49. Bachelor Express v. CA, supra GR No. 85691 (188 SCRA 216); July 31, 1990; 3
rd
Division- Gutierrez, Jr., J.II.
COMMON CARRIERS
C. Common Carriage of Passengers; (7) Responsibility for acts of strangers and co-passengers
Common Carrier/Petitioner: Bach
Math 123, Week 3:
Determinants
Section 1: Determinants
We have seen that the condition for invertibility of a 2 2 matrix
a b
A=
c d
was adbc 6= 0. By analogy with the real numbers, the condition adbc 6= 0
is enough to make sure that we do not divide by ze
Math 123, Week 2:
Matrix Operations, Inverses
Section 1: Matrices
We have introduced ourselves to the grid-like coefficient matrix when performing Gaussian elimination. We now formally define general matrices
and several useful matrix operations, such as
Name: ID 7%:
TEST 2: Math123 - Differential Equations 84: Linear Algebra Yahdi - Fall 2015
To receive credit for your answers you must Show your work, and include all necessary steps. Please make
a serious effort on the quality of presentation of yo
Sol ub on
A
A
Math 123 Goldston Sample Midterm #1
Solve for y (100 points, 10 points each)
1
1 ( .3 v ; )(+c, , +c
_ _ ,. r La = dx L, l
1-031 Q 31(1) 1 2M2 gm J 1 a z , , 2/Z
2L :7 c -
Jx -
You (OJlA 9:959 60+ (kl 1c ber; A I
2. II 2 ) 0. 5g CD YZ)
Math 123, Week 4:
Vector Spaces and Spanning Sets
Section 1: Vector Spaces
In order to take a step forward in our understanding of vector and matrix
operations, we will have to first take a step backwardor rather, sideways.
We will briefly remove ourselve
Math 123, Week 5:
Linear Independence, Basis, and Matrix
Spaces
Section 1: Linear Independence
Recall that every row on the left-hand side of the coefficient matrix of a linear
system Ax = b which could be obtained by elementary row operations could
be wr
50. Cangco v. MRR, supra
GR No. 12191 (38 Phil 768); October 14, 1918; Fisher, J
II. COMMON CARRIERS
C. Common Carriage of Passengers; (8) Duty of Passengers; effect of Contributory Negligence
Common Carrier: Manila Railroad Co.
Passenger: Jose Cangco
Jo
53. Villa Rey Transit v. CA
GR No. L-25499 (31 SCRA 510); February 18, 1970;En Banc- Concepcion, C.J., II.
COMMON CARRIERS
D. Damages Recoverable from Common Carriers; (2) Actual or Compensatory
Claim: a complaint was filed against the operator of the bus
51. Cariaga v. LTB Co. & MRR GR No. L-11037 (110 Phil 346); December 29, 1960; En Banc- Dizon J.II. COMMON CARRIERS
D. Damages Recoverable from Common Carriers; (2) Actual or Compensatory
Summarized Facts: this is an action filed by Edgardo Carriaga for t
52. Pan American World Airways, Inc. v IAC GR No. L-70462 (164 SCRA 268); August 11, 1988; 3
rd
Division- Cortes, J.II.
COMMON CARRIERS
D. Damages Recoverable from Common Carriers; (2) Actual or Compensatory
upon payment by Pangan of the regular fare. The
48. Pilapil v. CA
GR No. 52159 (180 SCRA 546); December 22, 989; 2 nd Division- Padilla, J.II.
COMMON CARRIERS
C. Common Carriage of Passengers; (7) Responsibility for Strangers and Co-Passengers
Jose Pilapil, a paying passenger, boarded Alatco Transport
47. Maranan v. Perez
GR No. L-22272 (20 SCRA 412); June 26, 1967; Bengzon, J.P., J.
II. COMMON CARRIERS
C. Common Carriage of Passengers; (6) Responsibility for Acts of Employees
Rogelio Corachea, on 18 October 1960, was a passenger in a taxicab
owned and
54. Philippine Airlines v. CA
GR No. 54470 (185 SCRA 110); May 8, 1990; 1st Division- Grino-Aquino, J.II.
COMMON CARRIERS
D. Damages Recoverable from Common Carriers; (2) Actual or Compensatory
On 23 October 1988, Leovigildo A. Pantejo, then City Fiscal
Open Policy
Development Insurance v IAC G.R. No. 71360
July 16, 1986
J. Cruz
Facts:
A fire occurred in the building of Philippine Union. It sued for recovery of damages from the petitioner
on the basis of an insurance contract between them. The petitioner
No
.
1
Case Title
GR No.
Date
GUINOO
October 15, 2014
CRUZ
3
Fortune Life Insurance v. COA
17566
6
18327
2
21352
5
July 29, 2013
2
Manila Bankers Life Insurance Corp.
v. Aban
Sun Life of Canada v. Kit
January 27, 2015
ELERIA
4
Insular Life v. Khu
April 18
ID #:
TEST 1: Math123 - Differential Equations & Linear Algebra ~ Yahdi - Fall 2015
To receive credit for your answers you must show your work, and include all necessary steps. Please make
a. serious effort on the quality of presentation of your
Dierential Equations & Linear Algebra - Fall 2015 - Yahdi
Math123- Quiz 2- Solution
Problem 1. Determine whether the given function y = 3 cos(2t) is a solution of the initial value problem
y 00 + 4y = 0 with y(0) = 3.
Proof.
y = 3 cos(2t) ) y 0 = 6 sin(2t
Math 133A
Midterm #1
D. Goldston
NAME
Problem
Points
1
10
2
10
3
10
4
10
5
10
6
10
7
10
8
10
9
10
Total
90
Score
March 4, 2015
Show all work. You MUST show the steps you used to solve the problem.
dy
1. Solve
=
dx
(10 points)
p
1 y2
x
2. Solve x2 y 0 + 2x
Math 123
Midterm #1
D. Goldston
March 2, 2011
NAME
Problem
Points
1
10
2
10
3
10
4
10
5
10
6
10
7
10
8
10
9
10
10
10
Total
100
Score
Show all work. You MUST show steps you used in solving to get credit.
1. Solve y 0 = 5y + 1
(10 points)
2. Solve y 0 = 5y
Fall 2016 Math 123 Goldston(Section dates approximate.Tests fixed)
Monday
22
29
No Class
5- Labor Day
Campus Closed
Tuesday
Wed
23
24
30
31
6 Last Day to Drop
with W
13 Last Day to
Add
7
14
Thursday
Friday
25
26
1 - September
2
1.3, 1.4
8
9
1.5, 1.6
2.2
1
MIDTERM EXAM 1 SOLUTIONS
Directions and rules. The exam will last 70 minutes; the last ve minutes
of class will be used for collecting the exams. No electronic devices of any
kind will be allowed, with one exception: a music player that nobody else
can he
MIDTERM EXAM 2
Each of the numbered questions is worth one point. Correct answer earns
the point. Check your work carefully.
1. Consider the dierential equation y = y y 2 .
Solution: This is Example 1, page 116
(a) What are the equilibrium solutions?
y =