The first part of this course lays down the mathematical
foundation for the study of
Probability Theory and Statistics. Functions, Combinatorial Mathematics,
Differentiation and Integration fundamentals are covered. The second
part of the course concentrates on the study of Discrete and Continuous
Distributions and Linear Regression
Prerequisites
High School Algebra
Learning Objectives
By the end of this course the student will have
learned:
Composition of functions and inverse functions, limits, differentiating
and integrating techniques, continuous functions, asymptotes and
graphing techniques, permutations and combinations, the classical
and statistical definitions of probability, conditional probability,
random variables, binomial and Poisson distributions, the mathematical
expectation and the variance of a random variable, the strong law
of large numbers, discrete and continuous distribution functions,
normal distribution, the central limit theorem and linear regression
Textbook:
Required book: TBA
Recommended books:
1. Schaum’s Easy Outlines Calculus
F. Ayres & E. Mendelson, McGraw Hill, ISBN 0-07-052710-5
2. Schaum’s Outlines: Probability and Staistics, M. Spiegel,
J. Schiller, R.Srinivasan
McGraw Hill, ISBN 0-07-135004-7
3. Hartcourt College Outline Series. Statistics, I: Descriptive
Statistics and Probability
E.Tanis, 0-15-601616-8
Evaluation and Grading
Lecture material should be reviewed before the next class since any questions on old material will be addressed only at the beginning of class. The reading assignments in the textbook should be done before the material is covered in lecture, and then reviewed afterwards. All assignments must be legible, on time and complete.
Homework assignments will be made in class and will be due the following class.
There will be two exams. If any grading criteria event will be missed it will be the responsibility of the student to arrange a mutually agreeable schedule for completion of work.
Grades will be based on:
Class participation and Homework 40%
Midterm Exam 30%
Final Exam 30%
Academic Honesty
The course is governed by the Academic Conduct Committee policies
regarding plagiarism (any attempt to represent the work of another
person as one’s own). This includes copying (even with modifications)
of a program or segment of code. You can discuss general ideas with
other people, but the work you submit must be your own. Collaboration
is not permitted.
Dr. Anatoly Temkin,
Assistant Professor, Graduate Student Academic Advisor
Computer Science Department, Metropolitan College,
Boston University, 808 Commonwealth Ave, Room 250
Boston, MA 02215
Office: 617-353-2566, Home: 617-277-0494, FAX 617-353-2367
Email:temkin@bu.edu
Office hours: Monday 3-5, Tuesday 3-5
Classes are scheduled at CGS: 871 Commonwealth Ave, Room 505
Schedule of Classes
1/18 One-to-one and onto functions, composition
of functions, inverse functions, definition of
the limit of a sequence and of a function at the point, continuous
functions.
1/25 Definition of the derivative and rules of differentiation,
partial derivatives, points of
maximum and minimum, graphs of functions.
2/1 Asymptotes, graphing techniques
2/8 Antiderivatives, Definite Integral, the Fundamental Theorem
of Calculus
2/15 The rule of sum, the product rule, permutations and combinations
2/22 Substitute Monday Schedule of Classes
3/1 The classical and statistical definition of
probability
3/8 Spring Recess
3/15 Review
3/22 Midterm Exam
3/29 Conditional probability, independent events,
repetition of trials, Binomial Distribution
4/5 Random variables, Binomial Distribution, Poisson Distribution
4/12 Geometric Distribution, the Math Expectation
and the Variance
4/19 Chebishev Inequality, applications to statistics, Distribution
Functions, Density Functions
4/26 Normal Distribution, The Central Limit Theorem
5/3 Exponential Distribution, Conditional Distribution, Linear Regression
5/10 Final Exam
