MATH 285 - Math at Cuyamaca: Working to Deliver Education's Promise
Math at
Cuyamaca:
Working to
Deliver
Education's
Promise
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Teaching
Philosophy
MATH 160
MATH 285
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Learning
Outcomes
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MATH 96
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General Info MATH 285 Home Assignments Grades Learning Outcomes
Materials Resources Schedule WebAssign Solutions
Meeting Info
Spring 2015
MATH 285 Differential
Equations
Room: H-118
MW 12:30-1:45
Syllabus
So if a man's wit be wandering, let him study
the mathematics; for in demonstrations, if his
wit be called away never so little, he must
begin again. ~Francis Bacon, "Of Studies"
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Upcoming Due Dates
Attendance
(Section #7030)
Wed
1/28
1. A good faith effort on the Integration
Techniques Review packet is due
when class starts.
2. To be continued ...
Subject to change
Daily Diary
Mon
1/26
We perused various sections of this website
and chatted about the minimum threshold
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Since your grade is
based in part on
your class work,
missing all or even
part of a class could
negatively affect
your overall grade.
Also, you could be
dropped from this
course for missing
three or more
MATH 285 - Math at Cuyamaca: Working to Deliver Education's Promise
on the final exam (see the Grades section of
this site). We also chatted about the
WebAssign homework and how to write up
the paper-and-pencil problems from
WebAssign (see the Assignments and Grades
sections of this site).
I distributed the Integration Techniques
Review packet (but it's also posted in the
Resources section of this site).
classes (missing roll
counts as missing
class). However, if
you quit attending
class, you should
not assume that I
will drop you.
Should you choose
to drop the class,
ultimately it is your
responsibility to
officially withdraw.
We started working through section 1.1 and
left off with the following example
(WARNING: there was a typo when I wrote
the problem on the board).
DE: x^2(y'') + 2x(y') = 0; y = c1 + c2x^(-1) I:
x>0
We'll start the class on Wednesday with this
example and then power through the rest of
section 1.1. I hope to at least introduce
section 1.2 on Wednesday.
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Math at Cuyamaca: Working to Deliver Education's Promise
Math at
Cuyamaca:
Working to
Deliver
Education's
Promise
Search this site
General Info
Teaching
Philosophy
General Info Math 160 Home Math 285 Home Math 96
Home Blackboard Cuyamaca College
MATH 160
MATH 285
MATH 96
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Important Dates
Terrie Nichols
Math Instructor, Cuyamaca College
Teaching Philosophy
Pure mathematics is, in its way, the poetry
of logical ideas. ~Albert Einstein
Contact Information
Cell: (619)373-4432 Please - no texts or
calls evenings and weekends (unless it's
really important)
Email: [email protected]
Office Hours
Location: H-117
Mon & Wed: 4:30 - 5:50 pm
Thurs: 12:00 - 1:50 pm
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The last day to add
a semester-length
class is Friday,
February 6th. The
last day to drop a
semester-length
class without a W
appearing on your
transcript is also
Friday, February 6th.
The last day to
withdraw from a
semester-length
class is Friday, April
24th. Final grades
will be available on
June 4th.
Accommodations
Accommodations
are available to
students with
disabilities. If you
suspect that you
have a learning or
any other type of
Math at Cuyamaca: Working to Deliver Education's Promise
disability, please
contact the DSPS
Office . DSPS
students who need
an academic
accommodation or
who may need
evacuation
assistance during a
campus emergency
should notify me
within the first two
weeks of
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Learning Outcomes - Math at Cuyamaca: Working to Deliver Education's Promise
Math at
Cuyamaca:
Working to
Deliver
Education's
Promise
Search this site
General Info
Teaching
Philosophy
General Info MATH 285 Home Assignments Grades Learning Outcomes
Materials Resources Schedule WebAssign Solutions
MATH 160
MATH 285
Assignments
Grades
Learning
Outcomes
Materials
Resources
Schedule
Solutions
Syllabus
MATH 285 Student Learning
Outcomes and Catalog
Description
Prerequisite
MATH 280 with a grade of "C" or higher or "Pass" , or
equivalent.
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Catalog Description
3 Hours Lecture (3 units)
This course is an introduction to ordinary differential
equations including both quantitative and qualitative
methods as well as applications from a variety of
disciplines. Introduces the theoretical aspects of
differential equations, including establishing when
solution(s) exist, and techniques for obtaining solutions,
including series solutions, singular points, Laplace
transforms and linear systems.
Student Learning Outcomes (SLO)
Upon successful completion of this course, students will
be able to:
1. Solve first order differential equations and initial
value problems using various techniques
including graphing direction fields, separation of
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Learning Outcomes - Math at Cuyamaca: Working to Deliver Education's Promise
2.
3.
4.
5.
6.
variables, exact equations and transforming the
equation by an integrating factor.
Solve higher order differential equations and
initial value problems using various techniques
including undetermined coefficients, variation of
parameters and reduction of order.
Analyze and classify differential equations in
order to determine the most suitable method to
solve it.
Analyze and assess whether a differential
equation has a solution based upon the
Uniqueness and Existence Theorems.
Operate on a differential equation with Laplace
transforms to produce a solution.
Create a differential equation which can model
various real life applications including falling
bodies, cooling and warming, growth and decay,
and position of a mass on a spring.
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Materials - Math at Cuyamaca: Working to Deliver Education's Promise
Math at
Cuyamaca:
Working to
Deliver
Education's
Promise
Search this site
General Info
Teaching
Philosophy
General Info MATH 285 Home Assignments Grades Learning Outcomes
Materials Resources Schedule WebAssign Solutions
MATH 160
MATH 285
Assignments
Grades
Learning
Outcomes
Syllabus
MATH 285 Materials
Textbook
Materials
Resources
Schedule
Solutions
More Quotes
MATH 96
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Learning Outcomes
Materials
Resources
Schedule
WebAssign
Solutions
The most savage
controversies are
those about matters
as to which there is
no good evidence
either way.
Differential Equations with Modeling Applications, 10th Persecution is used
edition,
in theology, not in
by Dennis Zill (ISBN 978-1-111-82705-2) AND a
arithmetic.
WebAssign account to accompany this textbook (see the ~Bertrand Russell
WebAssign section below)
OR
A WebAssign account with the eBook for this textbook
(see the WebAssign section below)
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Even stranger things
have happened; and
perhaps the
strangest of all is
the marvel that
mathematics should
Materials - Math at Cuyamaca: Working to Deliver Education's Promise
WebAssign
To set up your student account for this class in
WebAssign, please read the Student Quick Start
Guide . When asked for a class key enter the following
class key.
MATH 285 (Differential Equations) Class Key: cuyamaca
1433 3067
The institution code is cuyamaca.
Note: when setting up your account, you'll have the
option to purchase a WebAssign account for this class
with or without the eBook. If you purchase the account
with the eBook, you are not required to purchase the
textbook listed above.
Calculators
A scientific calculator such as the TI-30X IIS AND a
graphing calculator such as the TI-84Plus, TI-89, TI
Voyage 200, or TI-Nspire are required. WARNING: You will be expected to reset your graphing
calculator to its original factory condition for each
homework quiz and exam (don't worry about how to do
this as I will walk you through it). Also if you choose to
purchase the TI-Nspire, I will place it in test mode for
each quiz and exam, and afterwards you will need to
link your calculator to another TI-Nspire to release it
from test mode. Finally, I am only able to help you learn
how to use the TI graphing calculators with the
exception of the TI-Nspire. In other words, I cannot help
you with the Casio or Hewlett Packard graphing
calculators.
Hardware/Software
Access to the web to complete homework assignments
Ability to access video content online
Other
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be possible to a
race akin to the
apes. ~Eric T. Bell,
The Development of
Mathematics
The laws of nature
are but the
mathematical
thoughts of
God. ~Euclid
Materials - Math at Cuyamaca: Working to Deliver Education's Promise
You'll need a 3-ring notebook, 8.5" X 11" loose-leaf
notebook paper, pencil and an eraser.
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Grades - Math at Cuyamaca: Working to Deliver Education's Promise
Math at
Cuyamaca:
Working to
Deliver
Education's
Promise
Search this site
General Info
Teaching
Philosophy
General Info MATH 285 Home Assignments Grades Learning Outcomes
Materials Resources Schedule WebAssign Solutions
MATH 160
MATH 285
Assignments
Grades
Learning
Outcomes
Syllabus
MATH 285 Grades
Grade Breakdown
Categories
Materials
Percentage
Resources
WebAssign Work
15%
Schedule
Paper & Pencil Work and HW
Quizzes
30%
Exams
30%
Final
25%
Solutions
MATH 96
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WebAssign
Final Exam & Overall Grade
The bad news: you must earn a minimum score of 60%
on the final exam and a minimum overall grade of 70%
to pass the class with a C or better. The good news: you
can earn 5% extra credit on the final exam by averaging
80% on the Everlasting Quiz over the course of the
semester. To learn more about the Everlasting Quiz,
peruse the information in the column on the right.
Grade Scale
A plus-minus system is used to assign final grades.
Academic Honesty
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Assignments
Grades
Learning Outcomes
Materials
Resources
Schedule
WebAssign
Solutions
Much of your
homework will be
completed using
WebAssign (please
see the Assignments
section of this site
for more
information). No
makeups, but I will
drop your two
lowest WebAssign
scores.
Paper & Pencil
Work and HW
Quizzes
Grades - Math at Cuyamaca: Working to Deliver Education's Promise
Students are expected to adhere to the College's
Academic Honesty/Dishonesty Policy found in the
College Catalog. Any student caught cheating or
facilitating the act of cheating will earn a score of zero
on the assessment in question. Any student who earns a
zero for cheating three or more times will fail the class
(even if the student has managed to maintain an overall
passing grade).
Track Your Grades
Your grades will be updated regularly on Blackboard . When your
WebAssign
homework is due, I
will either collect
your paper and
pencil work OR you
may have a short
homework quiz. The
quizzes will be
closed-book, closednotes, and
sometimes closedcalculator, but the
problems will be
similar to the
WebAssign
problems. However,
the quiz problems
will not be multiple
choice even if the
WebAssign
problems are (in
other words, if
appropriate, you will
be expected to show
your work and
support your
conclusions). No
make-ups, but I will
drop your two
lowest scores from
this category.
Exams
Expect three exams
and a
comprehensive final
exam. The exams
(not the final) will
consist of two parts.
One part will be
completed at home
(possibly on
Blackboard), and the
other part will be
taken in class
(closed notes,
closed books, and
possibly closed
calculator). For each
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Grades - Math at Cuyamaca: Working to Deliver Education's Promise
exam, the take-home
part and the in-class
part will be
weighted
approximately
equally. No makeups, but I will drop
your lowest exam
(not including the
final).
Final Exam
The comprehensive,
closed-notes and
closed-book final
exam is scheduled
for Monday, June
1st, from 12:00 to
2:00 pm (note the
time change). There
is no take-home part
to the final exam.
No make-ups.
Everlasting Quiz
Throughout the
semester we will
build an Everlasting
Quiz which I will
post in the
Resources section of
this site. After we
begin building the
quiz, you could have
a pop quiz at any
time during any
class. The problems
on the pop quizzes
will be similar to the
posted Everlasting
Quiz problems. We
will continue to add
problems to the
posted Everlasting
Quiz throughout the
semester.
Consequently, as the
semester
progresses, the list
of potential
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Grades - Math at Cuyamaca: Working to Deliver Education's Promise
problems for the
pop quizzes will
grow. These pop
quizzes will not be
included in the
calculation of your
overall grade.
However, if you earn
an average of 80%
on the pop quizzes,
you will receive 5%
extra credit on the
final exam. No
make-ups, but I will
drop your lowest
pop quiz score.
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Assignments - Math at Cuyamaca: Working to Deliver Education's Promise
Math at
Cuyamaca:
Working to
Deliver
Education's
Promise
Search this site
General Info
Teaching
Philosophy
General Info MATH 285 Home Assignments Grades Learning Outcomes
Materials Resources Schedule WebAssign Solutions
MATH 160
MATH 285
Assignments
Syllabus
MATH 285 Assignments
Grades
Learning
Outcomes
Materials
Resources
Schedule
Solutions
MATH 96
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Getting Started with WebAssign
To get started, visit WebAssign , open the
STUDENTS drop-down menu, and select I
Have a Class Key. Follow the directions to set
up your login information and enroll in our
class. You will only need to use the class key
(provided below) once. For subsequent visits
to WebAssign, you will use your login
information to enter our class and complete
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Assignments
Grades
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Materials
Resources
Schedule
WebAssign
Solutions
Directions
In addition to
entering your
solutions online in
WebAssign, you
must write up every
problem using
paper-and-pencil. On
the day WebAssign
is due, I will either
collect and spot
grade your paperand-pencil work OR
you will have a
homework quiz. The
problems on the
homework quiz will
be similar to the
Assignments - Math at Cuyamaca: Working to Deliver Education's Promise
Class Key: cuyamaca 1433 3067
WebAssign
problems, but the
quiz problems will
not be multiple
choice even if the
WebAssign
problems are,
so please practice
the WebAssign
problems by
showing all work
and/or explaining
your conclusions.
For the homework
quizzes, the correct
answer without a
sufficient amount of
correct and
appropriate work
will be worth zero
points. Also, please
remember, for all
assignments
neatness and
completeness with
lots of white-space
counts.
In addition to the
WebAssign
homework, you
should expect other
assignments and/or
group-work.
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Schedule - Math at Cuyamaca: Working to Deliver Education's Promise
Math at
Cuyamaca:
Working to
Deliver
Education's
Promise
Search this site
General Info
Teaching
Philosophy
General Info MATH 285 Home Assignments Grades Learning Outcomes
Materials Resources Schedule WebAssign Solutions
MATH 160
MATH 285
Assignments
Grades
Learning
Outcomes
Materials
Syllabus
MATH 285 Weekly Schedule
Note: The table below lists the projected classroom
activities on the indicated day and is subject to change.
These are NOT due dates. You'll find upcoming due
dates listed on the Math 285 homepage .
Resources
Schedule
Solutions
MATH 96
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Week
Of
Sun,
Jan 25
Sun,
Feb 1
Monday
Wednesday
Assignments
Grades
Learning Outcomes
Materials
Resources
Schedule
WebAssign
Solutions
Exam Schedule
Introduce the course
Start 1.1 Definitions
2.1 Solution Curves
Finish 1.1
Definitions
1.2 Initial Value
Problems
Subject to change
Finish 2.1
2.2 Separable
Variables
Exam 2: Wed 4/15
Sun,
Feb 8
2.3 Linear Equations
Sun,
Feb 15
HOLIDAY WASHINGTON'S
BIRTHDAY
2.5 Substitution
Sun,
Feb 22
3.1 Linear Models
3.2 Non-linear
Models
Sun,
March
1
Catch Up and Review
Exam 1
4.2 Reduction of
Order
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2.4 Exact
Equations
Exam 1: Wed 3/4
Exam 3: Wed 5/20
Final Exam: Mon 6/1
12:00 - 2:00pm
Schedule - Math at Cuyamaca: Working to Deliver Education's Promise
Sun,
March
8
4.3 Homogeneous DE
4.5 Undetermined
Coefficients
Sun,
March
15
4.6 Variation of
Parameters
4.7 Cauchy-Euler
Equations
Students read 5.1
and attempt
homework
problems
Sun,
March
22
SPRING BREAK
SPRING BREAK
Sun,
March
29
4.9 Systems of DE
Catch Up
Answer 5.1
homework
questions
Assign Power
Series videos and
section 6.1 HW
Sun,
April 5
6.2 Solutions About
Ordinary Points
6.3 Solutions
About Singular
Points
Sun,
April
12
Catch Up and Review
Exam 2
7.1 Definition of
the LaPlace
Transform
Sun,
April
19
7.2.1 Inverse Transforms
7.2.2 Transforms of
Derivatives
7.3.1 Translation
on the s-Axis
Sun,
April
26
7.3.2 Translation on the t- 7.4.2 Transforms
axis
of Integral
7.4.1 Derivatives of a
7.4.3 Transform of
Transform
a Periodic Function
Sun,
May 3
7.6 Systems of Linear DE
8.1 Preliminary Theory
(Linear Systems)
8.2.1 Distinct Real
Eigenvalues
Sun,
8.2.2
May 10 Repeated Eigenvalues
8.2.3 Complex
Eigenvalues
Sun,
Catch Up and Review
May 17
Exam 3
Sun,
HOLIDAY - MEMORIAL
May 24 DAY
Review
Sun,
Final Exam: June 1st,
May 29 12:00 - 2:00 pm
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