MAC 2312: Calculus II Online Sections 7E93, 7E97 Summer 2017

Transcription

1 MAC 2312: Calculus II Online Sections 7E93, 7E97 Summer 2017 CONTACT INFORMATION: COURSE COORDINATOR Name: KL Chui TEACHING ASSISTANT (TA) Carol Demas Office Location: LIT 376 LIT 417 Office Hours: TBD TBD Office Phone: Text: This course will be participating in the UF All Access program. The e-textbook, Calculus Early Transcenental by Stewart, is inclue in the require WebAssign access coe. You may optin to WA access in Canvas for a reuce price of $62.50 (on or before 6/2/17) an pay for it through stuent s account. Once opt-in, you will be given an access coe to access WebAssign. Lecture Outline: Access the lecture outlines for each lecture in CANVAS. You may print it off from CANVAS or purchase a printe packet from Target Copy on University Ave.(ask for the MAC2312 Online Course) Course Management System: CANVAS, lss.at.ufl.eu Online Homework & Quiz: UF Tutoring Service: 1

2 MAC ANALYTIC GEOMETRY & CALCULUS II 1. Course Calenar.. page 3 2. Introuction a. Course Description, Content page 4 b. Prerequisites page 4 c. Require Materials page 4. Assignment Calenar.... page 5 e. CANVAS..... page 5 f. Lecture Vieos page 5 g. Success..... page 6 h. Stuents with Disabilities..... page 7 i. Acaemic Honesty.... page 7 3. Graing a. Course Grae. page 8 b. Incomplete Graes... page 9 c. Getting Starte, Syllabus Quiz, Diagnostic Test.. page 9. Vieos an Lecture Questions. page 10 e. WebAssign Homework. page 10 f. Exams.... page 11 g. Extra Creit... page 11 h. Aitional Practice Problems... page Testing a. Semester Unit Exams.. page 13 b. Final Exam page 13 c. Makeup Policies. page About the Online WebAssign Assignments page Formulas You Are Expecte to Know page 14 2

3 MAC 2312 Online Course Calenar, Summer 2017 Sunay Monay Tuesay Wenesay Thursay Friay Week 1 5/8 Classes begin Syllabus Quiz 7.1P, 7.1C,7.2P 12 L1 & introuction L2 Diagnostic Quiz L3 Week 2 5/15 L4 L5 L6 19 LQ L C 7.3P 7.3C, 7.8P, 7.4P 7.1M, 11.1P Week 3 5/22 L7 L8 L9 26 LQ L M 7.3M, 7.4aC 7.4aM, 7.4bC Week 4 5/29 L10-L11 L12 L13 2 LQ L bM, 7.4cC 7.4cM LimitR, 7.5R Week 5 6/5 L14 L14 L15 ER, DB EXAM 1(L1 L13) 9 LQ L HR, 7.8C 7.8M Week 6 6/12 L16 L17 L18 16 LQ C, 11.1M 11.2aC, 11.2aM 11.2bC, 11.2bM Week 7 6/19 L19 L20 L21 23 LQ C, 11.4C, 11.8P 11.3M,11.5C, 11.4M, 11.6aC Week 8 LQ Week 9 LQ Week 10 LQ Week 11 LQ /26 L M, 11.6aM 7/3 L C, 11.7R 7/10 L M, 11.9aM 7/17 L bC 11.10bM L23 L26 L29-L30 L33 L bc L27ER, DB 11.9aC L bC,11.9bM L34-35 ER(I) 10.1P, C 11.6bM 6/30 EXAM 2(L14 L23) aC,11.10aM M,10.3C Week 12 LQ /24 L M,10.4aC,10.4bC L37 L37ER(II), DB 10.4aM 10.4bM EXAM 3(L24 L35) 28 Week 13 LQ /31 Stuy for final 6.2P,6.2C,6.2M Stuy 6.3C,6.3M Stuy for final ER, DB 3 FINAL (L1 L37) 4 Classes En In WebAssign: HW= Homework, Diagnostic Quiz, ER= Exam Review In Canvas: Syllabus Quiz, LQ= Lecture Quiz, DB=Discussion Boar Posting. Exams * All ates liste are the ue ates of the inicate tasks, ue 10 PM EST. * Exams: You have 90(+30 extra) minutes for each Unit exam an 120(+30 extra) min for the final exam. Each exam is available from 1PM-10PM EST on the ate inicate here. * You must scheule with ProctorU at least a week in avance for a 120 minute time block for each unit exam an 150 min for the final exam with a start time no later than 7PM to give yourself enough time in case of any unforeseen problems. * Be sure to set up an appointment with proctoru to check out your computer system. If you run into any problems an can t start an exam, you must inform your TA immeiately an be reay to scheule with proctoru to take the exam in 24 hours. (penalty may apply) * Verify an resolve all grae issues within a week of the ue ate. No grae ajustments otherwise. * Week grae issues must be resolve by 5pm on 8/4. No grae ajustments after 8/4! 3

4 2. INTRODUCTION 2a. COURSE DESCRIPTION an CONTENT. MAC2312, Calculus II, is the 2 n semester in a three semester calculus sequence. The course begins where MAC2311 left off at the integration techniques. This is followe by a stuy of sequences, series, parametric equations, polar coorinates an close with applications of efinite integrals incluing volumes of solis an solis of revolution. A minimum grae of C (not C ) in MAC 2312 satisfies four creits of the University General Eucation Mathematics requirement. This is an ONLINE VERSION of MAC2312 all content is elivere online. Stuents view 37 online lecture vieos an complete lecture questions in lecture quizzes in the course management system Canvas an complete online homework using WebAssign (WA) software. Stuents are encourage to post questions an answers on the course Discussion Boar in Canvas. Three semester unit exams an a cumulative final exam are poste in WebAssign an aministere through ProctorU. 2b. PREREQUISITES. MAC2312 assumes that you have essential PreCalculus (MAC1147 Algebra an Trigonometry) an Calculus I (MAC2311) skills necessary to succee in this course. Stuents shoul be able to o the work without a calculator. In the last section of this syllabus, stuents may fin a short list of review materials to practice. A grae of C in UF MAC2311 meets the minimum requirement for the course. We encourage stuents to review the prerequisite material to gain a strong knowlege in orer to succee in calculus II. A Diagnostic quiz in WebAssign is ue on the ate in the calenar. You shoul alreay be competent in working this material. We recommen stuents who are having ifficulty with the review material or the Diagnostic quiz consier first taking MAC2311 (if you have not one so) which is offere as an UF online course. You may switch courses on ISIS, isis.ufl.eu, uring the rop-a perio. Stuents may also use the ALEKS Remeial Program to strengthen pre-calculus skills. For more complete information on ALEKS, check the page isis.ufl.eu/aleksinfo.html. 2c. REQUIRED MATERIALS. WebAssign (WA): Stuents will nee to access WebAssign to o homework an to take exams. See page 1 in this syllabus an the Course Canvas for important Opt-In information. This access inclues the e-text book, the Diagnostic Quiz an the online homework. A printe copy an the solution manual are NOT require. Once Opt-in, stuent will be given an access coe to log into WA by clicking on the WA link on the left in Canvas. Use your GatorLink creentials to log in, enter access coe when aske. 4

5 Lecture Notes Outlines: See 2f. Computer access an requirements: All assignments shoul be taken on a computer, not cell phone or tablet, since there may be compatibility issues with CANVAS an WA. Be sure you are using a browser that works with WA; Safari is not recommene with WA. Any WA questions shoul be irecte to the WA helpesk, another reason you shoul not wait till last minute to complete your online assignment. Remember that DueDate is NOT DoDate! Check here, (copy an paste the link below) for WA browser recommenations. You are responsible for having access to an Ethernet connecte working computer an have your work complete on time. Complete an submit your work early. If you wait an run into any ifficulties to submit your work, you will be out of luck because there is no creits nor extension for the work not submitte (other than the 24 hours extension on WA homework). (see 3e). Calculators: A graphing calculator or computer program can be useful as a learning tool when use appropriately, but they are not essential. Calculus is a collection of concepts, ieas an process that are not mastere through calculator skills. No calculators are allowe uring exams. 2. ASSIGNMENT CALENDAR. Check the course calenar an Assignment Due Dates in Syllabus for ue ates an plan your scheule accoringly. You may complete your homework early, but you must take exams on the assigne ates. 2e. CANVAS. is the hub of the course. It s where you will access important course information such as the lecture vieos, lecture questions, graes, syllabus, Discussion Boars, exam information, etc. It s run by UF, an you will nee your gatorlink ID an passwor to login. The website aress is In aition, there is Announcement for communicating important course information an Conference for igital office hours. All graes are poste in Canvas (except for the iniviual WA homework which are accesse in your WA graebook). You are responsible for verifying that all graes are accurate. You have one week after a score has been poste to resolve any grae concerns. Contact your TA if you believe there has been a graing or recoring error. We will NOT consier any graing isputes at the en of the semester. Please note: Important course information is clearly communicate in this syllabus. Assignments an course materials are easily accessible through the CANVAS. If you can not fin your answer in the resources above, please use the Discussion Boar in CANVAS to post questions an to supply answers to your fellow stuents. 5

6 BE SURE TO TURN ON the ALERTS from Canvas so that you get timely course information. 2f. LECTURE VIDEOS. The lecture vieos provie the main presentation of course material, an are accesse through Canvas. To stay current with the course, we recommen watching the vieo weekly following the scheule poste in the course calenar. It s possible to get ahea in this class if you complete each assignment early. If you have other commitment, ajust your scheule to complete the assignments earlier rather than later. However, the test ates will not change. You shoul watch the lectures an answer the corresponing lecture questions in Lecture Quiz in Canvas before attempting homework. Lecture Notes outlines: It is important that you shoul have a har copy of the lecture notes in orer to follow the lecture when watching the vieos. This will make it easier to take notes an to follow the lecture. Stuents can obtain the printe outlines from the Target Copy Center (ask for the MAC 2312 Online course notes) or print them out from each lecture in Canvas. Note: The lecture note outlines an other ocuments poste in Canvas are in PDF format which requires Acrobat Reaer on your computer. You may ownloa the latest version through 2g. SUCCESS: Other than having a strong precalculus an calculus I backgroun, success in MAC 2312 epens largely on your attitue an effort. Keeping up with the vieos is critical. You may fin it beneficial to work aily on the material as oppose to saving it all for one ay. It is not effective to watch vieo an copy notes without following the thought processes involve in the lecture. For that reason, there are Lecture Quizzes following each lecture which you will answer in Canvas as part of your course grae. (see 3) Be aware that much of the learning of mathematics at the university takes place outsie of the classroom. You nee to spen time reviewing the concepts of each lecture from the vieo an text book before you attempt homework problems. It is also important to look over the textbook sections to be covere in the next lecture to become familiar with the vocabulary an main ieas before watching the next vieo. That way you will be better able to grasp the lecture material. As with most college courses, you shoul expect to spen a minimum of 3 hours working on your own for every creit hour of the class. MAC 2312 is a 4 creit course, which means at least 12 hours per week preparing an practice problems or this course an aitional hours spent watching the lecture vieos. Keep in min that the goal is to be able to apply the techniques of calculus to problems, not just reprouce the problems you see in the class. Do you know that it takes roughly 42 lecture hours in colleges vs. roughly142 lecture hours in high school to complete a calculus course? The fact of the matter is that college course goes 3 + times faster an that you probably won t o well if you on t watch lecture regularly or wait till the week of the exam to start preparing for the exam. Therefore, it is critical that you keep pace with the 6

7 course material an assignments each week. Do not fall behin. Use the resources available as you stuy! We encourage you (to ask questions on the Discussion Boar), seek help from your (teaching assistant (TA), the instructor an the Browar Teaching Center, for live an online tutoring services. WA also offers vieos an other teaching ais. Do not let misunerstanings go unanswere. We encourage stuents to work together, an an important resource to facilitate communication in an online course is the MAC2312 Discussion Boar in CANVAS. You shoul check the Discussion Boar regularly, posting questions an answers for fellow stuents. The effort of asking questions an communicating ieas clearly, as well as the practice of writing solutions, are effective tools in helping you better unerstan calculus concepts. This is YOUR forum, take avantage of it by participating in it. In stuying calculus, you must be careful not to let a tutor, frien or calculator think for you. Be sure that you can work problems completely on your own, answer any questions others have poste, without help, by the time of a quiz or an exam. It s our hope that through focuse stuy an practice you will gain a true appreciation for the important concepts of calculus an their application. We want you to succee in this class! You must be positive an keep up with the course material an take the initiative to get help in time, before you get too far behin. Stuents with a positive attitue who are intellectually engage in learning the material will get the most from the course. 2h. STUDENTS WITH DISABILITIES. UF welcome stuents with isabilities into the UF programs. Stuents requesting class an exam accommoations must first register with the Dean of Stuents Office Disability Resource Center (DRC), ( ) an then they shoul approach the TA as soon as possible to arrange for extension on exams an quizzes. 2i. ACADEMIC HONESTY. Remember that you committe yourself to acaemic honesty when you registere at the University of Floria by agreeing to the Honor Plege below: The Honor Plege We, the members of the University of Floria community, plege to hol ourselves an our peers to the highest stanars of honesty an integrity by abiing by the Honor Coe. On all work submitte for creit by stuents at the University of Floria, the following plege is either require or implie: 7

8 On my honor, I have neither given nor receive unauthorize ai in oing this assignment. Acaemic Honesty Guielines: All stuents are require to abie by the Acaemic Honesty Guielines which have been accepte by the University. The acaemic community of stuents an faculty at the University of Floria strives to evelop, sustain an protect an environment of honesty, trust, an respect. Stuents are expecte to pursue knowlege with integrity. Exhibiting honesty in acaemic pursuits an reporting violations of the Acaemic Honesty Guielines will encourage others to act with integrity. Violations of the Acaemic Honesty Guielines shall result in juicial action an a stuent being subject to the sanctions in paragraph XIV of the Stuent Coe of Conuct. The mathematics epartment expects you to follow the Stuent Honor Coe. We are boun by university policy to report an instance of suspecte cheating to the proper authorities. You may fin the Stuent Honor Coe an rea more about stuent rights an responsibilities concerning acaemic honesty at the link In aition, we remin you that lecture vieos are the property of the University/faculty member an may not be istribute/share without prior permission from the coorinator an may not be use for any commercial purpose. Stuents foun to be in violation may be subject to iscipline uner the Stuent Conuce Coe. 3. GRADING 3a. COURSE GRADE. Your course grae is etermine as follows: 13 WA homework sets (55 possible points) 50 pts Lecture Questions sets 40 pts 3 Semester Exams (70pts/ea) 210 pts Final Exam 100 pts Total: 400 pts In aition, there are extra creits worth 20+ points (5+% of the course grae) earne from the following assignments: Diagnostic Quiz, Syllabus Quiz, the WA Exam Reviews, the Discussion Boar Q/A before each exam. Their ue ates are liste in Calenar an in Assignment Due Dates pf file in Canvas. Your course grae will be etermine accoring to the following scale. 8

9 There will be no aitional curve in this course, an extra assignments for iniviual stuents to improve a grae are NOT possible. A C A C * B D B D B D C E < 228 *Note: A grae of C DOES NOT give University General Eucation creit! For those taking the S U option: S[280 to 400 points] U[0 to 279] Approval of the S U option must be obtaine from your instructor an approve by the registrar s office. The ealine for filing an application with the Registrar an further information about the S U option are foun in the unergrauate UF Catalog. 3b. INCOMPLETE GRADES. A stuent who has complete a major portion of the course with a passing grae but is unable to complete the final exam or other course requirements ue to illness or emergency may be grante an incomplete, inicate by a grae of I. This allows the stuent to complete the course within the first week of the following semester. The stuent must contact the course instructor before finals week for epartmental approval an must provie ocumentation of the extenuating circumstances preventing him or her from taking the final exam. The grae of I is never use to avoi an unesirable grae, an oes not allow a stuent to reo work alreay grae or to retake the course. See the official policy at Missing a final exam ue to negligence, however, will result in a minimum 10 point penalty. 3c. GETTING STARTED, SYLLABUS QUIZ(bonus). DIAGNOSTICS QUIZ(bonus). Log in to Canvas an click on the Start Here page. Watch the Introuctory vieo an then rea the syllabus. After you feel comfortable with the course policies, take the syllabus quiz poste in Canvas for extra creit. You also earn extra creits from completing the Diagnostic Quiz in WA. The syllabus quiz is to make sure you unerstan what is expecte of you in this course an the iagnostic quiz provies a review of the require precalculus an calculus I skills. (see 3h). After completing the introuctory part, you are reay to move to the main content: Lecture 1 Lecture 37. NOTE: You must get at least 80% on the syllabus quiz before you can unlock the course. Please contact your TA if you miss the ealine, in which case, you will lose the bonus points 9

10 opportunity, but you still nee to take an pass it with 80% to unlock the course. Your TA is your main contact of the course. 3. VIDEOS AND LECTURE QUESTIONS. MAC2312 is organize into 37 lectures in Canvas, each lecture has an introuctory page incluing the concepts to be covere, things you nee to o for this lecture. From there, you may link to the lecture vieos, a copy of the note outlines for each lecture. Viewing the vieo is an important aspect of the learning process. There are several lecture questions in Lecture Quiz to be complete at the en of each lecture. You will earn points by completing lecture questions by the specifie ue ate. You shoul work these problems after you watch the lectures an then enter your answers irectly in Canvas. We encourage you to use the notes, the text as well as the vieos or the iscussion boar to help answer these questions which are not time, you have 3 submissions to complete each question. These questions pertain to the concept recently covere. It is best to o them as soon as possible. Post questions on the course iscussion boar if you nee clarification of a topic. The Browar Teaching Center at UF provies online homework support an is a valuable resource. NOTE: We have, since the taping of the lecture vieo, change to a ifferent text book where chapters are arrange slightly ifferently, however, the contain remains the same. Please go by the topic name when the section numbers o not match to fin the appropriate section in the book. NOTE: There are minor typos in some of the lecture vieos. Post them in DB if clarification is neee. 3e. WEBASSIGN HOMEWORK. Online homework aministere in WebAssign is planne to review concepts an provie practice of the lecture material. The homework problems are grae by the software an you see your score immeiately after submitting your work. You will have unlimite time before ue ate with limite submissions for each problem, there are ais an a link to the e-text to help you solve questions. NOTE: Always rea the Description an Instruction in the assignments for more etails. NOTE: There are no makeups. You can request an extension on WA homework within 24 hours after the ealine to complete it immeiately. The extension request must be submitte in WA irectly, an you must NOT select to VIEW the Answers. There is a 20% grae penalty for those problems complete after the original ue ate. Do not try to complete an assignment in one sitting; start an submit early so you won t miss the ealine. The homework will be close for submission after the ealine/extension, but remains open for review an practice till the en of the term. NOTE: If you misse a ue ate, go to the next HW in orer to not fall behin in the course. The purpose of WA assignments is to practice problems in orer to unerstan an master the material 10

11 learne. Complete them before each exam. Complete them after exams is not helpful to your learning nor your graes. While working in WA, you are avise to always click the SAVE button to save your answers. This SAVE oes not reuce the number of submissions allowe, but helps your TA to retrieve the last save answers in the case of any internet troubles or if you forget to submit your answers. The WebAssign Homework is open book an open note. If you are experiencing a problem with logging in, registration, or WebAssign in general, please contact WebAssign Support. Their contact information is on their homepage. Get the trouble shoot ticket number an your TA immeiately after this. NOTE: WebAssign Homework an Lecture Questions account for almost 1/4 of your total course score, to reflect their importance in unerstaning course concepts. Your total WA homework will be cappe at 50 points, but the total points available are higher to offset possible creit lost ue to technical ifficulties. NOTE: The total WA available points are 69+ points where 14 of such points are from optional Exam Review assignments that earn you extra creits. 3f. EXAMS. See 4. TESTING. 3g. EXTRA CREDIT. You may earn 20+ aitional points (5+% of the course grae) beyon the require grae work in the following ways: 1. SYLLABUS QUIZ (3 points), DIAGNOSTIC QUIZ (2 points). These are to introuce you to the format of the course, an to provie a review of the require precalculus an calculus I skills. They are not time but ue before the ealine specifie on the course calenar, you have limite submissions per question. 2. EXAM REVIEWS (12 points). Before each of the exams an Exam Review will be open in WA for practice an extra creit. The review will have a flavor of the type of questions you will see on the actual exam. It is not time, you have limite submissions per question an must be submitte by the ue ate. See course calenar. 3. DISCUSSION BOARD (2x4=8 points). We encourage you to use the Discussion Boar regularly to ask an answer questions about the course material an homework. In aition, you may earn extra creit by posting a question an answering at least one question poste by another stuent for each exam review. Questions must be appropriate an relate to the course material to earn creit. Posting just a screen shot of WA questions without your work of attempting the solution oes not give you extra creit. These are ue on the evening before each exam so you will nee to start the EXAM REVIEW early in orer to participate. 11

12 Please post your questions to the iscussion boar. Do not use for problems relate to the course homework, lecture quiz, or exam review questions. This is your forum, you get most out of it by actively participating in Q/A. When you use the iscussion boar instea of , everyone will benefit rather than just you an it is likely that others are experiencing the same problems. If you know the answer to a question poste on the iscussion boar, please o not hesitate to answer it. The course coorinator an TA will answer questions on the iscussion boar twice a week. However, we o not answer the posts for the Exam Review Bonus posts so stuents have a chance to answer an earn bonus point. We will check to make sure the answers provie are correct. 3i. ADDITIONAL PRACTICE PROBLEMS. There are also problems liste at the en of each lecture in the note outlines, calle Now You Try It. These were written by the course coorinator an are esigne to emphasize the important concepts an practice of the lecture material. Some of them are inclue in the Lecture Quiz as well. These problems are not grae, but it is strongly encourage that you work them out. Answers are poste along with the problems in the notes. 4. TESTING. There are three 90-minute unit exams an one two-hour cumulative final exam. The exams will be given in Canvas an aministere through ProctorU. You must register with ProctorU at for each exam at least 1 week prior to the exam ate to scheule a 120 (90+extra 30) minutes time block for each unit exam an a 150 (120+30) minutes block for the final. All exams are open from 1 10PM EST only, scheule your exam to start no later than 7PM EST. Make sure you are available to take the exam at the esignate ate an time. Possible ProctorU issues, temporary internet isconnects uring exams: We offer 30 extra minutes on all exams to compensate for possible isconnect problems, times when the keyboar is isable by ProctorU, or any other technical issues that may arise. Please o not request a retake for any exam unless you have ocumente evience that your isconnect or other technical issues exceee 30 minutes an not ue to your negligence. If you are uncertain as to the reliability of your internet service provier or internet connection, fin a place to take your exam where the connection is reliable or take the conventional course. We urge you to connect to Proctor U Help Desk representatives, at least a few ays prior to your exam, an o a live chat via Connect to a live person to confirm your connection an equipment are all goo. It is your responsibility to be sure that you have a reliable Ethernet internet connection an verify with the proctor for an acceptable 12

13 internet spee, location & environment (ex. webcam) to ensure that it meets proctoring requirements. Go to for more etails. If your answers are not receive by Canuevas ue to your faulty connection/equipment, they are lost for goo, we are not able to take anything else to replace your lost answers. 4a. SEMESTER UNIT EXAMS.. Each Unit Exam will be given in Canvas an score on a scale of 0 to 70 points, consisting only multiple choice questions. The exam is locke after the test. You may request a private conference through Canvas with your TA to review your exam. 4b. FINAL EXAM. A manatory, cumulative final exam in Canvas will be given on the ate shown in the course calenar. The exam consists of multiple choice questions only an grae on a scale of 0 to 100 points. Note: You may NOT use a calculator or any other ai for exams. Be sure to rea the ProctorU hanout thoroughly to unerstan the exam proceures before you start a test. 4c. MAKEUP POLICIES. All makeup work must be pre-approve by the course TA complete by the ate specifie on the calenar. 1. Make up Exams: To be eligible for a make up without the 10-point penalty, you must have signe up with the TA at least two weeks prior to the exam ate (unless last minute emergency) with vali ocumente UF approve excuses an have complete at least 80% of the homework, lecture questions an Exam Review so far. If illness or other last minute extenuating circumstances cause you to miss an exam, you must contact your TA within 24 hours after the exam with a vali ocumentation for approval to rescheule the exam with ProctorU. The eligibility requirement state above still applies. 2. Make up WebAssign Homework: No make-ups. (see 3e). You must start your homework an quizzes in plenty of time to allow for any computer, internet an all other issues. 3. Other make ups: There are no make ups on the Diagnostic Quiz, Syllabus Quiz, Discussion Boar Posts, Lecture Quiz an Exam Review. We o not accept any late excuse ocumentation. You must immeiately report to your TA any problems with any assignments after you have requeste the appropriate help an get the confirmation number of such requests when appropriate. 13

14 The make up exam for an unit exam, if approve, is on the last Monay of the summer term, aministere by ProctorU. You are responsible to scheule it at least 1 week prior with ProctorU. 5. ABOUT THE ONLINE WEBASSIGN ASSIGNMENTS: For some of the stuents, this coul be the first time seeing the challenging concepts in this course. To put these complex topics into perspectives so that stuents can conceptually break own the topics slowly an overtime become quicker with, the entire course is organize aroun a list of Learning Objectives that emonstrates mastery of various topics in the course. These objectives fall into three categories: Prelecture (P) objectives in which you will watch vieo, rea from the textbook an work exercises to review algebraic skills, gain exposure to the new material an to prepare yourself for the sections to come. Concept Check (CC) objectives that aress basic terminology an computations base irectly on theorems, efinitions an examples of the section. More Practice (MC) objectives aress higher-level tasks such as synthesis of multiple techniques an creative work through application. The ue ates for the Lecture vieos questions an WA homework are mappe out carefully so stuents o not forget one topic as you are learning another an helps reinforce previous knowlege. WA assignments are sprea out 3 times a week with smaller sets arrange by the topics to help stuents to stay more on track an to unerstan the focus of each topic, rather than as one larger weekly assignment. This is to encourage stuents to focus on in-epth mastery of each topic rather than to merely meet a weekly ealine. 6. FORMULAS YOU ARE EXPECTED TO KNOW. This course assumes that you have a soun precalculus an calculus 1 backgroun. The following is a summary of some important concepts use in solving calculus problems. The textbook provies a more complete review of these essential topics. COMPLETING THE SQUARE x 2 + ax + b = (x + a 2 )2 + (b ( a 2 )2 ) LAW OF EXPONENTS a n+m = a n a m a n m = an a m (a m ) n = a mn 14

15 PROPERTIES OF logarithms log b xy = log b x + log b y log b x y = log b x log b y log b a m = m log b a, log b x = ln x ln b PARABOLA y = f(x) = ax 2 + bx + c CIRCLES (x a) 2 + (y b) 2 = r 2 Vertex x = b b, y = f( ) 2a 2a Center (a, b), raius = r Derivatives (sin x) = x (csc x) = x (cos x) = x (sec x) = x (tan x) = x (cot x) = x (arctan x) = x x (ax ) = x (ex ) = x (log ax) = (ln x) = x Integrals 1 x x = ex x = a x x = sin x x = cos x x = tan x x = cot x x = sec 2 x x = csc 2 xx = sec x tan x x = cot xcsc x x = tan 2 x x = cot 2 x x = 1 a 2 + x 2 x = Trig Ientities sin 2 x + cos 2 x = 1 tan 2 x + 1 = sec 2 x 1 + cot 2 x = csc 2 x sin 2 x = sin 2x = cos 2 x = cos 2x = Know values of sin x, cos x, tan x at x = 0, π, π, π 6 4, π 3 2 ; arctan(a) at a=0, 1, sqrt(3), 1/sqrt(3). 15

16 (know the values of the other trig. functions at these angles an know the values of all trig functions at complementary an supplementary angels of the angles above) Chain Rules (f(g(x)) = f (g(x))g (x) Derivative of an Inverse If g = f 1, then g (x) = 16