American River College Mathematics Department

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1 American River College Mathematics Department Math 401 Spring 2012 Calculus II COURSE CODE MWF 7:45-9:15 Room 166 INSTRUCTOR Glenn Pico OFFICE Howard Hall Office 118 OFFICE HOURS Phone (916) M9:30-10, TTH 10:30-11:30, W 2:30-3:30 TH 2:30-3:30, F 9:30-10:30 Website PicoG@arc.losrios.edu PREREQUISITES You must show proof of prerequisite by the beginning of class on Wednesday August 24 or you will be dropped. You can do this in two ways: LR transcript showing that you passed Math 400 (Calculus I) with a grade of C or better) Or A prerequisite verification slip from Counseling. I will expect that you have command of the material from Math 400 including the derivatives and antiderivatives of basic functions and u-substitutions. You are also expected to have solid algebraic and trigonometric skills. We will spend a good part of the first week of class reviewing Calculus I integration, so if you have some gaps in your knowledge it is important to spend sufficient time getting up to speed before we go on to the new integration techniques from Calculus II. You don t want to get behind! REQUIRED MATERIALS Calculus: Early Trans + MyMathlab Package Includes: 1. Textbook ISBN: MyMathlab Access

2 A COURSE DESCRIPTION This course is a continuation of MATH 400. It builds on the methods of integration learned in MATH 400, and also covers improper integrals, sequences, infinite series, power series, polar coordinates, and parametric and polar equations. Many calculus applications are also included and there will be particular emphasis on logical reasoning and problem solving. TEACHING PHILOSOPHY/STYLE Math 401 (Calculus II) is a high level mathematics course that is transferable UC or CSU and to other universities throughout the country. As such this class will be taught with university standards, which includes rigor and high expectations of students. It is important to obtain solid skills in this class to be successful in subsequent math and science classes. In this class you have the opportunity to learn mathematics at considerable depth and obtain a meaningful education. Students who are successful in this class will generally be successful in subsequent classes. However, this requires that you be mature enough to come to each class meeting and do all homework and review. In short, you will need to work hard in this class, but it is worth the effort. I will teach in a way that encourages you to think and reason rather than just mimic what I do. You can learn a lot in this class if you pursue the material (and I will not impede college level learning by pursuing you with the material) so that you actually learn the material from Math 401 at the university level. LEARNING OUTCOMES AND OBJECTIVES Upon completion of this course, the student will be able to: identify and use properties of logarithmic, exponential, and inverse trigonometric functions to evaluate integrals. identify and apply appropriate techniques to evaluate integrals and solve application problems. recognize and evaluate limits in indeterminate forms and improper integrals. determine the convergence or divergence of sequences and series and find power series representations for certain transcendental functions. rewrite, analyze, and graph equations using three forms: rectangular, parametric, and polar. WORKING HARD The key to success in this class is hard work and diligence. Many people wonder why math is so hard or why math has to be so hard. The fact that math is not easy is what makes proficiency at math rare and valuable and professions that require math such as engineering pay well. Many students have the aptitude to be successful, but are just not willing to work hard enough, so those that do put in the effort rise to the top. My expectation of diligent students is that they will do each of the following:

3 1. Go over the class notes (possibly rewriting them) and make sure they understand them completely. 2. Do all homework that is assigned. 3. Come to my office whenever they don t understand something from class or need help with the homework. 4. Attend all class meetings for the entire class period. 5. Review notes and homework problems to prepare for exams. When you don t meet my expectations it is likely that your performance in this class will suffer. GRADING The purpose of grading is to quantify how much you have learned and your overall level of engagement in the class. To do this, the points in each category below are added up and graded out of the total possible and these scores are then weighted by the given percentages and combined to give the overall percentage grade with standard grading % A, 80-89% B, 70-79% C etc. HOMEWORK (15% of grade) Homework will be done online through MyMathlab by logging on to Each homework, including offline homework (see below), carries equal weight. Homework is assigned every class meeting and should be completed by the following class meeting time. You can see the online homework including due dates online. Generally, you will have until 11:59 PM on that next class meeting day go back and make any corrections or finish the assignment completely without penalty. You will often have up to two additional days to complete the homework after this time but you will lose 10% of the points for the part of the assignment that is completed late. After these additional two days you will no longer be able work on the assignment to gain additional points. If you have not done the assignment then your score will be a zero for that assignment. There will also be several paper- assignments or worksheets that you will turn in as offline homework. Your lowest two homework scores for the semester will be dropped.

4 QUIZZES (15% of your grade) Quizzes will often be done online through MyMathlab by logging on to We will generally have an online quiz after each chapter in the text covering the online homework from that Chapter. Each online quiz carries equal weight and they are timed with about two minutes per problem. You will only get one try on each problem and online quizzes must be completed in a single session (you can t work for a while and then come back to it). For this reason be sure you have are ready to put in about 40 minutes of uninterrupted time before you start your quiz. There may also be quizzes that are done in class that will have the same weight as an online quiz. Your lowest quiz score for the semester will be dropped. Attendance Quizzes I will generally take attendance each day and there will also be two attendance/participation quizzes for the semester. The two quizzes will each be based on your attendance and participation during a portion of the class. Please note that if you come to class after I take role for the day then you are counted as being absent for the day. Also, if you leave class early then you are counted as being absent. Students who are absent for any or all of three classes during the summer session will be dropped. If you are not mature enough to be punctual and come to class, please drop the class, so that another student can have the opportunity to take the class. EXAMS (55% of your grade) There will 5 exams completed in class and I will use your best four exams to determine your grade in the exam category. No make-up exams will be given without a Doctor s note for yourself only. Exams are closed note and closed book but you can use a scientific calculator and scratch paper on the exam. You can t use a real calculator that is an application on some other devise such a communication devise. Please use a pencil on exams. Also be sure to check your work and circle your final answer before you turn in any exam. Once you turn in your exam, you can t get it back until it is graded. Exam 1 Techniques of Integration: Worksheets plus Sections 6.7, Exam 2 Improper Integrals and Applications: Worksheets plus Sections 7.6,7.7, Exam 3 Sequences and Series: Worksheets plus Sections Exam 4 Power Series: Worksheets plus Exam 5 Parametric an polar coordinates: Worksheets plus FINAL EXAM (15% of your grade) Your final exam will be on Wednesday, May 16, 8-10 in our regular classroom. The final exam is comprehensive and Chapter test rules apply. There will be no make-final exams.

5 IMPORTANT DATES Last day to drop with refund: January 27 Last day to petition for CR/NC option: February 10 Last day to drop without a W: February 12 Last day to drop with a W: April 15 Final Exam: Wednesday, May 16 CLASS RULES Common decency and respect for one another dictate the following guidelines. Violators may be asked to leave class and repeat violations may result in being suspended or dropped from class. 1. Turn all pagers, alarms and cell phones off or to silent mode BEFORE entering the classroom. If you must take an emergency call please leave class unobtrusively before answering 2. Do not play with your phone, PDA, etc during class (this includes text messaging) 3. Do not listen to CD, MP3, etc players in the classroom 4. Keep your cell phone, PDA, etc put away inside the classroom 5. Please avoid talking or whispering when someone else is talking and during lecture. 6. Cheating will receive the maximum penalty allowable by the college 7. If your cell phone rings during a quiz or exam, please turn it off immediately. Repeated violations may result in loss of points on quiz or exam. 8. Do not bring any person to class unless they are registered student in my class. 9. Do not bring any animals to class (except service animals) THINGS YOU ALREADYKNOW BUT I AM GOING TELL YOU ANYWAY 1. You are responsible for the information the syllabus as well as any changes or additions announced in class or on MyMathlab or D2L 2. If you don t come to class, please drop 3. Remember a math class requires a large amount of time to be successful. If you don t have the time to take a math class this semester, wait until you do. Otherwise you ll end up wasting the amount of time you do put in. 4. If you really don t like math, why take a course five times? Work as hard as necessary to get it over with now, this semester. I will help you do that.

6 CLASSROOM BEHAVIOR/ POLICIES 1. Behave appropriately and politely at all times during class. DO NOT talk to other students while the professor is lecturing or while another student is asking a question. If you have questions about the lecture, please ask the professor. If you do not feel comfortable asking the question during class, you should ask during break or office hours. In the meantime, copy down all the notes on the board. You can add a little note to ask professor. 2. Please silence all cell phones and communication devices and No text messaging in class. You may text message during break or before/after class. 3. Bring your book to class and participate in class by taking meticulous notes, doing the homework and handwriting out the problems in your notebook, and taking part in class/group discussions 4. Attend and be punctual for every class meeting ( remember after 5 absences, the instructor is allowed to drop you) 5. Remain in class for the entire class period 6. Complete and turn in all assignments. Even if you are absent you should still submit your homework on time 7. Realize that cheating or apparent cheating on any exam or the Final will result in a zero grade for all involved parties 8. Remember I am here to help you so, seek extra help from and confer with the instructor as needed 9. Follow all rules and procedures of American River College; especially in regards to dropping and adding classes or receiving a Pass/Fail grade DISABILITIES Students with health issues or disabilities that may necessitate intervention, academic accommodations, or modifications to the college educational or physical environment are encouraged to arrange a confidential appointment with the professor. ATTENDANCE A Student will be dropped after the 3 rd absence. Please be aware that if you arrive at class after role has been taken or leave class before being dismissed you are counted as being absent for the class. Attendance in any mathematics course is of the highest priority since we study sequenced materials where one topic builds upon the previous one. Thus, when you return to class after an absence you may not understand what is going on in class. For this reason absences should be avoided at all costs. 1. If you happen to miss class you should still submit your homework on time. 2. Copy the missed notes from a classmate when you return, but not during class time. 3. In certain extreme cases such as a serious illness, a medical emergency (for you) or a court case, I may allow you to submit late work. Students in this situation need to explain the circumstances to the instructor and provide legitimate documentation. In this case you MUST talk to me outside of class.

7 TIPS FOR SUCCESS/HELP RESOURCE 1. Make sure that you get started in MyMathlab right away. Students you delay in getting started with MyMathlab are often not successful in the course. 2. Make sure you understand each homework assignment. Ask questions in class. If you are still lost or confused seek extra help from the instructor immediately. See the instructor during the scheduled office hours. If the office hours do not fit into your schedule, make an appointment. Do not wait until the day before a test to ask the instructor for help! 3. For additional help, go to Beacon, the Learning Resource Center, and/or MESA, OR EO&S. 4. Be prepared-complete and understand all problems on the assigned homework, take careful notes, and attend all class meetings. 5. Practice for the tests and the Final by reworking problems from your notes, homework, and quizzes until you can solve each problem perfectly and quickly. Remember, just because you can read through a problem and understand how it was solved is very different from actually being able to solve the problem yourself. 6. Maintain a positive math attitude and have fun! 7. MESA Program: "MESA is a learning community for students pursuing four-year degrees in the fields of mathematics, science or engineering. By providing resources, information, opportunities, and financial support, MESA helps students achieve in the classroom, progress academically, and develop professionally. Students receiving financial aid or fee waivers may be MESA eligible. Visit the MESA Center, 131 Liberal Arts or contact Will Davis daviswe@arc.losrios.edu." Extra-Curricular Activities AMATYIC Problem Solving Seminar and Math Contest This spring there will be an honors level seminar on problem solving which will be on Friday afternoons. I will let you know the exact time and location. I will be conducting some of the sessions, but there may be other professors who do some of the seminar sessions. This seminar is an extracurricular activity that is intended for highly motivated students that possess intellectual curiosity and the potential for high academic achievement. In this seminar students will learn techniques for solving challenging problems in mathematics. Students may present their solutions to other participants in the seminar. American River College will also be participating in the AMATYC Math Contests this fall and participating in the seminar is excellent preparation for the AMATYC Math Contest. There will be extra credit for participation in the seminar and

8 the AMATYC Math Contest. If you participate regularly in the seminar you will receive 15 points extra credit on your final and your score in points on the AMATYC Math Contest will be added to your lowest exam score. There are also prizes and scholarships and national honors for the AMATYC Math Contest. Integration Bee We are in the process or organizing a Los Rios Integration Bee (like a spelling bee with indefinite integrals) where colleges in Los Rios compete against each other for top honors and of course the coveted Plus C trophy. There may be some practices and an Integration Bee at ARC this spring. I will keep you posted, but if we are able to have an Integration Bee, then there will also be extra credit for participation in the Bee for ARC. MyMathlab s website MyMathlab computer requirements 1. Internet connection: Cable/DSL, T1, or other high-speed for multimedia content; 56k modem (minimum) 2. Memory: 64 MB RAM minimum 3. Monitor resolution: 1024 x 768 or higher 4. Plug-ins: You need certain plug-ins and players from MyMathlab Browser Check or Installation Wizard (found inside your course). 5. It is best to access MyMathlab using the browser Internet Explorer. Getting Started with MyMathlab To get started on your homework and quizzes through MyMathlab, you will need: 1. Student access code (please enter this in CAPITAL letters) 2. Valid address 3. ARC s zip code: Course code: pico73172 The course name is Math 401 Spring 2012 Pico early Things to Keep in mind 1. Log in to to work on your homework or take an online quiz

2. Be sure to get started on MyMathlab ASAP and download any plug-ins necessary and to get acquainted with the software. Use the installation wizard to help you with this 3.

9 2. Be sure to get started on MyMathlab ASAP and download any plug-ins necessary and to get acquainted with the software. Use the installation wizard to help you with this 3. Don t wait till the day homework is due! I suggest working on some homework every day. You should really be done with the homework before the due date. 4. Be aware that I do NOT accept late homework or quizzes, not even for technical difficulties, so PLAN AHEAD. Note: If you don t have a computer with the necessary requirements, you can work on your homework in the Learning Resource Center at ARC s main campus. Helpful Websites For a video of how to register and enroll: 1. With an access code go to 2. Without an access code go to For a video on how to enter answers go to For help installing the needed plug-ins and software go to Did you Know MyMathlab has videos of mini-lectures on certain topics MyMathlab has PowerPoint presentation on the material in the book. To access the above, click on Multimedia Library, after logging and clicking on our class link Welcome Students! MyMathLab is an interactive website where you can: Self-test & work through practice exercises with step-by-step help to improve your math skills. Study more efficiently with a personalized study plan and exercises that match your book. Get help when YOU need it. MyMathLab includes multimedia learning aids, videos, animations, and live tutorial help.

10 Before You Begin: To register for MyMathLab you will need: A MyMathLab student access code (packaged with your new text, standalone at your bookstore, or available for purchase with a major credit card at Your instructors Course ID: pico73172 Your school s zip code: A valid address Student Registration: Enter in your Web Browser. Under Students, click Register. Read the Before you start information and click Next. Enter your Course ID exactly as provided by your instructor and click Find Course. Your course information should appear. If not, contact your instructor to verify the correct Course ID. Select Access Code, type your Access Code in the fields provided (one word per field), and click Next. If you do not have an access code, click Buy Now and follow those prompts to purchase and register. Read the License Agreement and Privacy Policy and click I Accept. On the Access Information Screen, you ll be asked whether you already have a Pearson Education Account. Click: - YES if you have registered for other Pearson online products and already have a login name and password. Fields will appear for you to enter your existing login information. - NO if this is the first time you have registered for a Pearson online product. Boxes will appear for you to create your login name and password. - NOT SURE if you want to check for a pre-existing account and receive an with your login name and password. Simply follow the registration screens and enter your information as prompted. You will enter your name, address, school information, and provide a security question/answer to ensure the privacy of your account. Once your registration is complete, you will see a Confirmation screen (this information will also be ed to you). Simply print your confirmation (remember to write down your login name and password) and you are now ready to Log in and access your resources! Logging In: Go to and click on Log In. Enter your login name and password and click Log in. On the left, click on the name of your course. The first time you enter your course from your own computer and anytime you use a new computer, click the Installation Wizard or Browser Check on the Announcements page. After completing the installation process and closing the wizard you will be on your course home page and ready to explore your MyMathLab resources! Need help? Contact Product Support at for live CHAT, , or phone support.

Beginning and Intermediate Algebra, by Elayn Martin-Gay, Second Custom Edition for Los Angeles Mission College. ISBN 13:

Beginning and Intermediate Algebra, by Elayn Martin-Gay, Second Custom Edition for Los Angeles Mission College. ISBN 13: Course: Math 125,, Section: 25065 Time: T Th: 7:00 pm - 9:30 pm Room: CMS 022 Textbook: Beginning and, by Elayn Martin-Gay, Second Custom Edition for Los Angeles Mission College. ISBN 13: 978-1-323-45049-9