Room 001, Bauer Hall. Lectures are at a.m. Monday Friday.

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1 CALCULUS 2 SYLLABUS WELCOME! Welcome to Calculus 2! Here you ll find information on the necessary preparation for the course, the course content, and course policies that you need to be aware of. ABOUT THE COURSE Course Identifiers Math& 152, Section A, Course # Location and Time Prerequisites Room 001, Bauer Hall. Lectures are at a.m. Monday Friday. You must have earned a C or better in Calculus 1, or recommending score in the placement test. Note that a C- does not suffice. ABOUT YOUR TEACHER Name Contact Information Office Hours John Mitchell, B. Sc., M. Sc. (University College Dublin, Ireland). OFFICE LOCATION: BHL (Bauer Hall) Room 006 MAIL BOX: Bauer Hall, Mathematics Dept. PHONE: (360) , or ext 2978 on campus. [email protected] a.m. Monday, Thursday, and p.m. Tuesday, or by appointment. Please feel free to stop by during these times with any questions on your progress in the course. However, unfortunately, I can t give private lectures for missed classes. COURSE MATERIALS AND OTHER RESOURCES Textbook Stationary Online Class Materials: Calculus: Early Transcendental Functions, 4 th Edition (Larson et al). Pencil, Ruler, Letter-size ruled paper, graphing paper. Assignments can be submitted on either paper type, however graphing paper is recommended for, well, graphs. Most of the handouts will also be online in case you missed the class or need additional copies. Some larger documents will be exclusively online. Make sure you have a college account, regular access to either your private or a college address, and the technical expertise to print online documents when you need to. I currently post documents to my web site: During this term I may move some of my online course material to Blackboard to take advantage of its features. If this takes place, I ll give you more details as the term progresses, including in-class demos if necessary. PAGE 1 OF 10

2 Graphing Calculator Other Materials A Texas Instruments model (TI-83, 83+, 84+, 86, 89, Voyage 200, Nspire) is required. Demonstrations in class will normally be done on a TI-84+, so if you have a different model, then be sure you know how to use it. Please come see me during the first week of term if you need further clarification on what model to get. In addition to the textbook, there are other supplementary materials that may help you during the term, such as Solutions Manuals etc. Details are on page xvi of your text, and on the publishers website: There s a wealth of Calculus reference material online. I ve some links on my web site, but feel free to explore and share your findings with the class. Computer Algebra System MAPLE version 11 (or 12, which has just been released) is recommended (but not required to purchase) in this course to investigate these topics further, and solve applied problems that would be difficult or impossible by hand. Maple is installed in the computer labs in Bauer Hall, or you can purchase your own copy. We ll do an introduction to the package this term, and give you the expertise to take it further in the future. There s an optional text that you may wish to get for the Maple aspects of the course. It s called: Maple by example, 3 rd edition, by M. Abell. There are copies in the college bookstore. However I have online tutoring materials that you should find sufficient to get a solid foundation. THE COURSE Description This course is the 2 nd course in the standard 4 quarter calculus sequence, and will be accepted as such by participating colleges in the Pacific Northwest and many other U.S. colleges. It should also be acceptable for entry to the 2 nd semester of a 3 semester calculus sequence (in fact, you will have already covered some of the 2 nd semester material). However, check with your intended college if you re uncertain of the transfer requirements. Contents We ll develop the techniques you covered in calculus 1, and apply them to real-world applications. Topics covered include: A brief review of Calculus 1, particularly integration. Further integration techniques (5.8,5.9) Applications of Integration (Chapter 7) Integration Techniques, L Hospital s Rule, Indeterminate forms (Chapter 8). Conics, Parametric Equations and Polar Co-ordinates (Chapter 10). We may cover additional topics, time permitting. PAGE 2 OF 10

3 My Teaching style and philosophy During this course, I will do my best to challenge, inspire, and motivate you, and make this course a worthwhile part of your academic growth. Topics will be presented in lecture format, and illustrated through worked examples. My preference is to work through examples live rather than bring canned solutions, so you can see the reasoning process behind the answer as well as the finished solution. Since the best way of learning new topics is to try them out, a good deal of class time will be spent on exercises, both individually and in groups. Getting the most out of the course We ll be covering a range of new concepts in a relatively short time. Because of this, we ll have limited time for revision of prerequisites, or going back over previous topics. Being successful in the course will require hard work and self-discipline on your part. Specifically: Ensure you ve mastered the prerequisites! I ll discuss specifics during the first week. Be prepared for each class and attentive during it. Keep current with homework assignments, and make sure that you re prepared to ask any homework questions at the start of the next class. Don t fall behind seek help if you need it (see getting help). Since most of the grading is on tests, practice doing examples under test conditions (timed and closed-book) as much as possible. COURSE POLICIES Attendance Attendance is expected you should attend class unless there s a serious reason. If you must miss a class, you do not need to contact me in advance, unless it s a test or quiz day. However, it s your responsibility to find out what you missed (assignments, lecture notes etc). See your classmates rather than me for this. If you must miss a test or quiz day, you must contact me in advance and I ll try wherever possible to schedule a make-up test or other suitable accommodation. Students who don t get prior permission for an absence will be given a zero grade for the test or quiz. Note finally that failure to attend one or more sessions during the first five days of the quarter may result in you being dropped from the class for non-attendance please contact me in person or by if you must be absent during this period. Attitude and Conduct: There is a Student Code of Conduct that you are expected to comply with. See the College Catalog for details. I ll emphasize some specific conduct areas here. I should stress that in my experience Clark College students in general display an exceptional attitude towards learning and conduct themselves with a high degree of professionalism, both within the classroom and outside. I don t expect to have to deal with conduct issues this term. Don t let your classmates and me down! PAGE 3 OF 10

4 Attitude and Conduct (Continued) In summary I ask that you come to the class with a positive attitude, and that you are respectful of your classmates and me at all times. Behavior that is disruptive to the learning environment in class will not be tolerated, and may lead to your removal from the class and further disciplinary action by the college. Some specific conduct issues to keep in mind: Be attentive during class, and don t distract others while the class is in session. In particular, refrain from any side conversations while the class is in progress. This is disrespectful to those who are trying to concentrate. Questions on the material are encouraged and I ll regularly prompt for them. However, make sure that I am facing the class, know you have a question, and am ready to answer it before asking. Also, make sure questions and comments to either your classmates or me are directed in a respectful, non-confrontational manner. Arrive on time and ready to start the session, with any due assignments ready to hand in and stapled. If you are late for class, ensure that your entrance does not disturb your classmates. College regulations allow only registered students to attend class please don t bring guests (such as your children). Exercise academic integrity. If you are caught cheating on an assignment (either in class or take home) you will be given a zero grade and your name forwarded to student services. Further action (including expulsion from the college) may be taken if the circumstances warrant it. To stress this: Cheating has serious consequences for your academic career. Don t even think about doing it. Please turn off cell phones before class starts. Any use within class (including texting) is prohibited. Withdrawing from the course You may drop the class anytime on or before the Friday of the seventh week of classes without instructor permission. Past this time, drops are not allowed (even with instruction permission). COURSE REQUIREMENTS: ASSIGNMENTS, ASSESSMENT, GRADING Overview Homework Your grade is determined by: take-home assignments (or WORKSHEETS), QUIZZES, MID-TERM TESTS and a FINAL. However, to do well in these areas, it s critical that you keep current with homework. Homework will be assigned daily from the textbook. While it won t be collected, completing homework assignments after each class is crucial to completing the course successfully. Additionally, the worksheets are based on the textbook homework, and often develop the ideas in it further, so attempting worksheets without having done the relevant exercises from the textbook is difficult. PAGE 4 OF 10

5 There will be several (3 are projected) take-home worksheets to be turned in. A set of guidelines will be handed out prior to the first one. should follow these guidelines, or credit will be reduced. The due date will be specified at assignment time. Again, late worksheets will not be graded. Exceptions may be made for good cause on a case-by-case basis. If you anticipate a problem with turning a worksheet in on time, please contact me in advance of the due date. If you can t make the class on an assignment date, you can deposit the worksheet in my mailbox before the start of the class in which it is due Tests and Quizzes The tests and quizzes during the course assess your understanding of the material and ability to apply it to mathematical problems. There will be 3 tests during the course, and a comprehensive final exam on the entire course. See the attached schedule for projected test dates. There will also be several shorter quizzes during term, which will be announced in class in advance. Note that not knowing about a quiz day is not an acceptable excuse for lack of preparation for a quiz, so ensure that you check with your classmates if you miss a class. Generally, makeup exams are not possible. Exceptions may be made on a case-bycase basis for serious reasons; however you must contact me in advance of the test date to make such an exception. Grading The projected grading breakdown for the course is: Quizzes: 16% (4 quizzes projected) : 27% (3 worksheets anticipated) Midterm Tests: 30% (3x10%) Final: 27% The weighted percentage average of your marks on the assignments will be converted to a letter grade as follows: Note that grading Pass-Fail or credit/no credit is not an option for this course % A 90-92% A % B % B 80-82% B % C % C 70-72% C % D % D 60-62% D- Less than 60% F I ll discuss the detailed marking schemes for quizzes, worksheets and tests early in the term. Final grades are not for public viewing, and will not be given over the phone, either by me or by the Mathematics Dept. office. You may access them as soon as they are listed by phoning and following instructions, using the web, or from the campus information kiosks. See the section on Grades and Records in the college catalog for additional college regulations on grades, including topics such as confidentiality and the appeals procedure. PAGE 5 OF 10

6 GETTING HELP From Your Teacher I ll prompt regularly for any questions during class. If you don t understand what we ve just covered, don t hesitate to ask. Make an appointment with me if you need additional guidance outside class hours. I can give you guidance such as: discuss your overall progress and give guidance if needed, check a take-home assignment to see if it s showing the right work, and so on. However, unfortunately time constraints mean I can t give private lectures for missed classes. From the Mathematics Department and the College There are MATH HELP SESSIONS available to you in BHL107. I ll be there on Tuesdays and Wednesdays at a.m. Other staff members can help you as well - the schedule will be posted on bulletin boards throughout Bauer Hall. The TUTORING CENTER in Hawkins Hall (and other locations) has tutors available in many subjects, including mathematics, during posted hours. You can contact them at From your classmates Most important, seek help from, and offer help to, each other the best way to increase your understanding of an idea is to try teaching it to others. The most successful students are usually those who form study groups with colleagues. ADA ACCOMODATIONS What to do If you have emergency medical information which should be shared, or if you require assistance in case the building should be evacuated, please make an appointment to see me as soon as possible during the first week of term, during the office hours indicated. Any student with a disability who may require some consideration or assistance in order to fully participate in this class should contact the Disability Support Services Office at or (TTY) or stop by Penguin Student Union (PSU) room 014. EMERGENCY AND OTHER IMPORTANT CAMPUS INFORMATION Inclement weather or emergency information Immediate emergency communication alert Go to or call as your first means of getting information. The College does send notices to radio and television stations, but the College s web site and switchboard are the official platforms for the most accurate information. To receive immediate notice on emergencies, you can register your cell phone number to receive text pages and your address to receive messages. To do this, go to Select Subscribe on the left, and follow the instructions. Mass communication will also be sent to all college employee phones and computers. PAGE 6 OF 10

7 Fire Alarm Evacuate the building through closest exit; evacuation maps are located in the hallways. Take personal belongings only if it is safe to do so. Remain at least 50 feet from the building. Notify others of evacuation. Do not re-enter building until instructed to do so. Parking Lot Identifiers New parking lot identifiers using colors and numbers have been assigned to all Clark parking lots. To help emergency or security personnel locate you, please refer to these identifying features. Security Escorts Security Officers are available for escorts: please call STUDENT LEARNING OUTCOMES Overview Details This section describes the skills you will develop during this course and how they will be assessed. Before discussing the details, some background information on the framework that Clark College uses to describe learning outcomes and assessment in general may help. Firstly, of the six campus-wide abilities the main skills that are emphasized in this course are critical thinking/problem solving and communication. In this course you will develop your abilities to (a) analyze and solve calculus problems using a range of mathematical techniques (developing your critical thinking and problem solving ability), and (b) explain your problem-solving strategy in both oral and written form (developing your communication ability). Clark College has identified that quantitative disciplines (such as Mathematics) have a set of overall Student Learning Outcomes associated with them, namely: Comprehend the content and evaluate the quality of quantitative information. Use appropriate vocabulary and notation of quantitative methods. Analyze and solve quantitative problems using appropriate methods. Interpret and explain solutions to quantitative problems. Perform accurate mathematical operations appropriate to the disciplines and/or the occupation. Each course has a set of detailed Course Outcomes that fall in to one of the above categories. The spreadsheet on the following pages gives the details of the outcomes that we ll be assessing in this course, what Learning Outcome they pertain to, and what ability they relate to. I ve illustrated the course outcomes with examples. If you don t understand it fully, don t worry. It won t be on a test! A Summary The main lesson to take from this section is that you re not just learning a random set of mathematics topics this term. You re developing a range of problem solving and communication skills that will benefit you in future courses, as well as other parts of your personal and professional life. PAGE 7 OF 10

8 STUDENT LEARNING OUTCOMES TABLE The table below relates the 5 student outcomes listed in the previous section to how they will be assessed in the course. STUD E NT L EAR N ING OUTC OM E S COUR SE OUT COM E S EX AMPL E S (WHERE N EC E SSAR Y) ASSESSED BY CAMP US W ID E - AB IL ITY Comprehend the content of and evaluate the quality of quantitative information Develop the ability to identify the set of calculus techniques a problem pertains to. Assess what tools are necessary to solve a calculus problem (by hand, graphs, computer algebra systems, etc.) Know that in a physics work problem where the work done is a function of distance, you will need to set up an integral to determine the work done. Given an integral, determine if it can be done using an algebra technique (e.g. substitution) or must be done using either a computer algebra system or tables. Develop a feel for how hard a calculus problem is whether it requires many steps or few. Deciding if an integral is easy just a few steps to write down the answer or hard, requiring a harder technique such as integration by parts or partial fractions Assess when a rough estimate of the answer can be obtained without detailed calculation, and provide the estimate in this case. Estimating the arc length of a parametrized curve, before finding it. Use appropriate vocabulary and notation of quantitative methods Use and interpret calculus mathematical notation appropriately in problem solution. Using integral notation aspects correctly, including knowing when an integral is a well formed expression and when it s not (e.g. it s missing a differential part). Communication Comprehend basic calculus terms (parameterized curve, etc) and describe them in your own words. Describing in your own words and pictures the essential difference between finding volumes using the disk method and the shell method. Communication PAGE 8 OF 10

9 STUD E NT L EAR N ING OUTC OM E S COUR SE OUT COM E S EX AMPL E S (WHERE N EC E SSAR Y) ASSESSED BY CAMP US W ID E - AB IL ITY Analyze and solve quantitative problems using appropriate methods Analyze and solve drill problems using basic calculus methods Solve applied problems (e.g. in physics, engineering) using the techniques from algebra and calculus Finding the value of 3 2 x xe dx by 1 hand, using substitution and showing work. Finding the pressure on the porthole of a submarine, using calculus. Tests/Quizzes, Homework Apply technical tools (graphical calculators, computer algebra systems such as MAPLE) as appropriate in solutions Using MAPLE or your graphing calculator to find the value of an integral which can t be done algebraically such as 3 2 x e dx. 1 (MAPLE) Tests (graphical calculators) Information technology Perform accurate mathematical operations appropriate to the disciplines and/or the occupation Perform by hand calculus 2 operations. Perform calculus 2 operations using the appropriate computational tool (e..g MAPLE). Finding integration by parts. xsin x dx using Determining the area between two graphs using your graphing calculator. Tests/Quizzes and worksheets Tests/Quizzes and worksheets Interpret and explain solutions to quantitative problems Develop good structure habits for longer problems, or those with many parts. For a long problem such as integration using partial fractions, organizing your work so the narrative is clear. Communication Interpret applied results using appropriate units in plain English. Using correct units (either imperial or metric) for the work done in a work problem. Communication TENTATIVE COURSE SCHEDULE A projected schedule is on the next page note that the dates and topics are tentative and may change based on class needs. Homework assignments for each topic and other details will be handed out later. PAGE 9 OF 10

10 1 MONDAY TUESDAY WEDNESDAY THURSDAY FRIDAY 22 September Course Overview , substitution Inverse Trig function Hyperbolics Intro to MAPLE Hyperbolics 7.1 Areas between curves Areas between curves 1 October 7.2 Volumes disk method Volumes disk method Volumes shell method Volumes shell method Arc length, Surfaces of Revolution Work Test 1 10 Faculty Workday Work Moments Centers of mass, centroids Fluid force and pressure Fluid force and pressure Basic Integration rules Basic Integration rules Integration by parts Integration by parts Trigonometric Integrals Trigonometric Integrals Trigonometric Substitution Trigonometric Substitution Test Partial Fractions 7 3 November 8.5 Partial Fractions Tables Maple Lab Session or tutorial Limits review. Indeterminate forms Limits review. Indeterminate forms Improper Integrals Last Day to Withdraw Improper Integrals 11 Veterans Day Holiday Conics Conics Plane Curves Plane Curves Parametric Equations and calculus Test Parametric Equations and calculus Polar Coordinates Polar Coordinates 26 Faculty Workday 27 Thanksgiving Holiday 28 Thanksgiving Holiday 11 1 December 10.5 Area, arc length in Polars Area, arc length in Polars Polar Equations of conics Polar Equations of conics Finals 9 Finals 10 Final: a.m. 11 Finals 12 Faculty Workday PAGE 10 OF 10

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