Mathematics
Spring Branch Campus
Math 1325: Elements of Calculus with Applications
CRN 44141 – Spring/2015
Rm 321 | 7:00pm – 8:30pm Mon and Wed
3 hour lecture course / 48 hours per semester/ 16 weeks
Textbook: Mathematics with Applications; 10th ed.; Lial, Margaret L
ISBN-13: 978-0-321-64553-1
Instructor: Oscar Castro
Instructor Contact Information: Oscar.castro@hccs.edu
Math Dept. 713-718-5511
Office location and hours: none
Course Description
MATH 1325: Elements of Calculus with Applications. 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
MATH 1314 or the equivalent.
Learning outcomes
Students will:
1.1 Find the limit of a function as x approaches a.
1.2 Find the average and instantaneous rate of change.
1.3 Use a limit to find the derivative of a function.
1.4 Tell if a function is continuous at given values of x.
2.1 Use the quotient rule to find the derivative of a function.
2.2 Use the power rule to find the derivative of a function.
2.3 Find the derivative of exponential and logarithmic functions.
2.4 Find the absolute extrema of a given function.
2.5 Use the second derivative to find all relative extrema for a function.
2.6 Use derivatives for various applications and sketching of curves.
3.1 Find antiderivatives for indefinite integrals and find indefinite integrals using substitution.
3.2 Given a definite integral, find the area under the curve.
3.3 Evaluate the results of a summation.
3.4 Using the fundamental theorem of calculus, evaluate definite integrals.
3.5 Apply definite integrals for various applications and use the table of integrals to find antiderivatives .
3.6 Find general solutions for given differential equations.
4.1 Graph the first octant portion of a given plane.
4.2 Given a function f(x,y), find all second-order partial derivatives.
4.3 Given a function f(x,y), find the values of any relative extrema and identify saddle points.
Course Outline: Course topics will be presented in the order listed below. However, I may choose to organize
topics in any order, but all materials must be covered.
APPROXIMATE TIME
Algebra Review (5 hours)
1/2 hour
Course introduction
TEXT REFERENCE
1/2 hour
1 hour
1 hour
1 hour
1 hour
1.3 Factoring
2.3 Linear Models
3.7 Rational Functions
4.1 Exponential Functions
4.3 Logarithmic Functions
Differential Calculus (11 hours)
1 hour
11.1 Limits
1 hour
11.2 One-sided Limits and Limits Involving Infinity
1 hour
11.3 Rates of Change
1 hours
11.4 Tangent Lines and Derivatives
11/2 hours
11.5 Techniques for Finding Derivatives
11/2 hours
11.6 Derivatives of Products and Quotients
11/2 hours
11.7 The Chain Rule
11/2 hours
11.8 Derivatives of Exponential and Logarithmic Functions
1 hour
11.9 Continuity and Differentiability
Applications of the Derivative (8 hours)
2 hours
12.1 Derivatives and Graphs
2 hours
12.2 The Second Derivative
2 hours
12.3 Optimization Applications
2 hours
12.4 Curve Sketching
Integral Calculus (12 hours)
2 hours
13.1 Antiderivatives
2 hours
13.2 Integration by Substitution
2 hours
13.3 Area and the Definite Integral
2 hours
13.4 The Fundamental Theorem of Calculus
2 hours
13.5 Applications of Integrals
2 hours
13.7 Differential Equations
Multivariate Calculus (6 hours)
2 hours
14.1 Functions of Several Variables
2 hours
14.2 Partial Derivatives
2 hours
14.3 Extrema of Functions of Several Variables
Instructional Methods: The class will be taught with a combination of lecture and power point presentations.
Students will be asked to respond to questions posed during the class. You should also use the tutorial facilities located
on campus
Student Assignments:
Detail will vary according to instructor but should at least mention the number and type of major assignments
(projects, in class exams, take home exams…). This is also the place to put your policies on make-up exams, if any
Final Assessments: The final grade will be based on the following methodology:
T = test average
50%
Q = quiz average 25%
F = Final exam
25%
Grade = 0.25Q + 0.5T + 0.25F
Grades of A,B,C,D, or F will be assigned according to departmental policy. The appendices to this syllabus contains a
calendar of all class periods, tests, quizzes, and critical school dates. There will be no makeups for quizzes missed.
Makeups for any test will be allowed at my discretion and for the purpose reported by the student. I will determine
whether you deserve a makeup or not. REMEMBER: The instructor is not required to accommodate you.
HCC Policy Statement – ADA:
Services to 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 Disability Services Office at his or her respective college at the beginning of
each semester
HCC Policy Statement: Title IX:
HCC is committed to provide a learning and working environment that is free from discrimination on the basis of sex
which includes all forms of sexual misconduct. Title IX of the Education Amendments of 1972 requires that when a
complaint is filed, a prompt and thorough investigation is initiated. Complaints may be filed with the HCC Title IX
Coordinator available at 713 718-8271 or email at oie@hccs.edu.
HCC Policy Statement: Academic Honesty:
You are expected to be familiar with the University's Policy on Academic Honesty, found in the catalog. What this
means is: If you are charged with an offense, pleading ignorance of the rules will not help you. Students are
responsible for conducting themselves with honor and integrity in fulfilling course requirements. Penalties and/or
disciplinary proceedings may be initiated by College System officials against a student accused of scholastic
dishonesty. “Scholastic dishonesty”: includes, but is not limited to, cheating on a test, plagiarism, and collusion.
Attendance: Any student who proves to be disruptive to the learning process of others will be removed from
class and dealt with by the administration. If you are not attending class, you are not learning information. As
the information that is discussed in class is important for your career, students may be dropped from the
course after accumulating absences in excess of six(6) hours of instruction. The six hours would include any
total classes missed or for excessive tardiness or leaving class early.
HCC Course Withdrawal Policy:
If you feel that you cannot complete this course, you will need to withdraw from the course prior to the final date of
withdrawal. Before, you withdraw from your course; please take the time to meet with the instructor to discuss why
you feel it is necessary to do so. The instructor may be able to provide you with suggestions that would enable you to
complete the course. Your success is very important. Beginning in fall 2007, the Texas Legislature passed a law
limiting first time entering freshmen to no more than SIX total course withdrawals throughout their educational
career in obtaining a certificate and/or degree.
Personal Communication Device Policy:
All personal communication devices (any device with communication capabilities including but not limited to cell
phones, blackberries, pagers, cameras, palmtop computers, lap tops, PDA's, radios, headsets, portable fax machines,
recorders, organizers, databanks, and electronic dictionaries or translators) must be muted or turned off during class.
Such activity during class time is deemed to be disruptive to the academic process. Personal communication devices
are to not be on the student desk during examinations. Usage of such devices during exams is expressly prohibited
during examinations and will be considered cheating (see academic honesty section above).
INFORMATION CONCERNING STUDENT DISCIPLINE AND CONDUCT NOT
COVERED CAN BE LOCATED IN THE STUDENT HANDBOOK. ALL MATERIAL
CONTAINED THEREIN WILL APPLY TO THIS CLASS.
The following information is needed for those wishing to use MyMathLab
Go to: pearsonmylabandmastering.com Follow directions.
Instructor: Oscar Castro
Course Name: Math 1325 Elements of Calculus with Applications
Course ID: castro05815
Tentative Instructional Outline: Statistics 1325
Week
Number
1
Oscar J. Castro
Objectives
and Details
Activities
and Assignment
Students are required to
Read all sections covered to include the exercises at the end
of each section. Try some or all of the odd problems.
1/20/15
Intro, Secs 1.3 & 2.3
2
1/26/15
Secs 3.7 & 4.1
1/28/15
Sec 4.3
Quiz 1
Quiz on 1.3,2.3,3.7,4.1
3
2/2/15
Secs 11.1 & 11.2
2/4/15
Test # 1
Test on 1.3,2.3,3.7,4.1,4.3
4
2/9/15
Secs 11.3 & 11.4
2/11/15
Sec 11.5
Quiz 2
Quiz on 11.1,11.2,11.3
5
2/16/15
Secs 11.6 & 11.7
2/18/15
Secs 11.7 & 11.8
6
2/23/15
2/25/15
Test on Chap 9
Test #2
Secs 12.1 & 12.2
7
3/2/15
Sec 12.3
3/4/15
Sec 12.4
Quiz 3
Quiz on 12.1,12.2
8
3/9/14
3/11/15
Test #3
Sec 13.1
Test on Chap 12
9
3/16/15 - 3/22/15
3/23/15
Sec 13.2
3/24/15
Important Date
SPRING BREAK
Last day for administrative withdrawal
3/25/15
10
3/30/15
4/1/15
Quiz 4
Quiz on 13.1,13.2,13.3
Sec 13.4
11
4/6/15
Sec 13.5
4/8/15
Sec 13.6
12
4/13/15
Sec 13.7
4/15/15
Test 4
Test on Chap 13
13
4/20/15
Sec 14.1
4/22/15
Sec 14.2
14
4/27/15
4/29/15
Quiz 5
Quiz on 14.1,14.2
Sec 14.3
15
5/4/15
5/6/15
16
5/13/15
5/22/15
Test 5
Test on Chap 14
Final Review & Makeups
5/10/15
Instruction Ends
FINAL EXAM
Comprehensive Exam, Scantron Req., 7:30pm
GRADES AVAILABLE TO STUDENTS