LURLEEN B. WALLACE COMMUNITY COLLEGE COURSE SYLLABUS CONTACT INFORMATION Instructor Name: Rachel Boothe Campus Location: Andalusia Office Location: ADM 214 Office Phone: 334-881-2285 Office Email: rboothe@lbwcc.edu Office Hours: separate handout/posted on office door Campus Mailing Address: LBWCC P.O. Box 1418 Andalusia, AL 36420 COURSE NUMBER AND TITLE MTH 125 Calculus I PREREQUISITES A minimum prerequisite of high school Algebra I, Geometry, and Algebra II with an appropriate mathematics placement score. An alternative to this is that the student should successfully pass with a C or higher MTH 113. DIVISION AND DEPARTMENT Math/Science Division, Math Department SEMESTER HOURSE CREDIT Four Hours CATALOG DESCRIPTION This is the first of three courses in the basic calculus sequence taken primarily by students in science, engineering, and mathematics. Topics include the limit of a function; the derivative of algebraic, trigonometric, exponential, and logarithmic functions; and the definite integral and its basic applications of area problems. Applications of the derivative are covered in detail, including approximations of error using differentials, maximum and minimum problems, and curve sketching using calculus. TEXTBOOK(S) A. Title/Edition: Thomas Calculus, 11th edition B. Authors: Weir, Hass, Giordano C. Publisher: Pearson D. Copyright: 2008 TECHNOLOGY REQUIREMENTS Knowledge of LBWCC website to access midterm and final grades.
TOOLS AND SUPPLIES Paper, writing utensil, calculator, textbook ((Students are not allowed to use cell phones as calculators in class or in lab.) (Students are not allowed to share calculators during tests or homework quizzes you must bring your own calculator) LEARNING OBJECTIVES UNIT ONE: Limits and Their Properties (Chapter 2) 1. Understand what calculus is and how it compares with precalculus, and understand that the tangent line problem and the area problem are basic to calculus. 2. Estimate a limit using a numerical or graphical approach and learn different ways that a limit can fail to exist. 3. Evaluate a limit using properties of limits, develop and use a strategy for finding limits, and evaluate a limit using dividing out and rationalizing techniques. 4. Determine continuity at a point and continuity on an open interval, determine one-sided limits and continuity on a closed interval, use properties of continuity, and understand and use the Intermediate Value Theorem. 5. Determine infinite limits from the left and from the right, and find and sketch the vertical asymptotes of the graph of a function. UNIT TWO: Differentiation (Chapter 3) Upon successful completion of this unit the student will be able to: 1. Find the slope of the tangent line to a curve at a point, use the limit definition to find the derivative of a function, and understand the relationship between differentiability and continuity. 2. Find the derivative of a function using the Constant Rule, find the derivative of a function using the Power Rule, find the derivative of a function using the Constant Multiple Rule, find the derivatives of the sine and cosine functions, and use derivatives to find rates of change. 3. Find the derivative of a function using the Product Rule, find the derivative of a function using the Quotient Rule, find the derivative of a trigonometric function, and find a higher-order derivative of a function. 4. Find the derivative of a composite function using the Chain rule, find the derivative of a function using the General Power Rule, simplify the derivative of a function using algebra, and find the derivative of a trigonometric function using the Chain Rule. 5. Distinguish between functions written in implicit form and explicit form and use implicit differentiation to find the derivative of a function. 6. Find a related rate, and use related rates to solve real-life application problems.
UNIT THREE: Application of Differentiation (Chapter 4) 1. Understand the definition of extrema of a function on an interval, understand the definition of relative extrema of a function on an open interval and find extrema on a closed interval. 2. Understand and use Rolle s Theorem, and understand and use the Mean Value Theorem. 3. Determine the intervals on which a function is increasing or decreasing and apply the first derivative test to find relative extrema of a function. 4. Determine intervals on which a function is concave upward or concave downward, find any points of inflection of the graph of a function, and apply the second derivative test to find relative extrema of a function. 5. Determine (finite) limits at infinity, determine the horizontal asymptotes, if any, of a graph of a function, and determine infinite limits at infinity. 6. Analyze and sketch the graph of a function. 7. Solve applied minimum and maximum problems. 8. Understand the concept of a tangent line approximation, compare the value of the differential, dy, with the actual change in y, and find the differential of a function using differentiation formulas. UNIT FOUR: Integration (Chapter 5) 1. Write the general solution of a differential equation, use indefinite integral notation for antiderivatives, use basic integration rules to find antiderivatives, and find a particular solution of a differential equation. 2. Use sigma notation to write and evaluate a sum, understand the concept of area, approximate the area of a plane region, and find the area of a plane region using limits. 3. Understand the definition of a Riemann sum, evaluate a definite integral using limits, and evaluate a definite integral using properties of definite integrals. 4. Evaluate a definite integral using the Fundamental Theorem of Calculus, understand and use the mean Value Theorem for integrals, find the average value of a function over a closed interval, and understand and use the Second Fundamental Theorem of Calculus. 5. Use pattern recognition to find an indefinite integral, use a change of variables to find an indefinite integral, use the General Power Rule for Integration to find an indefinite integral, and use a change of variables to evaluate a definite integral. UNIT FIVE: Logarithmic, Exponential, and Other Transcendental Functions (Chapter 7) 1. Develop and use properties of the natural logarithmic function, understand the definition of the number e, and find derivatives of functions involving the natural logarithmic function.
2. Use the Log Rule for Integration to integrate a rational function and integrate logarithmic functions 3. Verify that one function is the inverse function of another function, determine whether a function has an inverse function, and find the derivative of an inverse function. 4. Develop properties of the natural exponential function, differentiate natural exponential functions, and integrate natural exponential functions. 5. Define exponential functions that have bases other than e, differentiate and integrate exponential functions that have bases other than e, and use exponential functions to model compound interest and exponential growth. 6. Develop properties of the six inverse trigonometric functions, differentiate an inverse trigonometric function, and review the basic differentiation rules for elementary functions. 7. Integrate functions whose antiderivatives involve inverse trigonometric functions, use the method of completing the square to integrate a function, and review the basic integration rules involving elementary functions. 8. Develop properties of hyperbolic functions and differentiate and integrate hyperbolic functions. UNIT SIX: Differential Equations (Chapter 9) 1. Use initial conditions to find particular solutions of differential equations. 2. Use separation of variable to solve a simple differential equation and use exponential functions to model growth and decay in applied problems. 3. Recognize and solve differential equations that can be solved by separation of variables, and recognize and solve homogeneous differential equations. TEACHING METHODS Lecture-discussion primarily with problem sessions in class; lectures will be recorded by Tegrity which may be accessed via the internet for viewing outside of class. Student participation in the form of board work is encouraged. Use the following URL to access the lectures on Tegrity: http://tegrity.lbwcc.edu/tegrityutils/getcourselisting.asp?courseid=mth227-boothe ATTENDANCE POLICY Students are expected to attend all classes for which they are registered. Students who are unable to attend class regularly, regardless of the reason or circumstance, should withdraw from that class before poor attendance interferes with the student s ability to achieve the objective required in the course.
WITHDRAWAL A student may withdraw from a course or all courses without a grade penalty up to fourteen (14) days prior to the first day of final exams for the fall and spring terms. For the summer term, students may withdraw from classes up to seven (7) days prior to the first day of final exams for each session. The final date for official withdrawal is printed in the college calendar and published in each class schedule. A student who receives Title IV Federal Financial Aid (for example, Pell Grant) may have to repay funds if he/she withdraws prior to completing 60 percent of the semester. See the Director of Financial Aid for more specific information. EVALUATION PROCEDURES Each student s final grade will be determined as follows: 80% Tests See Tentative Schedule 20% Daily Grades any work, other than tests, that receives a grade (e.g., homework, quizzes, etc.) Grading Scale 90 100 A 80 89 B 70 79 C 60 69 D 0 59 F Gradebook The gradebook for this class is maintained on Teacherease. To access teacherease: 1. http://www.teacherease.com 2. Click Login 3. Type in: email address password MAKE-UP POLICY/LATE WORK Tests Students that are absent on the day a test is given must make arrangements with the instructor to makeup the test. The test must be made up before the next scheduled test. If the make up test is not taken prior to the next scheduled test, the student will receive a 0 for the missed test. It is the student s responsibility to initiate these arrangements. Regardless of the testing procedures used in class, all make up tests will be a traditional pencil and paper tests taken individually by the student making up the test. Students are responsible for any material missed during his/her absence. Therefore, each student present on test day will be required to take any scheduled test for that day regardless of prior absences.
Daily Grades Cannot be made up or accepted late. To accommodate factors beyond the control of the student, the lowest daily grade will be dropped. Homework Homework exercises are to be handed in on the day of the test on that material and will count as a daily grade. Homework grades are based on attempting the homework. Extra Credit You may write a two page, typed, double-spaced report on one of the mathematicians on the attached sheet for 5 points to be added to your lowest test grade. ACADEMIC HONESTY POLICY Students are expected to follow the Rules and Standards Governing Students as described in the current college catalog. Cheating and plagiarism violate these standards and may result in disciplinary action, including expulsion. POLICY ON REASONABLE ACCOMODATIONS FOR PEOPLE WITH DISABILITIES Lurleen B. Wallace Community College complies with section 504 of the Rehabilitation Act of 1973 and the American with Disabilities Act of 1990. If you have a disability that might require special materials, services, or assistance, or if you have any questions relating to accessibility, please contact the ADA Coordinator on the respective campuses in advance. For TDD users in Alabama, the Alabama Relay Center is available by calling 1-800-548-2546. All materials related to compliance with the Americans with Disabilities Act are maintained by the college coordinators. Andalusia Campus Greenville Campus MacArthur Campus Bridges Anderson Dr. Jean Thomason Jason Cain 334-222-6591 ext. 2247 334-382-2133 ext. 3102 334-493-3573 ext.5363 SAFETY Students are expected to follow all safety guidelines issued by the instructor. INCOMPLETE (I) GRADE A grade of Incomplete (I) may be assigned when the quality of work has been passing but the student has been prevented by illness or other justifiable cause from completing the required work or taking the final examinations. A student who must miss a final examination has the responsibility of notifying the instructor prior to the examination or as soon thereafter as possible and of furnishing acceptable evidence concerning the cause of the absence upon return. If the cause is personal illness, the student should present the instructor a statement signed by the appropriate health care professional. A grade of Incomplete (I) must be cleared by the last class day of the following term or the grade automatically becomes an F. It is the student s responsibility to contact the instructor and to make up missed course assignments and/or examinations.
OTHER Laptops Students cannot use laptops in class unless the ADA Coordinator indicates that one is needed. Cell Phone/Link/Pager/Blackberry/etc Use POLICY Cell phones/links/pagers are NOT PERMITTED to be used in the classroom. Please turn off all cell phones/links/pagers when in the classroom. Students may leave their cell phone on vibrate and take calls only in emergency situations and only when given prior permission by the instructor. Cell phones cannot be used as a calculator. 1. If a cell phone/link/pager/blackberry/etc rings/vibrates during class, the student has one of two options listed below. a. Option 1: The student must bring the cell phone to a desk at the front of the room designated by the instructor and leave it on the desk until the end of class. At the end of class, the student may pick up his/her cell phone. b. Option 2: The student must leave the class room with the cell phone and will not be allowed to return until the next day. The student will not be allowed to make up any missed work. 2. If a student is caught with a cell phone/link/pager/blackberry/etc in his/her hand during class, the student has one of two options listed below. a. Option 1: The student must bring the cell phone to a desk at the front of the room designated by the instructor and leave it on the desk until the end of class. At the end of class, the student may pick up his/her cell phone. b. Option 2: The student must leave the class room with the cell phone and will not be allowed to return until the next day. The student will not be allowed to make up any missed work. 3. If a student is behaving in such a way as to make the instructor even think he/she is using a cell phone/link/pager/blackberry/etc, then, even if the student is not using such a device, the student will have two options as listed below. a. Option 1: The student must bring the cell phone to a desk at the front of the room designated by the instructor and leave it on the desk until the end of class. At the end of class, the student may pick up his/her cell phone. b. Option 2: The student must leave the class room with the cell phone and will not be allowed to return until the next day. The student will not be allowed to make up any missed work. Children on Campus
State Board Policy 510.01: Safety and Security Each institution shall provide a safe environment for students, faculty, staff and other campus visitors. A person who is not a student, officer, or employee of the institution, who is not authorized by employment or by status as a student of the institution to be on campus or at any other facility owned, operated, or controlled by the governing board of the institution, or who does not have legitimate business on the campus or facility, or any other authorization, license, or invitation to enter or remain at the facility, or anyone who is committing any act tending to interfere with the normal, orderly, peaceful, or efficient conduct or activities of such facility, may be directed by an official of the institution to leave the campus or facility. If the person fails to do so, trespass charges may be made by the appropriate local law enforcement agency or court. LBWCC College Policy: Children on Campus The College is committed to maintaining an environment that contributes to its educational mission as well as the safety, health, and well-being of all students and other persons on the campus. Therefore, to minimize distractions in the classroom and ensure safety, children are only permitted on campus to attend specific programs (e.g., Day Care Program or Kid s College) or athletic events accompanied by adults. LBWCC students must not bring children to classes or leave them unsupervised on campus while attending classes. LBWCC Faculty Handbook 8/18/2009 These policies confirm that children are not allowed on campus, except to attend specific programs (e.g. Kid s College) or athletic events accompanied by adults. Extra help is available to students through the TARGET program, Adult Basic Education and the tutors provided by the Math Department. For references or more information, please see the instructor. Additional course information may be announced by the instructor, and the instructor may make changes to this syllabus. See attached sheet for tentative schedule.
My signature indicates that I have received the course syllabus and understand its contents. Print Name Signature Date Email address (required for access to teacherease) If you don t have an email address, you can get one for free via hotmail or yahoo. Revised 8/12/2010