Calculus I
SYLLABUS FOR MATH 2413
CRN: 65956
Mondays/Wednesday, 5:00 – 7:00
Room C258
Instructor: Morales, Warren
Contact Information: warren.morales@hccs.edu
Phone: 713-560-7951
Important Dates:
 Monday, September 2, 2013 (Labor Day Holiday – No Class)
 Friday, November 1, 2013 (Last Day to Withdraw from Class)
 Wednesday, November 27, 2013 (Thanksgiving Break – No Class)
 Wednesday, December 4, 2013 (Last Day of Instruction)
 Monday, December 9, 2013 (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 11
Wednesday, October 2
Monday, October 28
Monday, December 2
Monday, December 9, 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 26
August 28
September 4
September 9
September 11
September 16
September 18
September 23
September 25
September 30
October 2
October 7
October 9
October 14
October 16
October 21
October 23
October 28
October 30
November 4
November 6
November 11
November 13
November 18
November 20
November 25
December 2
December 4
December 9
SECTION
1.2, 1.3
1.4
1.5
2.1
Test 1
2.2
2.3
2.4
2.5
2.6
Test 2
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
Grading
Tests and Quizzes: There will be four tests each worth 100 points. There will also be approximately 10
quizzes (unannounced) during the first 10 minutes of class. The quizzes will be averaged and will amount
to a test score. The test/quiz grade will count for 75% of the semester grade.
Final Exam: There will be cumulative final exam worth 25% of the semester grade.
Keep Track:
POSSIBLE SCORE
MY SCORE
Test 1 =
100
Test 1 =
__________
Test 2 =
100
Test 2 =
__________
Test 3 =
100
Test 3 =
__________
Test 4 =
100
Test 4 =
__________
Quiz Avg =
100
Quiz Avg =
__________
Formula for calculating your average: (Test/Quiz Avg)*0.75 + (Final Exam)*0.25 = Semester Avg.
3
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.
4