Homework+-+earlier+(2010-2011)

Past homework ... to reduce the size of the current homework page ....

read **§** 6.5 - Definite Integral
 * Due: Friday, 2010-10-29**

read **§** 6.5 more practice with antiderivatives; initial-value problems; and summations - with approximations of area
 * Due: Thursday, 2010-10-28**
 * §** 6.2 - p386 - 42
 * §** 6.3 - p393 - 45-46, 49
 * §** 6.4 - p405 - 30, 38-39, 44-45

Practice sigma notation and using formulas for sums
 * Due: Wednesday, 2010-10-27**
 * §** 6.3 - p393 - 34-36, 39-40
 * §** 6.4 - p405 - 13, 15, 17, 19, 23-24

Practice sigma notation and using formulas for sums
 * Due: Tuesday, 2010-10-26**
 * §** 6.3 - p393 - 29-33
 * §** 6.4 - p404-405 - 1, 3-6, 11-12

read **§** 6.4 - Sigma Notation and Area as a Limit Test - Questions 13-14: Think about them - learn to do them- learn what not to do
 * Due: Monday, 2010-10-25**
 * §** 6.3 - p392-393 - 7-12, 17-22

Test - Questions 10-12: Think about them - learn to do them- learn what not to do
 * Due: Friday, 2010-10-22**
 * §** 6.2 - p386 - 39, 41, 45, 47
 * §** 6.3 - p392 - 1-4

read **§** 6.3 - integration by substitution Test - Questions 7-9: Think about them - learn to do them- learn what not to do
 * Due: Thursday, 2010-10-21**
 * §** 6.2 - p385 - 4-12 even, 13, 15, 17, 21

Test - Questions 4-6: Think about them - learn to do them- learn what not to do
 * Due: Wednesday, 2010-10-20**
 * §** 6.2 - p385 - 2, 3-11 odd

read **§** 6.2 - Indefinite Integral Test - Questions 1-3: Think about them - learn to do them- learn what not to do Find formulas for area from geometry
 * Due: Tuesday, 2010-10-19**
 * §** 6.1 - p377 - 9-14

Approximate area with sums of areas of rectangle
 * Due: Monday, 2010-10-18**
 * §** 6.1 - p377 - 1-8

introduced **§** 3.7 - Related Rates Assigned Great Related Rates project
 * Wednesday, 2010-10-13**

read **§** 6.1 More Chain Rule practice with derivatives
 * Due: Wednesday, 2010-10-13**
 * §** 3.5 - p209 - 21-34, 43-46

no school - Friday and Monday
 * Tuesday, 2010-10-12**
 * Test -** everything up through **§** 3.5


 * Due: Thursday, 2010-10-07**
 * Test -** everything up through **§** 3.5 [postponed until Tuesday]

read **§** 6.1 More derivatives - including our first practice with the Chain Rule
 * Due: Wednesday, 2010-10-06**
 * §** 3.3 - p200 - 75-79
 * §** 3.4 - p203 - 23-28
 * §** 3.5 - p209 - 6-20

More derivatives - including our first practice with the Chain Rule
 * Due: Tuesday, 2010-10-05**
 * §** 3.3 - p198-199 - 39-46, 51, 57-60
 * §** 3.4 - p203 - 11-20
 * §** 3.5 - p208 - 1-5

read **§** 3.5 More derivatives - including derivatives of basic trig functions
 * Due: Monday, 2010-10-04**
 * §** 3.3 - p198 - 21-28; 33-36
 * §** 3.4 - p203 - 1-10

read **§** 3.4 Product and Quotient Rule practice
 * Due: Friday, 2010-10-01**
 * §** 3.3 - p198 - 13-20

Power rule practice
 * Due: Thursday, 2010-09-30**
 * §** 3.3 - p198 - 1-12

read **§** 3.3 Thinking about derivatives .... limit definition
 * Due: Wednesday, 2010-09-29**
 * §** 3.2 - p188-189 - 13-20, 23

Thinking about derivatives .... limit definition Tue: quizlet on 3.1 - #9 or 13
 * Due: Tuesday, 2010-09-28**
 * §** 3.2 - p188 - 1-4, 9-12

read **§** 3.2 - Derivative as limit of slopes of secant lines Use algebra to find avearge rate of change and instantaneous rate of change
 * Due: Monday, 2010-09-27**
 * §** 3.1 - p176 - 7-17

read **§** 3.1 Slopes, rates of change, and a taste of the real world
 * Due: Friday, 2010-09-24**
 * §** 3.1 - p175 - 1-6

Learn to manipulate limits of the form 0/0 when trig functions are involved
 * Due: Thursday, 2010-09-23**
 * §** 2.6 - p 163, - 1, 3, 13-32
 * §** 2.5 - p 158 - 39, 40, 42 ... on IVT


 * Due: Wednesday, 2010-09-22**
 * nothing :-(**

read **§** 2.6 Write better versions of question 6 and 15 on the quiz; or tell me what confused you
 * Due: Tuesday, 2010-09-21**

Explore the idea of continuity and its reliance on limits to be mathematically precise
 * Due: Monday, 2010-09-20**
 * §** 2.5 - p 156-157, - 1-4, 7-9, 13-28

Quiz on 2.1, 2.2, 2.3
 * Friday, 2010-09-17**

Limit evaluation, and considering piecewise-defined functions Read **§** 2.5
 * Due: Thursday, 2010-09-16**
 * §** 2.3 - p 136-137, - 20-30

Limit evaluation
 * Due: Wednesday, 2010-09-15**
 * §** 2.3 - p 136-137, - 9-19

Practice on limit rules, and the first problems on limit evaluation Read **§** 2.3
 * Due: Tuesday, 2010-09-14**
 * §** 2.3 - p 136, - 1-8

Piecewise functions, rationalizing the numerator (with the intent of cancelling factors), and some thought questions Read **§** 2.3
 * Due: Monday, 2010-09-13**
 * §** 2.2 - p 130, - 31-40

Practice ! ... especially the order in which you apply the criteria .... Substitution first, factoring, more involved techniques ....
 * Due: Friday, 2010-09-10**
 * §** 2.2 - p 130, - 11-30

Practice using the basic limit laws, and a few algebraic limit calculations
 * Due: Thursday, 2010-09-09**
 * §** 2.2 - p 129-130, - 1-10

read **§** 2.2
 * Due: Wednesday, 2010-09-08**

1-14 - you're looking at a graphs and answering questions about what the limits are 15-18 - these are the real thinking questions ....
 * Due: Tuesday, 2010-09-07**
 * §** 2.1 - p ... - 1-18
 * ALSO** - I handed out Cavalieri's principle, work on that :-)

Comments on **§** 2.1 homework

> The homework was section 2.1 (pp. 118-120) #1=>18 > The first 12 problems are just to give you some practice "seeing" or visualizing limits. Many of you aren't yet convinced that 'limits' are a good idea :-) In order to try and help; and in the spirit of the Anthony Robbins tape clip; let me let you in on the big ideas ... the way to think about limits.... 1) Limits have nothing to do with the values of a function at a point. This is the complete opposite of your previous math courses, where you were interested only in th value of a function **at** a point.

2) Limits describe the behavior of a function relationship or graph as //x// (the independent variable) approaches a particular point. 3) Since a real number can be approached from two different directions (the left - or negative - side; and the right - or positive - side) we talk about one-sided limits. 4) If both one-sided limits are 'the same', the two-sided limit is defined to be that identical value. 5) Limits exist to make more mathematically precise and generalize the idea of **end behavior** - the same idea from pre-calculus. The limit as //x// approaches negative inifinity is the end behavior to the left The limit as //x// approaches positive infinity is the end behavior to the right

6) The idea of a vertical asymptote is now defined to be a one- or two-sided limit "equal to" plus or minus infinity - - - -

> problems 13 and 14 are higher level thought problems where you describe all the //x//-values that have a limit > problems 15 - 18 are important problems that indicate whether you understand these ideas associated with limits. - - - -

Read **§** 2.1 - Limits (an intuitive approach)
 * Due: Thursday, 2010-09-02**

Selected - **difficult** - Precalculus problems
 * Due: Wednesday, 2010-09-01**