Math 1325 (MATH 28506)
Elements of Calculus with Applications
Houston Community College Fall 2014
Northwest College CRN: 28506
Math Department Math 1325: Elements of
Instructor: Hung Q. Dam Calculus with Applications
Phone: 832-798- 5983 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.
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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 :
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Course average = ( T1 + T2 + T3 + F ) ( 0.25 )
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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.
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COURSE CALENDAR: CALCULUS WITH APPLICATIONS
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SESSION DATE TOPICS SECTIONS
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WEEK # 1
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M Aug 25, 2014
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The real numbers |
1.1 |
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W Aug 27 |
Linear models |
2.3 |
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WEEK # 2
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M Sep 01
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Labor Holiday |
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W Sep 03
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Rational Functions |
3.7
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WEEK # 3
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M Sep 08 |
Exponential Functions |
4.1 |
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W Sep 10
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Logarithmic Functions |
4.3 |
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WEEK # 4 |
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M Sep15 |
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The 6 previous sections (1.1 – 4.3) |
W Sep17 |
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COURSE CALENDAR: CALCULUS WITH APPLICATIONS
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WEEK # 5
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M Sep 22 |
One-sided limits and limits involving Infinity |
11.2
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W Sep 24
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Rates of Change |
11.3 |
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WEEK # 6 |
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M Sep 29 |
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W Oct 01
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Techniques for finding Derivatives |
11.5 |
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WEEK # 7
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M Oct 06
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Derivatives of Produts and Quotients |
11.6 |
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W Oct 08
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The Chain Rule |
11.7 |
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WEEK # 8
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M Oct 13 |
Derivatives of Exponential and Logarithmic Functions |
11.8
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W Oct 15
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Continuity and Differentiability
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11.9
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Page 4 |
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COURSE CALENDAR: CALCULUS WITH APPLICATIONS
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WEEK # 9
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M Oct 20 |
Major Exam # 2
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The 9 previous sections (11.1-11.9) |
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W Oct 22
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Derivatives and Graphs |
12.1
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WEEK # 10 |
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M Oct 27 |
The Second Derivative |
12.2 |
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W Oct 29 |
Optimization Applications
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12.3 |
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WEEK # 11
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M Nov 03 |
Curve Sketching |
12.4 |
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W Nov 05 |
Antiderivatives |
13.1 |
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WEEK # 12
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M Nov 10 |
Integration by Substitution |
13.2
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W Nov 12 |
Area and Definite Integral
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13.3 |
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Page 5 |
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COURSE CALENDAR: CALCULUS WITH APPLICATIONS
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WEEK # 13
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M Nov 17 |
Major Exam # 3
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The 7 previous sections (12.1-13.3) |
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W Nov 19 |
The Fundamental Theorem of Calculus Applications of Integrals |
13.4 13.5 |
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WEEK # 14 |
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M Nov 24
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Differential Equations
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13.7 |
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W Nov 26 |
Thanksgiving Holiday
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No class |
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WEEK # 15 |
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M Dec 01
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Functions of Several Variables Partial Derivatives
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14.1 14.2 |
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W Dec 03 |
Extrema of Functions of Several Variables |
14.3
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WEEK # 16 |
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W Dec 10
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Final Exam from 7:30 pm to 9:30 pm (Remember: 7:30 pm and not 7:00 pm) |
The 6 previous sections (13.4-14.3) |
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The end
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FALL 2014 – Calculus with Applications - SHORT CALENDAR
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WEEK |
DAY |
SECTIONS
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WEEK |
DAY |
SECTIONS |
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1 |
Mon Aug 25 |
1.1, 1.2, 1.3 |
9 |
Mon Oct 20 |
Major Exam # 2 |
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Wed Aug 27 |
2.3 |
Wed Oct 22 |
12.1 |
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2 |
Mon Sep 01 |
Labor Holiday |
10 |
Mon Oct 27 |
12.2 |
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Wed Sep 03 |
3.7 |
Wed Oct 29 |
12.3 |
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3 |
Mon Sep 08 |
4.1 |
11 |
Mon Nov 03 |
12.4 |
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Wed Sep 10 |
4.3 |
Wed Nov 05 |
13.1 |
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4 |
Mon Sep 15 |
Major Exam # 1 |
12 |
Mon Nov 10 |
13.2 |
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Wed Sep 17 |
11.1 |
Wed Nov 12 |
13.3 |
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5 |
Mon Sep 22 |
11.2 |
13 |
Mon Nov 17 |
Major Exam # 3 |
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Wed Sep 24 |
11.3 |
Wed Nov 19 |
13.4, 13.5 |
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6 |
Mon Sep 29 |
11.4 |
14 |
Mon Nov 24 |
13.7 |
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Wed Oct 01 |
11.5 |
Wed Nov 26 |
Thanksgiving Day |
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7 |
Mon Oct 06 |
11.6 |
15 |
Mon Dec 01 |
14.1, 14.2 |
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Wed Oct 08 |
11.7 |
Wed Dec 03 |
14.3 |
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8 |
Mon Oct 13 |
11.8 |
16 |
Wed Dec 10 (7:30pm - 9:30pm 7:00am - 9:00pm) |
Final Exam |
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Wed Oct 15 |
11.9 |
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MATH 1325 Fall 2014 (28506) Syllabus