Math 141 (Calculus I)
Section 200, Fall 1997

Daily Syllabus

• First day of class.
  In class - #1,2,3,4,6,8,9 from section 1.1.
  Homework - read preface, section 1.1, and section 1.2; buy calculator; do problems #1,2,3,4,5,6,8,9,10,14 from section 1.1, and #1,2,3,4,5 from section 1.2.

• M: Examples of functions are given graphically, numerically, and algebraically. Final exam date should be 12/9/97 on course info sheet.
  In class - fill in the missing values from a table given that y is a linear function of x.
  Homework - read 1.3; start reading HP48G Quick Start Guide; do #7,12,13,14,15,21 from section 1.2; study for Wednesday's quiz taken from homework and reading.
• T: At board - #7,12,15 from section 1.2
  Introduction to the calculator (using the stack, plotting a function). Quiz tomorrow on 1.1 & 1.2.
• W: Last day to withdraw without receiving a grade of 'W'.
  Quiz 1 given. How to look at a table for a function and decide if it could possibly represent linear or exponential growth. If so, find a formula.
  Homework - do #1,3,5,7,9,11 from section 1.3.
• Th: Brian goes over quiz. I answer questions from 1.3.
  In class - #15-20 from section 1.3. (15 and 16 done at board)
  Homework - #15 - 20 from section 1.3; Read section 1.4; #1 - 6 from section 1.4.

• M: Labor Day - No Class
• T: I answer questions from 1.3 and then discuss rules of logarithms. Homework - #8,10,11,12,13,15 from section 1.4; Read sections 1.6 and 1.7; #3,5,6,9,12,15,17,18,20,22,26 from section 1.6; #2,5,8,13,15,18,20,32,35, 36,37,38 from section 1.7. The first few from section 1.6 done in class.
• W: Take pictures of each group. Write most of the solutions from 1.6 and 1.7 at the board. Students work in groups on these problems. Quiz tomorrow on 1.6 and 1.7.
• Th: I lecture on shifting graphs, odd & even functions, basic trigonometry (unit circle, radians, evaluating sin(t) and cos(t) for various t, graph of f(t)=sin(t) and f(t)=cos(t)). I answer questions from 1.6 and 1.7. Quiz 2 given.
  Homework - Read sections 1.9, 1.10, and 1.11; Do #2,5,8,13,16,17,19,23,24,25,29,30 from section 1.9; Do #1,4,5,7,9,14,18,20,21,27,30,33,34,35 from section 1.10.

• M: Jiangguo goes over quiz 2. I answer questions from 1.9 & 1.10
  Homework - #1,2,3,6,7,10,14 from section 1.11; Practice plotting one or more functions at the same time on calculator; Review questions from chapter 1 that you had difficulty with (perhaps plotting on the calculator will help.)
  Quiz tomorrow on 1.9, 1.10, and 1.11.
• T: I answer questions from 1.10 & 1.11. We step through defining a function and purging files on the calculator. Quiz 3 given. Students are allowed to take one page of it home to turn in tomorrow.
  Homework - #38, 39 from section 1.10. Finish up all assigned homework from chapter 1.
• W: Average and instantaneous velocity discussed. Average and instantaneous rate of change discussed. In particular, we narrowed down the instantaneous rate of change of f(x)=x^x at x=2 by refining our table of values.
  Homework - Read 2.1 and 2.2; Do #1,2,3,5,6,7,10,11,12 from section 2.1; Do #1,2,6,9,10,13,15, 18,19,22 from section 2.2.
• Th: Work in groups on problems from 2.1 and 2.2;
  Homework - finish these problems and read 2.3.
  Exam next Thursday on chapter 1 (skip sections 1.5 and 1.8) and chapter 2 (2.1 - 2.5, if we get that far.)

• M: Homework - Read 2.4; Do #1-6,8,12-18,21,23,25,27,29,31 from section 2.3.
• T: Homework - Do #??? from section 2.4.
• W:Tomorrow's exam will be on chapter 1 (skip 1.5 and 1.8) and chapter 2 (just 2.1 - 2.4). Review in class and at 8:00 pm in LeConte 412.
• Th: Exam 1

• M: Exams returned and discussed.
  Homework - Read 2.5.
• T: I Discuss 2.5 and a bit of 2.6.
  Homework - Read 2.6; Do #1,2,4,6,10,11 from section 2.5 and #1,2,5,6,10 from section 2.6
  Due tomorrow - #1,4,10 from section 2.5 and #2 from section 2.6.
• W: Collect homework from 2.5 and 2.6. I answer questions from 2.6, then students work in groups to approximate limits using their calculators.
  Homework - Read 2.7 and 2.8; Do # 1,2,3,4,5,9,10,11 from section 2.7.
  Quiz tomorrow on 2.5, 2.6, and 2.7.
• Th: Put in new groups, get info for distributing list of student phone numbers, addresses, etc., hand out group project (orchard problem). All day was spent using the calculator in multiple ways to answer questions like estimate f'(0.5), find roots to a specified number of decimal places, find where f'(x)=0, find limits.
  Homework - Read 3.1; Do #6 from section 2.7; Do #1,2,5,6 from section 2.8; Do #1,2,5,6 from section 3.1.
  Quiz - this was given as a take-home group quiz to be turned in Monday (quiz questions were #3 from 2.5, #10 from 2.6, and #11 from 2.7)

• M: Answer manuals are available for $4 at the Russell House Bookstore. Group quizzes are collected. Group project problems (due 9/7/97) are distributed.
  Homework - Read 3.2; Do #3,4,5,11,13,15,17,20 from section 3.2.
• T: Slowed down a bit to better understand 3.1 and 3.2. Sent calculator program 'RIEMANN' to each student.
  Homework - finish up all assigned problems from 3.1 and 3.2 (for #3,4,5 do n=2 and n=4 by hand, do n=2,4,10,50,250 with calculator program 'RIEMANN'. Compare your answers by hand to calculator answers.)
  Due tomorrow - #3,6 from 3.1 and #13 from 3.2.
• W: Showed how to approximate the definite integral of 5x from 1 to 3 in 4 or 5 different ways (Riemann sums by hand or by calculator program, the definite integral button on the calculator, area of a rectangle added to area of a triangle, mentioned that we will learn a formula approach later.) Students worked in groups on tonight's homework. Quiz tomorrow on 3.1 - 3.3.
  Homework - Read 3.3; Do #1,2,4,6,7,12,16,18,19,20 from 3.3.
• Th: Last day to drop without receiving a grade of 'WF'.
  Quiz 5 given. Worksheet 1 distributed. Work in groups on worksheet problems.
  Homework - Do #1,2,3,4,6,7abcd from worksheet. Read 3.4 and prepare for a quiz on Monday based on your reading.

• M: Student phone/address/email list passed out. Quiz #6 given (State Fundamental Theorem of Calculus.) Work in class on group projects.
• T: Group projects due at the beginning of today's class. I discuss average value and fundamental theorem. Groups work on problems from section 3.4.
  Homework - Do #1,6,8,9,10,11,15,16,17,18 from section 3.4; Turn in #6,8,10 for tomorrow.
• W: I answer questions from 3.4; They work in groups on tonight's homework. Quiz tomorrow on section 3.4.
  Homework - Do #2,3,4,5,7,12,13,14,19,20,21 from section 3.4.
• Th: I discuss sections 4.1 and 4.2. Work in groups on questions from 4.2. Group quiz given.
  Homework - Read 4.1 and 4.2. Do #1,3,5,7,9,11,13,15,17,31,32,33,38,43,44 from section 4.2.

• M: Fall Break - No Class
• T: Fall Break - No Class
• W: Quiz tomorrow on 4.1 - 4.3. Approximately half the quiz will be to complete a table of derivative rules.
  Homework - Read 4.3. Do #1 - 29 odd, 31, 32, 35.
• Th: Product Rule, Quotient Rule, Chain Rule. Exam next Thursday will cover up to and including section 4.7. Quiz was given at end of class.
  Homework - #3-17 odd and #25 from section 4.4; #1-23 odd, #26 and #30 from section 4.5; #1-19 odd from section 4.6; #1-11 odd from section 4.7.

• M: Quiz discussed. Work in class on old and new homework. Thursday's exam will cover chapter 3 and chapter 4(up to middle of page 227), but it will also rely on an understanding of basic concepts from chapters 1 and 2(i.e. derivative gives slope of graph, 2nd derivative gives concavity.)
  Homework - #26(sect 4.4), #27,28,29(sect 4.5), #22,24(sect 4.6), #18,21,22,23(sect 4.7)
  Due tomorrow - #7,25(sect 4.4), #19(sect 4.5), #17(sect 4.6), #3(sect 4.7)
  Quiz tomorrow on completing table of derivative rules (including product, quotient, and chain rules.)
• T: I answer homework questions most of the day.
• W: Exam tomorrow on section 2.5 and sections 3.1 - 4.7 (up to middle of page 227.) In class review given today. Tonight their will be some review sessions in LC412: 6:00 pm with Mrs. O'Leary and 8:00 pm with me.
• Th: Exam 2

• M: Exams with solutions returned. Discussed #5,#11. Finding tangent lines of implicitly defined functions is discussed.
  Homework - Read section 4.8 and do #1,6,8,9,11,15,16; Read about inverse functions on pages 35-38,72,227-228.
• T: Students and I present solutions to problems from 4.8. A bit about inverse functions is discussed.
  Homework - Read end of 4.7 carefully. Do #13-16.
• W: Students work in group on inverse function problems. Given that f is invertible, write a table of values for f^{-1} given a table for f. Given a graph of y vs. x, determine if y is a function of x; if so, is it invertible?; if so, sketch the inverse. Now determine if x is a function of y; if so, is it invertible?; if so, sketch the inverse. Given a formula for f(x), is it invertible? Can you find a formula for the inverse? Note that f(x)=x^3+5x+10 is invertible even though we don't know how to find a formula. We can still approximate f{-1}(11) by tracing the graph on our calculators.
  Quiz tomorrow on implicit functions, inverse functions, and derivative formulas for arcsin(x) and arctan(x).
• Th: Looked at f(f^{-1}(x)) = x and took derivative of both sides in order to find formula for derivative of f^{-1}(x). Discussed local linearization from 4.9 and critical values, local max & min from 5.1. Quiz 10 given.
  Homework - Read 4.9 and 5.1. Do #1,2,3,4,6 from section 4.9 and #1,2,3,4 from section 5.1.
  For Monday, turn in #14 from 4.7, #10 from 4.8, and #1,4 from 4.9.

• M: Finally passed back and discussed first group project. Answered a couple of questions from 4.9 and 5.1.
  Homework - Read 5.2. Do #5,7,9,10,14,16,17,22,23,25 from section 5.1.
• T: Work in class on homework from 5.1 and 5.2. Quiz tomorrow based on this homework.
  Homework - Do #1,2,3,4,5,6,7 from section 5.2.
• W: Answer questions from 5.1 and 5.2. Give quiz 11.
  Homework - Do #9,11,12,15,17,19,28 from section 5.2; Read 5.3.
• Th: Went over quiz. Gave handout on optimization problems(taken from Thomas & Finney, 9th ed., pages 242-247). Worked in groups on #2,6,7,9 from handout.
  Homework - Read 5.5. Do #1,2,3,4,5 from section 5.3 and #1,2,3,4 from section 5.5.

• M: Answered questions from 5.3 and 5.5.
  Homework - Read 5.6. Do #8 from 5.3 and #3,5,6,9,12,15 from 5.6.
  For tomorrow, turn in #8 from 5.3 and #5,9,12 from 5.6.
• T: 2nd group project distributed. I stated theorem about continuous functions achieving max and min on closed intervals. I summarized approach to max-min problems by doing #7,9 from handout. Students worked on #10,13 from handout as well as yesterdays homework.
  Homework - an extension given until tomorrow for #8 from 5.3 and #5,9,12 from 5.6. (only 1.5 out of 2.5 points for solving with calculator those questions which can be solved exactly with calculus.)
• W: Went over questions from homework. Quiz tomorrow on 5.5, 5.6, and handout.
  Homework - Do #17,45,21,56,30,38 from handout.
• Th: I spent 20 minutes answering questions about homework. Remainder of period spent on a long group quiz - full credit given for solving problem with calculator.
  Homework - Redo quiz at home using calculus to find exact answers. Read 6.1 and do #1,3,5,6,10,15 from that section.

• M: Quizzes with solutions are passed out. I discuss one of them and a couple of questions from 6.1. Students work on group projects for remainder of class. Thursday's exam will cover sections 4.8,4.9,5.1,5.2,5.3,5.5,5.6,and 6.1.
• T: I discussed #15 from 6.1, passed out guidelines for a good group project, and let students work on group projects all day. Review sessions will be tomorrow night in LC412 (Murphy - 5pm-7pm, Oleary - 7pm-9pm)
• W: Answered questions about exam all day.
• Th: Exam 3 - solution sheet passed out at end of exam.

• M: Did definite integral of x from a to b geometrically. Wrote down rules for the definite integrals of cos(x), sin(x), 1/x, and x^n when n does not equal -1. Students worked in groups on tonights homework. I collected group projects at end of class.
  Homework - Read 6.2 and do #4,5,7,9 from that section. Read 7.1 and do #41-50 from that section.
  Turn in tomorrow - #4,5 from section 6.2.
• T: I summarized 6.2 and answered questions from that section. Some examples given where integrand was complicated (e.g. sin(e^x+x^3)/10) but knowing that -1<=sin(anything)<=1 helped us say that the definite integral was between given values. We also did the guess and check method of finding antiderivatives. It takes a longer time than anticipated for them to guess a correct antiderivative for 2^x.
• W: Thanksgiving - No Class
• Th: Thanksgiving - No Class

• M: I discussed section 6.3, passed back exams, announced that the percentage on the final exam will replace the lowest exam score (only of course if this helps student's grade.) Students filled out evaluations for me and for each TA.
  Homework - Read 6.3 and do #1-4,7,9,12,15,16,18.
• T: Review. The final exam will cover the entire course up to and including section 6.3.
• W: Review. I will hold a review session Monday night starting at 6:00 pm. I had announced this to be in LeConte 412 but found it will be in use from 5:00 pm - 7:00 pm. Look for signs outside room 412 directing you to the new location.
• Th: Last day of class. More review.

• Cumulative Final Exam, 9 am - noon, LC412. [Note correction!]