Calculus 211 Lecture 1 9:55 MWF, 165 Bascom J. Robbin Fall 2003 1 General Information My Office and Phone. 313 Van Vleck, 263-4698 My e-mail. robbin@math.wisc.edu Home Page. http://www.math.wisc.edu/~robbin Course Web Page. http://www.math.wisc.edu/~robbin/211dir/211.html My Office Hours. 2:30 Monday, 3:30 Wednesday, 12:00 Friday, or by appointment. Text. Himomas & Howard: CALCULUS: Ideas and Applications 2 Teaching Assistants Name Office Phone E-Mail Diego Galindo 316 Van Vleck 3-3062 galindo@math.wisc.edu Samuel Lopes 416 Van Vleck 3-6258 lopes@math.wisc.edu Matthew Petro 816 Van Vleck 2-3546 petro@math.wisc.edu Elisa Vasquez 618 Van Vleck 2-0177 vasquez@math.wisc.edu 3 Discussion Sections 301 Lopes 7:45 TR B329 Van Vleck 302 Lopes 8:50 TR 4322 Soc Sci 305 Petro 9:55 TR 14 Ingrahm 306 Petro 11:05 TR 310 Ed Sci 309 Vasquez 12:05 TR 348 Birge 310 Vasquez 1:20 TR 228 Education 313 Galindo 2:25 TR B123 Van Vleck 314 Galindo 3:30 TR B333 Van Vleck 1
4 Lecture Schedule I will try to adhere to the lecture schedule below. In particular I will try to introduce each new topic on a Monday or a Wednesday so that you can discuss the exercises in the appropriate section in the book in the discussion section on the following day. I will try to reserve Fridays for doing problems and answering questions. Labor Day: Monday Sep 1 First Class Day: Tuesday Sep 2 Week 1 (Sep 2-5) Chapter 0 Precalculus Review Week 2 (Sep 8-12) Chapter 1 Limits and Continuity Week 3 (Sep 15-19) Chapter 2 Exponentials and Logarithms Exam I: Friday Sep 19 In Class Week 4 (Sep 22-26) 3.1 Slope of a graph 3.2 Derivative of a function 3.3 Derivative as a rate 3.4 Differentiability and linear approximation Week 5 (Sep 29-Oct 3) 3.5 Derivative of logarithms and exponentials 3.6 Product and quotient rule 3.7 Chain rule 2
Week 6 (Oct 6-10) 3.8 Implicit differentiation and related rates 4.1 First derivative test 4.2 Second derivative test Week 7 (Oct 13-17) 4.4 Optimization and applications 4.5 Applied optimization problems Week 8 (Oct 20-24) Exam II: Tuesday Oct 28 5:30-7:00 PM 5.1 The indefinite integral 5.2 Integration by substitution Week 9 (Oct 27-31) 5.4 Area and the definite integral 5.5 The fundamental theorem of calculus Last Day to Drop: Friday Oct 31 Week 10 (Nov 3-7) 6.1 Consumer and producer surplus 6.2 Continuous income streams Week 11 (Nov 10-14) 6.3 Separable differential equations Exam III: Friday Nov 21 In Class 3
Week 12 (Nov 17-21) 7.1 Functions of two variables and their graphs 7.2 Partial derivatives 7.3 Maxima and minima in two variables Week 13 (Nov 24-Nov 26) 7.4 Method of least squares Thanksgiving Recess: Thursday-Sunday Nov 27-30 Week 14 (Dec 1 - Dec 5) 7.5 Constrained optimization and Lagrange multipliers 9.2 Graphical solutions Week 15 (Dec 8-12) 9.3 Solow growth model Last Class Day: Friday Dec 12 FINAL: (Exam Period 64) Tuesday Dec 16 12:25 PM 5 Policy The two in class exams are weighted 15% each. The evening exam is worth 20%. The final is worth 30%. The remaining 20% of the grade is assigned by your TA who will base it on on quizzes, homework, effort, and attendance in quiz section. 4
It is guaranteed that 80% of the exam questions will essentially come from the examples and exercises in the book (including the review exercises and practice exam problems at the end of each chapter) and from handouts in lecture. It is guaranteed that a grade of 80% on any exam is at least a B. To avoid ambiguity, the wording of an exam question may differ from the wording in the book and to discourage memorization the numbers in a problem may be changed. The lecture schedule indicates which sections will be covered for each exam. You will be responsible for a problem which appears at the end of a chapter only if the corresponding section is listed in the lecture schedule. You should read all the problems, but not do them all: there are too many. Do as many as you can, but don t do a problem once you recognize that it is very similar to one you have already done. Some of the exercises in the book indicate that some mathematical software such as a graphing calculator or spreadsheet program (like Excel)should be used. You may ignore these exercises although if you choose to do them you will certainly gain added insight. You may also ignore the projects at the end of each chapter. Calculators may not be used on exams: they are not needed since you will not be penalized for not doing arithmetic. (An answer like 2 + 3 is acceptable, but an answer like 2 + 3 = 6 will be penalized.) Exams will be closed book: you will not be allowed any notes. If you understand why a formula is true, you will find it easy to remember. 6 Prerequisites You should be comfortable with Chapter 0 of the text (Precalculus Review) and Chapter 3 (Exponentials and Logarithms). This includes algebraic manipulation, exponentials and logarithms, and graphing functions. We will review this material rather quickly and if you find it overwhelming, you may not be ready for calculus. Attend the following workshops if you are unsure of what you are expected to know. Exponents, Factoring and Equations Wednesday Sept. 3 4:30-5:30 p.m. 3425 Sterling Hall Graphing and Functions, Exponentials and Logs Thursday Sept. 4 4:30-5:30 p.m. 3425 Sterling Hall 7 Getting Help If you are having difficulty, first talk to your TA or Lecturer. If you cannot come to the scheduled office hours, make an appointment to see either at a different time. Here are some other places you can get help: 5
MATH LAB The Math Lab is an especially good place to go if you have a quick homework question; more detailed questions are probably better directed to your TA. Location: B227 Van Vleck Hall (across from the Mathematics Library). Hours: Monday through Thursday, 3:30-5:10 pm, and 6:30-8:10pm. Dates: Starting the second week of classes (usually), through the end of the semester. Courses: 101, 112, 113, 114, 171, 211, 213, 221, 222, 223, and 272.] Cost: Free. You can find a link to the Web page for this program at http://www.math.wisc.edu/~mathlab/ PRIVATE TUTORING The Mathematics Department publishes a list of Mathematics graduate students who are willing to tutor students; copies are available on the second floor of Van Vleck Hall, next to the elevators. The list is also on the web at http://www.math.wisc.edu/~paulson/tutor.html According to Math Department policy, TA s are not supposed to tutor in courses they are teaching. Location: Varies; many tutors will meet in Van Vleck Hall; some will meet off-campus. Courses: Most undergraduate courses. Cost: Fees vary from tutor to tutor; typical costs are $15 to $20 per hour. MATH BOARD The Math Board is a wooden board with slots labelled for many of the department s mathematics courses (101 through 632); interested students can fill out a card with information about themselves (name, course, instructor, contact information), and put that card in the slot which matches their course. Students can also read the cards that have been placed into the various slots, and use the information from the cards to contact one another to set up study groups, etc. Location: The Math Board is on the second basement level of Van Vleck, just opposite room B207. Courses: Most undergraduate courses. Cost: Free. 6
GUTS The Greater University Tutoring Service 1 is run by the Student Union using student volunteers. 2 Location: The GUTS office is in 303 Union South (263-5666); their tutoring sessions are held in a variety of campus locations (Helen C. White Library, Gordon Commons, Kronshage Hall). Hours: Vary, but typically 5-11pm Sunday through Thursday evenings. Dates: Starting the third Sunday of each semester. Cost: Free. Their web page is at http://guts.studentorg.wisc.edu/di/dihome.htm The GUTS office is in 302A Union South (263-5666). They have organized calculus study groups (contact the office) that meet two hours per week and one on one tutoring. They also have an exam file. MATHEMATICS TUTORIAL PROGRAM The Mathematics Tutorial Program helps students who, without the structure and support given, would not be successful in their current class. In particular, the Tutorial Program works with returning students, students who have not taken a math class in several years, students who are repeating a class, and students from groups which are under represented in mathematics and sciences. Because resources are limited, not all students who apply can be accepted. The Tutorial Program is often forced to judge whether a student is able to maintain a passing grade without its help using the resources available to all students. To apply to the Tutorial Program during the first three weeks of classes, see its Director David Camacho in 321 VV. After the third week of classes, a referral from your instructor, advisor, or dean is necessary. The URL for the home page for the Mathematics Tutorial Program is http://www.math.wisc.edu/~tprogram/ ACADEMIC ADVISING The advisors in the Office Of Student Academic Affairs in the College of Letters and Science can assist students educational and career planning, help with personal problems, explain regulations and requirements, and make suggestions for improving study techniques. Go to 104 South Hall or call 262-5858 for an appointment. You can also call Dial-a-Dean at 262-2644. else. CALCULATORS AND COMPUTERS 1 Previously called Help At Student Housing 2 Consider volunteering yourself! There is no better way to learn than by teaching someone 7
As indicated above, calculators may not be used on exams: they are not needed since you will not be penalized for not doing arithmetic. (An answer like 2 + 3 is acceptable, but an answer like 2 + 3 = 6 will be penalized.) It is a good idea to use calculators when you do homework. You should always find another method of doing the problem and compare your answer with the result you get with the calculator. I personally am more likely to make a mistake entering numbers into a calculator than I am in doing the problem by hand. You may have a similar problem. Many of the homework problems ask you to draw a graph with a graphing calculator. You can certainly draw these graphs by hand if you prefer but there is a dramatic effect that comes from having the calculator draw the graph for you. (Generally the point of the problem will be that two graphs are close to one another.) There is a simple (and I hope easy to use) graphing program on my web site at http://www.math.wisc.edu/~robbin/jplot0/jplot0.html If you have access to a personal computer there are programs which do an even better job than a graphing calculator at drawing graphs. My personal favorite is Maple, but Mathematica is very popular in the College of Engineering. The Math Department Computer Lab is located in 101 Van Vleck and has a large number of computers available for student use. WEB PAGE If you surf the net visit my home page at http://www.math.wisc.edu/~robbin There is a link to the course web page http://www.math.wisc.edu/~robbin/211dir/211.html where you will find the latest version of this syllabus and other interesting information (like locations of exams.) On my web page there is a cool demo of the Pythagorean Theorem and a link to a graphing calculator which works over the web. There are computers all over campus which you can use to surf the net. In particular, you can use the Math Department Computer Lab which is located in 101 Van Vleck. There are some other important links for getting help in math at http://www.math.wisc.edu/~tprogram/mathhelp.html 8