Dear Math 110ers-
There are two reviews coming up for Test 2, tonight and tomorrow night. Here are the details:
Date: Wed Sept 29th
Time: 7-9 PM
Location: JKB 1104
TA: To Be Determined
Tests Covered: Test 2 from W ‘10
-AND-
Date: Thu Sept 30th
Time: 7-9 PM
Location: JKB 1104
TA: To Be Determined
Tests Covered: Test 2 from F ‘09
These tests can be found online at:
http://math.byu.edu/~wright/Math%20110/Math110.html
Good luck with Midterms!
-Math Lab Blogger
Wednesday, September 29, 2010
Friday, September 24, 2010
Math 313 - Understanding a Basis
Dear Math 313 and 302 students,
I know how difficult it can be to understand the concept of a basis. Hopefully this will help.
A basis is simply the set containing the fewest necessary vectors possible to represent a space.
If that didn't make any sense at all, then picture a blank x-y axis. Let the two lines (the x-axis and the y-axis) be vectors. You can notice two things:
Now, let's generalize this to 3-dimensional space. Imagine the axes for 3-d space. Now let those axes be vectors. Again:
Are you seeing the pattern? Now let's pretend that in 3-d space, you didn't have the z-axis but had a vector from (0,0,0) to (1,1,0). Do the x-axis, y-axis, and the new vector form a basis for 3-dimensional space?
If you answered no, then you'd be correct. Why?
Can you represent the point (0,0,1)? Nope-- the vectors are linearly dependent, so you can't represent all of 3-dimensional space. Therefore the vectors do not form a basis for 3-d space.
Got it yet? I hope so. As a final reminder, the requirements to be a basis for, say, n-dimensional space are:
-Math Lab Blogger
I know how difficult it can be to understand the concept of a basis. Hopefully this will help.
A basis is simply the set containing the fewest necessary vectors possible to represent a space.
If that didn't make any sense at all, then picture a blank x-y axis. Let the two lines (the x-axis and the y-axis) be vectors. You can notice two things:
- These two vectors are all you ever need to represent all of 2-dimensional space
(Think about it-- all you need an x-value and a y-value and you can represent any point) - The two vectors are linearly independent.
(Try and represent the point (0,5) with only the x-axis - kinda hard to do, right?)
Now, let's generalize this to 3-dimensional space. Imagine the axes for 3-d space. Now let those axes be vectors. Again:
- The three vectors are all you ever need to represent all of 3-d space (x,y,z)
- The vectors are linearly independent.
Are you seeing the pattern? Now let's pretend that in 3-d space, you didn't have the z-axis but had a vector from (0,0,0) to (1,1,0). Do the x-axis, y-axis, and the new vector form a basis for 3-dimensional space?
If you answered no, then you'd be correct. Why?
Can you represent the point (0,0,1)? Nope-- the vectors are linearly dependent, so you can't represent all of 3-dimensional space. Therefore the vectors do not form a basis for 3-d space.
Got it yet? I hope so. As a final reminder, the requirements to be a basis for, say, n-dimensional space are:
- You must have n n-dimensional vectors (n vectors with n entries)
- Those vectors must be linearly independent
-Math Lab Blogger
Welcome!
Dear 119 Students:
Welcome to the Math Lab Blog. Feel free to leave us a comment or ask us a question about HW, reviews, or tests. We love you and we wish you the best of luck in your classes!
-Math Lab Blogger
Welcome to the Math Lab Blog. Feel free to leave us a comment or ask us a question about HW, reviews, or tests. We love you and we wish you the best of luck in your classes!
-Math Lab Blogger
Welcome!
Dear 113 Students-
Welcome to the Math Lab's Blog!! Please feel free to leave us comments and ask for help on problems. We'll do our best to answer your questions promptly. We love you and we wish you the best of luck in your classes!
-Math Lab Blogger
Welcome!
Dear 112 Students-
Welcome to the Math Lab's Blog!! Please feel free to leave us comments and ask for help on problems. We'll do our best to answer your questions promptly. We love you and we wish you the best of luck in your classes!
-Math Lab Blogger
Welcome to the Math Lab's Blog!! Please feel free to leave us comments and ask for help on problems. We'll do our best to answer your questions promptly. We love you and we wish you the best of luck in your classes!
-Math Lab Blogger
Thursday, September 23, 2010
Finding Transformation Matrices
Dear 313 and 302 students,
Just as a hint about calculating transformation matrices,
Step 1: Take the transformation of the standard basis vectors.
Step 2: Use the transformed vectors as the columns of the transformation matrix.
Voila! Success!
A sample problem will be posted shortly.
With Love,
-Math Lab Blogger
Just as a hint about calculating transformation matrices,
Step 1: Take the transformation of the standard basis vectors.
Step 2: Use the transformed vectors as the columns of the transformation matrix.
Voila! Success!
A sample problem will be posted shortly.
With Love,
-Math Lab Blogger
Math 110 Test 2 Reviews
Dear 110 Students-
I've lovingly scheduled two Test 2 reviews for you. Please feel free to come to both, as a different test will be covered each night. Here are the details:
Dates: Wednesday, Sept 29th & Thursday, Sept 30th
Time: 7-9 PM (both nights)
Room: 1104 JKB
TAs: TBD
Tests Covered: Test 2 from W 10 (wed) and Test 2 from F 09 (thu)
Link to Test Materials:
http://math.byu.edu/~wright/Math%20110/Math110.html
From this page you can find copies of all exams from previous semesters.
Good luck & see you all there!
-Math Lab Blogger
I've lovingly scheduled two Test 2 reviews for you. Please feel free to come to both, as a different test will be covered each night. Here are the details:
Dates: Wednesday, Sept 29th & Thursday, Sept 30th
Time: 7-9 PM (both nights)
Room: 1104 JKB
TAs: TBD
Tests Covered: Test 2 from W 10 (wed) and Test 2 from F 09 (thu)
Link to Test Materials:
http://math.byu.edu/~wright/Math%20110/Math110.html
From this page you can find copies of all exams from previous semesters.
Good luck & see you all there!
-Math Lab Blogger
Dr. Chow's 314 Exam
The math lab will be hosting a review for Dr. Chow's upcoming 314 exam.
Date: Monday, September 27, 2010
Time: 2pm - 4pm
Place: JKB 2113
Jeshua Mortensen will be teaching the review. He will cover any material Dr. Chow provides as well as problems found in the book.
Come have a blast!
Date: Monday, September 27, 2010
Time: 2pm - 4pm
Place: JKB 2113
Jeshua Mortensen will be teaching the review. He will cover any material Dr. Chow provides as well as problems found in the book.
Come have a blast!
Wednesday, September 22, 2010
Math 334 Review Scheduled
The math lab will be hosting a review for Dr. Mckay's and Dr. Chow's upcoming 334 exam.
Date: Saturday, Sept. 25, 2010
Time: 10am - 12pm
Place: TMCB 116
Richard Black will be teaching this review. The football game won't conflict, don't you worry. It's gonna be sweet!
-Math Lab Blogger
Date: Saturday, Sept. 25, 2010
Time: 10am - 12pm
Place: TMCB 116
Richard Black will be teaching this review. The football game won't conflict, don't you worry. It's gonna be sweet!
-Math Lab Blogger
Review for Dr. Wyckoff's and Dr. Lang's 313 classes
The math lab will be hosting a review for Dr. Wyckoff's and Dr. Lang's upcoming 313 exams.
Date: Thursday, Sept. 23, 2010
Time: 5pm - 7pm
Place: TMCB 108
Austen Gee will be teaching the review. He's covering material provided by Dr. Wyckoff. So, in more mathematical terms... Austen + review + Dr. Wyckoff's material = AWESOME!
-Math Lab Blogger
Date: Thursday, Sept. 23, 2010
Time: 5pm - 7pm
Place: TMCB 108
Austen Gee will be teaching the review. He's covering material provided by Dr. Wyckoff. So, in more mathematical terms... Austen + review + Dr. Wyckoff's material = AWESOME!
-Math Lab Blogger
Dr. Barrett's 313 Exam Review
The math lab will be hosting a review for Dr. Barrett's upcoming 313 exam.
Date: Friday, Sept. 24, 2010
Time: 2pm - 4pm
Place: JKB 2105
The TA teaching this review is yet to be determined. But it's going to be a blast anyways!
-Math Lab Blogger
Date: Friday, Sept. 24, 2010
Time: 2pm - 4pm
Place: JKB 2105
The TA teaching this review is yet to be determined. But it's going to be a blast anyways!
-Math Lab Blogger
302 Review!!!
The math lab will be hosting a review for 302's upcoming exam.
Date: Thursday, Sept. 23, 2010
Time: 5pm - 7pm
Place: TMCB 112
Joshua Fetbrandt will be teaching this review. It's going to be awesome!
-Math Lab Blogger
Date: Thursday, Sept. 23, 2010
Time: 5pm - 7pm
Place: TMCB 112
Joshua Fetbrandt will be teaching this review. It's going to be awesome!
-Math Lab Blogger
Monday, September 20, 2010
Dr. Fearnley's 313 Class - Exam Review
The math lab will be hosting a review for Dr. Fearnley's upcoming 313 exam. Here is the information for the review:
Date: Tuesday, Sept. 21, 2010
Time: 6pm - 8pm
Place: TMCB 108
The TA teaching this review is to be determined. He or she will cover material from the book as well as any other resources that Dr. Fearnley wishes to provide.
Come have an awesome time and prepare for your exam all at once!
-Math Lab Blogger
Date: Tuesday, Sept. 21, 2010
Time: 6pm - 8pm
Place: TMCB 108
The TA teaching this review is to be determined. He or she will cover material from the book as well as any other resources that Dr. Fearnley wishes to provide.
Come have an awesome time and prepare for your exam all at once!
-Math Lab Blogger
Friday, September 17, 2010
Sample First Order Difference Equation Problem
Here's something to help take the edge off of section 2.9
Just click to enlarge!
-Math Lab Blogger
Just click to enlarge!
-Math Lab Blogger
Thursday, September 16, 2010
Math 314-6 Review Scheduled
The math lab will be hosting a review for Dr. Chahal's upcoming 314 exam.
Here is the information for the review.
Date: Saturday, Sept. 18, 2010
Time: 10:00am - 12:00pm
Place: TMCB 135
Richard Black will be teaching this review and will base most of his
material off of assigned homework problems and any other material obtained
from Dr. Chahal.
Hope to see you all there!
-Math Lab Blogger
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