Homework assigned between Aug 25- Sept 29

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).

*Solve the following by tomorrow. You will have the chance to ask questions about these problems
at the beginning of class tomorrow.

Solve (for practice): Exercises on p.7
Solve, write up, and turn in for grading:
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.

*Solve the following by tomorrow. You will have...etc. (see note above)
Solve:
2.3: 1, 41
2.4:  13, 15, 17 (I deleted problem 9)
Solve, write up, and turn in for grading:
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
*Solve the following etc.
Solve: 2.5 you should be able to solve all 1...20.
Solve, write up, and turn in for grading:
2.5: 6, 14, 18 a,e, 20 a,c,f

F Aug 28
Appendix A2
*etc.
Solve:
Solve, write up, and turn in for grading:
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
Solve: 2.6: 1, 17, 19, 21,..., 29, 31,...,33, 37
Solve, write up, and turn in for grading:
2.6: 16, 18, 22, 24, 30, 36

Homework for grading is due tomorrow at the start of class.

T Sept 1
From Sec. 2.6: IVT examples, IVT proof (Appendix A3), differentiable functions are continuous,
and Sec. 3.1
Solve: 3.1: 1...20
Solve, write up, and turn in for grading:
3.1: 10, 14, 16, 18, 22

W Sept 2
Sec. 3.2
Solve: 3.2: 3,5,7,9,11,19,23,27,39
Solve, write up, and turn in for grading:
3.2: 4, 8, 20, 24, 36

Th Sept 3
Sec. 3.3, 3.4
Solve:
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
Solve, write up, and turn in for grading:
3.3: 10, 22, 36, 44, 46a
3.4: 4, 8, 14, 34, 38, 40

F Sept 4
Sec. 3.5
FYI - solving polynomials-web resources: Here is how  The cubic formula looks  like.  This web article  is very nice, please read it.
If after reading the article above you are still curious about the formula for solving polynomials of fourth degree,
you can check this website:
Solving Quartic Equation

Finally,
it can be proved that for polynomials degree 5 and higher there are no general formulas for roots which involve radicals only.

Solve:
3.5: 3
Solve, write up, and turn in for grading:
3.5: 6,8,30,40

T Sept 8
Sec. 3.6 and we start A4
Roman numerals
Solve:  3.6: 1,2,3, 5, 13
2.6: 11 (yes, 2.6)
Solve, write up, and turn in for grading:
3.6: 4a,d, 8, 10a

W Sept 9
A4,  Sec. 4.1
Solve: 4.1: 5, 11, 13, 15, 17, 29
Solve, write up, and turn in for grading:
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
Solve: 4.2: 1,7,9,21,23,24
Solve, write up, and turn in for grading:
4.2: 10,12,20

F Sept 11
Sec. 4.3, 4.4
Solve: 4.3: 1,3,5,31
Solve, write up, and turn in for grading:
4.3: 11, 28

M Sept 14
Sec. 4.5, 5.2, started 5.3
Solve:
4.5: 3,5
5.3: you should be able to solve 1...34
Solve, write up, and turn in for grading:
4.5: 4,  11
5.3: 26, 32, 34, 36

T Sept 15
5.3 Substitutions
Solve:
5.3: you should be able to guess a good substitution and solve 37..58
Solve, write up, and turn in for grading:
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
Solve:
5.4: you should be able to solve all the problems
5.5:
Solve, write up, and turn in for grading:
Sec. 5.4: 6, 11, 15, 19
Sec 5.5: 5, 9, 12

Th Sept 17
Sec.  6.3, B2
Solve:
6.3: you should be able to solve all the problems
Solve, write up, and turn in for grading:
Sec. 6.3: 6a, 7
Also: prove formula (3) page 195 by induction.

F Sept 18
Sec.  B2, B1
Solve, write up, and turn in for grading:
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
Solve:
Sec. 6.5:
Solve, write up, and turn in for grading:
Sec. 6.5: 1, 6
plan:
Th Sept 24
Sec.  6.6
Solve:
Sec. 6.6: you should be able to solve all the problems
Solve, write up, and turn in for grading:
Sec.6.6: 20, 26, 30, 33, 34, 38, 42

F Sept 25
Sec.  6.7
Solve, write up, and turn in for grading:
Sec.  6.7: 2, 10, 16

M Sept 28
Sec.  7.1, 7.2
Solve: 7.2: you should be able to solve all the problems
Solve, write up, and turn in for grading:
Sec.  7.2: 6, 10, 16, 22, 30

T Sept 29
Sec.  7.3

Solve: 7.3:1, 7, 9, 15
Solve, write up, and turn in for gradin
g:

Sec. 7.3: 1f,  2, 11, 22