Jay Pantone

John Wesley Young Research Instructor
Dartmouth College

jaypantone@dartmouth.edu


Math 20

Summer 2017

Our capacity to fathom the world around us hinges on our ability to understand quantities which are inherently unpredictable. Therefore, in order to gain more accurate mathematical models of the natural world we must incorporate probability into the mix. This course will serve as an introduction to the foundations of probability theory. Topics covered will include some of the following: discrete and continuous random variables, random vectors, multivariate distributions, expectations; independence, conditioning, conditional distributions and expectations; strong law of large numbers and the central limit theorem; random walks and Markov chains. There is an honors version of this course: see MATH 60.

  • Lectures:
    M, W, F, 11:30am - 12:35pm
    Kemeny 105 Tu, 12:15pm - 1:05pm (X-hour)
  • Office Hours:
    Monday, 4:00pm - 5:00pm
    Kemeny 320 Tuesday, 3:00pm - 4:00pm
    Thursday, 10:00am - 11:00am

Course Information

The official syllabus is here.

 
Homework Assignments

Announcements

Daily Calendar
# Date Topics Suggested HW
& Announcements
1 Fri, June 23 Class Information
What is probability?
Intro to counting
R: # 1.1, 1.2, 1.4
2 Sat, June 24 Counting combinations
R: # 1.7,
GS: # 3.1.3, 3.1.6, 3.1.7, 3.1.10
3 Mon, June 26 Binomial Coefficients
Events and Outcomes
R: # 2.2, 2.3, 2.5
GS: # 3.2.2, 3.2.10, 1.2.2, 1.2.4
4 Wed, June 28 Probability Laws
Conditional Probability
R: # 2.8, 2.13, 3.3
GS: # 4.1.3
5 Fri, June 30 Independence
Bayes' Theorem
Probabilistic Paradoxes
R: # 3.8, 3.12, 3.14
GS: # 4.1.22

Syllabus

The official syllabus is here.

 
Homework Assignments

Weekly graded homework assignments, posted above. Daily suggested homework from the textbook, not graded.

TENTATIVE Exam Dates
Exam 1: Friday, July 14
Exam 2: Friday, August 4
Final Exam: Sunday, August 27, 8:00am - 11:00am

Textbooks
Grading Scheme
Homework: 25%
Labs: 10%
Exam 1: 20%
Exam 2: 20%
Final Exam: 25%

Important Dates
June 22: Classes begin
June 24: Special Saturday day of classes
July 4: Independence Day, no classes
July 6: Final day for electing use of the Non-Recording Option (NRO)
August 2: Final day for dropping a fourth course without a grade notation of "W"
August 9: Final day to withdraw from a course
August 23: Last day of classes
August 27: Math 20 final exam