Lectures schedule (L01)

Tutorials schedule (T01)

Monday/Wednesday/Friday
15:0015:50 (ST
127)

None 
Midterm and Quizzes:
There will be 1 Midterm (October 30 Monday, 15:00am, ENE
328) and 2 Quizzes (Mondays, October 2 and November 27,
15:00am, ENE 328).
Final Exam:
It will cover all the materials covered in this
course.
Grading scheme (Course Evaluation):
Exam, Midterm, Quizzes and
Homework Assignments

Value (% of your final mark)

Dates

Midterm

30%

Oct 30, 2017, Monday, 15:00, ST 127 
Quizzes (2)

20%=2x10%

Oct 2 & Nov 27, Monday, 15:00, ST 127 
Final Exam  50%  Monday,
December 18, 3:305:30pm, RoomST 127 
Homework Assignments 
Not for Credit but for your
practice 
Month 
Day 
Monday 
Day 
Wednesday 
Day 
Friday 

Sep 
11 
Lec1: Intro to Probability Theory (Complimentary Notes: Basics in Probability) 
13 
Lec2:
Stochastic Processes (2.9) 
15 
Lec3:
Markov Chains (MC): Introduction (4.1) 

Sep 
18 
Lec4: MC: ChapmanKolmogorov Equations (4.2)  20 
Lec5: MC: Classification of States (4.3): Accessible States, Classes, Irreducible MC  22 
Lec6: MC: Classification of States (4.3): Recurrent and Transient States; Random Walk  
Sep 
25 
Lec7: MC: Limiting Probabilities (4.4)  27 
Lec8: MC: Limiting Probabilities. ExampleInsurance Claim (4.4) (cont'd Lec7)  29 
Lec9: MC: Some Applications (4.5)  
Oct 
2 
Quiz#1 (based
on Lectures 19) 
4 
Lec10: MC: Mean Time Spent in Transient States (4.6)  6 
Lec11: Exponential distribution (5.2.1)  
Oct 
9 
Thanksgiving Day
(No Lecture) 
11 
Lec12: Poisson Process (PP): Counting Process ( 5.3.1) and Definition of PP (5.3.2)  13 
Lec13: PP: Waiting Time Distribution (5.3.3)  
Oct 
16 
Lec14: PP: Further Properties (5.3.4)  18 
Lec15: PP: Conditional Distribution of Arrival Times (5.3.5)  20 
Lec16: PP: Sampling of PP (5.3.5)  
Oct 
23 
Lec17: PP: Generalizations (5.4.1)  25 
Lec18: PP: Compound PP (5.4.2)  27 
Lec19: PP: Mixed PP (5.4.3)  
OctNov 
30 
MIDTERM
(based on Lectures 118) 
1 
Lec20: Continuoustime Markov Chains (CTMC): Intro (6.16.2)  3 
Lec21: CTMC: Birth& Death Processes (6.3) and Transition Probability Function (6.4)  
Nov 
6 
Lec22: CTMC: ChapmanKolmogorov Equations (6.4)  8 
Lec23: :
CTMC: Limiting Probabilities (6.5) 
10 
November
1013: Reading Day (No Lecture) 

Nov 
13 
15 
Lec24: CTMC: Computing the Transition Probabilities (6.8)  17 
Lec25: Renewal Theory: Intro (7.1), Renewal
Process, Properties. 

Nov 
20 
Lec26: Renewal Theory: Some Distributions
(7.2), Renewal Equation. Limit Theorems (Optional)(7.3) 
22 
Lec27: Brownian Motion (BM) (10.1); Variations and Martingales Properties (10.3)  24 
Lec28: BM: Pricing Stock Options and BlackScholes Formula (10.4.110.4.2)  
NovDec 
27 
Quiz#2 (based on Lectures
2028) 
29 
Lec29: BM: BlackScholes Formula's Derivation  1 
Lec30: BM: BlackScholes Formula's Interpretation  
Dec 
4 
Lec31: Stationary Processes (10.7)  6 
Lec32: Simulation Methods
(11.211.3) Table of Random Digits 
8 
Lec33:
Course Review. 
Final Exam: Monday, December 18, 3:30pm5:30pm, ST 127 Office Hours Before the Final: MT: 1pm2pm * Your Final Marks are Here: * Marks: 2 Quizzes + Midterm+FinalExam=FinalGrade * Formula Sheet for Stat 507 Exams (Q#2+Final) * PERMANENT ROOM CHANGE for Classes Starting Wednesday, September 13th: ST 127 * Please, use your @ucalgary.ca email to communicate with your instructor 
Homework Assignments Solutions to Chapters_2_10 Laplace Table TableNormalDistribution TableExponentialFunction 