AP STATS
Small Project
HELPING YEARBOOK
By: Group 7
Dianne Do
Jennifer Huang
Joshua Kasanjian
Rachel Li
Period 5
1. Design a survey (questions + logistics)
JUNIORS ONLY
a. Would you prefer to publish your formal senior portraits in a gown (costs $60 to si
Balls in bins
One throws m balls into n > m bins.
Balls in bins
One throws m balls into n > m bins.
Theorem:
2
Pr [no collision] expcfw_ m
2n , for large enough n.
Balls in bins
Theorem:
2
Pr [no collision] expcfw_ m
2n , for large enough n.
Balls in bins
Math 53, Homework 5, due
Thursday 09/29
At the end of lecture Sept. 19, we had finished chapter 13, 14.1, and
were talking about 14.2. This weeks lectures will finish 14.2, and cover
14.314.5.
By the way, our room change also applies to the midterms: they
Actuarial Exam 1/P Preparatory DeCal
Worksheet 1: Basic Probability Laws, Conditional Probability
Reading: Finan Chapter 1-2, 6-12
September 7th, 2016
UC Berkeleys Premier Resource
for Aspiring Actuaries
Basic Probability Laws
Let A, B, and C be events.
Math 53, Homework 2, due Thurs.
09/08
By the end of lecture on Aug. 29, we should have covered sections 10.1
10.4. By the end of lecture on Sept. 2, we should have covered 12.112.3. By
the end of lecture Sept. 12, we will have covered the rest of chapter
Actuarial Exam 1/P Preparatory DeCal
Worksheet 1: Basic Probability Laws, Conditional Probability
Reading: Finan Chapter 1-2, 6-12
Chinese New Years Day, 2016
UC Berkeleys Premier Resource
for Aspiring Actuaries
Problem Set
1. An insurance company estimat
Math 53, Fall 2016
Text. James Stewart,Multivariable Calculus, early transcendentals UC Berkeley, 8th edition, ISBN number 978-1-305-75645-8.
Instructor.
John R. Steel, 717 Evans Hall.
Office Hours.
Mon., Wed. 12:30pm.
Class meeting times. MWF 11:0012:00,
Actuarial Exam 1/P Preparatory DeCal
Worksheet 0: Prerequisite Quiz
Reading: None
September 7th, 2016
UC Berkeleys Premier Resource
for Aspiring Actuaries
Prerequisite Quiz
Show your work for every problem. Do not skip any steps. An answer without suffici
Math 53, Homework 3, due Friday
09/14
At the end of lecture on Sept. 7, we will have covered most of 12.112.4.
By the end of lecture on Sept. 12, we should have covered the rest of chapter
12, and perhaps 13.1 and 13.2.
We are going to omit the rest of ch
Math 53, Homework 6, due
Thursday 10/06
At the end of lecture Sept. 23, we had reached the middle of 14.5. This
weeks lectures will cover 14.5 14.7, and perhaps 14.8.
The first midterm will be Wed. Oct. 5. It will cover the material through
chapter 14. I
Math 53, Homework 1, due
Thursday Sept. 1
Lectures on 8/24, 8/26, and 8/29 will cover 10.110.4. You should also
read 10.5. (10.5 should be a review of material you know, and I have not
assigned any homework on it.) We will omit 10.6.
Homework to hand in:
Math 53, Homework 4, due
Thursday 09/22
Please remember that henceforth, the lectures are in 2050 Valley Life
Sciences Building.
At the end of lecture Sept. 9, we had covered section 12.5. This coming
weeks lectures will cover 12.6, 13.1, 13.2, the additi
Math 1B, Exam #4
1. Find 2 linearly independent solutions to the differential equation.
! + ! = 0
2. A vat has a volume of 100 liters. It initially contains 50 liters of pure water. Brine
with a concentra
Math 53 Homework 13
Due Friday 4/29/16 in section
(The problems in parentheses are for extra practice and optional. Only turn in the
underlined problems.)
Monday 4/18: The divergence theorem (continued)
Read: section 16.9.
Work: 16.9: 17, 19, 27, (29).
Math 53 Homework 13 Solutions
16.9 # 17: Let S1 be the disk x2 + y 2 1 in the xy-plane, oriented downwards. Its normal
so F~ n
= (x2 z + y 2 ) = y 2 (since z = 0 on S1 ). Hence
vector is n
= k,
= F~ k
RR
RR
R 2 R 1
2
2
~ dS =
0 (r sin ) r dr d.
S1 F n
Math 53 Homework 5
Due Wednesday 2/24/16 in section
(The problems in parentheses are for extra practice and optional. Only turn in the
underlined problems.)
Wednesday 2/17 Tangent plane, linear approximation
Read: section 14.4 .
Please dont mix dierenti
Math 53 Homework 11
Due Wednesday 4/13/16 in section
(The problems in parentheses are for extra practice and optional. Only turn in the
underlined problems.)
Monday 4/4: Gradient fields, fundamental theorem for line integrals
Read: section 16.3.
Work: 1
Math 53 Homework 12 Solutions
16.6 # 13: The parametric equations for the surface are: x = u cos v, y = u sin v, z = v.
We look at the grid lines (the curves obtained by xing one of u and v and varying the other).
If we keep v constant and vary u, then x
GLOSSARY of Medical Insurance Terminology
Annual Deductible is the amount you must pay each year for medical and
mental health expenses before your medical plan begins to pay benefits. For
example, if your health plan has a $300 Annual Deductible, you wi
Math 53 Homework 10
Due Wednesday 4/6/16 in section
(The problems in parentheses are for extra practice and optional. Only turn in the
underlined problems.)
Monday 3/28: Triple integrals in spherical coordinates
Read: section 15.8. [7th edition: 15.9.]
Math 53 Homework 12
Due Wednesday 4/20/16 in section
(The problems in parentheses are for extra practice and optional. Only turn in the
underlined problems.)
Work: Problem 5 of HW 11 (postponed to this assignment)
Monday 4/11: Surface area
Read: section
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Math 1A, Exam #2
1. A ladder 10ft. long leans against a vertical wall. If the bottom of the
ladder slides away from the base of the wall at a speed of 2ft. per
second, how fast is the angle between the ladder and the wall changing
when the bottom of the l
Math 1A, Exam #1.
1.
Find
(a)
(1 + ! )
(b).
!
(tan! ()!
!
1
+
!
2. Prove that
!
(sin( ! ) + cos( ! ) 2 .
!
3. Find the equation for the line through the point (2,4) ! that cut
off the least area from the first quadrant.
4. Rotate = 2 around the x-axis and
University of California, Berkeley, Department of Physics
Physics 7B, Lecture 2,3: Course Information Sheet, Fall 2016
Lecture 2,3 Instructor
Lecture Info
Instructor Office Hours
Alessandra Lanzara
Tue/Thu, 1 LeConte
Mon, 1:00PM 2:00PM
Office: 321 Birge
L
Math 1B, Exam #1
1. Express as a definite integral the length of the curve
= sin , 0 /2.
2 !
(1b) Decide whether
(1)
5811
converges
=1
3+2
absolutely, converges conditionally, or diverges.
2. Find
!
(0) if = sec( ! ).
(2b ) A tank contains 500 L of p
Math 1A, Exam #4
1. State (without proof) the Squeeze Rule that gives a condition for
lim! = for a certain function g defined near a.
(b) Evaluate the following limit, if it exists. Be sure to justify
your answer.
lim sin(1 )
!
(c) Use lHpitals rule to e