By policy, are you allowed to bring homework to the sessions?
No, please do not bring homework to SI.
(Do not sneak. I will watch anyone if they do.)
It is okay to make mistakes in SI.
True
(The purpose of SI is to make those mistakes and learn from them. But don't repeat those same mistakes!)
Are students allowed to ask the SI leader for solutions?
No
(The purpose of that is for students to be confident in their answers with their peers. This can help them become more confident before quizzes/exams.)
GROUP WORK: Solve the system:
x - 2y = 1
+ 4y = 8
x = 5
y = 2
What are the 3 main row operations when doing Gaussian elimination, or in other words, solving a system of equations by elimination?
1. Permute row i and j.
2. Multiply a non-zero number by row i and add to row j.
3. Multiply row i by a non-zero number.
In terms of tardies, how late can you be until the deduction points come into play?
Around 5-8 minutes
(BUT do not take advantage of it as you may be missing some important information during the opening activities)
It is YOUR responsibility to attend majority of my sessions. In order to earn credit throughout the semester, you would need to be absent for 4 days, or in other words, 8 tardies?
False.
(Unless stated otherwise, if there are any emergencies, please contact the SI leader ASAP!)
If the SI leader is NOT in the room (usually before session starts), are students allowed to be in the SI room at the moment?
No
(If the SI leader is not in the room, students will need to be outside of the room until the SI leader shows up.)
GROUP WORK: Solve the following system:
2x - 4y = 5
x + 3y = 7
x = ?
y = ?
x = 43/10
y = 9/10
Is the following matrix in reduced-row-echelon form?
| 1 -1 2 |
| 0 0 0 |
| 0 0 1 |
No, the matrix is not in reduced-row-echelon form.
(You can permute rows 2 and 3 so that the zero row will be at the bottom. Next step is to multiply -2 from row 2 and add that to row 1 to remove 2 from row 1.)
For enrolled students, by minimum, how many points can you earn in order to get CREDIT for the semester?
54 points
Not only are you able to attend the SI sessions to understand and gain more knowledge, but you can also pass on your knowledge to your peers.
Bonus points (+50): List why it is/isn't the case.
True
(Students from another lecture (and not the supported lecture) are also allowed to enroll and/or attend the SI sessions. As students are unfamiliar with the material, students can learn from their peers who understand the concepts covered.)
List what majors were mentioned in the Ice Breaker Activity that this SI session consists of. (Hint: There are 5)
(1) Chemistry
(2) Civil Engineering
(3) Electrical Engineering
(4) Computer Engineering
(5) Mechanical Engineering
GROUP WORK: Solve the system given the reduced echelon form:
[ 1 -2 3 5 | 8 ]
[ 0 0 0 1 | 4 ]
x1 = -12 + 2a - 3b
x2 = free = a
x3 = free = b
x4 = 4
What are the 3 types of solutions we may encounter when solving the system?
Bonus points (+50): Find an example for each type of solution. What examples can be applicable?
Three types of solutions:
(1) One solution
(2) No solution
(3) Infinitely many solutions
What are the 3 main "policies" students have to follow?
Bonus points (+50): And what do each of the 3 policies mean?
(1) Bring your materials: Students are allowed to bring any resources (i.e. notes, Internet, etc.) before session starts.
(2) Group Work: Students will be working in groups for effective learning!
(3) 3 before me: Ask 3 students in your group before asking the SI leader
Like enrolled students, unenrolled students also allowed to attend the SI sessions. If so, how many unenrolled students can attend the SI sessions (if the max capacity of enrolled students is 20 students)
True, unenrolled students are also welcome to attend!
Depending on the number of seats (i.e enrolled students are absent or free seats), it is "first come, first serve" for unenrolled students!
For an SI session (could be any MATH SI session), what is the maximum capacity of students can the SI leader take?
Bonus points (+50): Hypothetically, why do you think we take said number of students as a max capacity?
20 students
(Each table group consists of 5 seats, where there are 4 tables in total. Beyond 20 students can lead to a hazard.)
GROUP WORK: Given the reduced-row-echelon form, solve the following augmented matrix.
[ 1 -2 0 2 0 1 | 1 ]
[ 0 0 1 5 0 -3 | -1 ]
[ 0 0 0 0 1 6 | 1 ]
[ 0 0 0 0 0 0 | 0 ]
x1 = 1 + 2(x2) - 2(x4) - x6 = 2r - 2x - t + 1
x2 = free = r
x3 = -1 - 5(x4) + 3(x6) = -1 -5s + 3t
x4 = free = s
x5 = 1 - 6(x6) = 1 - 6t
x6 = free = t
(When there is a free variable(s), you can declare the free variable(s) as any letter as long as the solution set is true for all conditions)
Given the augmented matrix, what do you think happens? Is there a solution to the system?
[ 1 2 | -1 ]
[ 0 1 | 9 ]
[ 0 3 | 27 ]
Yes, we can notice that row 3 is a scalar multiple of row 2. So we ignore one of them, usually the last row. Both rows are the same. Therefore, there is a (unique) solution to the system.
Are students allowed to go over quizzes/exams with the SI leader or not? What will be the best time to go over them?
Yes, students can let the SI leader go over their quizzes/exams once everyone has their quizzes/exams graded.
*Not everyone will have the same quizzes/exams.
*This can also help in case there are some mistakes from the professor, but normally there should be solutions provided by your professor.
The SI Leader is allowed to teach the students material they haven't taught.
False
(Sure, sometimes I tend to do this, but normally, us SI leaders are not allowed to teach students how to do things. Students, however, can take the time to "teach" their peers for better understanding)
If students have less points than the expected number of points total (throughout the sessions covered), what is something students can do to make up points?
(1) Exit tickets + Surveys: Students can email the SI Leader to submit exit tickets/surveys a day after requested. +0.5 points will be redeemed!
(2) Take Home Quiz: Students can email the SI Leader to request a take home quiz, mostly based on the sections they mostly struggle in. The take home quiz will consist of 1 problem and a summary on what you learned from the take home quiz. Each quiz is 2 points, which makes up an absence!
(In case students want to earn credit from the workshop but have a very serious situation (i.e. personal situation that prevents you from attending most of my sessions)
GROUP WORK: Solve the following system.
3x - 2y + z = -2
x - y + 3z = 5
-x + y + z = -1
x = ?
y = ?
z = ?
x = -7
y = -9
z = 1
Given the matrix, fine conditions a and b that gives the system to have (a) one solution, (b) no solution, and (c) infinitely many solutions.
ax + y = 1
2x + y = b
(a) one solution: when a != 2
(b) no solution: when a = 2 and b != 1
(c) infinitely many solutions: when a = 2 and b = 1
*Note: != means "does not equal"