Lack of language skills
Tutor Provided/Solicited Contact Info
Student Provided Contact Info
Unfamiliar with basic concepts
Lecture 21. November 3, 2005
Homework. Problem Set 6 Part I: (a) (e); Part II: Problem 1.
Practice Problems. Course Reader: 4E2, 4E5, 4E7, 4F1, 4F6.
1. Parametric equations. To this point in the course, plane curves we
Lecture 16. October 20, 2005
Practice Problems. Course Reader: 3D1, 3D3, 3D7, 3E3, 3E4.
1. Dummy variables. Give a Riemann integrable function f (x) dened on an interval [a, b], the
Lecture 17. October 21, 2005
Homework. Problem Set 5 Part I: (a) and (b); Part II: Problem 1.
Practice Problems. Course Reader: 3F1, 3F2, 3F4, 3F8.
1. Ordinary dierential equations. An ordinary dierential equation is a
Lecture 18. October 25, 2005
Homework. Problem Set 5 Part I: (c).
Practice Problems. Course Reader: 3G1, 3G2, 3G4, 3G5.
1. Approximating Riemann integrals. Often, there is no simpler expression for the antideriva
Lecture 19. October 28, 2005
Homework. Problem Set 5 Part I: (d) and (e); Part II: Problems 2 and 3.
Practice Problems. Course Reader: 4A1, 4A3, 4B1, 4B3, 4B6.
1. Dierentials revisited. In a typical applied integration
1. Calculate H = P*J, this is your current monthly interest
2. Calculate C = M - H, this is your monthly payment minus your
monthly interest, so it is the amount of principal you pay for the
3. Calculate Q = P - C, this is the new balance o
Eight Suggestions for 21-111 Students
In no particular order:
1. Take notes in class. If its written on the board, its worth writing in your
notes. Lectures generally proceed at such a pace that you will not grasp
every detail upon rst hearing
Calculus I 21-111 Skills Assessment Due January 18
Name: Note: This assessment will not in any way affect your grade. 1. Simplify each of the following expressions as much as possible: (a) x(y + z) - z(x + y) + 2y(x - z) - 3(3y - 2z)
Calculus I, 21-111
Spring 2007 MWF 12:30-1:20 DH 1212
Oce Hours: MW, 1:30-2:30, PPB 342 (or by appointment)
Recitation A, TR 2:30-3:20, WEH 5312
Calculus I, 21-111 Review problems for the first test February 13
1. Solve the equation x3 - 6x2 + 4x = 0. 2. Simplify so that your does not involve parentheses or negative exponents: 8x2 y
(xy -2 )-1 3. Consider the functions f (x) = each of the foll
Calculus I, 21-111 Review problems for the second test March 26
1. Sketch the following curves: (a) y = x3 - 3 x2 - 6x 2 (b) y = x4 - 4x3 2. Determine two numbers such that the product of one and the square of the other is 32, and their sum is as small as
Calculus I, 21-111 Course review questions May 2
Announcement: The 21-111 and 21-112 sequence is being restructured. If you are planning to take 21-112, the natural successor to this version of the course will be taught for the last time this summer and n
Lecture 20. November 1, 2005
Practice Problems. Course Reader: 4C2, 4C6, 4D1, 4D4, 4D8.
1. Average values. Given a function f (x) dened on some interval [a, b], what is the average
value of f (x)? A reasonable rst appr
Lecture 22. November 4, 2005
Homework. Problem Set 6 Part I: (f)(h); Part II: Problem 2 (a) and (c).
Practice Problems. Course Reader: 4G1, 4G4, 4G6, 4H1, 4H3.
1. Surface area of a right circular cone. Before attacking
Lecture 23. November 8, 2005
Homework. Problem Set 6 Part I: (i) and (j); Part II: Problem 2.
Practice Problems. Course Reader: 4I1, 4I4, 4I6.
1. Tangent lines to parametric curves. This short section was not explicitl
Special types of questions/methods:
Finding a polynomial with given zeroes (Examples with complex and
Finding nature of roots: Descartes rule of signs
Finding possible rational roots: Rational root theorem
Synthetic division and lon
Change of Status
When a tutor meets the time requirement for a status change, the mentor will be
reviewing student ratings and session quality, and will notify their Senior Mentor if
all other criteria as noted below have been met. If in agreement, the Se
What is Student Engagement?
Student engagement, also known as active learning, is essential for successful tutoring
sessions. Engagement involves a variety of factors.
1. Relevance. The more tutors can do to provide real world applications for each
Demonstrates content knowledge in sessions conducted:
Provides clear explanations:
Avoids doing too much work for the student:
Ensures student understanding:
Demonstrates content knowledge in sessions conducted:
Creates interactive learning experience wit
Types of sessions:
LHH: Live homework help
IAH: Individual account holder
Identification (LHH v/s IAH):
Identification of a session is necessary because based upon the type of session
(Limited LHH, Unlimited LHH or IAH), tutor is suppose
Internal Assessment Process
Assessments have to be done for all the tutors
Minimum number of assessments per tutor would be as below:
PO Algebra = 15 / week
PO Other Subjects = 10 / week
T1 Algebra = 8 / week
T1 Other Subjects = 4 / week
T2/T3 = 2 / week
Do the following problems without a calculator:
Problem : 86 + 92 - 86 = ?
Problem : 68/12(8 + 4) = ?
Problem : 17 - (196)/6 + (7 + 19 - 7) = ?
Find the number that fits into the question mark.
Problem : 82 - 19
Lecture 25. November 17, 2005
Homework. Problem Set 7 Part I: (a)(e)
Practice Problems. Course Reader: 5D2, 5D6, 5D7, 5D10, 5D14
1. Inverse hyperbolic functions. There are a few other useful formulas for hyperbolic fun
Lecture 24. November 15, 2005
Practice Problems. Course Reader: 5A1, 5A2, 5A3, 5A5, 5A6.
1. Inverse functions. Let a, b, s and t be constants. Let y = f (x) be a function dened on the
a x b,
and whose values
Calculus I, 21-111 Review problems for the third test April 25
1. Solve each of the following equations for x: (a) e3x e-x
(b) ln(3x + 6) = 4 (c) ln(2)e-.3x = 1 2. Differentiate each of the following: (a) y = x2 ln(x) . (b) y = (2x3 + 4x)e4x . (c)