University Of California, Irvine School Of Law
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Final Exam 
Last Name: 
First Name: 
Student ID: 
Signature: 
Instructions: Do not open this exam until instructed to do so. You will have three hours 
to complete the exam. Please print your name and student ID number above. You may not 
use books, notes, or any other material to help you. You will need a calculator for some 
problems. Please make sure your phone is silenced and stowed where you cannot see it. 
You may use any available space on the exam for scratch work. If you need more scrat...
LS 30A: MATHEMATICS FOR LIFE SCIENTISTS 
FALL - LECTURE 1 
Jukka Keranen 
FINAL EXAMINATION SOLUTIONS 
Your Name 
Your Student ID number 
Your TA Section 
By signing below, you confirm that you did not cheat on this exam. No exam booklet without a signature will be graded. 
INSTRUCTIONS 
• Please do not open this booklet until you are told to do so. 
• In addition to basic writing instruments, you are allowed to use a non-programmable calculator. 
• Your cell phone must be turned off compl...
LS 30A: MATHEMATICS FOR LIFE SCIENTISTS 
FALL – LECTURE 2 
STUDY GUIDE FOR THE FINAL EXAM 
IN SHORT You need to know all the material that was covered in the lectures and also all the 
material from the textbook that corresponds to what was covered in the lectures, with a small number 
of exceptions that will be indicated below. 
The Further Exercises from your homework are the best indication of what to expect. 
You will need a basic, non-programmable calculator on this exam. 
The following i...
Final Exam 
Last Name: 
First Name: 
Student ID: 
Signature: 
Instructions: Do not open this exam until instructed to do so. You will have three hours 
to complete the exam. Please print your name and student ID number above. You may not 
use books, notes, or any other material to help you. You may use a four-function or scientific 
calculator but not a graphing or programmable one. Please make sure your phone is your 
phone is silenced and stowed where you cannot see it. You may use any availab...
Lab Quiz LS30A F19 
1. The simulation script below simulates the model for the spring with friction, with state variables X and 
V. In the table below explain what each line of code does. The lines are numbered for your convenience. 
The explanation for the first line is given as an example. 
1 t = srange(0,100,0.1) 
2 var('X,V') 
3 sol= desolve_odeint([V,-X - 0.1*V],ics=[100,20],dvars=[X,V],times=t) 
4 list_plot(zip(t,sol), color='red', plotjoined = True) 
Line Your Explanation 
1 creates a...
A−¿ 
¿ 
¿ 
¿ 
 (base/acid) HA=acid OH- 
=base A 
- 
=conjugate base H2O=conjugate acid 
Initial pH: Soltn. Acetic acid made by dissolving 5.00x10-3 mol acetic acid (HA) in 100.00mL water. Then titrated with strong base (NaOH) conc. 0.250M (Ka = 1.8x10-5) 
 HA + H2O H3O 
+ 
 + AKa = 
(x )(x) 
0.05−x 
 ASSUME X<<0.005 1.8x10-5 = 
(x)(x ) 
0.05 solve 
I 0.05M ~ 0 0 x = 3.0x10-4 CHECK ASSUMPTION 
(3.0 x10−4 
) 
0 .005 
∗100 = 6% (doesn’t work, plug into quadratic, 
watch ...
Lab #5 Feedback Stabilization: Stick Balancing 
This lab is based upon the problems in Section 11.1, "Feedback Stabilization: Stick Balancing," in the course 
text Computer Explorations in SIGNALS AND SYSTEMS by Buck, Daniel, Singer. 
This exercise considers the problem of stabiiizing the unstable system that governs the balancing of an 
object like a stick in your hand. 
Fig. 1 
Consider the systems shown in Fig. 1. The cart, whose position is given by , can move forward or 
backward. The acc...
ESS 17- Discussion 7 Crook 
NAME: Jamie Bao Tran Vuong Student ID: 
Discussion 7- The 3-Cell Model of Earth 
The 3-cell conceptual model is a remarkably simple model which explains most of the major features of our 
atmospheric circulation, surface ocean circulation and even vegetation patterns. This week you will have a chance 
to think through how the 3-cell conceptual model relates to the real world. 
1. On the map on the next page draw and label the 3 cells in both hemispheres. Why does air...
Great Property Law outline that is combined with the class notes.
ce 
Total Time 
1 hour and 30 minutes 
Number of Questions 
58 
Percent of Total Score 
50% 
Writing Instrument 
Pencil required 
Electronic Device 
Calculator allowed 
Instructions 
Section I of this exam contains 53 multiple choice questions and 5 grid in questions 
Indicate all of your answers to the Section I questions on the answer sheet No credit will 
be given for anything written in this exam booklet but you may use the booklet for notes 
or scratch work 
For questions 1 through 53 after...