Math 3B (Hybrid) Spring 2012 Syllabus
Course: Math 3B (Hybrid) – Calculus II
Section 21891
T 6:00 pm - 8:50 pm, C 105
& Online via http://pearsonmylabandmastering.com/ (Course ID: valdez90943)
Prerequisites: Math 3A
Instructor: Michael Valdez
Instructor Email: mvaldez@peralta.edu
Office Hours: By email or by appointment the half hour before/after class
Required Course Materials:
Ø MyMathLab Access for Calculus: Early Transcendentals Textbook, Briggs &
Cochran, 1st Ed
§ No need to purchase the textbook as an electronic copy of the textbook
is available within MyMathLab. Any textbook from a previous calculus
course is fine for reference.
§ A physical copy of the textbook will be available at the CoA Library for
checkout, and another copy will be in the CoA Math Lab for lab use only.
Ø TI-83/84 or 89 Graphing Calculator (89 recommended if going to Math 3C & beyond)
Ø Access to a computer with the following software installed...
§ Windows 2000, XP, or Vista w/Microsoft Internet Explorer 7 or 8 or
Firefox 3.6 or Max OSX 10.6 w/Safari 5
§ Wolfram CDF Player, Adobe Acrobat Reader, Adobe Flash Player, &
QuickTime (Run “Browser Check” on MyMathLab to check for software)
Ø General supplies such as #2 pencils, eraser, at least 3 colored pencils or pens, a
highlighter, a ruler, and spiral notebook with at least 150 pages for your
homework.
Recommended Materials:
Ø Calculus: Early Transcendentals Textbook w/MyMathLab Access, Briggs &
Cochran, 1st Ed
§ The CoA bookstore offers the best deal on the book bundled with the
access code. You run the risk of overpaying if purchasing each separately!
Ø 2’’ Binder and 4 divider tabs for a Math 3B Binder (see binder handout)
Course Topics
This is the second course in the 3-semester calculus sequence. Below is a list of
topics along with the percentage of time that will be spent on each.
1. Techniques of Integration (25%)
§ Integration using substitution
§ Integration by parts
§ Using integral tables
§ Integrations of rational functions using substitution or partial fractions
2. Definite Integral Applications (25%)
§ Computing area of plane regions
§ Computing the volume of a solid of revolution
§ Moments and centroids of a plane region
§ Improper integrals
§ Work
§ Average value of a function over an integral
§ Estimates of definite integrals: Simpson’s method, Trapezoidal Rule
3. Plane Curves & Polar Coordinates (25%)
§ Polar coordinate system
§ Computing area in polar coordinates
§ Parametric equations of plane curves
§ Arc length and speed on a curve
§ Area of a surface of revolution
4. Infinite Series & Related Topics (25%)
§ Sequences and series
§ The integral test
§ The comparison test and the ratio test
§ The alternating-series and absolute-convergent tests
§ Power series
§ Taylor’s formula
Student Learning Outcomes
1. Develop problem solving abilities: Synthesize data, translate words into math
language, and construct an abstract model that describes the problem. (Proof
and Deductive Reasoning Skills)
2. Given data, students will analyze information, and create a graph that is correctly
titled and labeled, appropriately designed, and accurately emphasizes the most
important data content. (Graphing)
3. Students will be to write and manipulate complex algebraic expressions and
general functions, integrate algebraic and transcendental functions, and work
with sequences and power series expressions. (Compute, Simplify, and Solve)
Hyrbid Course Format
The hybrid format of this course has a reduced number of contact hours accompanied
with alternative mediums of learning outside of class: 3 contact hours, and 2 hours of
supplemental instruction through online lectures, quizzes, and offline assignments.
We will generally cover 3 sections a week: 2 in class, and 1 online. You are expected
to utilize online textbook and watch the online video lectures for the topics not
covered in class. I want to stress that this is not an online course; you are required to
attend lecture. I will cover the same content as a regular lecture course and will not
"cut the fat."
You must be willing to devote at least 10-15 hours each week outside this course
whether it be studying or working on various assignments. Some people may have to
devote more time depending on how well they grasp the material. Success in this
course is attributed to your discipline, organization, and willingness to seek help
(when needed) from myself, the Math Lab, a study group, or online discussion board.
Remember, I don’t give you your grade at the end of the semester, you earn it.
Grading
Below is the break down of your overall course
grade along with the grading scale.
Attendance & Participation
Online & Offline Homework
Quizzes
Exams (Includes Final)
5%
25%
10%
60%
Grade
A
B
C
D
F
At least
90%
80%
70%
60%
Below 60%
v Attendance & Participation
Since we meet less, attendance and participation is vital to your success in this
course. Participation includes asking/answering questions and working
together in groups while in class, or posting/answering questions on the
message board online. Additionally, frequently leaving class early or having
more than one in-class absence will greatly diminish this portion of the grade.
v Online Homework
The online homework will be completed through MyMathLab. You should be
writing down each problem in your spiral notebook and keeping a record of
your work for studying purposes. Although this feature can be useful, try to
avoid becoming “View an Example” dependent as this may hinder your ability
develop problem-solving skills necessary for exams. Online homework will
usually be due a week after its perspective lecture is completed. No late online
homework will be accepted under any circumstances. That said, I will drop the
lowest score from your final grade.
Note: If you don't have access to a computer Online, you are more than
welcome to use the computers in the Math Lab (L207) or the Open
Lab (L202D). If you do this, you must sign up for LRNRE 501 – Supervised
Tutoring (Course Code: 21879) to utilize these services. This course is a nocredit ungraded course that will not show up on an official transcript. Your
effort to sign up this course will help keep our labs open and free to all
students.
v Offline Homework
I strongly encourage you to work on these problems together whether it be a
study group or by using the message board, but please make sure the work you
submit is that of your own! All work must be in pencil (colored pens/pencils
okay for graphs) and legible. Offline homework assigned in lecture will be due
at 6:00 pm in-class the following Tuesday. No late offline assignments will be
accepted under any circumstances.
v Quizzes
There will be online quizzes due along with each assignment with the
possibility of in–class pop–quizzes. You will have 10–45 minutes to complete an
online quiz with at most 2 chances to take it.
Try to take these without the aid of your textbook, notes, homework, or
formula sheets. These may be reviewed after their perspective due dates – this
is incentive for you to figure out your mistakes prior to the retake. In a normal
class, you are only given one chance to take a quiz. Please do not ask me to
alter any part of this policy.
You must complete a quiz once you start it, and may not save and come back
to it later. Internet connection issues or failure to submit a quiz before closing
your browser window will lock you out of the program and count as an attempt.
Looking back at old homework or opening the ebook during a quiz will also
lock you out of the program and count as an attempt. If this happens, please
email so you may regain access to the program.
Online quizzes will be due with their corresponding online homework. There
will be no make-ups under any circumstances. That said, I will drop the lowest
score from your final grade.
v Exams
Below is a schedule of exam dates.
Midterm 1
5.4, 5.5, 6.1–6.7
In-class Tuesday, 2/21/12
Midterm 2
Chapter 7.1–7.7
In-class Tuesday, 3/20/12
Midterm 3
Differential Equations: 6.8 & 7.8
Take Home due In-class
Tuesday, 4/10/12
Midterm 4
Chapter 8
In-class Tuesday, 4/24/12
Midterm 5
Chapter 9
In-class Tuesday, 5/8/12
Final Exam
5.4, 5.5, Chapters 6–10
In-class Tuesday, 5/22/12
*The dates described above are tentative to the pace of course and may be subject to change. I
also reserve the right to change any exam to being all or part online, in-class, or take home.
§ Midterms
We will have 5 equally weighted midterms: 4 in-class midterm exams at which
you will have 80 minutes to complete and 1 take-home. Each in-class exam
may consist of calculator and no calculator portions. There will be no makeups under any circumstances. That said, I will drop the lowest midterm score
from your final grade.
§ Final Exam
The final exam will be cumulative and is weighted as 2 midterms. This exam
may consist of calculator and no calculator portions. Absolutely no make-ups
or rescheduling of the final exam.
Additional Course Help
The Math Lab (Room L207)
Phone: (510) 748 – 2127
Hours: M – Th 10:00 am – 5:00 pm
F
10:00 am – 2:00 pm
Math tutors and instructors are available for one-on-one or small group assistance
with your course concepts or homework. There you will find will a copy of the
textbook as well as other calculus textbooks, student solutions manual, and DVD’s
for reference (to only be used only the lab). Computers are also available if you need
to get onto MyMathLab.
Adding/Dropping
It is your responsibility to officially drop the course if you choose not to complete it.
Please consult with the Course Schedule, a Counselor, or the Registrar for any
important dates. I also reserve the right to drop you from the course if you are not
keeping up with work, miss 2 consecutive class sessions, or miss 3 total class
sessions.
Religious Holidays
Reasonable accommodations will be made for you to observe religious holidays when
such observances require you to be absent from class activities. It is your
responsibility to inform me during the first two weeks of class, in writing, about such
holidays.
Academic Honesty
College of Alameda and myself take cheating very seriously. Please make sure any
work produced is your own. It is also your responsibility to ensure other students are
not copying from you (e.g., two identical tests will be considered both students'
responsibility). At the very least, anyone caught cheating will receive a 0 on the
assignment, and will NOT have any of their lowest scores dropped from their final
grade. Consequently, your grade will severely be reduced. In some instances, a
student may be asked to leave the course. You also run the risk of being reported to
the dean and facing disciplinary action from the college. If you are having trouble in
the course come talk to a counselor or me. I am more than happy to help you with
any concepts giving you trouble, or tips for studying. Cheating is never worth risking
your education!
Tentative Course Calendar
Week
1
2
3
4
5
7
8
9
10
Date
In-class
1/24/12
Online
In-class
1/31/12
Online
In-class
2/7/12
Online
In-class
2/14/12
Online
In-class
2/21/12
Online
In-class
2/28/12
Online
In-class
3/6/12
Online
In-class
3/13/12
Topics Covered
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Section 5.5: Substitution Rule
(Parts of 6.7 needed will be incorporated here)
Section 5.4: Working with Integrals
Section 6.1: Velocity and Net Change
Section 6.2: Regions Between Curves
Section 6.3: Volumes by Slicing
Section 6.3 (Continued)
Section 6.4: Volumes by Shells
Section 6.5: Lengths Curves & Areas of Surfaces of
Revolution
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Section 6.6: Physical Applications
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Section 6.6 (Continued)
Midterm 1
Section 7.1: Integration by Parts
Section 7.2: Trigonometric Integrals
Section 7.1 (Continued)
Section 7.3: Trigonometric Substitution
Section 7.4: Partial Fractions
Section 7.5: Other Integration Strategies
Section 7.6: Numerical Integration
Section 7.7: Improper Integrals
Section 7.7 (Continued)
Section 6.7 & 7.8: Introduction to Differential Equations
o Differential Equations & Their Solutions
o Separable Differential Equations
Section 6.7 & 7.8 (Continued)
o Exponential Growth/Decay
Midterm 2
Section 6.7 & 7.8 (Continued)
o Newton’s Law of Cooling/Warming
Section 6.7 & 7.8 (Continued)
o Logistic Growth
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Online
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In-class
3/20/12
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Online
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11
12
13
14
15
16
17
18
19
In-class
3/27/12
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Online
4/03/12
In-class
4/10/12
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Online
In-class
4/17/12
Online
In-class
4/24/12
Online
In-class
5/1/12
Online
In-class
5/8/12
Online
In-class
5/15/12
Online
In-class
5/22/12
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Section 6.7 & 7.8 (Continued)
o Slope Fields
Section 8.1 & 8.2: Sequences
Section 8.1 & 8.2 (Continued)
No Class - Spring Break
(Take Home) Midterm 3 Due
Section 8.3: Infinite Series
Section 8.4: The Divergence & Integral Test
Section 8.5 (Continued)
Section 8.6: Alternating Series
Section 9.2: Power Series
Section 9.2 (Continued)
Midterm 4
Section 9.1: Approximating Functions with Polynomials
Section 9.1 (Continued)
Section 9.3: Taylor Series
Section 9.4: Working with Taylor Series
Section 9.4 (Continued)
Midterm 5
Section 10.1: Parametric Equations
Section 10.1 (Continued)
Section 10.2: Polar Coordinates
Section 10.3: Calculus with Polar Coordinates
Section 10.4: Conic Sections
Final Exam