You can contact me by email at rizzardo@math.columbia.edu .
My office is in math 408.
Office hours will be on Tuesday, 5:30 to 6:30, room 528 and Monday, 34, room 528.
If you cannot come to office hours you can write me an email and schedule an appointment.
The T.A. for this class is Luxi Zhang. Her email is lz2184@columbia.edu. She is in the help room on Mondays 46.
For help on your homework questions you can go to the Help room . It reopens on January 25.
Tuesday and Thursday, 4:105:25 pm
Room 520
James Stewart, Calculus (Early Transcendentals), 6th edition published by Thomson Brooks/Cole.
It is available at the Columbia bookstore. It is also available online, probably at lower prices. Many of Stewart's other books look similar, so check carefully that you have chosen the correct text if you order online. This class will cover chapters 5 through 11. There is a table below that shows which sections in the text correspond to each lecture. You are encouraged to read the relevant sections before coming to class.
Workload: There is much to be done in a relatively short period of time, so please try to keep up. Please ask questions if you have them! Set aside enough time in your schedule to keep up with your reading, studying, and homework.
Homework: I will assign homework during most class meetings. Homework is due on Wednesday by 4pm in the dropoff box on the fourth floor. I do not accept late homework, but I will drop your lowest homework score.
To receive full credit for a solution, it is not enough for you to simply write down the correct answer. You must also show all relevant work in an organized fashion. Include explanatory words or phrases if it is not completely obvious how one step leads to the next, so that any other calculus student would be able to read your solution and understand how you obtained your answer. Circle or otherwise clearly indicate your final answer, and include units (meters, seconds, square feet, etc.), if applicable. Please staple your homework!!
You can come to office hours for help or just ask questions after class. Additional help is available every day, beginning January 25, at the help room in room 333 of Milbank Hall on the Barnard campus. Here is the schedule .
Quizzes: Often at the beginning of class there will be a brief (5 to 10 minute) quiz covering material from previous class meetings. If you are late and you miss a quiz, you will receive a zero for that quiz. The quizzes are designed to give you immediate feedback about your understanding of the crucial ideas from the course. If you attend class, pay attention, ask questions, and are diligent about reviewing your notes, reading the book, starting your homework assignments early, and coming to me or to the help room when you need help, you will probably do well on the quizzes. If you find yourself struggling on the quizzes, it's a sign that you need to change your study habits immediately. I do not give makeup quizzes for any reason, but I will drop your lowest quiz score.
Webwork: This is an online homework system to supplement written homework. The advantage of Webwork is that you will get immediate feedback on your answers and so it's a great tool to practice your skills. There is no penalty for the number of times you get an answer wrong before getting the right answer (but you'll find guessing is much more timeconsuming that actually solving the problems). You will receive an email with all of the instructions on how to use it and the login information. For technical problems with Webwork, please contact the webwork T.A., Thomas Peters tpeters@math.columbia.edu . I will add a 10% to your Webwork score when computing your grade (e.g. 90% becomes 100%, 80% becomes 90%, 100% stays 100%).
Attention for Barnard students: the Webwork emails get sent to your @columbia.edu email.
Grading Scheme: Grades will be determined approximately as follows:
Midterm exams  20% each 
Final Exam  30% 
Quizzes  5% 
Webwork  5% 
Homework  20% 
Day  Sections  Material  HW  Recommended (not to be handed in)  Due date 

January 19  5.15.4  Introduction; Review of Integrals  5.2 #34,37 5.3 #18,26,40,44,52 5.4 #6,9,11  5.3 #718,1942,5356 5.4 #518,2144  January 27 
January 21  5.5  Substitution  5.5 #14,24,30,42,54,57,60,66,82  5.5 #170, plus #75,78,81  
January 26  7.1,7.2  Integration by Parts Trig integrals  7.1 #2,14,18,22,35,36,48,65 7.2 #2,8,10,16  7.1 #132,3338 7.2 #115  February 3 
January 28  7.2  Trig Integrals  7.2 #21,26,28,34,35,50,56  7.2 #1749  
February 2  7.3  Trig Substitution  7.3 #6,14,18,24,26,30,34  7.3 #130,35,40  February 10 
February 4  7.4  Partial Fractions  7.4 #2(b),8 7.5 #2,6,14,18,24  review long division of polynomials and factoring, try a few examples!  
February 9  7.4  Partial Fractions  7.4 #4,20,28,34,44 7.5 #15,19,27  7.4 #138, and especially #3950 7.5 as many as you can, to get ready for the midterm!  February 17 
February 11  7.8  Improper integrals  7.8 #2,21,32,38,42,50,52,57  7.8 #1,540,60 For sample problems for the midterm, look at section 7.5 of your book. 

February 16  7.7  Approximate Integration Review  7.7 #19,22,29,33,46  7.7 #718,20,21,27,47,48  February 26 
February 18  Solutions  sections 5.35.5, 6.1, 7.17.5,7.8  
February 23  8.1,8.2  Arc length, Surfaces of revolution  8.1 #10,17,32 8.2 #6,14,15  8.1 #318,39 8.2 #512,1316,26,27  March 3 
February 25  9.1,9.2  Introduction to differential equations  9.1 #2,10,11 9.2 #2,3,4,5,6,11,19 chapter 7review #9,10,24  9.1 #16,12 9.2 #1,710,1114 

March 2  9.3  Separable equations  9.3 #8,12,14,16,38 9.4 #1,8,9  9.3 #110,1118,19 9.4 #5,13  March 10 
March 4  9.3,9.5  Linear equations Quiz 2 Solutions  9.3 #29,32,40,41 9.5 #5,15  9.3 #2932,4244 9.5 #520 

March 9  9.5,10.1  Linear Equations Parametric Equations  9.5 #6,8,20,23 10.1 #9,11,14,20,24,25,28,37  9.5 #514,1520,26,34 10.1 #510,1118,1922,26,27,41  March 24 
March 11  10.2  Parametric Equations  10.1 #40 10.2 #4,7,18,25,27,42,48,66  10.2 #36,810,1720,29,30,3740,4144,5154,5761  
March 23  10.3,10.4  Polar coordinates Review  10.2 #31,34 10.3 #2,4,10,18,36,39,56 7.8 #51,53,77  10.2 #32,33 10.3 #112,1520,2948  March 31 
March 25  Midterm II Solutions  Study suggestions for midterm 2 Sample midterm    
March 30  10.4,11.1  Polar coordinates,Sequences  10.3 #63,68 10.4 #8,32,36,45  10.3 #6368 10.4 #18,914,1721,2334  April 7 
April 1  11.1,11.2  Sequences,Series  11.1 #4,8,18,25,40,46,56,63,66,68  11.1 #1746,54,58,6066  
April 6  11.2  Series  11.2 #16,20,24,35,43,56,70,66,76  11.2 #18,30,47,63,64,71,73b,  April 14 
April 8  11.3  Integral Tests  11.3 #1,7,14,27,29,30,32  11.3 #28,30,34,37  
April 13  11.4,11.5  Comparison Tests, Alternating series  11.4 #6,12,16,36,40 11.5 #6,12,24,26,32,35  11.4 #332 odd,37,42,45 11.5 #220 odd,2326  April 21 
April 15  11.6  Ratio Test, and Root test Quiz 4 Solutions  11.6 #10,12,14,18,22,30  11.6 #228 odd,29,38 (< this is a guy who's good with numbers!!)  
April 20  11.8  Power Series  11.8 #7,12,16,22,29,30  11.8 #328 odd,32,33,39  April 28 
April 22  11.9  Functions as Power Series Quiz 5 Solutions  11.9 #4,8,24,26,38 11.7 #12,14,24,32,38  11.9 #310 odd, 13,14,1518,2326  
April 27  11.10  Taylor Series  11.10 #10,14,18,22,28,43,56,66 11.11 #28  tba  May 5 
April 29  everything  review  Final Sample Solutions Two exercises on polar coordinates Study suggestions Tentative formula sheet   