University f Texas at Austin Curse Syllabus Department f Mathematics M 408 N: Differential Calculus fr Science Fall 2012 I. Curse Title: M 408N Differential Calculus fr Science II. Lcatin and Time: WAG 101 Tuesdays and Thursdays 12:30 pm 1:45 pm (Unique Number 55700) RLM 5.124 Mnday and Wednesday 9:00 am 10:00 am (Unique Number 55705) RLM 5.122 Mnday and Wednesday 2:00 pm 3:00 pm (Unique Number 55710) RLM 5.120 Mnday and Wednesday 3:00 pm 4:00 pm III. Instructr: Mark M. Maxwell, PhD, ASA Clinical Prfessr f Mathematics Paul V. Mntgmery Fellw f Mathematics Actuarial Studies Prgram Directr INITIAL HERE Office: RLM 11.168 Office Hurs: August 29 th thrugh December 6 th RLM huse rules apply. Banned wrds. Order f service in effect. Tuesday and Thursday 10:45 am 12:15 pm Wednesday 9:30 am 11:30 am Academic advising takes pririty. N ther ffice hurs are available fr curse related questins. E-mail: maxwell@math.utexas.edu email rule apply. Telephne: (512) 471-7169 Office IV. Teaching Assistant: Office: Office Hurs: E-mail: Telephne: Learning Assistants: V. Prerequisite and Degree Relevance: The prerequisite fr this class is a grade 70% r better n the ALEKS assessment, and there will be n exceptins made t this requirement. If yu d nt meet this prerequisite, yu will be drpped frm this class n the 4 th class day (September 4). Only ne f the fllwing may be cunted: M 403K, M 408K, M 408C, M 408L r M 408N. Remember that M 408N/S/M is the sequence designed fr students wh may nt Page -1-
have taken calculus previusly. Students wh have seen calculus and have dne well might be better placed in the faster M 408C/D sequence. Calculus is ffered in three equivalent sequences: an accelerated tw-semester sequence, M 408C/D, and tw three-semester sequences, M 408K/L/M and 408N/S/M. The latter is restricted t students in the Cllege f Natural Sciences. Cmpletin (with grades f C- r better) f ne f these calculus sequences is required fr students earning a mathematics degree. Fr ther degrees, the tw-semester sequence M 408N/S satisfies the calculus requirement. M 408N/S are als a valid prerequisite fr sme upper-divisin mathematics curses, including M 325K (Discrete Mathematics), M 427K (Advanced Calculus), M 340L (Linear Algebra), and M 362K (Prbability). This curse carries the Quantitative Reasning flag. Quantitative Reasning curses are designed t equip yu with skills that are necessary fr understanding the types f quantitative arguments yu will regularly encunter in yur adult and prfessinal life. VI. Descriptin f the Curse: M 408N is the first-semester calculus curse f the three-curse calculus sequence. It is directed at students in the natural sciences, and is restricted t Cllege f Natural Science Students. The emphasis in this curse is n prblem slving, nt n the presentatin f theretical cnsideratins. While the curse includes sme discussin f theretical ntins, these are supprting rather than primary. Tpics include a review f expnential, lgarithmic and inverse functins; tangents and velcity, limits and limit laws, cntinuity, limits at infinity, the definitin f the derivative, at a pint and as a functin; derivative rules, derivatives f plynmials, expnential and trignmetric functins, the chain rule, implicit differentiatin, derivatives f lgarithmic functins, rates f change in science, related rates, and linear apprximatin; extrema, the Mean Value Therem, hw derivatives affect graphs, indeterminate frms and L Hpital s Rule, ptimizatin, and anti-derivatives; areas and distances, the definite integral, and the Fundamental Therem f Calculus. A. Full Grup Classes: The M 408N classes at the University f Texas are presented in a flipped frmat. That is, befre class students get familiar with the material by reading the textbk, and/r watching nline vide presentatins f the material (e.g. Learning Mdules). Prir t class, students cmplete an n-line assignment (QUEST). During class, instead f traditinal lecture, students wrk n varius prblemslving activities. E.g., wrking individually n a prblem, wrking in grups t slve prblem, writing sample examinatin prblems, sme lecture, gssip grup quizzes, peer instructin, hmewrk quizzes, and ther. After class, students cmplete traditinal textbk assignments. B. Discussin Sectins: Our teaching assistant is in-charge f yur Mnday and Wednesday discussin sectins f apprximately 40 students each. Classrm activities are chsen by the TA and will likely include: questins and answers, wrking n hmewrk prblems in grups, presentatins f slutins (crrect and incrrect) t the discussin grup, hmewrk quizzes, and etcetera. Page -2-
INITIAL HERE VII. Curse Objectives: Students will wrk n presentatin and cmmunicatin skills. Our fcus will be n understanding cncepts, ability t slve prblems, applicatins f calculus t a variety f situatins, and prviding cntext rather than applying frmulas. Persnal respnsibility and accuntability will be develped. VIII. Learning Outcmes: Sectins refer t ur textbk, Calculus: Early Transcendental Functins, 7 th editin by Stewart. 1 Functins and Mdels 1.5 Expnential Functins Read text and/r Learning Mdules and/r MathVids.cm and/r ther Quest Pre-Class Assignment: Due by nn 9/4 Read and sign curse syllabus: Due 12:30 pm n 9/4 Textbk Hmewrk: Due beginning f discussin sessin n 9/5 (n class held n Labr Day) Page 57 1, 4, 9, 14, 17, 24, 26, 29 1.6 Inverse Functins and Lgarithms Read text and/r Learning Mdules and/r MathVids.cm and/r ther by nn 9/4 2 Limits and Derivatives Quest Pre-Class Assignment: Due by nn 9/4 Textbk Hmewrk: Due beginning f discussin sessin n 9/5 Page 70 9, 11, 21, 31, 35, 38, 49, 51, 52, 53, 54, 56, 63, 65, 67, 69. 2.1 The Tangent and Velcity Prblems Read text and/r Learning Mdules and/r MathVids.cm and/r ther by nn 9/6 Quest Pre-Class Assignment: Due by nn 9/6 Textbk Hmewrk: Due beginning f discussin sessin n 9/10 Page 86 1, 5, 7. 2.2 The Limit f a Functin Read text and/r Learning Mdules and/r MathVids.cm and/r ther by nn 9/6 Page -3-
Quest Pre-Class Assignment: Due by nn 9/6 Textbk Hmewrk: Due beginning f discussin sessin n 9/12 Page 96 1, 3, 4, 9, 11, 23, 25, 29, 31, 37, 48. 2.3 Calculating Limits Using the Limit Laws Read text and/r Learning Mdules and/r MathVids.cm and/r ther by nn 9/11 Quest Pre-Class Assignment: Due by nn 9/11 Textbk Hmewrk: Due beginning f discussin sessin n 9/12 9/13 Page 106 1, 2, 3, 4, 13, 19, 22, 30, 31, 32, 47, 48, 50, 51, 57 2.4 The Precise Definitin f a Limit (take-hme prject) Read text and/r Learning Mdules and/r MathVids.cm and/r ther by nn 9/13 Quest Pre-Class Assignment: Nne Take Hme prject Due 12:30 pm 9/17 2.5 Cntinuity Read text and/r Learning Mdules and/r MathVids.cm and/r ther by nn 9/13 Quest Pre-Class Assignment: Due by nn 9/13 Textbk Hmewrk: Due beginning f discussin sessin n 9/17 Page 127 3, 5, 6, 7, 8, 20, 22, 23, 42, 53, 56, 63. 2.6 Limits at Infinity; Hrizntal Asympttes Read text and/r Learning Mdules and/r MathVids.cm and/r ther by nn 9/18 Quest Pre-Class Assignment: Due by nn 9/18 Textbk Hmewrk: Due beginning f discussin sessin n 9/19 Page 140 3, 7, 8, 10, 19, 31, 32, 33, 52, 58. 2.7 Derivatives and Rates f Change Read text and/r Learning Mdules and/r MathVids.cm and/r ther by nn 9/20 Quest Pre-Class Assignment: Due by nn 9/20 Page -4-
Textbk Hmewrk: Due beginning f discussin sessin n 9/24 Page 150 2, 11, 13, 14, 18, 20, 27, 41, 43, 49. 2.8 The Derivative f a Functin Read text and/r Learning Mdules and/r MathVids.cm and/r ther by nn 9/25 Quest Pre-Class Assignment: Due by nn 9/25 Textbk Hmewrk: Due beginning f discussin sessin n 9/26 Page 162 2, 3, 6, 7, 9, 21, 22, 25, 31, 37, 44, 54, 56. 3 Differentiatin Rules 3.1 Derivatives f Plynmials and Expnential Functins Read text and/r Learning Mdules and/r MathVids.cm and/r ther by nn 10/2 Quest Pre-Class Assignment: Due by nn 10/2 Textbk Hmewrk: Due beginning f discussin sessin n 10/3 Page 181 3, 5, 7, 13, 14, 18, 21, 23, 34, 35, 43, 48, 54, 60, 67, 70, 75, 77. 3.2 The Prduct and Qutient Rules Day 1 Read text and/r Learning Mdules and/r MathVids.cm and/r ther by nn 10/2 Quest Pre-Class Assignment: Due by nn 10/2 Textbk Hmewrk: Due beginning f discussin sessin n 10/3 Page 189 3, 4, 12, 33. 3.2 The Prduct and Qutient Rules Day 2 Read text and/r Learning Mdules and/r MathVids.cm and/r ther by nn 10/4 Quest Pre-Class Assignment: Due by nn 10/4 Textbk Hmewrk: Due beginning f discussin sessin n 10/8 Page 189 5, 7, 11, 21, 31, 34, 35, 43, 44, 45, 57. Rte Assignment: Due beginning f discussin sessin n 10/8 Page -5-
3.3 Derivatives f Trignmetric Functins Read text and/r Learning Mdules and/r MathVids.cm and/r ther by nn 10/4 Quest Pre-Class Assignment: Due by nn 10/4 Textbk Hmewrk: Due beginning f discussin sessin n 10/8 Page 197 1, 9, 13, 17, 18, 19, 20, 23, 25, 28, 39, 41, 46, 49, 54. 3.4 The Chain Rule Read text and/r Learning Mdules and/r MathVids.cm and/r ther by nn 10/9 Quest Pre-Class Assignment: Due by nn 10/9 Textbk Hmewrk: Due beginning f discussin sessin n 10/10 Page 205 7, 9, 19, 21, 29, 34, 39, 47, 53, 56, 65, 77, 78, 88. 3.5 Implicit Differentiatin Read text and/r Learning Mdules and/r MathVids.cm and/r ther by nn 10/11 Quest Pre-Class Assignment: Due by nn 10/11 Textbk Hmewrk: Due beginning f discussin sessin n 10/15 Page 215 7, 15, 21, 27, 29, 35, 39, 50, 51, 60, 72, 75. 3.6 Derivatives f Lgarithmic Functins Read text and/r Learning Mdules and/r MathVids.cm and/r ther by nn 10/11 Quest Pre-Class Assignment: Due by nn 10/11 Textbk Hmewrk: Due beginning f discussin sessin n 10/15 Page 223 4, 10, 23, 31, 33, 39, 43, 45, 51. 3.8 Expnential Grwth and Decay Read text and/r Learning Mdules and/r MathVids.cm and/r ther by nn 10/16 Quest Pre-Class Assignment: Due by nn 10/16 Page -6-
Textbk Hmewrk: Due beginning f discussin sessin n 10/17 Page 242 1, 5, 8, 11, 13, 14, 18, 20. 3.9 Related Rates Read text and/r Learning Mdules and/r MathVids.cm and/r ther by nn 10/18 Quest Pre-Class Assignment: Due by nn 10/18 Textbk Hmewrk: Due beginning f discussin sessin n 10/22 Page 248 1, 2, 4, 9, 12, 13, 15, 20, 23, 31, 37, 44. 3.10 Linear Apprximatins and Differentials Read text and/r Learning Mdules and/r MathVids.cm and/r ther by nn 10/23 Quest Pre-Class Assignment: Due by nn 10/23 Textbk Hmewrk: Due beginning f discussin sessin n 10/24 Page 255 1, 7, 10, 23, 24, 25, 26, 27, 28. 4 Applicatins f Differentiatin 4.1 Maximum and Minimum Values Read text and/r Learning Mdules and/r MathVids.cm and/r ther by nn 10/30 Quest Pre-Class Assignment: Due by nn 10/30 Textbk Hmewrk: Due beginning f discussin sessin n 10/31 Page 280 2, 3, 5, 7, 9, 12, 24, 25, 28, 31, 37, 39, 43, 47, 50, 53, 60, 75, 78. 4.2 The Mean Value Therem Read text and/r Learning Mdules and/r MathVids.cm and/r ther by nn 11/1 Quest Pre-Class Assignment: Due by nn 11/1 Page -7-
Textbk Hmewrk: Due beginning f discussin sessin n 11/5 Page 288 2, 3, 9, 11, 13, 23, 24. 4.3 Hw Derivatives Affect the Shape f a Graph Read text and/r Learning Mdules and/r MathVids.cm and/r ther by nn 11/1 Quest Pre-Class Assignment: Due by nn 11/1 Textbk Hmewrk: Due beginning f discussin sessin n 11/5 Page 297 2, 4, 6, 8, 9, 17, 19, 25, 26, 30, 37, 39, 49, 53, 64, 76, 84. 4.4 Indeterminate Frms and L'Hpital's Rule Read text and/r Learning Mdules and/r MathVids.cm and/r ther by nn 11/6 Quest Pre-Class Assignment: Due by nn 11/6 Textbk Hmewrk: Due beginning f discussin sessin n 11/7 Page 307 5, 7, 9, 11, 13, 19, 21, 22, 25, 31, 37, 45, 55, 61, 67, 81, 90. 4.5 Summary f Curve Sketching Read text and/r Learning Mdules and/r MathVids.cm and/r ther by nn 11/8 Quest Pre-Class Assignment: Due by nn 11/8 Textbk Hmewrk: Due beginning f discussin sessin n 11/12 Page 317 3, 5, 9, 13, 14, 15, 20, 24, 30, 42, 63. 4.7 Optimizatin Prblems 1 Read text and/r Learning Mdules and/r MathVids.cm and/r ther by nn 11/13 Quest Pre-Class Assignment: Due by nn 11/13 Textbk Hmewrk: Due beginning f discussin sessin n 11/14 Page 331 1, 2, 4, 5, 7, 11. 4.7 Optimizatin Prblems 2 Page -8-
Read text and/r Learning Mdules and/r MathVids.cm and/r ther by nn 11/15 Quest Pre-Class Assignment: Due by nn 11/15 Textbk Hmewrk: Due beginning f discussin sessin n 11/19 Page 331 12, 16, 19, 24, 30, 34, 38, 40, 46, 49, 56, 59, 61, 73, 77. 4.9 Anti-derivatives Read text and/r Learning Mdules and/r MathVids.cm and/r ther by nn 11/27 Quest Pre-Class Assignment: Due by nn 11/27 Textbk Hmewrk: Due beginning f discussin sessin n 11/28 Page 348 2, 6, 13, 21, 23, 26, 29, 37, 41, 46, 48, 59, 63, 65, 71, 76, 77. 5 Integrals 5.1 Areas and Distances Read text and/r Learning Mdules and/r MathVids.cm and/r ther by nn 11/29 Quest Pre-Class Assignment: Due by nn 11/29 Textbk Hmewrk: Due beginning f discussin sessin n 12/3 Page 369 1, 3, 4, 6, 8, 13, 18, 22, 24, 27. 5.2 The Definite Integral Day 1 Read text and/r Learning Mdules and/r MathVids.cm and/r ther by nn 11/29 Quest Pre-Class Assignment: Nne Textbk Hmewrk: Due beginning f discussin sessin n 12/3 Page 382 1, 2, 6. 5.2 The Definite Integral Day 2 Read text and/r Learning Mdules and/r MathVids.cm and/r ther by nn 12/4 Page -9-
Quest Pre-Class Assignment: Due by nn 12/4 Textbk Hmewrk: Due beginning f discussin sessin n 12/5 Page 382 7, 9, 21, 29, 33, 42, 45, 47, 48, 49, 50, 56, 59, 60. 5.3 The Fundamental Therem f Calculus Read text and/r Learning Mdules and/r MathVids.cm and/r ther by nn 12/6 Quest Pre-Class Assignment: Due by nn 12/6 Textbk Hmewrk: Nt cllected, but prmise this material will be tested n examinatin 3 and yur cmprehensive final examinatin. Prblems exactly like assigned hmewrk? Page 394 7, 8, 13, 17, 19, 27, 37, 41, 45, 55, 69, 70, 76. IX. Instructinal Materials: A. Textbk: Calculus, Early Transcendentals, 7 th Editin, by James Stewart is required. ISBN 978-0-538-49790-9. Yu may als use the equivalent e-bk. B. Calculatr: Yu may use any calculatr n yur hmewrk r in class. Hwever, calculatrs and ther electrnic aids are nt allwed n examinatins, s please get used t ding mst f yur wrk withut a calculatr. Yu will learn much mre. C. Learning Mdules: Traditin nline lectures and supprting material is available thrugh QUEST. D. QUEST: https://quest.cns.utexas.edu/ This curse makes use f the web-based Quest cntent delivery and hmewrk server system maintained by the Cllege f Natural Sciences. This hmewrk service will require a $25 charge per student fr its use, which ges tward the maintenance and peratin f the resurce. After the 12th day f class, when yu lg int Quest yu will be asked t pay via credit card n a secure payment site. Yu have the ptin t wait up t 30 days t pay while still cntinuing t use Quest fr yur assignments. If yu are taking mre than ne curse using Quest, yu will nt be charged mre than $50/semester. Quest prvides mandatry instructinal material fr this curse, just as is yur textbk, etc. Fr payment questins, email quest.fees@cns.utexas.edu. E. Other Resurces: www.mathvids.cm Cntent Vides frm Dr. Elizabeth Stepp http://www.ma.utexas.edu/users/steppel/calculus.html Page -10-
X: Instructr Gals fr Students: In additin t mastering the mathematical cntent as described in sectin VIII: Learning Outcmes, I hpe that students 1) be psitive cntributrs in class, 2) are hnest with self and thers, 3) take respnsibility fr learning the curse cntent, 4) imprve self especially cmmunicatin acumen, and 5) learn calculus cncepts well enugh t succeed in M 408S and beynd. 1. Behavir that I wish t encurage: asking thughtful questins, using strengths t imprve weaknesses, hnesty (with self, peers, me), learning/understanding (e.g. defining variables, yu are the audience), discvering and challenging self and peers (names, strengths, weaknesses), helping class, mdeling prductive behavir, exceeding expectatins, participatin, cmmunicatin, learning abut yur classmates, and taking respnsibility (n excuses). INITIAL HERE 2. Behavir that I wish t discurage: Wlfram Alpha, sptty class participatin, class distractins including cell phne use, dishnesty (claim understand in class and while ding hmewrk, but nt n exams), memrizing frmulas, lking at slutins prir t attempting yurself, abusing slutins manuals, use f banned wrds (psted utside RLM 11.168) such as yu knw, very, like, it, this, that, but, basically, I m nt gnna lie, ignrance, wasting the time f yur classmates, excuses (psted utside RLM 11.168), cmplaining, whining, and crying. XI. Instructr Specific Curse Plicies: A. Make-up wrk: Examinatin 3 and yur cmprehensive final examinatin are scheduled fr Mnday December 17 th frm 2:00 pm 5:00 pm. There is n prvisin fr a make-up final examinatin. N late hmewrk, Quest assignments, pp quizzes r ther required wrk is accepted. B. Dishnesty: Cheating during an examinatin will result in a letter grade f F. Plagiarism r failing t credit the wrk f thers will result in a letter grade f F. Lying r misrepresentatin in any way will result in a letter grade f F. Allwing and cndning dishnest behavir will result in a letter grade f F. An fficial recrd will be sent t the Dean f Students. See sectin XII D. C. Class Distractins: Yu will make the necessary arrangements s that cell phnes, watch alarms, mechanical erasers and the like d nt disturb class. D. Learning Situatins Outside f Class: Fllwing presentatins n-line (befre class) is a gd start t understanding, being able t cmplete prblems n yur wn (quest pre-assignment and textbk prblems) shws a higher level f awareness, and being able t explain slutins t thers (study grups, class, discussin sectins) demnstrates exceptinal insight. Therefre, yu are encuraged t frm study grups. I am available during class and during scheduled ffice hurs nly. Our teaching assistant hlds three ffice hurs each week. Free tutring is available in Jester Center. I hpe that yu feel cmfrtable receiving help in a timely manner. I will be intentinally unavailable 24-hurs befre a scheduled examinatin. We lk frward t helping thse Page -11-
mtivated students wh have attempted their hmewrk. Bring yur wrk int class and r ffice hur and we will discuss yur cnfusin. The UT Learning Center: Jester Center A332, (512) 471-3614. Many students find the study skills frm high schl are nt sufficient fr UT. The Sanger Learning Center (http://lifelearning.utexas.edu/) in Jester has a wide variety f material (drills, vide-taped lectures, cmputer prgrams, cunseling, math anxiety wrkshps, algebra and trig review, calculus review) as well as tutring ptins (sme free, sme fr fee), all designed t help students thrugh calculus. Residential Hall Study Grups: Kinslving and Jester Drmitries, Sunday thrugh Thursday 7:30 p.m. -10:30 p.m. http://cns.utexas.edu/cmmunity/resident-hall-study-grups E. Extra Credit: Nne. Extra wrk is nt a substitute t learning the material in a timely fashin. It is inapprpriate fr yu t request extra credit wrk. Requesting extra credit r saying/writing can I d anything t imprve my grade will result in a 5% syllabus-misunderstanding penalty. Prefacing yur inapprpriate query with It can t hurt t ask r I knw yu d nt allw extra credit will result in a 10% syllabus-misunderstanding penalty. F. Prfessinalism: Students are expected t maintain apprpriate behavir in the classrm and ther activities that reflect the university. XII: University Plicies and Services A. Hnr Cde: The cre values f the University f Texas at Austin are learning, discvery, freedm, leadership, individual pprtunity and respnsibility. Each member f the University is expected t uphld these values thrugh integrity, hnesty, fairness, and respect tward peers and cmmunity. http://www.utexas.edu/abut-ut/missin-cre-purpse-hnrcde i. Learning - A caring cmmunity, all f us students, helping ne anther grw. ii. iii. iv. Discvery - Expanding knwledge and human understanding. Freedm - T seek the truth and express it. Leadership - The will t excel with integrity and the spirit that nthing is impssible. v. Individual Opprtunity - Many ptins, diverse peple and ideas, ne university. vi. Respnsibility - T serve as a catalyst fr psitive change in Texas and beynd. Page -12-
B. Students with Disabilities: The University f Texas at Austin prvides, upn request, apprpriate academic accmmdatins fr qualified students with disabilities. Fr mre infrmatin, students with disabilities shuld cntact the Divisin f Diversity and Cmmunity Engagement, Services fr Students with Disabilities, (512) 471-6259, (512) 471-4641 TTY. http://www.utexas.edu/diversity/ddce/ssd/ C. Accmmdatins fr Religius Hly Days: By University f Texas at Austin plicy, yu must ntify me f yur pending absence at least furteen days prir t the date f bservance f a religius hly day. If yu must miss a class, an examinatin, an assignment, r a prject in rder t bserve a religius hly day, yu will be given an pprtunity t cmplete the missed wrk within a reasnable time after the absence. D. Plicy n Academic Dishnesty: Students wh vilate university rules n schlastic dishnesty are subject t disciplinary penalties, including the pssibility f failing in the curse and/r dismissal frm the University. Fr further infrmatin, visit the Student Judicial Services web site at www.utexas.edu/depts/ds/sjs/. F. Cunseling and Mental Health Center SSB 5th Flr, (512) 471-3515 Hurs: Mnday Friday 8:00 a.m. 5:00 p.m. 24-Hur Telephne Cunseling: (512) 471-2255. G. Behavir Cncerns Advice Line (BCAL): 512-232-5050 H. Emergency Evacuatin Rutes and Emergency Prcedures: www.utexas.edu/emergency a. Occupants f buildings n The University f Texas at Austin campus are required t evacuate buildings when a fire alarm is activated. Alarm activatin r annuncement requires exiting and assembling utside. b. Familiarize yurself with all exit drs f each classrm and building yu may ccupy. Remember that the nearest exit dr may nt be the ne yu used when entering the building. c. Students requiring assistance in evacuatin shall infrm their instructr in writing during the first week f class. d. In the event f an evacuatin, fllw the instructin f faculty r class instructrs. e. D nt re-enter a building unless given instructins by the fllwing: Austin Fire Department, The University f Texas at Austin Plice Department, r Fire Preventin Services ffice. I. Cmputer Labratries: RLM 8.118 and RLM 7.122. Our 40 seat undergraduate cmputer labratry, RLM 7.122, is pen t all students enrlled in mathematics curses. Students can sign up fr an individual accunt themselves in the cmputer labratry using their UT EID. The cmputer labratry can be used fr class demnstratins. Page -13-
We have mst f the mainstream cmmercial math sftware: Mathematica, Maple, Matlab, Magma, and an assrtment f pen surce prgrams. XIII. Classrm Culture: The culture f ur M 408N classrm will include: 1. Cmmunicatin: We will be respnsible t urselves t clearly cmmunicate ideas and techniques t ur peers. This will include thinking abut they ways we cmmunicate t each ther. See ur banned wrd list. (RLM 11.168) 2. Minimize Class Distractins: We likely want t have a zer tlerance plicy n cellular phnes, watch alarms, and mechanical erasers at all times. We d nt disrupt class while thers have the flr. Cell Phne Nte: If yu are ding anything n yur cellular telephne while hiding yur phne under yur desk r in a pcket, then yu are in vilatin f ur cell phne plicy and yu knw. INITIAL HERE 3. Persnal Respnsibility: Students are entirely respnsible fr their understanding f curse cntent and maintaining apprpriate classrm behavir. Excuses are discuraged. See ur numerical list f cmmn excuses and then d nt use. (RLM 11.168) 4. Ethics: We will practice apprpriate ethics in ur class. Yu will be hnest with yurself, yur peers, and university fficials. Lying, cheating, plagiarism, and failing t reprt such behavir will result in a failing curse grade and reprts filed with the Dean f Students. 5. Appreciatin f Others: Respect the time and attentin f yur peers and thers. Understand and be prepared when sharing with classmates. On the interstate, drive as yu wuld prefer thers t drive. XIV. Keys t Learning Calculus: Unveiled during lecture. 1. Study 2. Attempt prblems by yurself in a timely manner 3. Earth: 4. Air: 5. 6. Page -14-
XV: Teaching Philsphy/Pillars A. Gal t maximize ttal understanding. Bt unwilling. B. Levels f understanding/knwledge. C. Yu learn by taking respnsibility and discvery. D. Lecture ineffective. Mack Brwn desn t kick field gals. Teach smene t swim. E. I can t make yu care. Christy Guilliland {Is this my jb?} F. Expectatins. Lynda Danielsn and Brian Hartman XIV: Grading Infrmatin A. Definitin f Letter Grades: I will try t minimize +/- grades, but will assign sme at my discretin. The fllwing scale will be used t assign grades at the end f the term. Be careful using this scale n any individually scred wrk. Yur jb is t maximize ttal pints. Traditinal Range Letter Grade University f Texas Definitin 90%,100% degree f intellectual initiative [80%,90%) B+/B/B- Superir wrk [70%,80%) C+/C/C- Average knwledge attainment [60%,70%) D+/D/D- Unsatisfactry, but passing [0%,60%) F Failing [ ] A/A- Achievement f distinctin with an unusual Letter Grade A Steretypical Descriptin f Calculus Student Plus + Plus student in ability and wrk ethic. Can use calculus t slve prblems in unusual settings A- Excellent student wh can slve prblems well. Learn frm struggle with ideas, learn frm mistakes, asks questins (Burger and Starbird) B+ Gd ptential. Significant gap between bth A and B- students. B Plus effrt r ability. Can d standard prblem slving. B- C+ Mdify behavir if hpe fr better results in M 408S. C Knw enugh t have similar results in future calculus curses. C- Little hpe fr future success in calculus. D Nt prepared fr M 408S. Memrize withut understanding, fear errr, avid uncertainty. (Burger and Starbird) F Failing t participate. Dishnesty (e.g. cheating, plagiarism) B. Assessment During the Term: (1) Frm the teacher - students will receive feedback n their prjects, while wrking in grups, during questin and answer perids, during ffice hurs, and during cmpetency examinatins; (2) Frm ther students during study sessins, discussin sessins and prjects; and (3) Frm neself while wrking n presentatins, hmewrk Page -15-
prblems, while discussing these cncepts with thers, and n the cmprehensive final examinatin. C. Hmewrk: (15% f yur final grade) As mentined previusly, my gal is expse tpics f calculus t University f Texas at Austin students. We cnsider the prmpt and accurate cmpletin f hmewrk t be the single mst imprtant factr in student learning. It is my expectatin that students study fr this class as a mdel fr future study. All students are t keep (and bring t class) a hmewrk ntebk f all assigned prblems. Yu may chse t keep sme ntes, ther exercises, sample examinatins, prjects, this syllabus, and etcetera with the study aid. a. N late hmewrk will be accepted fr any reasn. As nted belw, we will drp sme f the hmewrk scres. Please d nt ask if we will accept a late assignment. We will nt. b. Online pre-hmewrk QUEST (5% f yur grade): Online hmewrk will be assigned frm each sectin f the text via the Web using the UT hmewrk service, QUEST; all answers and grades will be returned via the Web als using QUEST. Assignments will be psted befre the material is cvered during lecture, and will be due at nn prir t the full grup sessin. There will be apprximately 25 assignments (ne fr each sectin f the bk cvered); apprximately 80% f yur highest scres will cunt twards yur grade. This hmewrk als cmprises 5% f yur final grade. Grading will be dne by the QUEST sftware. T pay fr yur use f QUEST, there is a mandatry $25 charge fr this curse that will need t be paid after the 12 th class day (yu will be ntified). See the tp f the screen at http://www.ma.utexas.edu/services/administratin/rientatin/#questfe e fr mre infrmatin. c. Textbk hmewrk (5% f yur grade): At the beginning f each discussin sessin run by ur teaching assistant, we will cllect all hmewrk assignments due, and will grade selected prblems. An assignment frm a sectin f the bk cvered during full class sessins will be due at the beginning f the first discussin sessin that fllws. In rder t receive credit fr an assignment, yu must shw all f yur wrk, the hmewrk paper must be stapled with n ragged edges (such as thse n papers trn frm a spiral ntebk), yur exercises must be well-labeled, neat, and in rder, and yur assignment must be turned in befre the discussin sessin begins. There will be apprximately 25 such assignments (ne fr each sectin f the bk cvered); apprximately 80% f yur highest scres will cunt twards yur grade. This hmewrk cmprises 5% f yur final grade and will be scred by the curse graders and verseen by ur Teaching Assistant. d. Hmewrk quizzes (5% f yur grade): Brief quizzes can be given at anytime during large class r discussin sessins. These special Page -16-
hmewrk quizzes will be exact replicas, r strngly influenced, by hmewrk assigned thrugh QUEST r textbk hmewrk. There will be apprximately 15 such pp quizzes and apprximately 80% f the quizzes will cunt tward yur grade. Grading will be dne by the instructr and/r teaching assistant, and/r curse graders. D. Examinatins (80% f yur final grade): There are n make-up examinatins given fr any reasn ther than thse specifically described in this syllabus. Hwever, if higher, yur cmprehensive final examinatin will replace yur (single) lwest scre frm examinatin 1, examinatin 2, r examinatin 3. Therefre the cmprehensive final examinatin can replace a pr perfrmance n an examinatin r substitute fr a scre n a missed examinatin. The final examinatin des nt substitute fr hmewrk r class participatin. a. Examinatin Rules: N cheat sheets allwed. N technlgy allwed. Yu may nt leave and return t the examinatin. b. Questin Types: On each examinatin yu shuld expect three types f questins: multiple-chice, traditinal prblem slving, and shrt answer. Sample examinatins will nt be given, s please d nt ask. Sample QUEST-style multiple-chice questin (examinatin 2): There is n partial credit fr multiple-chice questins. Please familiarize yurself with penalties fr cheating. Suppse the fllwing partial infrmatin is knwn abut functins f (x) and g(x). f (1) = 2, f!(1) = 4, g(1) = -3, and g!(1) =!. Define h(x) = Determine the numerical value f h!(1). [ f (x) ] 2 g(x). a) Less than 0. b) At least zer, but less than 5. c) At least 5, but less than 10. d) At least 10. e) Either nt enugh infrmatin is prvided r the crrect answer chice is nt given. Hint: This chice is rarely crrect. Sample traditinal prblem slving questin (examinatin 3): Yur slutin methd is graded mre than yur final answer. Helium is filling a spherical balln at a fixed rate f 5 cm 3 per secnd. Hw fast is the circumference f the spherical balln changing at the mment when the balln is filled with 200 cm 3 f Helium? Page -17-
Sample shrt answer questin (final examinatin): State the definitin f the derivative f a functin f (x). Use the definitin t cmpute the derivative f f (x) = 3x 2! 5x. What des the derivative f a functin represent? Describe three examples f applicatins f the derivative. E. Participatin Scre (5% f yur final grade): Students will be assigned a participatin grade fr this class. This scre will be assigned and psted by Mnday December 10 th. Nte that yu participatin grade is earned during the entire semester. Sample rubric fr yur Participatin Scre: 5% (full credit) Attend every class and discussin, ask questins, vlunteer slutins, wrk well with thers, add t value f class. Exceed expectatins. 4% Attend mst classes and discussins and participate when called upn. D as asked. 3% Attend many classes and discussin sessins. Vilate cell phne plicy and little participatin. 2% Sptty attendance. Des nt wrk with thers. Abuses email rules. 1% Tries really hard, but nly after Thanksgiving. Disrupts class. 0% Attend n class r discussin sessin. Neither instructr nr TA recgnizes the student. G. Activity, Percentage Scale, Dates, and Graders f Recrd: Examinatin 1 20% 9/27 Maxwell with TA Examinatin 2 20% 10/25 Maxwell with TA Examinatin 3 20% 12/17 Maxwell with TA Cmprehensive Final 20% 12/17 Maxwell with TA Participatin 5% Semester TA with Maxwell Hmewrk 15% varius TA with graders, Quest H. Penalties: Syllabus Misunderstanding 5% fr failure t understand this cntract. Example: Parent cntacts the university (each time, 5% mre). PARENTS INITIAL HERE Cheating Curse grade f F. Plagiarism 5% pints fr first minr ffense. Curse grade f F fr secnd ffense r blatant theft. Page -18-
Late wrk Late wrk is nt accepted. XVII. Delivery System: M 408N is yur class. The respnsibility f mastering the curse bjectives (sectin VII.) and attaining yur learning utcmes (sectin VIII.) is entirely yur respnsibility. I will mdel and lead varius teaching techniques including: grup prjects, examinatins, grup wrk, self-inquiry, lecturing, peer instructin, exam questin writing, and student presentatins. XVIII. Changes: Our syllabus is subject t mdificatin. Any changes will be annunced in class. -2012 M. M. Maxwell. This syllabus is fr the use f fall 2012 University f Texas, Austin students enrlled in M 408N. Nnstudents plagiarizing this wrk cannt be penalized with a letter grade f F. Hwever, if we meet, then there will be a private cnversatin and apprpriate actin t discurage future such behavir. SIGNATURE: DATE: Page -19-
M408N Fall 2012 Curse Calendar August 20 21 MONDAY TUESDAY 22 23 WEDNESDAY THURSDAY 24 FRIDAY SATURDAY Registratin fr new and readmitted students 27 28 Tuitin due 29 Classes begin Office Hurs: 9:30A-11:30A 30 1st Day Wrksheet: List calculus that yu knw Syllabus Quiz 1: Prerequisite quiz Graphs f Mdels 1.5: Expnential Functins 31 September 1 6 7 8 13 14 15 20 12th day f class 21 Office Hurs: 10:45A-12:15P 3 4 5 Excused if syllabus nt signed. HQ1 1.6: Inverse Functins and Lgarithms Labr Day Office Hurs: 10:45A-12:15P Office Hurs: 9:30A-11:30A Last day t add r drp 10 Office Hurs: 10:45A-12:15P 11 2.3: Calculatin f Limits Using Limit Laws Office Hurs: 10:45A-12:15P 12 2.5: Cntinuity. Write a descriptin in wrds 2.4: Precise Definitin f Limit. Take-Hme Prject Office Hurs: 9:30A-11:30A 17 2.1: Tangent and Velcity Prblems 2.2: Limits f Functins. Techniques. Example: f (x) = sin(! / x) 18 2.6: Limits at Infinity. Hrizntal Asympttes Grup Prject: Examples f functins with desired prperties Office Hurs: 10:45A-12:15P 19 @ 22 2.7: Derivatives and Rates f Change OPEN DATE Office Hurs: 9:30A-11:30A Office Hurs: 10:45A-12:15P Office Hurs: 10:45A-12:15P 24 Cllege f Natural Science Career Fair 25 26 2.8: The Derivative f a Functin Review fr Examinatin 1, Syllabus Write Sample Examinatin Prblems Office Hurs: 10:45A-12:15P Office Hurs: 9:30A-11:30A Octber 1 2 Office Hurs: 9:30A-11:30A 28 29 @ Office Hurs: 10:45A-12:15P 3 3.1: Derivatives f Plynmials and Expnential Functins 3.2: Prduct Rule Office Hurs: 10:45A-12:15P 27 Examinatin 1: Functins, Mdels, Limits, and Cnceptual Understanding f Derivatives 4 5 6 11 12 13 @ Cttn Bwl 18 19 20 25 26 27 3.2: Qutient Rule 3.3: Derivatives f Trignmetric Functins Rte Assignment: 250 Derivatives (50 times [plynmial, expnential, prduct, qutient, trignmetric]) Office Hurs: 10:45A-12:15P 8 9 10 Rte Assignment Due 3.4: Chain Rule 3.5: Implicit differentiatin 3.6: Derivatives f Lgarithmic Functins arctan(x) Office Hurs: 10:45A-12:15P Office Hurs: 9:30A-11:30A 15 16 3.9: Related Rates Office Hurs: 10:45A-12:15P Office Hurs: 9:30A-11:30A 22 Office Hurs: 10:45A-12:15P 17 3.8: Expnential Grwth and Decay 23 Office Hurs: 10:45A-12:15P 24 3.10: Linear Apprximatins. Examinatin 2: Differentiatin Rules Maxwell shws ff. E.g. 101 Review fr Examinatin 2. Example f multiple chice chain rule questin. Syllabus @ Academic advising Office Hurs: 9:30A-11:30A Office Hurs: 10:45A-12:15P Office Hurs: 10:45A-12:15P 29 Registratin begins and cntinues until Nvember 9th 30 31 4.1: Maximum and Minimum Values Office Hurs: 10:45A-12:15P Office Hurs: 9:30A-11:30A Nvember 1 4.2: The Mean Value Therem 4.3: Hw Derivatives Affect shape f Graphs. Team creates graph with prperties I describe. Team describes prperties f graphs I draw. 2 Advisry Bard meeting 3 @ Office Hurs: 10:45A-12:15P 5 6 7 4.4: L Hôpital s Rule Office Hurs: 10:45A-12:15P Office Hurs: 9:30A-11:30A 12 13 9 15 16 22 23 10 Office Hurs: 10:45A-12:15P 14 4.7: Optimizatin Prblems I Take-Hme Prject 4.7: Optimizatin Prblems II Office Hurs: 10:45A-12:15P Office Hurs: 9:30A-11:30A 19 8 4.5: Summary f Curve Sketching 20 17 OPEN DATE Office Hurs: 10:45A-12:15P 21 Thanksgiving Day f Mystery ICS 24 Thanksgiving Office Hurs: 10:45A-12:15P 26 27 28 4.9: Anti-derivatives. Jhn Cnway lecture technique Office Hurs: 10:45A-12:15P 3 Office Hurs: 9:30A-11:30A 4 Office Hurs: 9:30A-11:30A N class 11 N class 17 Examinatin 3 & Final Exam 2:00P - 5:00P 6 7 8 @ Office Hurs: 10:45A-12:15P 5.3: The Fundamental Therem f Calculus II Review fr Final Examinatin Return 1st day wrksheet Office Hurs: 10:45A-12:15P 10 30 5 5.2: The Definite Integral 5.3: The Fundamental Therem f Calculus I December 1st 29 5.1: Areas and Distances 5.2: The Definite Integral Last day f class Final Office Hurs: 10:45A-12:15P 12 13 14 15 19 20 21 22 Official graduatin date Saturday Finals Begin 18 M349P Final 9:00A 12:00 nn Final examinatins end Page -20-