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Math 1325 Elements of Calculus with Applications

         Revised 8-16-08

                                                                

SOUTHWEST COLLEGE

Department of Mathematics

COURSE SYLLABUS

 

MATH 1325:  Elements of Calculus with Applications

                                                

Fall 2008 / Distance Education  

 

 

 

INSTRUCTOR:

Domingo Litong

CONFERENCE TIMES:

by appointment

CONTACT INFORMATION:

domingo.litong@hccs.edu

 

 

Textbook:

Mathematics with Applications; 9th ed.; Lial, Margaret L., Thomas W. Hungerford; Addison Wesley; 2007

 

Catalog Description: 

A survey of differential and integral calculus including the study of functions and graphs from a calculus viewpoint as applied to problems in business and the natural and social sciences.

 

Prerequisites:      A grade of "C" or better in MATH 1314 or equivalent.

 

Credits:  3 credit hours (3 lecture).

 

Course Intent & Audience:

The intent of this course is to provide the student certain manipulative skills with limits insofar as they apply to concrete but elementary problems in the social and natural sciences.  Mathematical rigor will be kept to a minimum.  This course is intended for students majoring in business, natural, and social sciences.

 

Testing policy:

There are three (3) major exams and final exams.

 

 

Grading policy:

Your final course grade is based on the following standard HCCS scale. 

Final Average

90 ≤ Avg ≤ 100

80 ≤ Avg < 90

70 ≤ Avg < 80

60 ≤ Avg < 70

Avg < 60

Final Course Grade

A

B

C

D

F

 

Grading Formula:

 

[(Best 3 Grades of 3 exams and Homework*) + Finals] / 4

 

*Please see homework policy below.

 

Homework policy:

There is homework after every section.  Homework problems will prepare you for the exams.  Your overall homework grade replaces your lowest grade from Exam 1, 2, and 3.

 

Final Examination: 

The final examination consists of 33 multiple-choice problems. The problems cover all the material required in the course.

 

Calculators:

A scientific, graphing calculator is required for the class.

 

Academic dishonesty:

All students are required to exercise academic honesty in completion of all tests and assignments.  Penalties for academic dishonesty (cheating on a test, collusion on an assignment, etc.) include, but are not limited to, a reduced grade, a “0” on that test or assignment, a “W” in the course, or an “F” in the course.  The use of recording devices, including camera phones and tape recorders, is prohibited in all locations where instruction, tutoring, or testing occurs.  Students with disabilities who need to use a recording device as a reasonable accommodation should contact the Disability Services Office for information.

 

Resources and supplemental instruction

Free online tutoring is provided.  Log on to  http://hccs.askonline.net/  Another resource is the student solutions manual that may be obtained from the bookstore.

 

Blackboard Student User ID

 

Your Blackboard login user ID will be your HCC User ID (sometimes referred to as the “W” number).  All HCC students have a unique User ID.  If you do not know your User ID, you can look it up by visiting the HCC home page:

    • From www.hccs.edu, click on “Login Help” under the “Student System Sign In” field
    • Then click on “Retrieve User ID” and follow the instructions.

Or, use the direct link: https://hccsaweb.hccs.edu:8080/servlets/iclientservlet/sauat/?cmd=start

The default student password is “distance.”  Students will then be prompted to change their password after their first login. Please visit DE Technical Support FAQs if you need additional assistance with your log in.

 

HCC Course Withdrawal Policy

 

The State of Texas has begun to impose penalties on students who drop courses excessively.  That is, if you repeat the same course more than twice, you have to pay extra tuition.  In addition, as of Fall 2007, students are limited to no more than SIX total course withdrawals throughout their educational career at a Texas public college or university. 

 

To help students avoid having to drop/withdraw from any class, HCC has instituted an Early Alert process by which your professor will “alert” you and Distance Education (DE) counselors that you might fail a class because of excessive absences and/or poor academic performance.  Contact your DE professor regarding your academic performance or a DE counselor to learn about what, if any, HCC interventions might be available to assist you – online tutoring, child care, financial aid, job placement, etc. – to stay in class and improve your academic performance. 

 

In order to withdraw from your DE class, you MUST contact your DE professor and this must be done PRIOR to the withdrawal deadline to receive a “W” on your transcript.  If you do not withdraw before the deadline, you will receive the grade that you have earned by the end of the semester.  Zeros averaged in for required assignments/tests not submitted will lower your semester average significantly, most likely resulting in a failing grade (“F”).  If you do not feel comfortable contacting your professor to withdraw, you may contact a DE counselor.  However, please do not contact both a DE counselor and your DE professor to request a withdrawal; either one is sufficient.

 

The final withdrawal deadline for regular term and second start classes is November 6, 2008 at 4:30pm. Classes of other duration (mini-term, flex-entry, 8-weeks, etc.) may have different final withdrawal deadlines. Please visit the online registration calendars or contact the HCC Registrar’s Office to determine class withdrawal deadlines.

 

 

Student Services

 

DISTANCE EDUCATION ADVISING AND COUNSELING SERVICES:
Much DE student information can be found on the DE Student Services website: 
www.de.hccs.edu.  Advising or counseling can be accomplished by telephone at 713/718-5275 - option # 4 or via email at decounseling@hccs.edu. Student Services Associates (SSA) and Counselors can assist students with admissions, registration, entrance testing requirements, degree planning, transfer issues, and career counseling. In-person, confidential sessions, can also be scheduled, if necessary, as HCC counselors maintain a local referral base in order to provide appropriate referrals to students with personal or family issues that may require long-term solutions.

 

INTERNATIONAL STUDENTS: International Students are restricted to ONLY ONE online/distance education class per semester.  Please contact the International Student Office at 713-718-8520 if you have additional questions about your visa status.

 

STUDENTS WITH DISABILITIES:

"Any student with a documented disability (e.g. physical, learning, psychiatric, vision, hearing, etc) who needs to arrange reasonable accommodations must contact the appropriate HCC Disability Support Service (DSS) Counselor at the beginning of each semester.  Faculty is authorized to provide only the accommodations requested by the

Disability Support Services Office.

 

Students who are requesting special testing accommodations must first contact the appropriate (most convenient) DSS office for assistance:

Disability Support Services Offices:

System: 713.718.5165

Central: 713.718.6164 – also for Deaf and Hard of Hearing Services and Students Outside of the HCC District service areas.

Northwest: 713.718.5422

Northeast: 713.718.8420

Southeast: 713.718.7218

Southwest: 713.718.7909

 

After student accommodation letters have been approved by the DSS office and submitted to DE Counseling for processing, students will receive an email confirmation informing them of the Instructional Support Specialist assigned to their professor.

NOTICE FOR STUDENTS WHO LIVE OUTSIDE OF HOUSTON:  Students who live or work outside the Houston area and cannot take paper exams at one of our HCC testing locations MUST make arrangements for a proctor.  Please see the DE Student Services Additional Resources webpage for more information.

 

VIRTUAL CLASSROOM CONDUCT: As with on-campus classes, all students in HCC Distance Education courses are required to follow all HCC Policies & Procedures, the Student Code of Conduct, the Student Handbook, and relevant sections of the Texas Education Code when interacting and communicating in a virtual classroom with faculty and fellow students. Students who violate these policies and guidelines will be subject to disciplinary action that could include denial of access to course-related email, discussion groups, and chat rooms or being removed from the class.

USE OF CAMERAS OR RECORDING DEVICES:

Use of recording devices, including camera phones and tape recorders, is prohibited in classrooms, laboratories, faculty offices, and other locations where instruction, tutoring, or testing occurs.  Students with disabilities who need to use a recording device as a reasonable accommodation should contact the Office for Students with Disabilities for information regarding reasonable accommodations.

Course Schedule:

 

Algebra Review (6 hours)                                                                                                                                  

1.3 Factoring

2.3 Linear Models

3.7 Rational Functions

4.1 Exponential Functions

4.3 Logarithmic Functions

 

Differential Calculus (10 hours)

11.1 Limits

 

11.2 One-Sided Limits and Limits Involving Infinity

11.3 Rates of Change

11.4 Tangent Lines and Derivatives

11.5 Techniques for Finding Derivatives                                               

Exam 1

11.6 Derivatives of Products and Quotients

11.7 The Chain Rule

11.8 Derivatives of Exponential and Logarithmic Functions

11.9 Continuity and Differentiability

                                   

Applications of the Derivative (9 hours)

12.1 Derivatives and Graphs

12.2 The Second Derivative

12.3 Optimization Applications

12.4 Curve Sketching

Exam 2

 

 

Integral Calculus (13 hours)

13.1 Antiderivatives

13.2 Integration by Substitution

13.3 Area and the Definite Integral

13.4 The Fundamental Theorem of Calculus                                                                                                        

13.5 Applications of Integrals

13.7 Differential Equations

Exam 3

 

 

Multivariate Calculus (7 hours)

14.1 Functions of Several Variables

14.2 Partial Derivatives

14.3 Extrema of Functions of Several Variables

                                                                                                           

 

                                   

Test Schedule:

 

Test
Chapters Covered on Test
Date

Test #1

 Parts of 1, 2, 3, 4, and 11

 Sept 19 - 21

Test #2

 Remainder of 11 and all of 12

 Oct 17 - 19

Test #3

 All of 13

 Nov 14 - 16

Final Exam

 comprehensive

 Dec 5 - 7

           

    Last Day to Drop:  November 6, 2008 @ 4:30 PM

   

 

Course Objectives:

 At the completion of this course, a student should be able to:

 

1.      Find the limit of a function as x approaches a number a.

2.      Find the average and instantaneous rate of change.

3.      Use a limit to find the derivative of a function.

4.      Use the quotient rule to find the derivative of a function.

5.      Use the power rule to find the derivative of a function.

6.      Find the derivative of exponential and logarithmic functions.

7.      Tell if a function is continuous at given values of x.

8.      Find the absolute extrema of a given function.

9.      Use the second derivative to find all relative extrema for a function.

10.  Use derivatives for various applications and sketching of curves.

11.  Find antiderivatives for indefinite integrals and find indefinite integrals using substitution.

12.  Given a definite integral, find the area under the curve.

13.  Evaluate the results of a summation.

14.  Using the fundamental theorem of calculus, evaluate definite integrals.

15.  Apply definite integrals for various applications and use the table of integrals to find antiderivatives.

16.  Find general solutions for given differential equations.

17.  Graph the first octant portion of a given plane.

18.  Given a function f(x,y), find all second-order partial derivatives.

19.  Given a function f(x,y), find the values of any relative extrema and identify saddle points.

 

Added by domingo.litong
Last modified 2008-08-22 02:59 PM
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