CRN (20484) MATH 2413- 001 Calculus I MWF 8:00 - 9:15, Rm A – 21 Spring 2012 Instructor: Gary Ivy Phone: 979-830-4434 Office: A-21 Office Hours: E-mail: givy@blinn.edu MW 1:20 – 4:00, TR 10:30 -11:50, 1:10 - 4:00 Course Description: Calculus I is the study of limits, differentiation of algebraic and transcendental functions, implicit differentiation, rates and related rates of change, applications of the derivative, differentials, antiderivatives, definite integrals applications of the definite integral. Four class hours per week. Credit: Four semester hours. Prerequisites: MATH 2412 with a C or better, or Math 1414 and Math 1316 with a C or better, or consent of the mathematics department. Core Course: This is a Core Course in the 42-Hour Core of Blinn College. As such, students will develop proficiency in the appropriate Intellectual Competencies, Exemplary Educational Objectives, and Perspectives. Use the following URL to link to the Blinn College Core Curriculum web-site. www.blinn.edu/corecurriculum Course Objectives: The student should maintain at least a 70% average on all student learning comes. Student Learning Outcomes as defined by the Master Course Syllabus At the completion of the course, the student will: be able to find secant slopes and average velocity. be able to define a limit, find a limit including infinity, and define and use the concept of continuity. be able to find derivatives of polynomial functions, trigonometric functions, inverse trigonometric functions, logarithmic functions, exponential functions, and hyperbolic functions. be able to apply the product, power, and quotient rules in finding the derivative of functions. be able to apply the chain rule, use implicit differentiation, find higher order derivatives, differentials and linear approximations. be able to set up and solve related rate problems. be able to find maxima and minima of a function, find points of inflection, and apply Rolle's and the Mean Values theorems. be able to locate horizontal and vertical asymptotes, and apply all previous concepts to sketching polynomial, trigonometric, and rational functions. be able to solve applied max and min problems and find general and particular antiderivatives. be able to sketch, find limits of, and finds derivatives of exponential and logarithmic functions. be able to use summation notation, find approximations to definite integrals, use the Fundamental Theorem of Calculus, use the properties of definite integrals, find the area under a curve. be able to apply the substitution principal to finding definite integrals. Required Materials: Textbook: Calculus, Early Transcendental Functions, by Larson/Edwards, 5th edition, Cengage, Copyright 2011, ISBN: 978-0-538-73550-6. This course requires a WebAssign Student Access Code. The access code is bundled with new textbooks purchased in the Blinn book store, otherwise access can be purchased online from WebAssign. When you register for my course in WebAssign you will need a class key: blinn 7374 7434 code for this particular course. I will give you another handout with information on how to register for my class in WebAssign. Additional materials and supplies are homework notebook, lecture notes notebook, pencil, straight edge, graph paper, flash drive, and a graphing calculator (see paragraph below). Calculator Policy: A graphing calculator is not required in this course, but a TI-84 calculator will be used for any classroom demonstrations. Other calculators may be used, however, the student is responsible for learning how to operate them. Symbolic calculators such as the TI-89 and the TI-92 will not be allowed. There will be restricted use of calculators on quizzes and exams. Grading Policy: Calculation of final grade: 3 Major Exams - 50% Final Exam - 20% Weekly Quizzes - 15% Maple Computer Labs - 5% WebAssign Problems 10% The final grade will be calculated as follows. Final numerical grade = 0.5 x (average of major exam grades) + 0.2 x (final exam grade) + 0.15 x (average of weekly quizzes) + 0.05 x (average of computer labs) + 0.1 x (WebAssign Average) Below are the letter grades that correspond to a given final numerical average. [89.5-100] <-> "A" [79.5-89.5) <-> "B" [69.5-79.5) <-> "C" [59.5-69.5) <-> "D" [0-59.5) <-> "F" Weekly Quiz: A quiz is a short exam that will be given each Friday during the last 15 minutes of class. The only exception to this rule is that no quiz will be given during a week that has a major test. All quizzes will be taken from sections completed in class since your most recent quiz or major test. In addition to the handout quiz I will also take up a homework assignment chosen at random from one of the sections that the quiz covers to count as one of the quiz problems. Each quiz that is given will be graded on the basis of 100 points for a perfect score. At the end of the semester, I will calculate a single score called your quiz average. The quiz average will be determined by dropping your lowest quiz grade and then finding the mean (average) of the remaining scores. Homework consist of the problems listed on your homework assignment sheet (last two pages of this memo). Work out these problems from the textbook with paper and pencil to turn in with each weekly quiz. One section’s homework will be selected at random from the sections that the quiz covers to be turned in with and become a part of each Friday’s quiz grade. WebAssign Work: WebAssign work consist of problems that I have selected for you to do on-line. WebAssign problems are similar to homework problems but with helpful hints if you have trouble working the problem. In fact, if you miss a problem, you can regenerate a similar problem, work it, and then get credit for the problem. Remember that your WebAssign average counts as 10% of your semester grade. I recommend working your WebAssign problems before attempting the homework problems from the text. Usually the experience you gain here makes the textbook homework easier to do. Maple Computer Labs: Maple computer labs will be assigned during the semester. There are two Maple computer lab locations. They are the Learning Center in room 13 in the Academic Building and the open lab found in the Bullock (Business) Building. Ask the attendant which computers have Maple Software installed on them before you sit down at a computer. Please see the bottom of the next page for times when the Learning Center and the Bullock Lab are open. You will need a memory stick to use in storing your lab results. Each assigned problem set that you work should be saved and the results printed out with your name typed at the top to be turned in. Be sure to use complete sentences in describing your results. FOR EXAMPLE: IF THE PROBLEM ASK YOU TO FIND THE HIGHEST POINT ON THE GRAPH, THEN AFTER YOU HAVE HAD MAPLE GENERATE THE RESULTS, GO TO TEXT MODE AND TYPE THE HIGHEST POINT OF THE GRAPH OF THE FUNCTION IS (X,Y) EXCEPT REPLACE X AND Y WITH THE COORDINATES WHERE IT REACHED THE HIGHEST POINT. WHEN STARTING A NEW PROBLEM, BE SURE TO GO TO TEXT MODE AND TYPE IN THE PROBLEM NUMBER. IF YOU DO NOT DO THE ABOVE, EXPECT TO HAVE POINTS TAKEN OFF EVEN THOUGH YOU MAY HAVE THE RIGHT ANSWER. If you have trouble with any of the non-mathematical aspects of using the computer, ask the lab assistant for help. If you have trouble working in Maple and getting the results you need, save your work and bring your memory stick by my office during office hours and I will help you with your problems. Many times the problem is a parenthesis or semi-colon that has been left off. Make-up Policy: If you have an approved excuse for missing a quiz, you must take a replacement quiz within two weeks from the day you return to class following this excused absence or receive a zero for this quiz. This make-up quiz must be taken during my office hours. No make-up quiz will be given when a quiz is missed due to an unexcused absence. Any major test that you miss due to an unexcused absent will be given a grade of zero. A comprehensive replacement exam" will be given on Monday, April 30, in room A-16 from 4 to 6:00 PM which, if taken, will replace your lowest major exam grade provided it improves your average. Accommodations for Students with Disabilities: Blinn College is dedicated to providing the least restrictive learning environment for all students. Support services for students with documented disabilities are provided on an individual basis, upon request. Requests for services should be made directly to the Office of Disability Services serving the campus of your choice. For the Bryan campus, the Office of Disability Services (Administration Building) can be reached at (979)2097251. The Brenham, Sealy and Schulenburg campuses are served by the Office of Disability Services on the Brenham campus (New Administration Building Room 104) and can be reached at (979)830-4157. Additional information can be found at www.blinn.edu/disability. Attendance Policy: The College District believes that class attendance is essential for student success; therefore, students are required to promptly and regularly attend all their classes. Each class meeting builds the foundation for subsequent class meetings. Without full participation and regular class attendance, students shall find themselves at a severe disadvantage for achieving success in college. Class participation shall constitute at least ten percent of the final course grade. It is the responsibility of each faculty member, in consultation with the division chair, to determine how participation is achieved in his or her class. Participation in the Division of Mathematics is measured by quizzes and homework assignments, which count at least ten percent of the of the semester grade. If a student has the equivalent of one week’s worth of unexcused absences during the semester, s/he will be sent a message to her/his Blinn e-mail account by the College requiring the student to contact her/his instructor and schedule a conference immediately to discuss her/his attendance issues. Should the student accumulate the equivalent of two weeks’ worth of unexcused absences, s/he will be administratively withdrawn from class. For a MWF class students will receive the first notification via Blinn student email after 3 days of unexcused absences and a 2nd notification via Blinn student email after 6 days of unexcused absences. If a student is dropped from a class prior to the “Q” date (April 13), they will receive a “Q” in the class. When the student is administratively dropped after the “Q” date, students will receive a “QF” as stated in current policy. Students will be able to access their Student email account by logging into BORIS. Arriving late, walking out during class, or leaving early is unacceptable, disruptive, and disrespectful. Students are considered to be in attendance if they are present at roll call and stay until class is dismissed by the instructor. If a student is tardy to class, it is the student’s responsibility to stay around after class is dismissed and politely request that his/her absence be changed to a tardy. The last day to drop with a Q grade (No Penalty) is Friday, April 13, 2012. If you drop after April 13, you will receive a QF. A grade of QF is equivalent to a grade of F. Students are considered to be in attendance for class if they are present at roll call at the being of the period and stay until the end of class. All tests and quizzes not taken will be given a grade of zero when the absence is unexcused. Students are not assessed absences when representing Blinn College. If you will be representing Blinn College or you will be absent due to a religious holy day and you will miss a test or quiz, I will make other arrangements with you to take the test/quiz. Please see me before the test/quiz, if this situation applies to you. Class days missed due to inclement weather will be made up as appropriate. Civility Statement: Members of the Blinn College community, which includes faculty, staff and students, are expected to act honestly and responsibly in all aspects of campus life. Blinn College holds all members accountable for their actions and words. Therefore, all members should commit themselves to behave in a manner that recognizes personal respect and demonstrates concern for the personal dignity, rights, and freedoms of every member of the College community, including respect for College property and the physical and intellectual property of others. If a student is asked to leave the classroom because of uncivil behavior, the student may not return to that class until he or she arranges a conference with the instructor: it is the student's responsibility to arrange for this conference. Electronic Device Policy: All the functions of all personal electronic devices designed for communication and/or entertainment (cell phones, pagers, beepers, iPods, and similar devices) must be turned off and kept out of sight in all Blinn College classrooms and associated laboratories. Any noncompliance with this policy will be addressed in accordance with the Blinn College civility policy (Administrative Policy). Additionally, any communication understood by the instructor to be in the nature of cheating will have consequences in accordance with this Blinn College policy section regarding academic dishonesty [FLB (Local)]. Students exempted from this policy section include, active members of firefighting organizations, emergency medical services organizations, commissioned police officers, on-call employees of any political subdivision of the state of Texas, or agencies of the federal government. Exempted students are expected to set the emergency-use devices on silent or vibrate mode only. Classroom Policy: No food, drinks or tobacco products are allowed in the classroom. The policy on scholastic dishonesty and classroom discipline will follow the policies adopted by Blinn College. For more information please see “Scholastic Integrity Policy” from the 2011-2012 Blinn College Student Handbook. Academic Support: For help on homework please come by to see me during my office hours Learning Center Hours: Mon - Thurs. 8:00 AM to 9:00 PM Fri. 8:00 AM to 4:00 PM Sun. 5 PM to 9 PM Bullock Computer Open Lab: Mon. – Thurs. 7:45 AM to 9:00 PM Fri. 7:45 AM to 4:00 PM Sun 5 PM to 9 PM Tentative Daily Schedule for Calculus I Math 2413-001 MWF 8:00-9:15 The starred problems listed under Assignment are problems found in your textbook only with no similar problem to it in WebAssign. WebAssign problems are to be worked on computer. All problems listed below under Assignment are problems from the textbook that you are to work with pencil and paper to be ready to turn in with each Friday’s Quiz. The Friday Quiz average counts 15% of your semester grade. If you work the WebAssign problems first, where you can get helpful hints or rework a similar problem if you miss the problem, you will be more successful in working the assigned problems from the text that are from the same section. Date Jan. 18 20 Section Page Assignment WebAssign Orientation (on-line) 2.2 Finding Limits 74 1, 3, 5, 7, 19, 20, 26, 27, 28, 31 Graphically/Numerically 2.4 Continuity and One-Sided Limits 2.5 Infinite Limits 3.1 The Derivative and the Tangent Line 98 9, 11, 17, 21, 30, 32, 35*, 39*, 41, 53, 57*, 58, 59*, 60, 63, 67, 70, 71, 91, 92* 2, 4*, 5, 8, 10, 14, 18, 30, 48, 58, 69, 103 108 8, 17, 20, 27, 28, 46, 48, 50, 54, 56 123 1, 11, 14, 17, 21, 25, 29, 30, 35, 73, 84 Feb. 1 3.2 Basic Differentiation Rules 136 2, 3, 8*, 9, 13, 19*, 24,34, 35*, 36, 45, 48*, 52, 58*, 59, 66 3 3.3 Product and Quotient Rules 147 1*, 5*, 6*, 7, 8*, 12, 28, 43*, 49, 55*, 66*, 73, 76, 79, 89, 91*, 97, 101*, 104, 105, 116 6 3.4 The Chain Rule 161 8 3.4 The Chain Rule 161 3.5 Implicit Differentiation 171 1, 2, 3*, 5*, 6, 7*, 10, 13, 18, 24, 25, 29*, 34, 57, 58, 61*, 71*, 72, 77*, 83*, 87*, 90, 97, 111, 131, 133*, 136, 137*, 141*, 143, 167 4, 6, 8, 11*, 12, 17, 40, 60*, 63M*, 66M*, 69, 74, 102 23 25 27 30 10&13 2.3 Evaluating Limits Analytically 87 15 Exam 1 (2.2 – 3.4) 17 3.6 Derivatives of Inverse Functions 179 23, 32, 34, 49, 67(a)*, 69 20 3.7 Related Rates 187 16, 18, 20, 21, 23, 25, 26, 30, 33, 47, 49 22 3.8 Newton’s Method 195 7, 17, 18, 22, 25 24 4.1 Absolute Extrema 209 4, 5, 13, 15, 25, 28, 30, 33, 35, 36 27 4.2 Rolle’s Theorem 4.3 Increasing & Decreasing Functions; Relative Extrema 216 5, 8, 12, 20, 36*, 38*, 43, 70, 86*, 91* 226 5, 23, 25, 30, 31, 42, 83 4.4 Concavity 235 9, 13, 21, 22, 49, 53, 54, 55, 66 4.5 Limits at Infinity 245 2, 3, 4, 14, 16, 19, 25, 28, 35, 38 4.6 Curve Sketching 255 2, 4, 21, 23, 25, 28, 29, 31*, 33 19 4.7 Optimization Problems 265 1, 2, 5, 25, 27, 29, 39, 40, 54* 21 Exam 2 (3.5 – 4.6) 4.8 Differentials 5.1 Antiderivatives and Indefinite Integrals 276 1, 7, 9, 11, 15, 17, 18, 41, 47, 50 291 11, 13, 20, 24, 25, 36, 43, 53, 65, 67, 70 5.2 Area: Sigma Notation 303 2, 3, 15, 19, 21, 27, 30, 40, 44, 45, 47, 48, 49, 53, 57, 59*, 62, 73 Apr. 4 5.3 Riemann Sums and Definite Integrals 314 3, 6, 7, 11*, 18, 23, 26, 27, 31, 39, 42, 47 9&11 5.4 The Fundamental Theorem of Calculus 329 11, 13, 15, 18, 22*, 23, 24, 27, 28, 31, 37, 38*, 40, 45, 49, 53, 60*, 85, 92*, 95, 99, 103 13&16 5.5 Integration by Substitution 343 16, 18, 20, 22, 25, 27, 34, 54*, 60, 66, 74, 83*, 90*, 100, 103, 107, 110*, 123 29 Mar. 2 5 7&9 23&26 28 Mar 30 Apr. 2 18 23 5.7 The Natural Log Function: Integration 5.8 Inverse Trig Functions: Integration 360 11, 13, 15*, 16, 25, 27, 49, 55, 72, 76, 79, 99 368 1, 2*, 4, 5, 6, 7, 8*, 9, 11, 12, 13, 14, 16, 17, 19, 20*, 21*, 25, 29, 33, 34, 61, 72, 75 25 Exam 3 (4.7 – 5.7) 27 30 5.9 Hyperbolic Functions May 2 May 4 Review for Makeup and Final Exam 379 2, 3, 9*, 13*, 14*, 17, 19, 21*, 24, 25, 27, 31, 44 Makeup Exam 4:00-6:00 in Room A-16 Review for Final Exam Final Exam: Fri. 8:00 – 10:00 Room A-21 Enrolling Yourself in a Class Using a Class Key If your instructor gives you a WebAssign class key, you can enroll yourself in the WebAssign class roster. If you do not already have a WebAssign account, you can create one after verifying the class key. Important: An access code is not the same as a class key. You need a class key to enroll. You might need to pay student fees later with your access code. To self-enroll for a class: 1. 2. 3. 4. 5. a. Go to the WebAssign login page (www.webassign.net), and click I have a Class Key. Enter the class key your instructor gave you, ( blinn 7374 7434 ) and click Submit. On the verification page, check the class information and determine whether or not the correct class and section is displayed. o If the correct class and section is listed, click Yes, this is my class and go to step 4. . o If the listed class or section is not correct, click No this is not my class. Try entering your class key again, in case you might have mistyped a character. If the correct class is still not displayed, contact your instructor. If you have an existing WebAssign account, select I already have a WebAssign account, type the Username, Institution, and Password for your account, and click Continue. You are enrolled in the class and logged in to WebAssign using your existing account. If you do not have an existing WebAssign account, you can create one now. Select I need to create a WebAssign account, and then click Continue. b. Type the username that you would like to use for your WebAssign account in the Preferred Username field, and click Check Availability to see if the username that you want is available. Usernames are not case-sensitive, so BobSmith, bobSmith, and bobsmith are all the same username. c. After confirming the availability of your new username, type a password in both the Choose a password and Confirm password fields. Ensure that your password meets the displayed requirements, which might be different than those shown above. Passwords are case-sensitive, so IAmCa3sar is not the same as iamca3sar. d. Enter your First Name, Last Name, and Email Address, and optionally your Student ID Number. e. Click Create My Account. WebAssign confirms that your account has been created. You can click Log in now to log in to the new user account and go to your home page. Remember your username and password, because you will need them each time you log in. Tip: If you forget your password, you can click the Reset Password link on the login page. If you forget your username, your instructor can look up your username for you. You should only enroll in the class once. After enrolling, you might also need to provide an access code to verify payment for the class. Logging in to WebAssign Notes: If your instructor provided a class key, complete the steps in Enrolling Yourself in a Class Using a Class Key before logging in to WebAssign. Before logging in to WebAssign on a shared computer, such as a lab or library computer, exit all open Web browsers. Then, open a new browser session to start using WebAssign. Protect your account. To ensure that nobody else can access your account, be sure to log out of WebAssign and exit the browser completely after you finish working in WebAssign. To log in to WebAssign: 1. In your Web browser, go to www.webassign.net. If you log in through your school’s Web site, go to the Web address provided by your instructor. 2. 3. In the Username field, enter your username. In the Institution field, enter your institution code. (blinn) The institution code is a shortened form of your school’s official name. It is displayed when you self-enroll in a class. Tip: If you do not know your institution code, click What is my institution? In the What’s My Institution Code window that opens, type your school name, and then click go. A list of matching institutions and their institution codes is displayed. Note the code for your school, and then click Close This Window. 4. In the Password field, enter your password. Tip: If you have forgotten your password but have previously specified an email address for your WebAssign account, click Reset Password to request that the password be reset. 5. Click Log In. Important: The first time you log in to any WebAssign account, you should set your email address and change your password. If you have enrolled in a new class, you might also need to provide an access code to verify payment for the class.