Math 1431 Section 14835 TTh 5:30 – 7:00 pm CEMO 100D Moses Sosa [email protected] 617 PGHClass webpage: http://www.math.uh.edu/~mmsosa/Math1431/Important Information: • Labs/workshops • CourseWare Accounts • Textbook • Daily Poppers • Homework/Classwork/EMCFs/Lab Quizzes • Online Quizzes • Exams and Final ExamLabs/Workshops Attendance is mandatory! Written homework and classwork are due in labs on Mondays and Wednesdays Lab quizzes will be given each Friday in Lab/Workshop. My Math 1431 Labs: Section Time Room TA 14836-31 7:00 – 8:30 CBB 106 Manyang 14837-34 4:00 – 5:30 CBB 106 Jiajie 14838-35 4:00 – 5:30 F 154 Robert 28383-33 7:00 – 8:30 CBB 118CourseWare Accounts http://www.casa.uh.edu The first portion of these materials is freely available for the first few days of class. All students must purchase a Course Access Code and enter it on CourseWare by the stated date to continue accessing the course learning materials. A Course Access Code can be purchased for about $50 from the University Bookstore. Here you will find: your textbook, exam scheduler, weekly online quizzes, practice tests, EMCFsDaily Poppers Daily quizzes (poppers) will be given in lecture starting the third week of class. You will need to purchase a course pack of custom bubbling forms from the bookstore. NOTE: Make sure you get the correct packet. They are sold by Section Number. If you don’t have the correct section, you will not receive credit. This class is section 14835 Do NOT punch holes in the pages Do NOT use ink DO fill in all the required bubbles, or you will NOT receive credit.EMCF Electronic Multiple Choice Form On Courseware Questions will be posted on the class webpage. http://www.math.uh.edu/~mmsosa/Math1431/index.html These will usually be due on Tuesdays, or Thursdays by 8:00 am. Make sure you check regularly.Online Quizzes Online quizzes will be given at http://www.casa.uh.edu starting today. You may take them up to 20 times each. The highest score is recorded. Watch for when they are to be closed, and don’t wait until the last day (or minute) to complete them. The system may become overloaded and thus may prevent you from receiving credit.Important: Once an online quiz closes, it will NOT reopen. There is NO AMNESTY at the end of the semester. It is your responsibility to: a) take the quizzes in a timely manner b) be aware of open/close dates c) realize the quizzes are based on the homework d) realize the exams are based on the quizzes. Four Exams and a Final Exam …Exams will be given at CASA. You can schedule the time of your exam at http://www.casa.uh.edu The scheduler will be available two weeks prior to the exam. NO Make up Exams There is NO Standby testing. Double check your date and time prior to testing. You MUST have a scheduled time. Plan on arriving early so if you are “stuck in traffic”, have “overslept”, or “whatever”, you don’t miss the exam.Grades Grades: Test 1 - 5% Tests 2, 3, 4 - 15% each Final exam- 25% Lab Quizzes and Homework (both written and EMCF) - 10% Online Quizzes - 10% In-class Poppers and Attendance - 5% Note: The percentage grade on the final exam can be used to replace your lowest test score. 90% and above - A at least 80% and below 90%- B at least 70% and below 80% - C at least 60% and below 70% - D below 60% - FTest 1 is available online starting Yesterday. This is a 2 hour timed exam over prerequisite material. There is a mandatory practice test associated with this test. The practice test counts as extra credit, and Test 1 counts as a major exam. You have 2 attempts, and these should be more than sufficient to accommodate any internet issues or your need to review material.Attendance and Classroom Behavior… • Come to class on time. • Be prepared to start on time. • Turn off your cell phone. • Do not read the newspaper, surf the web, or do anything that might disturb other students (including non-calculus discussions). • Pay attention. • Ask and answer questions. • If you must come in late, or leave early, please be respectful of everyone else.Section 1.2 The Idea of Limit−2 −1 1 2−2−112Limits – expected value f (1) = What value do we expect at x = 1? ()lim f→=x 1x ()xfWhat value do we expect from the left of x = 3? What value do we expect from the right of x = 3? What value do we expect at x = 3? ()lim f→=x 3x f (3) = 1 2 3 4 5−112()fxWhat is f (3)? What value do we expect from the left of x = 3? What value do we expect from the right of x = 3? What value do we expect at x = 3? ()lim f→=x 3x 1 2 3 4 5−112345()xfWhat is f (2)? What value do we expect from the left of x = 2? What value do we expect from the right of x = 2? What value do we expect at x = 2? ()lim f→=x 2x 1 2 3 4 5−112345()xfWhat value do we expect at x = 1? ()lim f→=x 1x What value do we expect at x = – 1? ()lim f→ −=x 1x −2 −1 1 2 3−112f (x)What value do we expect from the left of x = a? What value do we expect from the right of x = a? What value do we expect at x = a? The limit of f (x) as x approaches a is written: f (x) a c bWhat value do we expect from the left of x = a? What value do we expect from the right of x = a? What value do we expect at x = a? Note: For ()lim f→x ax to exist, a f (x) c b d()lim f→=x 1x −2 −1 1 2−2−112()flim→=x 0x −2 −1 1 2−2−112()f=0 ()lim f→=x 0x ()lim f−→=x 1x ()lim f→+=x 1x ()lim f→=x 1x ()f=1 −2 −1 1 2−2−112()flim−→ −=x 2x ()flim+→ −=x 2x ()flim→ −=x 2x ()f− =2 −2 −1 1 2−3−2−112f (x)()lim f−→ −=x 2x ()lim f+→ −=x 2x ()lim f→ −=x 2x ()f− =2 −5 −4 −3 −2 −1 1 2−4−3−2−11234( )fxxx= ( )f1xx= ( )f21xx=Limits: The Main Idea The limit of f (x) as x approaches the value “a” gives the behavior of f (x) near x = a. limx→af x()=L if and only if limx→a−f x()=limx→a+f x()=LIntuitive Limits from Formulas and Graphs ()lim→+ =x 1x 3 lim→=2x 3x ()lim→− =2x 4x 1lim−→=x 0x lim+→=x 0x lim→=x 0x lim−→− =x 5x 5 lim+→− =x 5x 5 lim→− =x 5x 5lim→− −=−2x 3x x 6x 3 ( )f≤=>2x x 1x2 x 1 ()lim