Houston Community College
Northwest College
Math Department
Instructor: Hung Q. Dam
Phone: 832-798- 5983
Fall 2014
CRN: 28506
Math 1325: Elements of
Calculus with Applications
Aug 25 to Dec 14, 2014
COURSE SYLLABUS
Audience: This course is intended for students majoring in business, and the natural and social science.
Prerequisites: MATH 1314 or its equivalent.
Course intent: The intent of this course is to provide the student certain manipulative skills with limits in
sofar as they apply to concrete but elementary problems in the natural and social sciences. Mathematical
rigor will be kept to a minimum.
Course Objectives: Upon completion of this course, a student should be able to:
(1) Find the limit of a fuction and the rates of change.
(2) Use a limit, or the quotient rule, or the power rule, to find the derivative of a function.
(3) Find the derivative of an exponential or a logarithmic function.
(4) Tell if a function is continuous at a given value of x.
(5) Find the absolute extrema of a function.
(6) Use derivatives for various applications and sketching of curves.
(7) Find the indefinite integral of a function, without or with using substitution.
(8) Find the definite integral of a function and use it in various applications.
(9) Find the general solutions for a given differential equation.
(10) Find the partial derivatives of a function f(x,y) of 2 variables x and y.
Textbook : Mathematics with Applications, by Lial, Hungerford & Holcomb,
10th edition, 2011 ADDISON - WESLEY
Resource Materials: Any student enrolled in Math 1325 at HCCS has access to the Academic Support
Center where they may get additional help in understanding the theory or in improving their skills. The
Center is staffed with mathematics faculty and student assistants, and offers tutorial help, video tapes and
computer assisted drills. Also available is a Student’s Solutions Manual which may be obtained from the
Bookstore.
Suggested Methods: Students are encouraged to work the review exercises at the end of each chapter.
Also, they are encouraged to visit the Academic Support Center at their respective college
Attendance : Regular attendance is extremely important in mathematics classes. You may be dropped for
excessive absence (more than 12.5% of the class time, or 2 weeks or the equivalent). Veterans with
excessive absence will be dropped with an official drop form by the last drop day. If you should decide to
withdraw from the course, initiate a student drop in the office. Should your name remain on the roll at the
end of the term, you must receive a grade.
Page 1
Major Exams: There will be 3 major exams. Each major exam score will count for 25% of the final
course average.
Final Exam: The final exam will cover all the course material. The final exam score will count for 25%
of the final course average.
Grading Formula: The grading formula is :
Co
Course average
=
( T1 + T2 + T3 + F ) ( 0.25 )
where T1, T2, T3 are the 3 major exam scores, and F the final exam score.
Americans With Disabilities Act (ADA): Persons needing accommodations due to a documented
disability should contact the ADA counselor for their college as soon as possible.
Departmental Policies:
1. The final exam is comprehensive and questions on it can deal with any of the course objectives.
2. Each student should receive a copy of the syllabus for the course on the first day of class.
3. A comprehensive final examination must be given. The final examination must be taken by all
students.
4. All major exams should be announced clearly in advance in the course syllabus.
5. The final exam must count for at least 25% and at most 40% of the final grade.
6. The final course average will be used in the usual manner. Grades will be assigned as follows:
Course average :
Grade :
90 - 100
A
80 - 89
B
70 - 79
C
60 - 69
D
Below 60
F
7.Either an open book or a take-home major exam may be given at the discretion of the instructor.
8. Review sheets (if any) should be comprehensive and the student should not feel that classroom
notes,homeworks and major exams may be ignored in favor of the review sheets for examinations.
Page 2
COURSE CALENDAR: CALCULUS WITH APPLICATIONS
SESSION DATE
TOPICS
SECTIONS
WEEK # 1
M Aug 25, 2014
W Aug 27
The real numbers
Polynomials
Factoring
1.1
1.2
1.3
Linear models
2.3
WEEK # 2
M Sep 01
Labor Holiday
W Sep 03
Rational Functions
3.7
WEEK # 3
M Sep 08
Exponential Functions
4.1
W Sep 10
Logarithmic Functions
4.3
WEEK # 4
M Sep15
W Sep17
Major Exam # 1
The 6
previous
sections
(1.1 – 4.3)
Limits
11.1
Page 3
COURSE CALENDAR: CALCULUS WITH APPLICATIONS
WEEK # 5
M Sep 22
One-sided limits and limits involving Infinity
11.2
W Sep 24
Rates of Change
11.3
WEEK # 6
M Sep 29
W Oct 01
Tangent lines and derivatives
11.4
Techniques for finding Derivatives
11.5
WEEK # 7
M Oct 06
Derivatives of Produts and Quotients
11.6
W Oct 08
The Chain Rule
11.7
WEEK # 8
M Oct 13
Derivatives of Exponential and Logarithmic
Functions
11.8
W Oct 15
Continuity and Differentiability
11.9
Page 4
COURSE CALENDAR: CALCULUS WITH APPLICATIONS
WEEK # 9
The 9
previous
sections
(11.1-11.9)
M Oct 20
Major Exam # 2
W Oct 22
Derivatives and Graphs
12.1
WEEK # 10
M Oct 27
W Oct 29
The Second Derivative
12.2
Optimization Applications
12.3
WEEK # 11
M Nov 03
Curve Sketching
12.4
W Nov 05
Antiderivatives
13.1
WEEK # 12
M Nov 10
Integration by Substitution
13.2
W Nov 12
Area and Definite Integral
13.3
Page 5
COURSE CALENDAR: CALCULUS WITH APPLICATIONS
WEEK # 13
The 7
previous
sections
(12.1-13.3)
M Nov 17
Major Exam # 3
W Nov 19
The Fundamental Theorem of Calculus
Applications of Integrals
13.4
13.5
WEEK # 14
M Nov 24
W Nov 26
Differential Equations
13.7
Thanksgiving Holiday
No class
WEEK # 15
M Dec 01
Functions of Several Variables
Partial Derivatives
14.1
14.2
W Dec 03
Extrema of Functions of Several Variables
14.3
WEEK # 16
W Dec 10
Final Exam from 7:30 pm to 9:30 pm
(Remember: 7:30 pm and not 7:00 pm)
The end
Page 6
The 6
previous
sections
(13.4-14.3)
FALL 2014 – Calculus with Applications - SHORT CALENDAR
WEEK
DAY
SECTIONS
WEEK
DAY
SECTIONS
1
Mon Aug 25
1.1, 1.2, 1.3
9
Mon Oct 20
Major Exam # 2
Wed Aug 27
2.3
Wed Oct 22
12.1
Mon Sep 01
Labor Holiday
Mon Oct 27
12.2
Wed Sep 03
3.7
Wed Oct 29
12.3
Mon Sep 08
4.1
Mon Nov 03
12.4
Wed Sep 10
4.3
Wed Nov 05
13.1
Mon Sep 15
Major Exam # 1
Mon Nov 10
13.2
Wed Sep 17
11.1
Wed Nov 12
13.3
Mon Sep 22
11.2
Mon Nov 17
Major Exam # 3
Wed Sep 24
11.3
Wed Nov 19
13.4, 13.5
Mon Sep 29
11.4
Mon Nov 24
13.7
Wed Oct 01
11.5
Wed Nov 26
Thanksgiving Day
Mon Oct 06
11.6
Mon Dec 01
14.1, 14.2
Wed Oct 08
11.7
Wed Dec 03
14.3
Mon Oct 13
11.8
Wed Oct 15
11.9
2
3
4
5
6
7
10
11
12
13
14
15
Wed Dec 10
8
16
Page 7
(7:30pm - 9:30pm
And NOT
7:00am - 9:00pm)
Final Exam