Calculus I
SYLLABUS FOR MATH 2413
CRN: 28611
Mondays/Wednesday, 7:00 – 9:00
Room C258
Instructor: Morales, Warren
Contact Information: warren.morales@hccs.edu
Phone: 713-560-7951
Important Dates:
 Monday, September 3, 2012 (Labor Day Holiday – No Class)
 Friday, November 2, 2012 (Last Day to Withdraw from Class)
 Wednesday, November 21, 2012 (Thanksgiving Break – No Class)
 Wednesday, December 5, 2012 (Last Day of Instruction)
 Monday, December 10, 2012 (Final Exam, 5:30 – 7:30 pm)
Catalog Description: Calculus I. An integrated study of differential calculus with analytic geometry
including the study of functions, limits, continuity, differentiation, and an introduction to integration.
Prerequisite: MATH 2412 or consent of the Department Head. 4 credit (4 lecture). The prerequisite for
this course is Math 2412 pass with a “C” or better, or consent of the Department Head.
Audience: This course is a freshman level mathematics course which requires a background consisting of
Math 2412. This course provides the background in mathematics for sciences or further study in
mathematics and its applications.
Course Objectives: Upon completion of this course, a student should be able to:
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
Describe the basic concepts of mathematical functions and the various types of functions, which exist.
Demonstrate knowledge of the concept of the limit of a function at a point and the properties such
limits possess.
Demonstrate knowledge of the idea of continuity of a function
Differentiate various types of mathematical functions and know the meaning of the various orders of
the derivatives including applications.
Recognize the discontinuity points of certain types of elementary functions.
Differentiate the trigonometric functions with applications.
Use calculus to sketch the curves of certain types of elementary functions
Demonstrate the ability to find antiderivatives involving polynomial and trigonometric functions.
Demonstrate the ability to evaluate a definite integral using Riemann sums.
Demonstrate the ability to compute the average value of a function over an interval.
Demonstrate an understanding of the Fundamental Theorem of Calculus.
Solve applied problems using definite integrals.
Find indefinite integrals with a change of variable.
Find the area of regions under curves using methods which include the Trapezoidal Rule and
Simpson’s Rule.
Textbook: Calculus, by Larson, Hostetler, and Edwards, Ninth Edition. Brooks/Cole, Cengage Learning,
2010.
Math 2413
Departmental Policies:
1.
2.
3.
4.
The final exam is comprehensive and questions on it can deal with any of the course objectives.
A minimum of four tests and a comprehensive final examination will be given. The final examination
must be taken by all students.
The final exam will count for at least 25% of the final grade.
The final course average will be used in the usual manner (90-100 “A”; 80-89 “B”; 70-79 “C”;
60-69 “D”; Below 60 “F”).
APPROXIMATE TIME
TEXT REFERENCE
Unit I - Limits and Their Properties
Sections: 1.1, 1.2, 1.3,
1.4, 1.5
This unit presents the concept of limits and how it relates to Calculus. The instructor should present the
formal definitions of the limit and continuity and discuss the characteristics of a continuous function.
Graphical and analytical methods of evaluating limits, including one-sided limits and limits at infinity
should be emphasized as well.
Unit 2 - Differentiation
Sections: 2.1, 2.2, 2.3,
2.4, 2.5, 2.6
This unit presents an introduction to differentiation. The instructor should emphasize the derivative and the
tangent line problem, basic differentiation rules and rates of change, the product and quotient rules, higherorder derivatives, and the chain rule. This unit concludes with implicit differentiation and related rates.
Unit 3 - Applications of Differentiation
Sections: 3.1, 3.2, 3.3,
3.4, 3.5, 3.6, 3.7, 3.8, 3.9
This unit includes the various applications of differentiation. The instructor should emphasize extrema on
an interval, Rolle’s Theorem and the Mean Value Theorem, increasing and decreasing functions, the first
derivative test, concavity and the second derivative test, limits at infinity, a summary of curve sketching,
optimization problems, and Newton’s Method. This unit concludes with differentials and linear
approximations.
Unit 4 - Integration
Sections: 4.1, 4.2, 4.3,
4.4, 4.5, 4.6
This unit includes the basic concepts of integration. The instructor should emphasize antiderivatives and
indefinite integration, area, Riemann Sums and definite integrals, the fundamental theorems of calculus, and
integration by substitution. This unit concludes with numerical integration methods.
Test
Test #1
Test #2
Test #3
Test #4
Final Exam
Date
Wednesday, September 12
Monday, October 1
Monday, November 12
Monday, December 3
Monday, December 10, 5:30 – 7:30
2
Math 2413
DAY #
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
DATE
August 27
August 29
September 5
September 10
September 12
September 17
September 19
September 24
September 26
October 1
October 3
October 8
October 10
October 15
October 17
October 22
October 24
October 29
October 31
November 5
November 7
November 12
November 14
November 19
November 26
November 28
December 3
December 5
December 10
SECTION
1.2, 1.3
1.4
1.5
2.1
Test 1
2.2
2.3
2.4
2.5
Test 2
2.6
3.1
3.2
3.3
3.4
3.5
3.6
Test 3
3.7
3.8
3.9
4.1
4.2
4.3
4.4
4.5
Test 4
Review
Final Exam, 5:30 – 7:30
3
Math 2413
General Grading Rubric:
In free-response qestions on a test, problems will be worth 3, 4 or 5 points. The rubric for grading is given
below.
Meaning
Out of 3
Out of 4
Superior
3
4
Out of
5
5
3
4
Satisfactory
Satisfactory,
With
Minor Flaws
2
2
3
Satisfactory,
With
Major Flaws
1
1
2
Unsatisfactory
0
0
0–1
4
Student shows understanding of the concept by:
 Having fewer than 2 minor errors
 Providing a clear, logical and complete process
 Providing evidence of checking and/or alternate
representation
 Using creative, appropriate strategies
 Exceeding the minimum requirements of the task
Student shows understanding of the concept by:
 Having 2 to 3 minor errors, but correct process
 Providing a logical and complete process but
lacking clarity
 Using appropriate strategies
 Satisfying the requirements of the task
Student shows understanding of the concept by:
 Using appropriate strategies
 Showing work, but process haphazard
 Writing an explanation that is mainly clear, but may
show some gaps
 Satisfying some elements of the task
Student shows rudimentary understanding of the concept
by:
 Providing haphazard, illogical, or unclear work
 Not checking work
 Writing an explanation that did not connect to the
problem or the solution
 Answering only (without supporting work)
 Satisfying few elements of the task
Student shows little or no understanding of the concept
by:
 Attempting the problem, but no idea
 Not using a recognizable process
 Calculating incorrectly
 Using inappropriate charts and graphs
 Satisfying no elements of the task
Math 2413
Student Resource Materials: Any student enrolled in Math 2413 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. Online tutoring is available at http://www.hccs.askonline.net. Also available is
a Student’s Solutions Manual which may be obtained from the Bookstore.
Americans With Disabilities Act (ADA): 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 the respective college at the beginning of
each semester.
EGLS3 -- Evaluation for Greater Learning Student Survey System
At Houston Community College, professors believe that thoughtful student feedback is necessary to
improve teaching and learning. During a designated time, you will be asked to answer a short online survey
of research-based questions related to instruction. The anonymous results of the survey will be made
available to your professors and division chairs for continual improvement of instruction. Look for the
survey as part of the Houston Community College Student System online near the end of the term.
5