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# Note for MATH 263A with Professor Holston at Ohio-handbook

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## Reviews for Note for MATH 263A with Professor Holston at Ohio-handbook

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Student Handbook for MATH 263 A and B 77If I am anything7 l have made myself so by hard work77 Sir Isaac Newton Department of Mathematics Ohio University March 2011 Contents 1 General Information 7 p 2 2 Some Advice Before You Start MATH 263 A or B 7 p 3 3 Material You Should Know Before Starting MATH 263 A or B 7 p 4 4 CD and Online Study Aids 7 p 5 5 MATLAB Assignments 7 p 5 6 Syllabus for 263A 7 p 7 7 Assigned Problems for MATH 263A 7 p 7 8 Syllabus for 263B 7 p 8 9 Assigned Problems for MATH 263B 7 p 8 1 General Information Welcome to MATH 263 Calculus at Ohio University We hope that taking calculus in our department is a rewarding experience Let s begin with some basics In Class Your instructor will be either a faculty member professor or a teaching assistant TA You can expect much of class time to be devoted to lectures but many instructors also employ in class group work and other teaching techniques Outside of Class On Page 6 is a list of assigned homework problems More than likely these will not be turned in or graded but it is up to you to do them Your instructor will also give you assignments using MATLAB Exams The usual exam format is two midterms and a nal although some instructors use other formats of exams andor quizzes There will be a common nal exam that is based on the assigned homework The best way to prepare for the nal is to do and understand all the howework There is a sample nal exam at the course web site No calculators of any kind will be allowed on the nal Grade Policy Grading systems are determined by individual instructors You must earn a grade of at least C to take the next class in the sequence O ice Hours Your instructor will have of ce hours which are meant to be used by you to get help Of ce hours are free tutoring by the best tutor for the class Do not miss out on this resource Students with Disabilities The University and its faculty are committed to helping meet your individual needs and to supporting your efforts for a quality education In particular if you have a documented dis ability that requires an accommodation please notify your instructor For more information about disability services you may contact the Of ce of Institutional Equity 593 9140 Academic Integrity Academic integrity and honesty are basic values of Ohio University Academic misconduct is a Violation of the Ohio University Student Code of Conduct subject to a maximum sanction of disciplinary suspension or expulsion as well as a grade penalty in the course up to and including failure of the course Incidents of academic misconduct will be handled according to established University policy Math Department Contact Information Calculus 263 Coordinator Todd Young math263coord mathohiouedu 593 1285 Math Department Of ce Morton 321 mathematichohiouedu 593 1254 Course Web Site wwwmathohioueducoursesmath263 OU MATLAB Page wwwmathohioueducoursesmatlab 2 Some Advice Before You Start MATH 263 A or B We hope to do everything possible to help you succeed in MATH 263 at Ohio University Before you begin you should be aware that there are some major differences between math in high school and college 1 We present the material more quickly than in high school 2 We study topics in more depth than in high school 3 Your classmates are better than in high school 4 You have much more responsibility for your own learning than in high school Your instructor is responsible for teaching well You are responsible for learning well These responsibilities are very different Your instructor should do everything within reason to help you learn but most learning occurs outside class and requires work on your part You should schedule 2 hours for work outside of class for every hour in class You need to keep in mind that math is cumulatlue You need to review material from high school You need to review material from previous classes You need to review material from previous tests Keep a precalculus book handy when you study calculus Many students who perform badly in calculus do so because they have forgotten algebra and trigonometry You should always work understand and review all the homework Math is mostly learned by doing not by having it explained It is best to study by yourself and with classmates A combination of individual and group study is more effective than either alone Go to classmates andor your instructor about things you don t understand You will usually nd that both are very helpful but only if you ask Keep note cards of all the formulas you should have memorized Be sure to go into tests knowing all the formulas you are supposed to know Have your roommate or study partners quiz you on the formulas Study the mistakes you made on previous tests Never repeat a mistake Here is a good study plan 1 Skim the book before class Go to class Do the homework and read the book Ask questions Study Take test Review test NQWPWN 3 Material to know before starting MATH 263 A or B Because math is cumulative mastery and review of previous material is essential for your success Your MATH 263A and 26313 instructors will take for granted that you have mastery of the material below You should always review it before tests As a general rule you should understand and be able to use all the material in reference pages 1 4 in the inside front and back covers of the textbook You should memorize most of the formulas on those pages Algebra How to factor a polynomial How to solve a system of linear equations How to complete the square Understand memorize and be able to use all formulas on reference page 1 except the general binomial formula Caution Va2b27 ab ab7 gg cd c d Geometry Understand memorize and be able to use all formulas on Reference Page 1 in the text Trigonometry Understand and be able to use all formulas on Reference Page 2 in the front of the textbook Memorize all the formulas except Addition Subtraction and DoubleAngle Functions and Graphs Review sections 112 and know all functions and graphs on reference pages 3 and 4 Memorize the graphs of sin z cos x and tan m Graph of an Equation vs Graph of a Function Translation Principles z 7 m 7 h shifts right by h y 7 y 7 k shifts up by k Standard form of conic sections and how to get them 2 yz Ellipse 172 1 b7 21 1 7 Hyperbola 72 7 a NTQ QE Parabola 4py x If you are starting 263B Know all the above and Know Reference Page 5 differentiation rules 1 8 9 11 13 15 17 19 21 25 27 Continuity at a means lim x fa All elementary functionsiapolynomial rational root trig exponential and logarithmic functions are continuous whereever de ned m h 7 M h De nition of derivative fm E lim h7gt0 4 CD and Online Study Aids The inside front cover of your textbook at least if it is new should contain 2 CD ROMs One of them Interactive Video Skillbuilder CD77 has tutorials and quizes that go with each section We recommend that you at least try the quiz after doing the homework in each section and use the tutorial if you are having trouble with the section If you do not have the CD ROM that came with you book webquizzes can be found at www5tewartcalculus com Go to the site and click on the picture of our textbook Once inside click on the CHAPTERS tab Select the appropriate chapter from the drop down box immediately below the drop down box you will nd the Web QuizTutorial Quiz link Click on it then choose the appropriate section Note that you may have to allow pop ups for the quiz to appear usually this can be done by holding down the CTRL key when clicking on the quiz link Accessing the video tutorials online requires you to create an account at wwwilrncom Detailed instructions on doing this can be found on the course website www math ohi ou educoursesmath263 The Mathematics Department also provides a free interactive tutor program and tutorials designed to accompany many of the topics in the courses These can be downloaded at wwwmath ohiou eduquotjustcalctutor Instructions on using the tutorials are included on the web site 5 MATLAB Assignments Your instructor will give homework assignments involving the program MATLAB Before you begin please read the information below If you are an engineering student the Russ College expects you to learn MATLAB as soon as possible and you can expect to use it throughout your career Where to nd assignments The OU MATLAB web page is at wwwmathohiouedu matlab It contains assign ments reference materials and sample solutions to actual assignments Where to nd MATLAB at Ohio University MATLAB itself is a program that is installed on most computers on campus 0 Computer Services Center ground oor and Alden 2nd oor M R 8am midnight F 8am 10pm Sat 10am 10pm Sun 12pm 12am 0 Boyd Hall 015 Brough House 006 Brown Hall 000 and Jefferson Hall 130 M R 3pm 11pm F 3pm 5pm Sat closed Sun 12pm 11pm o Morton 314 Check lab door for available hours 0 Morton 422 Check lab door for available hours In Morton use the user name student and leave the password blank In order to use the printers in Morton one must get an account from the Math Of ce for 5 0 Stocker 264 267 M R 8am 3am F 8am 11pm Sat Sun 12pm 12am 0 Stocker 127 305 308 414 M F 8am 11pm Sat Sun 12pm 12am To log on to Stoker NT machines you must have a username and password For non EECS majors enter username student and leave password blank Getting Started 0 Always work with a partner 0 Download A brief introduction to MATLAB 7 one of the sample solutions7 and your assignment from the OU Matlab web page 0 Go to one of the labs listed above or follow the instructions above about accessing MATLAB in your dorm room 0 Open the program MATLAB by nding and clicking the MATLAB icon on the Desktop or in the Applications menu After you click on the MATLAB icon a Command Window77 should appear this is where commands are entered 0 Try the commands listed in A Very Brief Intro to MATLAB o Read a Sample Solution77 to see what is expected 0 Follow the instructions on your assignment exactly 0 Take notes about what happens 0 Write a brief report7 answering all the questions on the assignment Pay attention to the comments at the bottom of the assignment they are often hints 0 One of the main goals of the assignments is to teach you to think as you compute Keep this in mind while doing the assignments 6 Syllabus for 263A 13 7 The Limit of a Function 32 7 Inverse Functions and Logarithms 14 7 Calculating Limits 33 7 Derivatives of Log amp Exp Funcs 15 7 Continuity 34 7 Exponential Growth and Decay 16 7 Limits involving 0 35 7 lnverse Trigonometric Functions 36 7 Hyperbolic Functionsquot 21 7 Derivatives and Rates of Change 37 7 lndeter Forms amp L Hopital s Rule 22 7 The Derivative as a Function 23 7 Basic Differentiation Formulas 41 7 Maximum and Minimum Values 24 7 The Product and Quotient Rules 42 7 The Mean Value Theorem 25 7 The Chain Rule 43 7 Derivatives and the Shape of a Graph 26 7 lmplicit Differentiation 44 7 Curve Sketching 27 7 Related Rates 45 7 Optimization Problems 28 7 Linear Approx amp Differentials optional 7 Assigned Problems for MATH 263A Section Problems 13 2 3 5 8 12 21 ML1 Plotting Functions 14 2 3 10 12 15 1723 2833 35 42 43 45 47 ML2 Solving Equations 15 3 4 6 13 16 29 30 32 37 39 41 45 16 16 13 31 odd 41 42 21 1 4 5 11 odd 15 18 23 25 27 43 ML3 Limits and derivatives 22 1 13 odd 1722 35 36 23 1 33 odd 33 35 43 45 47 49 51 ML4 Derivatives 24 3 29 odd 51 55 25 1 35 odd 39 47 51 53 57 62 26 1 17 odd 21 25 32 27 1 17 odd 2 25 29 28 1 5 11 12 15 17 19 20 21 23 24 32 1 25 odd 18 2939 odd 44 46 48 63 33 1 21 odd 25 49 odd 65 ML5 Exponentials 34 1 3 4 5 7 9 13 15 35 1 9 odd 13 17 25 odd 34 35 37 39 36 16 19 27 2735 43 46 37 1 33 odd 39 40 41 41 1 17 odd 2129 36 37 39 41 43 45 42 1 17 odd 23 26 27 43 1 11 odd 15 19 29 odd 33 35 40 41 44 5 17 odd 21 27 31 33 37 39 41 43 45 3 5 7 9 13 1517 21 22 25 26 40 Optional will not be covered on the common nal but instructors may assign some problems 8 Syllabus for 263B 47 7 Antiderivatives 66 7 Improper integrals 51 7 Areas and Distances 71 7 Areas between curves 52 7 The De nite lntegral 72 7 Volumes 53 7 Evaluating De nite integrals 75 7 Applications Physics amp Engineering 54 7 Fundamental Theorem of Calculus 76 7 Differential Equationsquot 5395 7 The SUbStimtiOn R1118 91 7 Curves De ned by Parametric Eqs 61 7 Integration by Parts 92 7 Calculus with Parametric Curves 62 7 Trigonometric lntegrals 93 7 Polar Coordinates 63 7 Partial Fractions 94 7 Areas and Lengthes in Polar Coordi 65 7 Approximate lntegration nates Optional but it is recommended that instructors select parts of these sections lntegrating sinzz and cos2 x will used later the rest is optional 9 Assigned Problems for MATH 263B Section Problems 47 1 29 every 4th problem 31 37 odd 41 44 ML 1 Anti derivatives 51 1 13 odd 14 52 1 11 odd 1921 23 29 30 31 33 35 3840 ML2 Riemann Sums 53 1 29 odd 37 4142 47 49 52 54 1 11 odd 15 17 19 55 1 21 odd 22 23 27 29 30 34 37 41 43 49 50 61 1 29 odd 39 62 1 9 odd 13 27 odd 63 1 11 odd 15 31 odd 39 65 1 7 odd 11 15 19 25 27 29 31 ML 3 Monte Carlo lnt 66 1 3 7 33 odd 53 55 ML 4 lmproper lntegrals 71 1 15 odd 21 23 25 27 72 1 15 odd 21 31 odd ML 5 Hyperbolic Functions 75 1 5 2133 35 39 43 76 1 15 odd 35 39 43 45 91 1 21 odd 22 27 92 1 15 odd 21 27 29 30 3339 4147 odd 93 1 9 odd 13 19 odd 23 39 odd 47 49 51 ML 6 Polar Coordinates 94 1 7 odd 15 25 odd 33 35 Optional will not be covered on the common nal but instructors may assign some problems

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