First homework set is to be tuned in for grading on T Sept 1st.

T Aug 25

Handout: Real Numbers

Today we discussed the above handout (less the proof in Sec.2.3.2).

at the beginning of class tomorrow.

all problems in Sec 1.3 pages 2,3

problem 2.3.4 on p. 12 EXCEPT 2.3.2, and 2.3.3 parts c,d,e,f, and 2.3.5

W Aug 26

Sections 2.1-2.4 from the textbook.

2.3: 1, 41

2.4: 13, 15, 17 (I deleted problem 9)

2.2: 2, 10, 12

2.3: [use the definition of the derivative to calculate the following derivatives] 26, 32, 38

2.4: 14

Th Aug 27

Section 2.5

2.5: 6, 14, 18 a,e, 20 a,c,f

F Aug 28

Appendix A2

1. Use the definition of the limit to show that the limit, as x->a of 5x+2 equals 5a+2.

2. Use the definition of the limit to show that the limit, as x->a of x^2 equals a^2.

M Aug 31

From Sec. 2.6 definition of continuous functions, EVT, IVT, Appendix A2 continued

2.6: 16, 18, 22, 24, 30, 36

T Sept 1

From Sec. 2.6: IVT examples, IVT proof (Appendix A3), differentiable functions are continuous,

and Sec. 3.1

3.1: 10, 14, 16, 18, 22

W Sept 2

Sec. 3.2

3.2: 4, 8, 20, 24, 36

Th Sept 3

Sec. 3.3, 3.4

3.3: do as many as you need, for example do at least 1,3,5, 35, 37

3.4: do as many as you need, for example do at least 1,3, 19

3.3: 10, 22, 36, 44, 46a

3.4: 4, 8, 14, 34, 38, 40

F Sept 4

Sec. 3.5

If after reading the article above you are still curious about the formula for solving polynomials of fourth degree,

you can check this website:

Finally,

3.5: 3

3.5: 6,8,30,40

T Sept 8

Sec. 3.6 and we start A4

Roman numerals

2.6: 11 (yes, 2.6)

3.6: 4a,d, 8, 10a

W Sept 9

A4, Sec. 4.1

4.1: 6, 12, 16, 26c, 30b

Also: the function f(x)=|x| has f(-2)=f(2). Can we apply Rolle's theorem to deduce that f'(c)=0 at some c?

Th Sept 10

Sec. 4.2

4.2: 10,12,20

F Sept 11

Sec. 4.3, 4.4

4.3: 11, 28

M Sept 14

Sec. 4.5, 5.2, started 5.3

4.5: 3,5

5.3: you should be able to solve 1...34

4.5: 4, 11

5.3: 26, 32, 34, 36

T Sept 15

5.3 Substitutions

5.3: you should be able to guess a good substitution and solve 37..58

5.3: 46, 48, 50, 56, 58

10.3: 2, 4, 5, 7, 9

Sorry for the typo! Here are my cats.

W Sept 16

Sec. 5.4, 5.5

5.4: you should be able to solve all the problems

5.5:

Sec. 5.4: 6, 11, 15, 19

Sec 5.5: 5, 9, 12

Th Sept 17

Sec. 6.3, B2

6.3: you should be able to solve all the problems

Sec. 6.3: 6a, 7

Also: prove formula (3) page 195 by induction.

F Sept 18

Sec. B2, B1

Sec. B2: 3c, 4c, 8

Sec. B1: 34ac, 35

M Sept 21

Review

T Sept 22

Midterm 1

(and homework due)

W Sept 23

Sec. 6.5, 6.5

Sec. 6.5:

Sec. 6.5: 1, 6

plan:

Th Sept 24

Sec. 6.6

Sec. 6.6: you should be able to solve all the problems

Sec.6.6: 20, 26, 30, 33, 34, 38, 42

F Sept 25

Sec. 6.7

Sec. 6.7: 2, 10, 16

M Sept 28

Sec. 7.1, 7.2

Sec. 7.2: 6, 10, 16, 22, 30

T Sept 29

Sec. 7.3

Solve, write up, and turn in for gradin

Sec. 7.3: 1f, 2, 11, 22