Math 3A-Calculus1
Peralta Class Code
Spring 2013
College of Alameda
Instructor:
Email:
Office Hours
Location
Claudia Abadia
cabadia@peralta.edu
Tu/Th 10:00AM-10:50AM,
Wed 10:00AM-11:50 AM
L110a
TEXT:
Stewart, James, Calculus, Early Transcendentals, 6th edition, Brooks Cole
ISBN-10: 0495011665 ISBN-13: 978-0495011668
WEB ASSIGN WEBSITE
: http://www.webassign.net/
WEB ASSIGN SECTION:
Alameda.peralta 8106 4028
WEB ASSIGN
Access to a computer with the following software installed...
Operating System: Windows XP (or higher) OR Mac OS X 10.4+
Web Browser: Mozilla Firefox (Version 12+), Google Chrome (Version 19+), Microsoft
Internet Explorer (Version 8+), OR Apple Safari (Version 5.1+)
Plug-ins: Adobe Acrobat Reader (Version 8+), Adobe Flash Player (Version 10+), Adobe
Shockwave Player (Version 11+), AND Java (Version 6+)
Additional Software: WebAssign Lockdown Browser
COURSE DESCRIPTION:
The prerequisite for this class is Math 2 or Math 1 (PreCalculus) and Math 50 or by
placement through the assessment process:
Students will learn the elements of analytic geometry, differentiation and integration of
algebraic and transcendental functions with applications. Use of a graphing calculator or a
computer algebra system is required
Topics that will be covered include
 Limits
 Derivatives
 Chain Rule
 Implicit Differentiation
 Fundamental Theorem of Calculus
Course Topics
This is the first 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. Functions (Optional - 10%)
 Functions, Domain, and Range
 Mathematical Models
 Library of Functions: Power, Reciprocal, Root, Polynomial, Rational,
Trigonometric, and Exponential
 Inverse Functions including Logarithms and Inverse Trigonometric Functions
2. Limits and continuous functions (20%)
 The Tangent Line & Velocity Problem
 The Limit of a Function
 Limit Laws including the Squeeze Theorem
 Continuity including The Intermediate Value Theorem
 Limits at Infinity and Infinite Limits
3. The Derivative (25%)
 The Derivative at a Point and Rates of Change
 The Derivative as a Function
 Derivatives of Polynomials and Exponential Functions
 Derivatives of Trigonometric Functions
 The Chain Rule
 Implicit Differentiation
 Derivatives of Logarithmic Functions
 Rates of Changes in the Natural and Social Sciences
 Related Rates
 Linear Approximations and Differentials
 Hyperbolic Functions, Inverse Hyperbolic Functions, and Their Derivatives
4. Applications of the Derivative (30%)
 Maximum/Minimum Values and Critical Points including The Extreme Value
Theorem
 Rolle's Theorem and The Mean Value Theorem
 The Derivative and the Shape of a Graph
 Indeterminate Forms & L'Hospital's Rule
 Using the Derivative to Sketch the Graph of a Function
 Applied Optimization
 Antiderivatives including Rectilinear Motion
5. The Definite Integral (15%)
 Approximating the Area under a Curve and Distance Travelled using Riemann
Sums
 The Definite Integral and its Properties
 The Fundamental Theorem of Calculus
 Indefinite Integrals
 The Accumulation of the Rate of Change
 Displacement versus Distance Travelled
 The Substitution Rule including Integrals of Symmetric Function
STUDENT LEARNING OUTCOMES
 Synthesize data, translate words into math language, and construct an abstract
model that describes the problem. (Proof and Deductive Reasoning skills)

Analyze information, and create a graph that is correctly titled and labeled,
appropriately designed, and accurately emphasizes the most important data content.
(Graphing)

Manipulate complex algebraic expressions and general functions, and be able to
differentiate and integrate algebraic and transcendental functions. (Compute,
Simplify, and Solve)
`Hybrid 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. 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.
You must 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.
GRADING
 Homework
 Quizzes
 Exams
 Final Exam
25%
15 %
40%
20%
ATTENDANCE
Students will be dropped for missing more than 2 weeks of class without official,
documented excuses. Note, the attendance clock will begin on the first day of class, not
when the student finally adds the class. State law and College of Alameda’s Code require
that students be allowed to make up missed work/quizzes/tests due to absences for
religious holidays, athletic or other school--‐related events. You must notify me at least one
week in advance if you have to miss class for these cases. You are responsible for making
up any missed work within one week of the absence.
CLASSROOM EXPECTATIONS
Students are ere expected to:
 Attend class on a regular basis
 Be on time to class.
 Come prepared to class with all necessary materials.
 Recognize that it is the student’s responsibility to withdraw from the class, not the
instructor’s responsibility.
 Not to copy off of each other on Homework, Class Assignments, or Tests
 Not bring cell phones, laptops or electronic devices to class
TENTATIVE CALENDAR OF TOPICS
Wk 1 – Jan 22
Section 1.1 - four ways to represent a function
Section 1.2- Mathematical Models
Section 1.3 - new functions from old functions
Wk 2 – Jan 38
Section 1.5 – exponential functions
Section 1.6 - inverse functions and Logarithms
Section 2.1 - the tangent and velocity problems
Section 2.2 - the limit of a function
Wk 3 – Feb 4
Section 2.3 - calculating limits using the limit laws
Section 2.5 - continuity
Section 2.6 - limits at Infinity; horizontal asymptotes
Wk 4 – Feb 11
Section 2.7 - derivatives and rates of change
Section 2.8 - the derivative as a function
Review Chapter 1 & 2
Wk 5 – Feb 19
Exam Ch 1 & 2
Section 3.1 - derivatives of polynomials and exponential functions
Section 3.2 - the product and quotient rules
Wk 6 – Feb 25
Section 3.3 - derivatives of trigonometric functions
Section 3.4 - the chain rule
Section 3.5 - implicit differentiation
Wk 7 – March 4
Section 3.6 - derivatives of logarithmic functions
Section 3.7 – rates of change in Nat/Soc Sciences
Section 3.9 - related rates
Wk 8 – March 11
Section 3.10 –linear approximation and differentials
Section 3.11 - hyperbolic functions
Review Ch 3
Wk 9 – March 18
Exam Ch 3
Section 4.1 - maximum and minimum values
Section 4.2 - the mean value theorem
Wk 10 – April 1
Section 4.3 - how derivatives affect the shape of a graph
Section 4.4 - indeterminate forms and L'Hospital's Rule
Section 4.5 - summary of curve sketching
Wk 11 –April 8
Section 4.7 - optimization problems
Section 4.9 - anti-derivatives
Wk 12 – April 15
Review Ch 4
Exam Ch 4
Wk 13 –April 22
Section 5.1 - areas and distances
Section 5.2 - the definite integral
Section 5.3 - the fundamental theorem of calculus
Wk 14 –April29
Section 5.3 - the fundamental theorem of calculus
Section 5.4 - indefinite integrals and the net change theorem
Wk 15 –May 6
Section 5.5 - the substitution rule
Wk 16 – May 13
Review Final Exam
HOMEWORK
The online homework will be completed through WebAssign. You should be writing down
each problem in a notebook and keeping a record of your work for studying purposes. You
will have 5 tries to submit a correct answer before it is marked incorrect. For problems with
multiple parts, partial credit is awarded. The program has “Master It” & “Video Example”
features built into some of the homework problems. The “Master It” option displays an
example problem and interactively helps you solve it, while the “Video Example” displays a
video of an example problem. Online homework assigned in lecture will be due at 11:59 pm
online the following week. After the homework is due, PDFs are available within the program
with worked out solutions. No late online homework will be accepted under any
circumstances.
QUIZZES
There will be online quizzes on WebAssign due along with each assignment with the
possibility of in–class pop–quizzes. The WebAssign Lockdown Browser must be installed in
order to take a quiz. This is to prevent you from accessing the web while taking an exam.
You will have 10-45 minutes to complete an online quiz with at most 2 chances to take it.
You must complete a quiz once you start it, and may not save and come back to it later.
You must submit before you can re-access the eBook and online homework. Try to take
these without the aid of your textbook, notes, homework, or formula sheets.
Online quizzes assigned in lecture will be due at 11:59 pm online the following week. There
will be no make-ups under any circumstances.
MIDTERM
There will be four midterms. Each midterm will cover material discussed in class and
covered on the homework and quizzes. No makeup midterms will be allowed. I will
drop the lowest midterm score
FINAL
The final exam is comprehensive. It will cover material discussed in class, covered in the
homework and on the midterms. The final will also include any new material that has been
covered since the last midterm.
ACADEMIC HONESTY:
Students are expected to adhere to the Code of Conduct as described in the College of
Alameda Catalog. Be aware that cheating includes using unauthorized notes on an exam,
looking at someone else’s exam or quiz, or programming notes into your graphing
calculators. Students who are caught cheating will receive a zero on the exam or quiz.
Multiple infractions of cheating will result in a failing grade for the course.
Anyone with further questions or problems should contact me as soon as possible. Also,
note that using cell phones is not permitted during class, including texting. You should alert
me before class of the need to receive an emergency phone call or the need to leave class
early. Laptop usage is not permitted during class. Students who are disruptive during class
or disrespectful of their fellow classmates will be asked to leave for the day.
Please note: students are responsible for dropping a course before the posted
drop deadline. A student who wishes to withdraw but does not do so before the
deadline will receive an “F” in the course. The last day to withdraw for the
semester is April. 27th
STUDENT SERVICES
Math Lab and Open Lab:
The Math Lab is located in Room L207. This room is located on the second floor of
the COA Library—at the top of the stairs, to your left. The Open Lab is located down
the hall. I will announce hours of operation for Spring 2013 when I receive them.
The Math Lab and the Open Lab computers are equipped to run the course site.
Please use the Math Lab to complete assignments online, receive help from tutors,
and refer to hard copies of the textbook.
Please use the Open Lab to complete the course if you are experiencing
trouble with your own computer.
You can print homework assignments in the Open Lab, but not the Math Lab. You
can complete printed assignments at home, and then return later to the Open Lab or
Math Lab to enter your responses. I recommend you complete online quizzes in the
Open Lab—you’ll avoid potential technical difficulties because the computers are
faster and more current in this lab.
Students must enroll in LRNRE 501 20218 in order to use services provided
by the LRC. Please note that this course is a non unit bearing courses and is
of no cost to the students. LRNRE course will not appear on an official
transcript.
Disability Support Services
Any student with a documented disability is welcome to contact DSPS as early in the
semester as possible so that we may arrange reasonable accommodations. As part of
this process, please be in touch with DSPS. DSPS is located in D-117; their phone
number is (510)748-2328.
IMPORTANT DATES:
 February 3rd
 February 3rd
 February 8th
 February 15th
 February 18th
 March 25th -31st
 April 27th
 May 17th
 May 18th-24th
Last Day to drop without a “W”
Last Day to add a class
Last day to file Pass/No Pass option
Lincoln’s Birthday-Holiday
Washington’s Birthday- Holiday
Spring Break
Last Day to drop a class with a “W”
Malcolm X Day- Holiday
Final Exams