MAT
130 – Elementary Calculus
Mathematics Department
Semester: Spring 2009
Catalog Course Description: This course includes the following topics: differentiation and integration of polynomial, rational, logarithmic and exponential functions; and interpretation and application of these processes.
Prerequisite(s): MAT 110
Credit Hours: 3.0 Credit Hours
Departmental Website: http://www.midlandstech.edu/math/mathhome.htm
Instructor: Kari Beaty
Office: RO 211
Telephone: (803) 822-3445j
E-mail: beatyk@midlandstech.edu
Campus Mailbox: RO 105
Departmental Assistant: Mitzi Trigg – TriggM@MidlandsTech.edu – 738-7689
Department Chair: Rick Bailey – BaileyR@MidlandsTech.edu – 738-7618
Program Coordinator: Rose Jenkins – JenkinsR@MidlandsTech.edu – 822-3351
Class Schedule[s]: [Section number, Day, Time, Place]
Office Hours: MW 1:30 - 3:30pm, F 9 - 11am
Textbook(s): Brief Calculus, An Applied Approach, 8th Edition, by Ron Larson and Bruce Edwards, Houghton Mifflin Company, 2009
Equipment: Graphing Calculator, TI-84 or TI-84+
Course Objectives: Upon completion of this course the student will be able to:
1. Evaluate limits for algebraic functions.
2. Evaluate derivatives of algebraic functions
· Power Rule of algebraic functions
· Product Rule of algebraic functions
· Quotient Rule of algebraic functions
· Chain Rule of algebraic functions
3. Solve problems in which the derivative is interpreted as a slope, rate of change, velocity, acceleration, etc.
4. Use properties of the first and second derivative as an aid in curve sketching.
5. Solve maximum - minimum problems.
6. Differentiate logarithmic and exponential functions and apply this to solve growth and decay problems.
7. Integrate using basic formulas and the techniques of substitution and integration by parts.
8. Integrate to find areas under a curve and between two curves.
Course Outcomes and Competencies:
Intended Course Outcome: Students should be able to understand and apply computational skills, quantitative reasoning and symbolic reasoning to evaluate and solve problems systematically.
Course Competency: Students should be able to solve mathematical problems by identifying what information is available and relevant to the problem; by selecting or developing appropriate procedures and relationships; by correctly applying the methods selected to the information available; and by verifying the validity and appropriateness of the solution.
Performance Measurement Instrument: Students will be given four applied mathematical problems to solve selected by the Mathematics Department to measure successful attainment of the competency. These problems will be embedded within student quizzes and tests. A student correctly solving 3 out of 4 of the problems will be considered to have successfully attained the competency. The goal is for 80% of the students completing the assessment to successfully attain the competency.
Course Attendance:
ABSENCE - Failure to be present for a scheduled meeting of the class or arriving for the class more than ten minutes after the scheduled time for the class to begin.
TARDY --- Arrival to class after the instructor has called the roll and before ten minutes past the time scheduled for the class to begin.
I. Absences are counted from the first day of classes.
II. Three absences are allowed for a class that meets two times per week.
III. Three tardies are considered as one absence. The student must meet with the instructor at the end of the class to which he has been late to have the absence changed to a tardy.
IV. There are no "excused" absences; all absences are counted, regardless of the reason for the absence.
V. A student missing class time by leaving early will also be counted absent.
Please note the following: You are responsible for all material and announcements presented, whether you are present or absent.
Withdrawal: Should the maximum allowable absences be exceeded prior to midterm, a "W" will be submitted to the registrar to be recorded on the student's transcript. Should the maximum allowable absences be exceeded after midterm, a "W" will be submitted to the registrar if the student was passing the course at the time of withdrawal OR a "WF" will be submitted if the student was failing the course at the time of withdrawal.
Course Requirements: [Insert course specifics: projects, papers, quizzes, tests, etc. as well as any instructions needed]
[Include provisions for make up work]
Course Grading: [Include how course requirements are graded] [Include penalties for late work if applicable]
Grading Scale: 90-100 A Superior Work
80-89 B Good Work
70-79 C Average Work
60-69 D Below Average Work
0- 59 F Unsatisfactory Work
Classroom Rules/Other: [Delete if none or expand as needed]
(The following may begin on a separate page)
Course Topic Outline/Course Calendar with Assignments:
|
WEEK |
TOPIC |
TEXT REF. |
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1 |
Functions, Graphs, and Limits |
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Limits |
1.5 |
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Continuity |
1.6 |
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Differentiation |
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The Derivative and the Slope of a Graph |
2.1 |
|
2 |
Some Rules for Differentiation |
2.2 |
|
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Rates of Change: Velocity and Marginals |
2.3 |
|
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The Product and Quotient Rules |
2.4 |
|
3 |
The Chain Rule |
2.5 |
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Higher Order Derivatives |
2.6 |
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Implicit Differentiation |
2.7 |
|
4 |
Related Rates |
2.8 |
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TEST 1 |
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5 |
Applications of the Derivative |
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Increasing and Decreasing Functions |
3.1 |
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Extrema and the First-Derivative Test |
3.2 |
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Concavity and the Second-Derivative Test |
3.3 |
|
6 |
Optimization Problems |
3.4 |
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Business and Economics Applications |
3.5 |
|
7 |
Asymptotes |
3.6 |
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Curve Sketching: A Summary |
3.7 |
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Differentials and Marginal Analysis |
3.8 |
|
8 |
TEST 2 |
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Exponential and Logarithmic Functions |
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Exponential Functions |
4.1 |
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Natural Exponential Functions |
4.2 |
|
9 |
Derivatives of Exponential Functions |
4.3 |
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Logarithmic Functions |
4.4 |
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Derivatives of Logarithmic Functions |
4.5 |
|
10 |
Exponential Growth and Decay |
4.6 |
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TEST 3 |
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Integration and Its Applications |
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Antiderivatives and Indefinite Integrals |
5.1 |
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11 |
Integration by Substitution and the General Power Rule |
5.2 |
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Exponential and Logarithmic Integrals |
5.3 |
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Area and the Fundamental Theorem of Calculus |
5.4 |
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12 |
The Area of a Region Bounded by Two Graphs |
5.5 |
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The Definite Integral as the Limit of a Sum (optional) |
5.6 |
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13 |
Techniques of Integration |
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Integration by Parts and Present Value |
6.1 |
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Partial Fractions and Logistic Growth |
6.2 |
|
14 |
Integration Tables |
6.3 |
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TEST 4 |
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COMPREHENSIVE FINAL EXAM |
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[If controlled by instructor; otherwise delete statement] PLEASE NOTE: Should change become necessary, the instructor reserves the right to adjust the requirements, pace, or scheduling of this course. Any change will be announced in class before it becomes effective.

College Policies
Students are expected to read the student handbook and abide by its policies. Copies of the
handbook may be obtained at various locations on campus and is located on the web: http://www.midlandstech.edu/planner/
Academic Dishonesty: The Student Code addresses what constitutes academic dishonesty. All forms of dishonesty including, but not limited to, cheating on tests, plagiarism, collusion and falsification, will call for discipline.
CHEATING ON TESTS includes:
§ Copying from another student’s paper.
§ Using materials during a test not authorized by the person giving the test.
§ Collaborating with any other person during a test without permission.
§ Knowingly obtaining, using, buying, selling, transporting, or soliciting in whole or part the contents of any un-administered test.
§ Bribing any other person to obtain information about tests.
§ Substituting for another student, or permitting another student to substitute for oneself.
PLAGIARISM is the appropriation of any other person’s work and unacknowledged
incorporation of that work in one’s own work offered for credit.
Campus Emergency Protocol: Students and employees are asked to report safety concerns or suspicious activities to Campus Security at 7199 (on campus) or 738-7199 (cell phone or off campus). In the event of an emergency, employees and/or students should immediately call Campus Security or local 911. If an emergency occurs, the college will use a variety of methods to communicate additional information and instructions including the MTC Information Centers, campus loud speakers, MTC Alerts! (http://www.midlandstech.edu/Phone_Alert.
htm),voice mail, email, college Intranet, and the MTC website homepage.
Inclement Weather Policy: In the event weather conditions or other emergencies cause the closing or a delayed start of Midlands Technical College, announcements will be made over local radio and TV stations, on the MTC Web site, and on the college’s information line (803-738-8234). Notices will be sent to students via Campus Cruiser Mail when applicable. Separate announcements may be made for day and evening classes as weather conditions change during the day.
If the college closing or reopening means that there is at least 30 minutes of a class remaining, plan to attend that class. For example, if the college opens at 10:00 a.m. in TTH, classes that normally meet at 8:00 a.m. will not meet, but classes beginning at 9:30 a.m.will meet. If the college closes at 8:00 p.m., 6:00 p.m. classes will meet for their regular time, but 7:35 p.m. classes will not meet since there are fewer than 30 minutes remaining in class.
Student E-Mail Accounts: All MTC students are assigned a college e-mail account upon admission to the college. This account is called “Campus Cruiser Mail.” Campus Cruiser Mail is the primary mode by which the college communicates with students. Students are responsible for checking their college e-mail on a regular basis for important information and announcements about registration, financial aid, cancelled classes, emergency announcements and other notices. Students can use their college e-mail accounts to communicate with faculty, staff, fellow students, and others, in support of their educational pursuits. In addition to e-mail, students will also have access to maintaining personal calendars and “tasks lists” through their Campus Cruiser e-mail account.
Student Evaluation of Instruction: Students have the opportunity to evaluate this course. The confidential evaluation process is conducted through MTC Online using the individual student’s username and password. Announcements will be made during the term concerning how and when to complete the online evaluation. Students are encouraged to participate in this process.
Students Requiring Special Accommodations: If special accommodations are needed for a student with a disability, the student should go to Counseling Services on Beltline or Airport Campus for assistance. Documentation regarding a specific disability is required in order for special arrangements to be made. Confidentiality of information received will be maintained.