AMS410.01 Actuarial Mathematics, Fall 2009

Syllabus                  Schedule                       Homework                  Exam

 Syllabus

Course website: http://www.ams.sunysb.edu/~nsun/Teaching/ams410_fall2009.html

Class Time & Location: TuTh 6:50PM-8:10PMMelville Lbr E4315

Instructor: Ning Sun   nsun@ams.sunysb.edu

Office Hour: Tu 4:30PM-6:30PM @ Math Tower B-148 (7)

Direction to my office (My room is difficult to find...): Enter the math tower, take the elevator to Floor 2, make a right, you will see red stairs. Go upstairs, make a left, you will see Room B-148. Enter the door and take a right. I'm in room #7 of B-148. 

Grader: Shitao ZHANG   lulala-z@hotmail.com

Office Hour Th 5:00PM-6:30PM @  Harriman Help Room 010         

TextbookACTEX Study Manual SOA Exam P - CAS Exam 1. 2007 Edition. Samuel. A. Broverman, Ph.D., ASA

ReferenceA First Course in Probability by Sheldon Ross  

Prerequisites: Mainly targeted at students who have knowledge of Calculus and have already taken AMS 311.

 Course outline: This course is a preparation SOA Exam P/CAS Exam 1. You can take it for 3 credits, or just sit in.

 
Policies: 

  1. Homework will be due at the beginning of class (by 7:00PM). No late homework will be accepted.
  2. The lowest homework grade will be dropped.
  3. All grades will be posted on Blackboard. Make sure you can be reached via the email address on Blackboard.
  4. Exams will be given in the regular classroom.  Don't be late.
  5. Exams are closed notes and book. You need to prepare your own calculator. 
  6. The lowest in-class exam grade will be dropped.


Grading: You can get an A if you pass the SOA Exam P/CAS Exam 1. Otherwise:

Homework (5 or 6 homeworks, 25%)
Midterm I (MC)-- Sep 24, in class
Midterm II (MC) -- Oct 22 or 27, in class
November Diagnostic (MC) -- Nov 19, in class
The highest two in-class exams ->45%
Final (MC, 30%) -- Dec 18, 2:15 - 4:45PM

Disability Policy: If you have a physical, psychological, medical or learning disability that may impact your course work, please contact Disability Support Services, ECC (Educational Communications Center) Building, room 128, (631) 632-6748. They will determine with you what accommodations are necessary and appropriate. All information and documentation is confidential. Students who require assistance during emergency evacuation are encouraged to discuss their needs with their professors and Disability Support Services. For procedures and information, go to the following web site: http://www.sunysb.edu/ehs/fire/disabilities.shtml


Schedule
1st week (Sep 1 - Sep 3)
Sep 1 - Introduction
Sep 3 - General Probability I: Basic Definitions and Rules
Exercise 1

2nd week (Sep 8 - Sep 10)
Sep 8 - General Probability I: Basic Definitions and Rules (cont'd)
Sep 3 - General Probability II: Conditional Probability and Independence
Exercise 2

3rd week (Sep 15 - Sep 17)
Sep 15 - General Probability II: Conditional Probability and Independence (cont'd)
Sep 17 - General Probability III: Combinatorial Principles, Permutation & Combination
Exercise 3

4th week (Sep 22 - Sep 24)
Sep 22 - General Probability  Review
Sep 24 - Exam 1

5th week (Oct 1)
Oct 1 -  Review of Differentiation and Integration

6th week (Oct 6 - Oct 8)
Oct 6 -  Univariate  Distribution: Discrete distributions
Exercise 4
Oct 8 -  Three Specific discrete distributions 

7th week (Oct 13 - Oct 15)
Oct 13 -  Univariate  Distribution: Continuous distributions
Exercise 5
Lecture notes for part II (updated on Oct 13)
Oct 20 -  Three Specific Continuous distributions 

8th week (Oct 20 - Oct 22)
Oct 20 -  Some other questions
Exercise 6
Oct 22 -   Review before the second exam


9th week (Oct 27 - Oct 29)
Oct 27 -  Exam 2

Oct 29 -  Review of Double  Integral

10th week (Nov 3 - Nov 5)
Nov 3 -  Joint  Distribution: Discrete Case

Nov 5 -  Joint  Distribution: Continuous Case

11th week (Nov 10 - Nov 12)

I got my exam P score this Monday...10!!!

Nov 10 -  Joint  Distribution: Continuous Case 
Lecture notes for part III (updated)
Exercise 7
Nov 12 -  Joint  Distribution: Transformation


12th week (Nov 17 - Nov 19)
Nov 17 -   Joint  Distribution: Transformation
Exercise 8
Nov 19 -  Exam 3

13th week (Nov 24 - Nov 26)
Nov 24 -  Normal Distribution and Normal Approximation
This is mainly for those who will take the exam P in November but need help with the normal approximation (or something else). You can skip it if you don't take the exam P and want to go home for Thanksgiving. I will review those stuffs later in December.
Nov 26 - Thanksgiving!!


Homework

Solution:
HW1 solution
HW2 solution
HW3 solution
HW4 solution

HW4 (due on Tuesday, Nov 17)  covering joint distributions
HW4   typo corrected on Nov 10


HW3
(due on Tuesday, Oct 20)  covering continuous distributions
HW3


HW2 (due on Tuesday, Oct 13)  covering integral calculations and discrete distributions
HW2


HW1 (due on Thursday, Sep 17)  covering Basic definitions, Conditional Probability and Independence, Bayes' Rule
HW1




Exam


Exam 3 (Thursday, Nov 19, 6:50 - 8:00 pm) covering Joint Distributions  (discrete, continuous, transformation)

             in class, regular classroom
             closed notes and book
             Bring your own calculator!!

             Exam3 (Version 1)
             Solution to Exam3
   


Exam 2 (Tuesday, Oct 27, 6:50 - 8:00 pm) covering Univariate Distribution  (general discrete, 3 specific discrete, general continuous, 3 specific continuous, some other topics)

             in class, regular classroom
             closed notes and book
             Bring your own calculator!!

             Exam2 (Version 1)
             Solution to Exam2
   

             Summary ( Nov 3): # took exam - 41/48, highest - 94, lowest - 20, mean - 60, median - 57,  standard deviation - 23.4

             The stem and leaf plot:

  The decimal point is 1 digit(s) to the right of the |
  2 | 019
  3 | 02466789
  4 | 24456689
  5 | 677
  6 | 456
  7 | 5579
  8 | 03358
  9 | 0002344


Exam 1 (Sep 24)           

             Exam1 (Version 1)
             Solution to Exam1
   

             Summary (Oct 1): # took exam - 46/48, highest - 100 (2 of 46), lowest - 27, mean - 65.6, median - 66,  standard deviation - 20.9
             
             The stem and leaf plot:

  The decimal point is 1 digit(s) to the right of the |
   2 | 7
   3 | 355
   4 | 001355777
   5 | 2355677
   6 | 13668
   7 | 00234478
   8 | 0289
   9 | 0334557
  10 | 00



updated by Ning SUN on Nov 19, 2009