given in class
-
Any notes you take on the
reading
-
Answer to the following
question: How to data tables and models for population growth relate to one another?
-
A question that you have
WebAssign:
Homework 24 (due Wednesday, December 2 before midnight)
Answers to commonly asked
questions on this assignment
Friday, November 27: Thanksgiving
Holiday
Monday, November 30: Comparing models
for population growth
Before
Wednesday: Read section 10.5
To
turn in Wednesday: One sheet of paper containing:
-
A solution to the problem
given in class
-
Any notes you take on the
reading
-
Answer to the following
question: What is the difference between separable and linear differential
equations?
-
A question that you have
WebAssign:
Homework 25 (due Wednesday, December 2 before midnight)
Answers to commonly asked
questions on this assignment
Wednesday, December 2: Linear equations
Before
Friday: Look over course material, especially since last exam
To
turn in Friday: One sheet of paper containing:
-
A solution to the problem
given in class
-
A question that you have on
CONTENT for the exam (about mathematics, not about how many problems there will
be or if it will be curved)
-
You can ask other questions
(i.e., about the exam itself) but there should be at least one question on
content.
WebAssign:
Homework 26 (due FRIDAY, December 4 before midnight)
Answers to commonly asked
questions on this assignment
Friday, December 4: Review
Thursday, December 10: Final Exam, 7-10
pm
Office
hours for finals week: Wednesday and Thursday 2-4 pm, and by appointment
http://www.math.ucr.edu/jbergner/math9cf09.htm Last updated: 7 December 2009