MAC 2312: CALCULUS 2 SPRING 2015

Transcription

1 Contact Information: MAC 2312: CALCULUS 2 SPRING 2015 Course Coorinator Name: Chui Office: 376 Little Hall Office Hours: MWF7 Phone: Please use Mail in Sakai Course homepage is on e-learning Sakai, Course Lecturer Name: Office: Office Hours: Phone: Discussion Leaer (TA) Name: Office: Office Hours: Phone:

2 MAC2312 Calculus 2 Course Policies an Syllabus 1. Calenar page 2 2. Introuction (a) Course Content page 3 (b) Prerequisites page 3 (c) Require Materials page 3 () E-Learning Sakai page 4 (e) Lectures page 4 (f) Discussion Sections page 5 (g) Free Help page 5 (h) Success page 6 (i) Stuents with Disabilities page 7 (j) Acaemic Honesty page 7 3. Testing (a) Semester Exams page 8 (b) Final Exam page 8 (c) Important Exam Policies page 8 4. Graing (a) Course Grae page 10 (b) Written Homework page 10 (c) Online(WebAssign) Homework, Quiz page 11 () Discussion Quizzes page 11 (e) Class Participation Points page 11 (f) Make-up Policy page 12 (g) 10-Minute Policy page 13 (h) Incomplete Grae page General Eucation Information page Prerequisites page 15 1

3 MAC 2312 Calenar, Spring 2015 Monay Tuesay Wenesay Thursay Friay Jan 5 6 First Discussion 12 L L1 L WA Diagnostic* 16 L2 L5 19 MLK Day No Class 20 WA HW1* Quiz 1^ 21 L6 22 Quiz 1^ 23 L7 26 L8 27 WA HW2* Quiz 2^ 28 L9 29 Quiz 2^ 30 L11 Feb 2 L12 9 L14 3 WA HW3*/Quiz 1* 10 WA HW4* HW 1^ 4 11 L13 L L10/REVIEW EXAM 1** HW 1^ L16 16 L17 17 WA HW5* Quiz 3^ 18 L18 19 Quiz 3^ 20 L19 23 L20 Mar 2 No Class 9 16 L24 L26 24 WA HW6* Quiz 4^ 3 SPRING No Class 10 WA HW7*/Quiz 2* 17 WA HW8* HW 2^,Quiz 5^ 25 4 L21 No Class 11 L23/REVIEW 18 L27 26 Quiz 4^ 5 BREAK No Class 12 EXAM 2** 19 HW 2^,Quiz 5^ L22 No Class L25 L28 23 L29/L30 24 WA HW9* Quiz 6^ 25 L30/L31 26 Quiz 6^ 27 L31/L32 30 L33 6 L35/REVIEW 31 WA HW10* Quiz 7^ 7 WA HW11*/Quiz3* April 1 L33/L34 8 L36, Part I 2 3 Quiz 7^ 9 10 L34 L36, Part II 13 L37 14 WA HW12* HW 3^ 15 L37 16 HW 3^ 17 REVIEW 20 REVIEW 21 No Class/ WA HW13*/Quiz4* 22 REVIEW 23/24 No Class /Reaing Day All clickers must be registere an scores verifie by Thursay 23, otherwise 0. FINAL EXAM: Saturay, April 25, 5:30 7:30PM *Web Assign(WA) Diagnostic, WA Homework, WA Quiz ue: 9 PM. ^ Discussion Homework an Discussion Quiz take place in iscussion. **Testing Times: 8:30-10:00 PM. Locations will be announce in Sakai. 2

4 2. INTRODUCTION 2.a COURSE CONTENT: MAC 2312 is the secon in the three-semester sequence MAC 2311, MAC 2312, MAC 2313 covering the basic calculus. Intene topics will inclue integration techniques, infinite sequences an series, polar coorinate an application of efinite integrals. A minimum grae of C (not C ) in MAC 2312 satisfies four creits of the university General Eucation Math requirement. 2.b PREREQUISITES: MAC 2312 assumes that you have strong essential precalculus skills (both algebra an trigonometry) an calculus I skills necessary to succee in calculus 2. Stuents shoul be able to o arithmetic without a calculator. To enroll in MAC 2312, you must have earne a grae of C or better in MAC 2311, earne calculus creit through an exam or earlier coursework. You may take the ALEKS assessment to refresh your algebra an/or trigonometry skills through the ISIS homepage isis.ufl.eu; click on Placement uner My Online Services. For more complete information, check the page isis.ufl.eu/aleksinfo.html. I encourage you to refresh your prerequisite math skills even if you have met the prerequisites. Quite often, your algebra, trigonometry an calculus 1 skills may nee review an your placement assessment can provie information an specific areas for aitional stuy. A Diagnostic Quiz in WebAssign an Prerequisite in section 6 of this syllabus are provie as review topics. MAC 2312 begins with the integration chapter. You shoul alreay be competent in integrating simple functions such as power functions, exponential, sine an cosine functions, an the use of simple u-subs, etc. We strongly recommen stuents who are having ifficulty with the simple integration review material consier first taking MAC 2311, a four creit calculus course reviewing essential ifferential calculus skills an algebra an trigonometry skills. You may switch courses on ISIS uring the rop-a perio. The ealine is Monay, January c REQUIRED MATERIALS : WebAssign (WA): Online homework an quiz from WA will count towars your grae. The text book, Calculus: Early Transcenentals, 2n eition by Rogawski, may be accesse as an ebook by purchasing the require WebAssign access coe online at or from local bookstores. It is not require, but some stuents prefer a har copy of the text for future reference. If so, feel free to get an use text, then you will only nee the WA access coe for just the homework an WA. However, we o not recommen that you purchase a use bunle (book + WA access coe) online except through the WebAssign website since the access coe may be use or efective. WA is open on January 8 an you have two weeks grace perio to use WA before you must pay for access. Details will be provie in the first week iscussion. H-ITT class responer system ( clicker ) to allow stuents to participate in lecture. Information will be provie in class an on the MAC 2312 homepage in Sakai. 3

5 Access to a working computer: All online assignments shoul be taken on a computer, not cell phone or tablet since there may be compatibility issues with WA. Be sure you are using a browser that works with WA. Please check for WA browser recommenations: htm. Any WA questions shoul be irecte to your TA an/or the WA helpesk. Stuents are responsible for having access to a working computer an have your work complete on time. Complete your work early. If you wait to complete your work an you run into any ifficulties to submit your work, you are out of luck. Neither creits nor extension for work not successfully submitte will be grante. Lecture Notes Outline: Bring it to each lecture (see section 2e). Calculators : NOT require. A graphics calculator an Wolframalpha can be useful stuy an learning tools when use appropriately, but are not essential. Calculus is a collection of ieas that are not mastere through calculator skills. No calculators are allowe on quizzes or on the exams 2. E-LEARNING SAKAI: A UF course management system, is locate at lss.at.ufl.eu. Use your Gatorlink username an passwor to login. All course information incluing homework assignments, lecture outline, office hours, test locations an reviews, your graes an the syllabus are poste on this site. In aition, Sakai provies a mail tool for communication. All graes are poste in the Sakai graebook 2 (except iniviual WebAssign an HITT points, which are accesse through those programs irectly). You are responsible for verifying that those graes are accurate. You have one week after a score has been poste to contact your TA to resolve any grae concerns. We will not consier any graing isputes nor make any graes ajustment at the en of the semester. Be sure to save all original ocuments in case of graing questions. Please note: Important course information is clearly communicate in this syllabus an the MAC 2312 homepage in Sakai. We will upate with announcements both in lecture an through Sakai. Check regularly for announcements which are also sent to your so you can check easily on your smartphone. Due to the volume of your instructors receive, we cannot reply to each request for information that is alreay poste online. So always check those resources first. If you must the coorinator, please use the mail tool in Sakai an be sure to write own your iscussion section numbers an your TA s name with your in the subject line in all mail corresponence. 2.e LECTURES: This class meets for three 50-minutes lectures an one 50-minutes iscussion section per week. An approximate scheule for lectures is in the course calenar. You are require to atten all lectures an responsible for learning lecture material misse ue to an absence. Please be on time to class, an if you must leave early, sit in the back of the lecture hall. When your lecturer or a fellow stuent is talking to the class, please o not talk to your neighbor. Even in a large lecture hall this can isturb stuents an the instructor. 4

6 Lectures will be use to introuce you to the funamental concepts an theory of calculus an will follow as closely as possible the calenar provie in this syllabus. On the ays where a lecture is being repeate inicates a catch-up ate if behin, otherwise we move forwar to the next lecture. Stuents can print out the lecture outlines from Sakai through Lecture Notes link. You may also purchase a har copy from Target Copy Center (1412 W University Ave). Within a ay after class, worke out solutions to the lecture examples will be available to copy on the oor of Little 376, Monay through Friay from 8AM - 4:30PM. You may use your smart phone to take a picture of complete notes. We unerstan stuents often nee to re-watch a lecture to review ifficult concepts. For your convenience, MAC2312 lectures are tape. To watch the lecture vieo, please click on the links in Sakai: Chui Tape Lectures an/or Severa Tape Lectures. EXPECTATION: This is a very challenging course. Treating it as anything less than that is inherently unwise, both for your learning an for your grae. This means that *at a minimum* we expect stuents to spen 2 hours effectively stuying outsie of class for every hour in class. (We use to say 3 hours outsie classroom for every hour in class... In personal opinion, this is more realistic if you really want to excel). MAC2312 is a 4 creit-hour course, which means each stuent is responsible for spening at least 8 hours per week preparing for this course outsie the classroom. Most of this time will be spent working on homework. Stuents are also expecte to review their notes an rea ahea regularly. If you are not oing as well as you woul like in MAC2312, you may nee to put forth more effort. 2.f DISCUSSION SECTIONS, which meets once a week (either Tuesay or Thursay, epening on the section in which you are registere) gives you a valuable opportunity for open iscussion of the lecture material an assigne problems in a smaller class setting. Attenance in iscussion is require; a significant portion of the points that etermine your grae in the course are earne in your iscussion class. However, one perio per week is generally not aequate to answer all questions. Be sure to take avantage of the opportunities of our office hours. Your main resource person is your iscussion leaer, a teaching assistant (TA) in the mathematics epartment. He or she is available uring office hours (or by appointment) to answer your questions about the course material. Your TA is responsible for graing an recoring all quiz, homework, an test scores. You must retain all returne papers in case of any iscrepancy with your course grae. As mentione above, you shoul check Sakai regularly an consult with your TA if you have any questions about recore graes. All grae concerns must be taken care of within one week of the posting of the score. 2.g FREE HELP: In aition to attening your lectures an iscussion section regularly an visiting your iscussion leaer, lecturer or the course coorinator uring their office hours, the following ais are available. There is no reason to struggle on your own. Do Not fall behin. The office hours of all MAC 2312 TAs. A link will be provie secon week of the semester to the office hours of all MAC2312 TAs that you can go to for help. 5

7 The Teaching Center Math Lab, locate at SE Browar Hall offers free tutoring. Tutors will be gla to provie guiance on specific problems after you have attempte them on your own. You may want to atten ifferent hours to fin the tutors with whom you feel most comfortable. You can also request free one-on-one tutoring. The math lab also offers supplemental instructor (SI), a tutor assigne specifically to MAC 2312, who provies weekly help sessions, hols reviews on the evenings before each exam. The math lab also provies vieos of review an sample test problems. Check the webpage, teachingcenter.ufl.eu, for a map of the location, tutoring hours an test review ates an locations. All stuents arestrongly encourage to use the teaching center services. Office of Acaemic Support offers free one-on-one an small group tutoring sessions to any UF stuents. See for etails. UF Counseling Center provies information an workshops on eveloping Math Confience. The center also offers counseling support in case of issues with acaemics, ajusting to the stress of college life, or personal challenges. Please use this resource before you get overwhelme! You may also speak to your instructor or an avisor in your college if you are having ifficulties. You may contact the center at Lectures are tape for your convenience if you fin the nee to review a lecture. This also allows you to copy the worke-out solution presente in lectures if neee. But o NOT use this opportunity to rationalize skipping classes. WA offers solution vieo, animation an other learning tools within each question. Textbooks an solutions manuals are provie at the reserve esks at Marston Science Library. Private Tutors: If after availing yourself of these ais, you feel you nee more help, you may obtain a list of qualifie tutors for hire at Search for tutors. 2.h SUCCESS: Engage (participate & proactive) in class, Complete Assignments on time (practice & practice), Keep Pace with the course, Utilize help. Do NOT Fall Behin. Other than having a strong precalculus an calculus I backgroun, success in MAC 2312 epens largely on your attitue an effort. Attenance an participation in class is critical. It is not effective to sit an copy notes without following the thought processes involve in the lecture. For example, you shoul try to answer the questions pose by your lecturer, at least mentally. Stuents who o not actively participate generally have greater ifficulty. Review notes an work on assignment aily as oppose to saving it all for one ay. However, 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 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 6

8 vocabulary an main ieas before class. That way you will better be able to grasp the material presente by your lecturer. It can also be very helpful to stuy with a group. 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. It s a goo way for stuents to collaborate an the exchanges you have help you be more engage in the course an be more prepare an confient in classroom an in exams. This type of cooperative learning is encourage, but be sure it leas to a better conceptual unerstaning. Do not let a tutor, a frien or a calculator think for you. You must be able to work through the problems on your own. Even if you work together, each stuent must turn in his or her own work, not a copie solution, on any collecte iniviual assignments. If you get stuck, be sure to always go over your notes to see if you can fin the answer on your own. When you o ask for help, begin by stating what you have trie an what you are stuck on to allow others to better assist you. If you have one all that as suggeste above, an you are still not oing well in class, please o not suffer on your own. Talk to your TA, your instructor an let us fin out together how to better help you succee in this class. It s my hope that through focuse stuy an practice, you will gain a real appreciation for the important concepts of calculus an their application. We want you to succee in this class! But you must keep up with the course an take the initiative to see us an 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. 2.i STUDENTS WITH LEARNING DISABILITIES: Stuents requesting class an exam accommoations must first register with the Dean of Stuents Office Disability Resource Center(DRC), The DRC office will provie a ocumentation letter to the stuent to present to the course coorinator, Chui in Little 376. This must be one as early as possible in the semester, at least one week before the first exam, so there is aequate time to make proper accommoations. 2.j ACADEMIC HONESTY GUIDELINES: 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 conuct set forth hereinafter constitutes a violation of the Acaemic Honesty Guielines (University of Floria Rule 6C ). The Mathematics Department expects you to follow the Stuent Honor Coe. We are boun by university policy to report any instance of suspecte cheating to the proper 7

9 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 lectures given in this class are the property of the University/faculty member an may not be tape or use for any commercial purpose. Stuents foun to be in violation may be subject to iscipline uner the Stuent Conuct Coe. When submitting your clicker responses in lectures, each stuent sens in his or her own responses. Clicking in for another stuent is in violation of the Acaemic Honesty Guielines. In such case, both stuents will receive a zero for the attenance participation points for the entire course. When submitting written homework assignment, it must be your own iniviual work, your own paper. Any violation will result in all parties receiving a zero for the written homework grae for the course at the minimum. Any suspicious activities uring quizzes or exams will be consiere as cheating an violators will be taken to honor court where you may face automatic failure or even expulsion. With any kin of honor coe violation, at the very least, all parties not only receive a zero for the assignment, but also not allowe to retake the assignment nor the opportunity to rop the course. 3. TESTING 3.a SEMESTER EXAMS: During the semester, three tests will be given from 8:30 10PM on the ates shown on the calenar in this guie. These will be score on a scale of 0 to 60 points an will consist of both a multiple-choice section an a free response, partial creit section (tearoff sheet). There is no ropping of any exams. 3.b FINAL EXAM: A manatory, comprehensive final examination will be given uring the regularly scheule exam time for MAC 2312 as shown on the calenar an the online Scheule of Courses. This two hour exam is score on a scale of 0 to 80 an consists of multiple choice questions only (no tearoff sheet). The registrar s office etermines which exam has priority in the case of a conflict. 3.c IMPORTANT EXAM POLICIES: MAC 2312 requires that stuents take evening exams on the liste ates. There are no exceptions to this. Stuents with conflicts, incluing regularly scheule classes, must make avance arrangements to be present at the test. (see section 4f for more information). The following applies to all exams: (1) Exam locations will be poste in Sakai one week prior to each exam. 8

10 (2) Stuents are responsible for material covere in lectures, NYTI problems, an homework assignments. Questions will test mastery of concepts an inclue challenging calculation problems. A comman of prerequisites are assume. Sample tests are available from the Teaching Center one week before each exam. They serve as examples of general format an give you problems to practice. However, exam coverage an format may vary from semester to semester. Check mails an announcements for the exam information for this semester. (3) Bring only the following to the exam: Soft lea graphite pencils (number 2 lea or softer) for bubbling your scantron Ink Pen (To sign your test) Knowlege of your SECTION NUMBER an UF ID number Picture ID (UF Gator One car or your state river s license) with a legible signature Do not bring books or other ais; scratch paper is provie. Calculators are not permitte. DO NOT BRING ANYTHING OF VALUE TO THE EXAM, since all backpacks must remain at the front of the exam room uring testing. Cell phones an other electronic evices must be turne off an out of sight, out of reach. If any such evice rings, buzzes, or otherwise causes a istraction uring the exam, your test will be consiere to be compromise an your test scores will be penalize. (4) The Test Form Coe, as well as your UFID, name, an section number must be encoe correctly or you will lose 1 point. You must also take the test in your assigne test location or you will lose 3 points on your exam. (5) No stuents will be amitte to the test arriving 10 minutes after its starting time, an no one will be permitte to leave the exam room in the first 20 minutes. (6) An answer key will be poste on Sakai within one ay after each exam. To check your answers, recor them on the scratch paper that you keep after turning in your scantron an your entire exam. (7) Multiple choice(mc) scores will be poste within 2 ays after each exam. You then have one week to see your TA if you have questions about your MC grae. (8) Grae tearoff(fr) sheets will be returne in iscussion. You then have one week to see your iscussion leaer if you have questions about your exam grae. (9) Both MC an FR scores will be ae to Exam grae. One week rule applies here as well. Graes are not up for ispute after the one week time frame. 9

11 4. GRADING 4.a COURSE GRADE: Your course grae is base on 385 points accumulate as follows: WebAssign Diagnostic Quiz 5 WebAssign Homework (3 pts x13=39) 30 WebAssign Quizzes (5 pts x4=20) 15 Written Homework (5 pts x3=15) 15 Discussion Quizzes (best 5 of 7, 5 points x5=25) 25 HITT Class Participation Points 30 Discussion Class Participation Points 5 Semester Exams (60 points x3=180) 180 Cumulative Final Exam The total sum of points is your numerical score, which will be converte to a letter grae accoring to the following scale. The course grae is etermine by the number of points you earn, not by the percentage, an will be strictly enforce. There will be no aitional curve in this course, an extra assignments for iniviual stuents to improve a grae are NOT possible. A pts C pts A pts C pts B pts D pts B pts D pts B pts D pts C pts E pts *NOTE A grae of C DOES NOT give Goron Rule or General Eucation creit! For those taking the S-U option: S [ points] U [0-269 points] Approval of the S-U option must be obtaine from your instructor. The ealine for filing an application with the Registrar an further restrictions on the S-U option are given in the Unergrauate Catalog. For information about UF graes an graing policies, go to the UF unergrauate catalog: catalog.ufl.eu/ugra/current/regulations/info/graes.aspx For information on ropping courses an withrawals go to catalog.ufl.eu/ugra/current/regulations/info/rops.aspx#rop NOTE: We will not review ispute points at the en of the semester. All grae concerns must be settle within one week of the posting of the graes in WA an/or in Sakai an/or the of the H-itt report. 4.b WRITTEN HOMEWORK: As you work on your online WA homework, work out your solution step-by-step, algebraically, logically an thoroughly. Rewrite your work neatly if neee to be turne in for written homework grae. Your TA will let you know 10

12 what he/she requires in the first iscussion section. It s your responsibility to know your TA s requirement. The written homework will be collecte by your iscussion leaer three times uring the semester on the ates shown in the course calenar. You must bring all the homework, neatly separate by sets. The assignments will be grae on a scale of 0 5 points; each is grae for completeness an accuracy. The work must be your own an not taken from other sources. Calculus material is cumulative, so you shoul complete each assignment as thoroughly as possible before your next class. While some problems may look similar, they emonstrate a unique etail of a calculus skill. If you are having ifficulty with any homework assignments, please seek timely help from a TA, the SI or your instructor uring scheule office hours as well as the tutors at the Browar Teaching Center so you will not fall behin. Be sure to start problems early so you have plenty time to get your questions answere! 4.c ONLINE HOMEWORK, ONLINE QUIZ: The online assignments aministere in WebAssign is to provie a timely practice of the material learne. They must be submitte before the ue ate inicate in the calenar an all online tasks are ue at 9PM. Some homework problems may suggest the use of a graphing calculator. They are esigne to help you visualize important concepts an to reinforce the mathematical processes involve. The use of a calculator is recommene but not require. When a calculator may be neee for your answer, it will be inicate in the Instruction section of the WebAssign assignment. There are 13 sets of homework, worth 3 points each. They are untime (except for the ue ate) an you have 10 tries for each problem. There are ais an a link to the ebook to help you with the homework practice. You must obtain 70% on the homework before you can access the quizzes on that material. Your scores will count up to a maximum 30 points, but the total number of points available is 39 to offset any creit loss. WebAssign Quiz, worth 5 points each, will be poste four times uring the semester. You have three attempts an three hours to complete each set. The clock starts running from the time you open your quiz. There are NO ais nor inication after each submission. However, you may review the correct answers an see the scores in the WA graebook after the ue ate. Your scores will count up to a maximum 15 points. 4. DISCUSSION QUIZZES: Your iscussion leaer will aminister seven quizzes in iscussion, on the ates liste in the course calenar. Each will be grae on a scale of 0 to 5 points, an the top 5 scores will count, to total up to 25 points. The quiz will be base on previous lectures an homework assignments. 4.e CLASS PARTICIPATION POINTS: Up to 30 points may be earne by attenance in lecture an solving problems in class. Points will be collecte through the use of the H-ITT course responer system (clicker). Stuents are responsible for having a working clicker or smart phone. Check your clicker ID is isplaye on the screen each time it s use in lecture. Weekly HITT graes report will be sent to your UF . Resolve any issues immeiately. No H-ITT points can be recovere or mae 11

13 up. Contact the merchant or the HITT company if you have issues with your clicker. Register your clicker AFTER YOUR FIRST successful use when you see your clicker ID isplaye on the screen in class. More etails will be available in class an on the course home page in Sakai. As mentione before, submitting clicker responses for another stuent is a serious honor coe violation. (section 2j) In aition, you have a chance to earn up to 5 points to participate in your iscussion class uring the semester. Coming to iscussion late, working on your own things incluing cell phone, computer will NOT earn you the points. Your TA will provie more etails in the first iscussion class. It s stuents responsibility to unerstan the etails. Following university policy, you may expect a penalty (aitional lost points) for attening fewer than 75% of your classes. In aition, you will lose the opportunity to earn aitional points if available at the en of the semester. NOTE: Homework, quizzes an class participation points account for 125 points of the total to be earne in the course. They are a significant part of your grae, to reflect their importance in attenance, an the rigorous homework practice in unerstan the material. 4.f MAKE-UP POLICY: All make-up work must be signe up with the coorinator, Chui, in LIT 376, uring office hours an complete by Wenesay April 22. Exam Conflicts - UF uring Term Assembly Exam Policy ( catalog.ufl.eu/ugra/current/regulations/info/exams.aspx): Exams may be hel Monay Friay from 8:20 10:10PM (perios E2 E3) for the fall an spring terms. If other classes are scheule uring an exam time, instructors must provie make-up class work for stuents who miss class because of an assembly exam. If two exams are scheule at the same time, assembly exams take priority over time-of-class exams. When two assembly exams conflict, the higher course number takes priority. Instructors giving make-up exams will make the necessary ajustments. If MAC 2312 is the lower course number, stuents must inform Chui in person uring office hours at least ONE WEEK prior the exam ate to sign up for a conflict exam. Otherwise it may not be possible to rescheule. The conflict exam will be offere from 6:30 8:15 on the same night as the regular exam. You will not be permitte to leave the exam room before 8:20PM. Make-up Exams: If you are participating in a UF sponsore event or religious observance, you may make up an exam only if you make arrangements with Chui in her office uring office hours at least ONE WEEK PRIOR to the event. You must present vali ocumentations. If illness or other extenuating circumstances cause you to miss an exam, contact Chui immeiately (no later than 24 hours after the exam) by . Then, as soon as possible after you return to campus, bring the appropriate ocumentation to Chui s office hours in Little 376 to sign up to take a makeup 12

14 exam on the last Wenesay of the semester. To be eligible for this makeup you must have receive at least half of the lecture participation points that have been given so far. All others incluing missing an exam ue to negligence will result in 10% grae penalty. Makeup exam length an content may not match the regular exam an its format is all multiple choices. Make-up Discussion Quizzes: There are no make-ups, unless: 1. You are participating in a UF sponsore event, for which you must bring your ocumentation at least one week prior to your TA. 2. you miss at least three iscussion quizzes for which you have vali, ocumentable reasons for your absences. You will be allowe to make up the excuse absences that are in excess of two. To be eligible for a make-up you must have receive creit for at least half of the lecture participation points. Bring your ocumentation to your TA within one week of your thir iscussion quiz absence. 3. you miss because of a religious holiay. You must notify your TA within the first three weeks of class. 4. you miss because of a court-orere obligation - see your TA. Make-up written Homework collection: There are no make-ups, unless, 1. If you have an excuse absence, are observing a religious holiay or are participating in a University of Floria sponsore event, make a prior arrangement with your TA to turn in all written assignments within 24 hours of its ue ate along vali ocumentation. 2. you are present in iscussion at the time of the collection but forgot to bring your homework. In this case, you have 24 hours to bring the ENTIRE homework sets to your TA. You must notify an make arrangement with your TA before you leave the iscussion that ay. Make-up WebAssign HW an Quiz: There are no make-ups. Make-up Clicker points: There are no make-ups. 4.g 10-MINUTE POLICY Only the stuents who are present within the first 10 minutes of the class an stay for the entire perio will be allowe to participate in the class activities (incluing submitting clicker answers, taking iscussion quizzes, an turning in written homework assignments). 4.h INCOMPLETE: Stuents who complete a major portion of the course with a passing grae but are unable to complete the course because of illness or emergency may be grante an incomplete grae of I which will allow the stuent to complete the course within the first two weeks of the following semester. See the policy on http: // If you meet the criteria, you must see Chui before finals week to be consiere for an I. An I only allows you to make up your incomplete work, not reo your work. 13

15 5. GENERAL EDUCATION INFORMATION MAC 2312 has been esignate a General Eucation course that can be counte towars the Mathematical Science (M) requirement. Course Objective: The primary goal of the course is to help stuents unerstan an apply the funamental principles of integral calculus, convergence of infinite sequences an series, construction of power series, an the calculus of parametric equations an polar coorinates. Stuent Learning Outcomes (SLOs) for MAC 2312 are as follows: I. Content Master the techniques of the integration. Introuce the infinite sequences an series an the concepts of convergence. Develop the techniques of tests for convergence. Introuce power series. Introuce parametric equations an polar coorinates. II. Critical Thinking Apply techniques of integration an critical thinking effectively to solve applie problems incluing volumes of solis an volumes of revolution. Construct series representations of functions using the geometric series moel an the Taylor theorem. Using series representation to approximate function values, perform integration an approximate efinite integrals. Apply the Funamental Theorem of Calculus to the evaluation of arc length of parametric equations, evaluate tangent lines to a parametric equations an fining area enclose in a polar region. III. Communication Communicate mathematical finings clearly an effectively using written an/or graphic forms. The SLOs are assesse through weekly iscussion, homework assignments an quizzes, three semester exams an final exam. 14

16 PREREQUISITES FOR MAC2311 This course assumes that you have a soun precalculus 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. ALGEBRA 1. Basic Geometric Formulas: (b = base, l = length, h = height, w = with) Triangle: area = 1 2 bh Circle: area = πr 2 ; circumference = 2πr Parallelogram: area = bh Rectangular box: volume = lwh Sphere: volume = 4 3 πr3 ; surface area = 4πr 2 Right circular cyliner: volume = πr 2 h; surface area = 2πrh + 2πr 2 Right circular cone: volume = 1 3 πr2 h; surface area = πr r 2 + h 2 Facts about similar triangles Pythagorean theorem: x 2 + y 2 = z 2 z y x 15

17 2. Basic Functions an their graphs: f(x) = x; f(x) = x 2 ; f(x) = x 3 ; f(x) = x ; f(x) = x; f(x) = 1/x; f(x) = b x, b > 0 an b 1, such as f(x) = 2 x 3. Factoring: x 3 + y 3 = (x + y) (x 2 xy + y 2 ); x 3 y 3 = (x y) (x 2 + xy + y 2 ); etc. 4. Fractions: a b + c a + bc =, etc. b 5. Exponents: x n y n = (xy) n ; x n x m = x n+m ; x n x m = xn m ; (x n ) m = x nm 6. Roots, incluing rationalizing the enominator or numerator. n x = x 1 n ; x n = 1 x n, etc. 7. Inequalities an absolute values: x a a x a; x > a x > a or x < a 8. Equation solving: Fining solutions for x if ax + b = 0; ax 2 + bx + c = 0; etc. 9. Logarithms: If x > 0, log a x = y if an only if x = a y If m > 0 an n > 0, then log (nm) = log (n) + log (m) log (n c ) = c log (n) log ( n = log (n) log (m) m) 16

18 TRIGONOMETRY 1. Ientities: sin( θ) = sin θ cos( θ) = cos θ tan( θ) = tan θ ( π ) ( π ) ( π ) sin 2 θ = cos θ cos 2 θ = sin θ tan 2 θ = cot θ sin 2 θ + cos 2 θ = 1 sec 2 θ = 1 + tan 2 θ csc 2 θ = 1 + cot 2 θ 2. Sum an Difference Formulas: sin(a ± B) = sin A cos B ± cos A sin B cos(a ± B) = cos A cos B sin A sin B tan(a ± B) = tan A ± tan B 1 tan A tan B 3. Double Angle Formulas: sin 2θ = 2 sin θ cos θ cos 2θ = cos 2 θ sin 2 θ = 2 cos 2 θ 1 = 1 2 sin 2 θ 4. Half-Angle Formulas: sin 2 θ = 1 cos 2θ 2 cos 2 θ = 1 + cos 2θ 2 5. Trigonometric Values: θ 0 π/6 π/4 π/3 π/2 sin θ 0 1/2 2/2 3/2 1 cos θ 1 3/2 2/2 1/2 0 tan θ 0 3/3 1 3 unef 6. arctan x = at x = 0, 1, 3,

19 PREREQUISITES FOR MAC2312 This course assumes that you have a soun calculus 1 backgroun. The following is a summary of some important concepts an formulas use in solving calculus problems. The textbook provies a more complete review of these essential topics. : FORMULAS YOU ARE EXPECTED TO KNOW 1. COMPLETING THE SQUARE: x 2 + ax + b = ( x + a ) ( 2 ( ) a 2 + b 2 2) 2. PARABOLA: y = f(x) = ax 2 + bx + c, vertex x = b ( 2a, y = f b ) 2a 3. 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 a x) = (ln x) = x 4. CHAIN RULES (f(g(x))) = f (g(x))g (x) 5. DERIVATIVE OF AN INVERSE FUNCTION If g = f 1, then g (x) = 18

20 6. INTEGRALS: 1 x x = e x x = a x x = sin x x = cos x x = tan x x = cot x x = sec 2 x x = csc 2 x x = sec x tan x x = cot x csc x x = tan 2 x x = cot 2 x x = 1 a 2 + x 2 x = 19