Spring 2015 Math 3A Syllabus

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Math 3A-Calculus1
Peralta Class Code 21917
Spring 2015
College of Alameda
Instructor:
Email:
Office Hours
Location
Claudia Abadia
cabadia@peralta.edu
MW 12PM-1PM TuTH 12:30PM-1PM
L110a
TEXT:
Stewart, James, Calculus, Early Transcendentals, 7th edition, Brooks Cole
ISBN-10: 0495011665 ISBN-13: 978-0495011668
WEB ASSIGN WEBSITE
: http://www.webassign.net/
WEB ASSIGN SECTION:
alameda.peralta 4164 8633
REQUIRED CLASS MATERIALS
Enhanced WebAssign Homework & eBook (Calculus: Early Transcendentals, 7th Ed, Stewart) LOE
Instant Access Code for Multi Term Math (ISBN-10: 1285184211)
 An electronic copy of the text is available within WebAssign, but a physical copy will be
available at the CoA Library for checkout.
TI-83/84 or 89 Graphing Calculator (89 recommended if going to Math 3C & beyond)
Access to a computer with internet and the following software installed...
 Operating System: Windows XP (or higher) OR Mac OS X (Version 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
General supplies such as #2 pencils, eraser, at least 3 colored pencils or pens, a highlighter, a
ruler, and spiral notebook with at least 100 pages for your homework
RECCOMENDED MATERIALS
 Calculus: Early Transcendentals, 7th Ed, Stewart Text + Enhanced WebAssign Homework and
eBook Printed Access Card for Multi Term Math and Science + Enhanced WebAssign - Start
Smart Guide for Students (ISBN-10: 111164957X)
The CoA bookstore offers the best deal on the book bundled with the access code
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
 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
 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
 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
 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
 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)
GRADING
 Online/Offline Homework
 Quizzes
 Exams
 Final Exam
30%
10 %
30%
30%
ONLINE HOMEWORK
The online homework will be completed through WebAssign. You should be writing down each
problem in your spiral 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 progam 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 from a week’s lecture is generally due online at 6:00 pm the following Monday
(unless otherwise specified). 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.
That said, I will drop the lowest score from your final grade.
Note: If you don't have access to a computer at home, you are more than welcome to use the
computers in theMath Lab(L207) or the Open Lab (L202D). If you do this, you must sign up
forLRNRE 501 – Supervised Tutoring(Course Code:22533) to utilize these services. This
course is a no-credit 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.
OFFLINE HOMEWORK
On occasion, I will assign offline homework with problems of my own or from the ebook. 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 from a week’s lecture
is generally due in-class at 10 am the following Tuesday (unless otherwise specified). No late
offline assignments will be accepted under any circumstances.
QUIZZES
We will have short 5-10 minute quizzes at the beginning of each lecture that corresponds to the
previous lectures material. This is to motivate you to arrive on time, review your notes before
class, and stay on top of the homework.
These are closed book with no notes. Calculators may be allowed at my discretion, and I reserve
the right to make any in-class quiz an online quiz with a specified due date. There will be no makeups under any circumstances. That said, I will drop the lowest quiz score from your final grade
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 Schedule
Date
Tuesday
1/20/15
Thursday
1/22/15
Tuesday
1/27/15
Thursday
1/29/15
Tuesday
2/3/15
Thursday
2/5/15
Tuesday
2/10/15
Thursday
2/12/15
Tuesday
2/17/15
Thursday
2/19/15
Tuesday
2/24/15
Thursday
2/26/15
Tuesday
3/3/15
Thursday
3/5/15
Tuesday
3/10/15
Thursday
3/12/15
Tuesday
3/17/15
Thursday
3/19/15
Tuesday
3/24/15
Thursday
3/26/15
Tuesday
4/1/14
Thursday
4/3/14
Tuesday
4/8/14
Thursday
4/10/14
Tuesday
4/15/14
Thursday
4/17/14
Topics Covered
 Syllabus & Introductions
 Intro to WebAssign
 Section 2.1: The Tangent & Velocity Problems





Section
Section
Section
Section
Section
2.2: The Limit of a Function
2.3: Calculating Limits Using the Limit Laws
2.3 (Continued)
2.5: Continuity
2.5 (Continued)

Section 2.6: Limits at infinity; Horizontal Asymptotes

Section 2.7: Derivatives & Rates of Change

Section 2.8: The Derivative as a Function

Section 3.1: Rules of Polynomials & Exponential Functions

Section 3.2: The Product & Quotient Rules

Section 3.3: Derivatives of Trigonometric Functions

Midterm Exam 1 (Chapter 2)







Section
Section
Section
Section
Section
Section
Section

Section 3.9: Related Rates

Section 3.10: Linear Approximation

Section 4.1: Maximum & Minimum Values

Midterm Exam 2 (Chapter 3)

Spring Break – No Class

Spring Break – No Class

Section 4.2: The Mean Value Theorem

Section 4.4: Indeterminate Forms & L’Hospital’s Rule

Section 4.3: How the Derivative Affects the Shape of a Graph


Section 4.5: Summary of Curve Sketching
3.3 (Continued)
3.4: The Chain Rule
3.4 (Continued)
3.5: Implicit Differentiation
3.5 (Continued)
3.6: Derivatives of Logarithmic Functions
3.7: Rates of Change in the Natural & Social Sciences
Tuesday
4/22/14
Thursday
4/24/14
Tuesday
4/29/14
Thursday
5/1/14
Tuesday
5/6/14
Thursday
5/8/14
Tuesday
5/13/14
Thursday
5/15/14
Tuesday
5/20/14

Section 4.7: Optimization Problems

Section 4.9: Antiderivatives

Midterm Exam 3 (Chapter 4)

Section 5.1: Areas & Distances

Section 5.2: The Definite Integral

Section 5.3: The Fundamental Theorem of Calculus

Section 5.4: Indefinite Integrals & The Net Change Theorem

Section 5.5: The Substitution Rule

No Class
Thursday
5/22/14

Final Exam (Chapters 1-5, excluding Sections 2.4, 3.8, 3.11, 4.6, & 4.8)
MIDTERM
There will be three 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 25th.
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 2015 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 501-21846 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 1st
 February 1st
 February 6th
 February 13th
 February 16th
 March 30th-April 5th
 April 25th
 May 15th
 May 16th-22nd
 May 21st 10AM-12PM
Last Day to drop without a “W”
Last Day to add a class
Last day to file Pass/No Pass
Lincoln’s Birthday-Holiday Observance
Washington’s Birthday-Holiday Observance
Spring Break
Last Day to drop a class with a “W”
Malcolm X Day-Holiday Observance
Final ExamsWeek
Final Exam
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