College Mathematics Assignments & Special Problems

Tuesday, September 30, 2008

Chapter 1 and Chapter 2 Homework Assignments

Assignment 1 / Section 1.1 / pg. 5-8 / 1-11, 15, 19, 22-24, 27-32, 36, 40, 42, 44, 48, (51, 52) last two are challenging

additionally prove deductively:
1. that the product of odd and an even must be even
2. the square of a even is even

Chapter 2 Set Theory

Assignment 2 / Section 2.1 / pg. 46-50/1-12 (in notes), 20, 22, 26-29, 40, 46, 47, 49, 52, 56, 58, 60, 65, 76, 78, 79, 80, 84, 85, 91-94

Assignment 3 / 7th Edition / Section 2.2 /pg. 54-55/1-6(in notes), 8-32(even), 33-36, 38-50(even), 54-57
Assignment 3 / 8th Edition/ Section 2.2/pg. 58-59/Same numbers as above

Assignment 4 / 7th edition/ Section 2.3 / pg. 62-66 /1-14(in notes), 69-84, 87, 88, 108, 110, 112, 120, 122
Assignment 4/ 8th Edition/ Section 2.3/pg. 68-71 /1-14(in notes), 83-98, 101, 102, 122, 124, 126, 71, 74

Assignment 5 / 7th ed /Section 2.4 / pg. 71-75/ 1-8(in notes), 9, 10, 15, 17-22, 41-46, 53, 54, 64, 66, 68, 74, 76, 78, 80, 82, 86(challenging one)
Assignment 5/ 8th ed / Section 2.4/ pg. 77-82/ same numbers as above

Assignment 6 / Section 2.5 / pg. 80 (7th ed.) or pg. 86 (8th ed.)/2-14(even), 16 for all you crazies

Assignment 7/ Section 2.6 / pg. 86/ 1, 2, 5, 10, 15, 16 & Special problem

Study Group Assignment for Test 1

7th edition /pg 35-36 / 1-6, 10-11 and pg. 38 / 1-3 (for the problems dealing with sequences also tell me what kind of sequence, arithematic, geometric, or recursive) and pg. 90 / 1-18 (for 17 make sure you are not using the sets provided in the previous problems but a general diagram in which the regions are all labeled one through four in the case of two sets or one through eight in the case of eight sets.)

8th edition / pg 37-38 / 1-6, 10-11 and pg 41/1-3 (for the problems dealing with sequences also tell me what kind of sequence, arithematic, geometric, or recursive)and pg 97-98 1-20 (for 19 make sure you are not using the sets provided in the previous problems but a general diagram in which the regions are all labeled one through four in the case of two sets or one through eight in the case of eight sets.)

Labels: , ,

College Math Special Problem

From the information below create a Venn Diagram labeling the circles for Pizza P, Burgers B and Nuggets N and showing cardinality of each subregion. (Don't forget some people are in the overlap of more than one). Also finish writing in the symbolic notation for the various pieces of information provided as I started to do for the first three.

20 people ate burgers total n(B)
27 people ate Pizza n(P)
21 people ate nuggets n(N)
9 people ate both burgers and nuggets
8 people ate both burgers and pizza
12 people ate both pizza and nuggets
5 people ate pizza, burgers, and nuggets this week
6 people didn't have any of these items


Answer the following:

1. How many people were surveyed?

2. How many people ate Pizza but NOT burgers

3. How many ate Nuggets or Pizza

(Note: "or" is not to say that some that you should include here did not have both, this is what is called an inclusive or. It includes those who meet both descriptions, see page 61, 93-94)

4. How many ate burgers or Nuggets but not pizza

5. In each of the previous 5 questions what was the symbolic noation for the sets you were looking for? You will need to use the letters P, B, N for the sets and then the symbols for union, intersection, and/or complement to answer.

Labels: ,

Chapter 3 Logic Assignments

Assignment #8
Section 3.1 / 1-8,9-90(3)
Section 3.2/1-4
NOTE: a number in parenthesis means to skip by that amount

Assignment #10
Section 3.2/ 5-69(4)
Section 3.3 /1-6,7-75(4)

Assignment #11
Section 3.4 /7th edition/5,6,11-79(4),81,83
....................8th edition/5,6,11-79(4),83,85

NOTE: The editions don't match problems exactly and jumble them all around (because the publishers want to force students to buy new books), however, while the problems do not match word for word, the giest of both assignments are the same

Assignment #12
Section 3.5 /7-12all,13-67(6)

Assignment #13
Section 3.6 /1-6,7-29odd

Study Group Assignment: Chapter Test/1-20 and also 7th ed/pg162/41, 44, 47 or 8th ed/pg 177/37,40,43

Labels: ,

Chapter 6 Algebra Assignments

Assignment 14
Section 6.2 /40-62(even),67, 70, 76-77
Section 6.3 / 1-6, 7-70(5), and 71, 75, 76, 77 if 7th ed and 73,77-79 if 8th edition

Assignment 15
Section 6.4/ 5-47(3)

Section 6.5/ none
Section 6.6 / 15, 19, 21-24, 37-44, 47-48, 55, 58

Assignment 16

Click here to print out this assignment individually
Problems employing Natural Logs:
1. Evaluate y = A(b)^(kx)

that is y is equal to A (some amount) times b (the base) raised to the k times x power.
a. When A = 30, b = e and k = .05 and x = 0
b. When A = 15,000, b = 1.08, k = 1 and x = 10
c. When A = 120,000 , b = e, k = -.012 and x = 30
d. Find x when A = 3, b = e, k = 2, y = 445.24
e. Find x when A = 180,000 , b = 3 , k = 2 and y = 20,000


2. One very important exponential equation is the compound-interest
formula: found on page 614. It says:

A = P ( 1 + r/n)^(nt)

...where "A" is the ending amount, "P" is the beginning amount (or "principal"), "r" is the interest rate (expressed as a decimal), "n" is the number of compoundings a year, and "t" is the total number of years. The formula calculates the amount (A) owed a person who leaves their money (P) in an account that compounds interest in n times per year, based on a rate of r % Interest per year, for t years of time.

a. Use this formula to calculate the amount of money $10,000 would earn if it were invested at 4.5 percent per year for 8 years in an account that compounded the interest monthly (12 times per year)

b. USe this formula to calculate how long until the investment will have earned a 50% return (that is how long until the investment earns $5000 in interest and is valued at $15,000 total)

c. Use this formula to calulate what interest rate double a person's initial investment in 12 years if the account the account compounded the interest on a monthly basis.

Assignment 17
Section 6.7 / 1-6, 35-90(5), 91-99(odd),103,104

Assignment 18
Section 6.8 / p. 350 / 3, 9, 16, 20, 21, 23, 24, 27
Section 6.9 / p. 360-361 / 1-6, 7-34(3), 35-75(5), 81-83

Assignment 19
Section 6.10 / p.372-375 / TBA if we make it this far


Study Group Assignment for Algebra Test

You should start these on your own and then come to your study group to work together on the ones you are having trouble with. Otherwise you will waste your hour completing the work you could have figured out on your own.

pg. 377-379/5, 12-14, 18-22, 27, 28, 33-36, 51-52, 66, 70, 73-76, 80, 83, 95- 100, 115
For number 115, find also the depth at which 99% of the light is filtered out

Also try these:

1. A certain rectangle has perimeter of 108 feet. Its length is 4 more than twice the width. Find the dimensions.

2. A certain mad scientist, wants to blow up a rocket when it is 4000 feet above the ground and release a chemical agent that will attract love bugs from across the state to our campus. If the equation for the height of the rocket t-seconds after launch is h = -16t^2 + 560t , calculate how many seconds the mad scientist needs to time th rockets fuse for explosion at the proper height.

Labels: ,

Assignment 16
Problems Involving Natural Logs

1. Evaluate y = A(b)^(kx)
that is y is equal to A (some amount) times b (the base) raised to the k times x power.
a. When A = 30, b = e and k = .05 and x = 0
b. When A = 15,000, b = 1.08, k = 1 and x = 10
c. When A = 120,000 , b = e, k = -.012 and x = 30
d. Find x when A = 3, b = e, k = 2, y = 445.24
e. Find x when A = 180,000 , b = 3 , k = 2 and y = 20,000



2. One very important exponential equation is the compound-interest
formula: found on page 614. It says:

A = P ( 1 + r/n)^(nt)

...where "A" is the ending amount, "P" is the beginning amount (or "principal"), "r" is the interest rate (expressed as a decimal), "n" is the number of compoundings a year, and "t" is the total number of years. The formula calculates the amount (A) owed a person who leaves their money (P) in an account that compounds interest in n times per year, based on a rate of r % Interest per year, for t years of time.

a. Use this formula to calculate the amount of money $10,000 would earn if it were invested at 4.5 percent per year for 8 years in an account that compounded the interest monthly (12 times per year)

b. Use this formula to calulate what interest rate would need to be paid to double a person intial investment if the account they deposited it in compunded monthly


Chapter 9 Geometry homeworks

Section 9.1/1-12(all),13-44(3), 45-52(all),54,55,59,61,65-70,72-104(4)

Section9.2/ 1-6,7-68(3),79

Section 9.3/ 1-4,5-53(3),55,56

Section 9.4/ 1-6,7-34(3),44,50,53-57(odd),59-61

Section 9.5/ 17-37(odd)

Study Group Assignment for Chapter 9

Review the definitions involving Acute, Right, Obtuse, Straight, Complementary, Supplementary, and Vertical angles.
.
Do number 7 on page 557 (or #7 on p 607 in the 8th edition)
.
On alternate interior angles, corresponding angles, same-side interior angles and similarity do problem 77 on page 484 (78 on page 525 in 8th edition), number 34 on page 492 (33 on p534 8th ed), 53-56 on page 493 (p. 535 8th ed), 9-14 on page 554 (8th p.603), and 73 and 79 on page 494-495 (8th ed. p. 536)
.
Review the sum of the interior angles formula by doing 43-45 on page 492 (or 37,40, &44 on page 534 8th ed.)
.
If I did not tell you that the height of the trapezoid in number 17 on page 554 (8th ed. 16 pg 603) was two, show me how you would go about finding it.
.
Suppose instead of traveling 5 blocks north, three blocks west and then two more blocks north, I cut through back yards and went direct. How much distance would my short cut save me? (pythagorean Theorem)
.
in regards to area and perimeter try 7,8,11, and 24 on page 503-504
(or 8th edition 7,8,11,23 on page 546) also review heron's formula for finding the area of triangles by using the semiperimeter
.
for volume p. 515 try numbers 8, 12,13, 18, and 26 (or p. 561 in the 8th ed. 8, 14,18,20,25) and try this:
.
Suppose I have a pyramid buillt on a triangles whose sides are 4inches, 5inches and 6inches respectively. if its height is 10inches, find the volume. use heron's formula.
.
lastly...he he he
pg 534 (8th ed p.579) try doing your homework!
.

Thursday, February 28, 2008

Assignment 16


Problems employing Natural Logs:
1. Evaluate y = A(b)^(kx)

that is y is equal to A (some amount) times b (the base) raised to the k times x power.
a. When A = 30, b = e and k = .05 and x = 0
b. When A = 15,000, b = 1.08, k = 1 and x = 10
c. When A = 120,000 , b = e, k = -.012 and x = 30
d. Find x when A = 3, b = e, k = 2, y = 445.24
e. Find x when A = 180,000 , b = 3 , k = 2 and y = 20,000


2. One very important exponential equation is the compound-interest
formula: found on page 614. It says:

A = P ( 1 + r/n)^(nt)

...where "A" is the ending amount, "P" is the beginning amount (or "principal"), "r" is the interest rate (expressed as a decimal), "n" is the number of compoundings a year, and "t" is the total number of years. The formula calculates the amount (A) owed a person who leaves their money (P) in an account that compounds interest in n times per year, based on a rate of r % Interest per year, for t years of time.

a. Use this formula to calculate the amount of money $10,000 would earn if it were invested at 4.5 percent per year for 8 years in an account that compounded the interest monthly (12 times per year)

b. USe this formula to calculate how long until the investment will have earned a 50% return (that is how long until the investment earns $5000 in interest and is valued at $15,000 total)

c. Use this formula to calulate what interest rate double a person's initial investment in 12 years if the account the account compounded the interest on a monthly basis.



Labels: , , ,

Tuesday, January 29, 2008

INFORMATION REGARDING STUDY GROUPS AND SERVICE LEARNING

Pick up your study group registration form outside my door. It must be signed and intialed by a full time faculty/staff. Turn that into me before the test and show me your completed study group assignment when I check the homework to get the extra 5pts added to the test. Though one registration form is sufficient for the whole group for end of year credit, Each individual person in the group must turn in their own completed review work to recieve the five points of extra credit on the test.

Tuesday, January 08, 2008

Chapter 1 and Chapter 2 Homework Assignments

Assignment 1 / Section 1.1 / pg. 5-8 / 1-11, 15, 19, 22-24, 27-32, 36, 40, 42, 44, 48, (51, 52) last two are challenging

additionally prove deductively:
1. that the product of odd and an even must be even
2. the square of a even is even

Chapter 2 Set Theory

Assignment 2 / Section 2.1 / pg. 46-50/1-12 (in notes), 20, 22, 26-29, 40, 46, 47, 49, 52, 56, 58, 60, 65, 76, 78, 79, 80, 84, 85, 91-94

Assignment 3 / 7th Edition / Section 2.2 /pg. 54-55/1-6(in notes), 8-32(even), 33-36, 38-50(even), 54-57
Assignment 3 / 8th Edition/ Section 2.2/pg. 58-59/Same numbers as above

Assignment 4 / 7th edition/ Section 2.3 / pg. 62-66 /1-14(in notes), 69-84, 87, 88, 108, 110, 112, 120, 122
Assignment 4/ 8th Edition/ Section 2.3/pg. 68-71 /1-14(in notes), 83-98, 101, 102, 122, 124, 126, 71, 74

Assignment 5 / 7th ed /Section 2.4 / pg. 71-75/ 1-8(in notes), 9, 10, 15, 17-22, 41-46, 53, 54, 64, 66, 68, 74, 76, 78, 80, 82, 86(challenging one)
Assignment 5/ 8th ed / Section 2.4/ pg. 77-82/ same numbers as above

Assignment 6 / Section 2.5 / pg. 80 (7th ed.) or pg. 86 (8th ed.)/2-14(even), 16 for all you crazies

Assignment 7/ Section 2.6 / pg. 86/ 1, 2, 5, 10, 15, 16 & Special problem

Study Group Assignment for Test 1

7th edition /pg 35-36 / 1-6, 10-11 and pg. 38 / 1-3 (for the problems dealing with sequences also tell me what kind of sequence, arithematic, geometric, or recursive) and pg. 90 / 1-18 (for 17 make sure you are not using the sets provided in the previous problems but a general diagram in which the regions are all labeled one through four in the case of two sets or one through eight in the case of eight sets.)

8th edition / pg 37-38 / 1-6, 10-11 and pg 41/1-3 (for the problems dealing with sequences also tell me what kind of sequence, arithematic, geometric, or recursive)and pg 97-98 1-20 (for 19 make sure you are not using the sets provided in the previous problems but a general diagram in which the regions are all labeled one through four in the case of two sets or one through eight in the case of eight sets.)

Labels: , , , ,

Tuesday, November 13, 2007

Chapter 6 Algebra Assignments

Assignment 14
Section 6.3 / p. 311-313 / 1-6, 7-70(5), 71, 75, 76, 77

Assignment 15
Section 6.4/ p. 317-319 / 5-47(3)

Assignment 16


Click here to print out this assignment individually
Problems employing Natural Logs:
1. Evaluate y = A(b)^(kx)

that is y is equal to A (some amount) times b (the base) raised to the k times x power.
a. When A = 30, b = e and k = .05 and x = 0
b. When A = 15,000, b = 1.08, k = 1 and x = 10
c. When A = 120,000 , b = e, k = -.012 and x = 30
d. Find x when A = 3, b = e, k = 2, y = 445.24
e. Find x when A = 180,000 , b = 3 , k = 2 and y = 20,000




2. One very important exponential equation is the compound-interest
formula: found on page 614. It says:

A = P ( 1 + r/n)^(nt)

...where "A" is the ending amount, "P" is the beginning amount (or "principal"), "r" is the interest rate (expressed as a decimal), "n" is the number of compoundings a year, and "t" is the total number of years. The formula calculates the amount (A) owed a person who leaves their money (P) in an account that compounds interest in n times per year, based on a rate of r % Interest per year, for t years of time.

a. Use this formula to calculate the amount of money $10,000 would earn if it were invested at 4.5 percent per year for 8 years in an account that compounded the interest monthly (12 times per year)

b. Use this formula to calulate what interest rate would need to be paid to double a person intial investment if the account they deposited it in compunded monthly


Section 6.5 / none

Assignment 17
Section 6.6 / p. 333-334 / 15, 19, 21-24, 37-44, 47-48, 55, 58
Section 6.7 / p. 344-347 / 1-6, 35-90(5), 91-99(odd),103,104

Assignment 18
Section 6.8 / p. 350 / 3, 9, 16, 20, 21, 23, 24, 27
Section 6.9 / p. 360-361 / 1-6, 7-34(3), 35-75(5), 81-83

Assignment 19
Section 6.10 / p.372-375 / TBA if we make it this far


Study Group Assignment for Algebra Test

You should start these on your own and then come to your study group to work together on the ones you are having trouble with. Otherwise you will waste your hour completing the work you could have figured out on your own.

pg. 377-379/5, 12-14, 18-22, 27, 28, 33-36, 51-52, 66, 70, 73-76, 80, 83, 95- 100, 115
For number 115, find also the depth at which 99% of the light is filtered out

Also try these:

1. A certain rectangle has perimeter of 108 feet. Its length is 4 more than twice the width. Find the dimensions.

2. A certain mad scientist, wants to blow up a rocket when it is 4000 feet above the ground and release a chemical agent that will attract love bugs from across the state to our campus. If the equation for the height of the rocket t-seconds after launch is h = -16t^2 + 560t , calculate how many seconds the mad scientist needs to time th rockets fuse for explosion at the proper height.

Labels: ,

Wednesday, April 25, 2007

Chapter 9 Geometry homeworks

Section 9.1/pg 482-484/1-12(all),13-44(3), 45-52(all),54,55,59,61,65-70,72-104(4)

Section9.2/ pg 491-495/ 1-6,7-68(3),79

Section 9.3/ pg 503-507/1-4,5-53(3),55,56

Section 9.4/ pg 515-518/ 1-6,7-34(3),44,50,53-57(odd),59-61

Section 9.5/ pg 533-535/ 17-37(odd)

Study Group Assignment for Chapter 9

Review the definitions involving Acute, Right, Obtuse, Straight, Complementary, Supplementary, and Vertical angles.
.
Do number 7 on page 557
.
On alternate interior angles, corresponding angles, same-side interior angles and similarity do problem 77 on page 484, number 34 on page 492, 53-56 on page 493, 9-14 on page 554, and 73 and 79 on page 494-495
.
Review the sum of the interior angles formula by doing 43-45 on page 492
.
If I did not tell you that the height of the trapezoid in number 17 on page 554 was two, show me how you would go about finding it.
.
Suppose instead of traveling 5 blocks north, three blocks west and then two more blocks north, I cut through back yards and went direct. How much distance would my short cut save me?
.
in regards to area and perimeter try 7,8,11, and 24 on page 503-504
also review heron's formula for finding the area of triangles by using the semiperimeter
.
for volume try numbers 8, 12, 18, and 26 and try this:
.
Suppose I have a pyramid buillt on a triangles whose sides are 4inches, 5inches and 6inches
respectively. if its height is 10inches, find the volume.
.
lastly...he he he
pg 534 try doing your homework!
.

Labels: ,

Thursday, March 01, 2007

Chapter 3 Logic Assignments

Assignment #8
Section 3.1 / 1-8,9-90(3)
Section 3.2/1-4
NOTE: a number in parenthesis means to skip by that amount

Assignment #10
Section 3.2/ 5-69(4)
Section 3.3 /1-6,7-75(4)

Assignment #11
Section 3.4 /7th edition/5,6,11-79(4),81,83
....................8th edition/5,6,11-79(4),83,85

NOTE: The editions don't match problems exactly and jumble them all around (because the publishers want to force students to buy new books), however, while the problems do not match word for word, the giest of both assignments are the same

Assignment #12
Section 3.5 /7-12all,13-67(6)

Assignment #13
Section 3.6 pg.158-159/1-6,7-29odd

Study Group Assignment: pg.163/1-20 and also pg162/41,44,48

Labels: ,