Math 2413, Revised Summer 2013
El Paso Community College
Syllabus
Instructor’s Course Requirements
Summer 2013
I.
Course Number and Instructor Information
Calculus I, Math 2413/ 30677 at B105 from 5/27 to 8/2 (from 7:30am to 8:42am).
INSTRUCTOR'S NAME:
Jorge Viramontes
CAMPUS AND OFFICE NUMBER:
Valle Verde Campus B242
TELEPHONE AND E-MAIL:
915-831-2617 and jviram15@cp.epcc.edu
OFFICE HOURS:
Thursdays from 8:45am to 10:45am
II. Text(s) and Materials
A.
Required Text
Larson, Ron, Hostetler, Robert P., and Edwards, Bruce H., Calculus, Volume I; 9th
Edition, Houghton Mifflin Company, 2010. This is a two semester custom text
version. This version covers only Calculus I & II. Adopted in 2010.
B.
Materials
1.
2.
3.
Scientific or Graphics-Mode calculator (required)
Study guides and solutions manuals (optional)
Web Assign code (required by the end of the first week of classes)
III. Course Requirements
A.
Grading Scale:
The Course grade will be determined by taking the total points earned dividing by
the total possible number of points a student can earn, rounding to the nearest unit,
and assigning a letter grade based on the following scale.
Grade Average
90-100
80-89
70-79
60-69
Below 60
Grade
A
B
C
D
F
Math 2413, Revised Summer 2013
B.
Exams: There will be four exams (see calendar below for approximate timetable)
and one comprehensive final exam. The four exams give you 50% (12.5% each)
of your final grade. The final exam gives you 20% of your final grade. There will
be no retakes on exams, and no exam grade will be dropped.
C.
Quizzes: There will be several quizzes during the course. The quizzes give you
15% of your final grade. There will be no retakes on quizzes, and no quiz grade
will be dropped.
D.
Homework: You will find all homework on Web Assign. Please try to use
Mozilla Firefox, since Web Assign works best with this browser. You do not have
to register for Web Assign. Your name will be uploaded by the instructor to your
assigned class. Your username and password is your epcc’s 800 number, and for
institution enter epcc. Once you login, enter the Web Assign code included in your
book, or you may buy one directly on the Web Assign web site. The due date for
the homework corresponding to the covered sections during the previous week,
will be the following Friday. Late homework will not be accepted. Web Assign
web site: http://www.webassign.net. The homework gives you 15% of your grade.
IV. Instructor Policies
A. Attendance--Drop
It is the student’s responsibility to attend all class sessions and to arrive on time. If
he/she should decide to withdraw, it is the student’s responsibility to complete the
necessary paper work. Last day to drop with a W is July, 5 2013.
B. Honor’s Credit
This course may be available for honor’s credit. See your instructor for details.
C. Cell Phones
Cell-phones and beepers should be turned off.
D. “I” Grade
I (incomplete) grades are assigned whenever the appropriate assignments and
deadlines are met. To be eligible for an incomplete grade, a student must have at
least 80% of the course work completed with at least a 75% average.
E. Cheating
High ethical standards are prerequisites for successful careers and reflect on a
person’s character. All graded work must be the student’s own work. Situations
involving cheating (giving and receiving answers on test) will be handled according
to the student code of conduct published in the EPCC Catalog (page 72) and EPCC
7.05.01.10 Student Disciplinary Procedure.
Math 2413, Revised Summer 2013
V. Calendar:
WEEK
Calendar for Math 2413 (approximate)
Dates
ACTIVITIES
1.
1.1, 1.2, 1.3
2.
1.4, 1.5, 2.1
3.
2.2, 2.3, 2.4
4.
June 14
2.5, 2.6, EXAM I
5.
3.1, 3.2, 3.3
6.
3.4, 3.5, 3.6
7.
3.7, 3.8, 3.9
8.
July 5
9.
10
EXAM II, 4.1, 4.2
4.3, 4.4, 4.5
July 26
4.6, EXAM III, 5.1
11.
5.2, 5.3, 5.4
12.
5.5, 5.6
Section Titles
1.1-A Preview of Calculus
1.2-Finding Limits Graphically and
Numerically
1.3-Evaluating Limits Analytically
1.4-Continuity and One-Sided Limits
1.5-Infinite Limits
2.1-The Derivative and the Tangent
Line Problem
2.2-Basic Differentiation Rules and
Rates of Change
2.3-Product and Quotient Rules and
Higher-Order Derivatives
2.4-The Chain Rule
2.5-Implicit Differentiation
2.6-Related Rates
3.1-Extrema on an Interval
3.2-Rolle’s Theorem and the Mean
Value Theorem
3.3-Increasing and Decreasing
Functions and the First Derivative
Test
3.4-Concavity and the Second
Derivative Test
3.5-Limits at Infinity
3.6-A Summary of Curve Sketching
3.7-Optimization Problems
3.8-Newton’s Method
3.9-Differentials
4.1-Antiderivatives and Indefinite
Integration
4.2-Area
4.3-Riemann Sums and Definite
Integrals
4.4-The Fundamental Theorem of
Calculus
4.5-Integration by Substitution
4.6-Numerical Integration
5.1-The Natural Logarithmic
Function:Differentiation
5.2-The Natural Logarithms Function:
Integration
5.3-Inverse Functions
5.4-Exponential Functions:
Differentiation and Integration
5.5-Bases other than e and
Applications
Math 2413, Revised Summer 2013
13.
5.7, 6.1
14.
6.2, 6.3
15.
July 31
5.6-Inverse Trigonometric Functions:
Differentiation
5.7-Inverse Trigonometric Functions:
Integration
6.1-Slope Fields and Euler’s Method
6.2-Differential Equations: Growth and
Decay
6.3-Separation of Variables and the
Logistic Equation
EXAM IV AND
REVIEW FOR
FINAL EXAM
Date of Final Exam: Friday, August 2 2013 during class time
MATH 2413; Revised Fall 2012
El Paso Community College
Syllabus
Part II
Official Course Description
SUBJECT AREA
Mathematics
COURSE RUBRIC AND NUMBER
Math 2413
COURSE TITLE
Calculus I
COURSE CREDIT HOURS
4
Credits
I.
4 :
Lec
0
Lab
Catalog Description
Presents limits, continuity, differentiation, and integration of functions of a single variable. Prerequisite:
Math 2412 with a “C” or better or by placement exam. (4:0).
II.
Course Objectives
Upon satisfactory completion of this course the student will be able to:
A.
Unit I Limits, Continuity and The Derivative
1. Understand the intuitive concept of limit.
2. Find limits numerically and graphically.
3. Find the points where a function is continuous.
4. Use the epsilon – delta definition of a limit.
5. Find infinite limits and use them to find equations of asymptotes.
6. Establish the relationship between tangent lines and rates of change.
7. Understand how the concept of limits leads to the concept of the derivative.
8. Find derivatives using the power rule, the product rule and the quotient rule.
9. Find higher order derivatives.
10. Use the chain rule.
11. Find derivatives using the implicit method.
12. Solve related rate problems.
B.
Unit II Derivative Applications
1. Find relative and absolute extrema on an interval.
2. Apply Rolle’s Theorem and The Mean Value Theorem.
3. Find where functions are increasing and decreasing.
4. Find where functions are concave up and down.
5. Apply the 1st and 2nd derivative tests.
6. Analyze and sketch the graph of a rational function.
7. Solve optimization problems.
8. Interpret the meaning of a differential.
C.
Unit III Integration
1. Evaluate definite and indefinite integrals.
2. Use sigma notation to find sums.
3. Find approximations for areas using rectangles and exact areas using integration.
4. Apply the fundamental Theorem of Integral Calculus.
5. Apply the method of substitution to integration problems.
Revised by Discipline: Fall 2012
MATH 2413; Revised Fall 2012
B.
III.
Unit IV Logarithmic, exponential and other transcendental functions
1. Find derivatives of natural logarithm functions.
2. Find derivatives of exponential functions.
3. Integrate logarithmic and exponential functions.
4. Understand the concept of inverse functions.
5. Find derivatives of inverse trigonometric functions.
6. Integrate inverse trigonometric functions.
Evaluation
A.
It is suggested that there be four (4) unit exams and a comprehensive final exam. The final exam is
mandatory.
B.
Quizzes may be given at the discretion of the instructor.
C.
Homework assignments should be expected to accompany each class session.
D. Grading will be based on the following scale:
90 – 100
80 – 89
70 – 79
60 – 69
0 – 59
A
B
C
D
F
Note I and W grades will be assigned whenever the appropriate assignments and deadlines have been
met. To receive an I, the students must have completed at least 80% of the course with at least a 75
average. The proper forms must also be signed by both the student, and the instructor before being
submitted to the registrar.
IV.
Disability Statement (American with/Disabilities Act [ADA])
EPCC offers a variety of services to persons with documented sensory, mental, physical, or temporary
disabling conditions to promote success in classes. If you have a disability and believe you may need
services, you are encouraged to contact the Center for Students with Disabilities to discuss your needs with
a counselor. All discussions and documentation are kept confidential. Offices located: VV Rm C-112
(831-2426); TM Rm 1400 (831-5808); RG Rm B-201 (831-4198); NWC Rm M-54 (831-8815);
and MDP Rm A-125 (831-7024).
V.
6 Drop Rule
Students who began attending Texas public institutions of higher education for the first time during the Fall
2007 semester or later are subject to a 6-Drop limit for all undergraduate classes. Developmental, ESL,
Dual Credit and Early College High School classes are exempt from this rule. All students should consult
with their instructor before dropping a class. Academic assistance is available. Students are encouraged to
see Counseling Services if dropping because exemptions may apply. Refer to the EPCC catalog and
website for additional information.
Revised by Discipline: Fall 2012