Download Course Syllabus - Rocky Mountain College

Course Syllabus: MAT 210 – Probability and Statistics
Fall Semester 2005, Section 2
Instructor: Ulrich Hoensch, Ph.D.
E-mail: [email protected]
Office: Bair 115
Office Phone: (406)-657-1126
Office Hours: Monday, Wednesday 10:40-11:40 a.m., Tuesday, Thursday 2:15-3:15 p.m., and other times by
appointment
Credits: 3 Semester Hours
Class Meetings: Tuesday, Thursday 9:20-10:35 a.m.
Class Room: Bair 104
Class Web Page: http://www.rocky.edu/~hoenschu/FS_2005/MAT210/Section2/main.html
Course Description: A non-calculus based study of discrete probability theory and its statistical
applications. Use of permutations and combinations in computing probability of discrete events. Distribution
theory and its applications in hypothesis testing and setting confidence intervals. Prerequisite: MAT100 or
satisfactory score on a placement exam.
Rationale: MAT 210 can be used to fulfill part of Rocky Mountain College’s Mathematics General Education
Requirement; it is a highly recommended course for students majoring in sciences requiring data collection or
analysis. MAT 210 will assure that students in the teacher education program will be knowledgeable in the
fields of data analysis, mathematical probability and statistics (the course provides content knowledge in
mathematics, as indicated in the RMC Teacher Education Program Conceptual Framework).
Texts:
1. Class Notes for MAT 210, Fall Semester 2005 (required).
2. Bluman, Elementary Statistics, A Brief Version, McGraw Hill (recommended, not required).
Calculator: A calculator is required; calculators on cell phones or similar devices may not be used.
Course Objectives: At the completion of MAT 210, students will be able to:
1. organize and graphically represent data;
2. compute sample statistics such as the mean, median, variance and standard deviation;
3. use counting techniques, including permutations and combinations, to compute probabilities of discrete
events;
4. model real-world situations using both discrete random variables and normal distributions;
5. compute confidence intervals for population parameters, such as the mean and the standard deviation;
6. perform hypothesis testing for population parameters, including one- and two-sample tests, and formulate
convincing arguments using inferential statistical methods;
7. collect and analyze real-world data, and convincingly present results using the appropriate statistical
vocabulary;
8. correctly perform linear regression analysis;
9. critically assess the virtue and validity of statistical methods and recognize the limitations and
inappropriate use of statistics.
Methods of Evaluation: Students will be evaluated based on the following evidence.
 Tests, in-class and homework assignments.
 Attendance record, timeliness, the amount of courtesy and respect extended towards fellow students and
the instructor.
 Level of academic and personal honesty and integrity.
Criteria for Grade Assignment: To receive a passing grade, a student must show evidence that she/he is
able to successfully perform the tasks laid out as course objectives (see above). Furthermore, students must
attend all class meetings, arrive on time and exhibit appropriate classroom and social behavior. More
specifically, a student is required to have accrued at least 60% of possible points to meet these criteria (see
below). In addition, all submitted work must be the student’s own work, or if it is not, names of sources or
collaborators must be identified.
Possible points will come from:
 3 one-hour, in-class tests, each worth 100 points; here students must submit only their own work, by
using only a graphing calculator, and other explicitly permitted material;
 the final exam, which is worth 200 points; here students must submit only their own work, by using
only a graphing calculator, and other explicitly permitted material;
 several in-class assignments, or homework assignments, worth a total of 200 points;
This amounts to a total of 700 possible points. The following grading scale will be used to assign grades.
A: 90%, or more
B: 80 – 89%
C: 70-79%
D: 60-69%
F: less than 60% of possible points.
Instructional Methods and Experiences: This is a small-class lecture with occasional in-class practice
sessions. Student participation in the lecture is encouraged, group work is encouraged for the in-class work.
Study groups outside of class are strongly recommended. However, completion of homework assignments
must be done independently by each student.
Class Policies: Students are required to attend all class meetings and complete all assignments. All homework
assignments must be submitted at the beginning of class on the due date. All in-class assignments, including
tests and exams, must be completed in the time allotted by the instructor. All work on tests and exams must be
the student’s own work, and may only be obtained through the use of allowed tools. Homework assignments
must be completed independently by each student. Tests and exams may only be made up if the instructor is
notified in advance of qualified absences. Qualified absences are limited to the following: (a) activities
connected with Rocky Mountain College programs; (b) grave illness (in which case a doctor’s note is required);
(c) a family or personal emergency, or due to force majeure. In cases (b) and (c) above, students may be
excused from assignments if they notify the instructor immediately after their absence.
College Academic Policies: Students must abide by all Academic Integrity Policies of the College. See
http://academics.rocky.edu/index.php?topgroupid=2&groupid=32 for details.
State and National Standards Matrix — The teacher education program of Rocky Mountain College uses
INTASC standards and Montana Board of Education standards as guidelines for the education of our
pre-service teachers.
INTASC Standards
N/A
N/A
Principle #1: Statistics and
Probability :: Discrete and
Continuous Probability
Distributions
Montana Board of
Education Standards
10.58.518 (1)(a): (iii)
10.58.518 (1)(a): (v),(ix),(xi)
10.58.518 (1)(h): (i)
Course objectives
which meet these standards
9
4, 7
4
Principle #1: Statistics and
Probability :: Data and its
Power
Principle #1: Statistics and
Probability :: Investigation
through Data
Principle #1: Statistics and
Probability :: Data
Representation
Principle #1: Statistics and
Probability :: Analysis and
Interpretation of Data
Principle #1: Statistics and
Probability :: Inference
Principle #1: Statistics and
Probability :: Probability
Principle #1: Statistics and
Probability :: Predicting
Outcomes Based on
Probabilities
Principle #1: Statistics and
Probability :: Random
Variables
Principle #1: Statistics and
Probability :: Descriptive and
Inferential Statistics
Principle #1: Statistics and
Probability :: Probability
Theory
Principle #1: Statistics and
Probability :: Discrete and
Continuous Probability
Distributions
Principle #1: Discrete
Mathematics :: Counting
Techniques
10.58.518 (1)(f): (i)
1, 7, 8
10.58.518 (1)(f): (i)
1, 7, 8
10.58.518 (1)(f): (i)
1, 2, 7, 8
10.58.518 (1)(f): (ii),(iii),(v)
2, 4, 5, 6, 7, 8
10.58.518 (1)(f): (iii),(v)
5, 6, 8
10.58.518 (1)(f): (ii)
3, 4
10.58.518 (1)(f): (ii),(iv)
3, 4, 9
10.58.518 (1)(f): (ii)
4
10.58.518 (1)(f): (i),(ii),(iii),(v)
2, 4, 5, 6, 7, 8
10.58.518 (1)(f): (ii),(iii)
3, 4
10.58.518 (1)(f): (ii)
3, 4
10.58.518 (1)(h): (ii)
3
Course Schedule: MAT 210 – Probability and Statistics
Fall Semester 2005
Note: This is an approximate schedule; changes will be announced in class.
Day
Tuesday
Thursday
Tuesday
Thursday
Tuesday
Thursday
Tuesday
Thursday
Tuesday
Date
August 23
August 25
August 30
September 1
September 6
September 8
September 13
September 15
September 20
Topics
First Day of Class; 2.1, 2.2, 2.3
2.4, 3.1, 3.2
3.3, 3.4, 3.5
4.1, 4.2
4.3
5.1, 5.2, 5.3
5.3, 5.4
Review for Test 1
Test 1
Thursday
Tuesday
Thursday
Tuesday
Thursday
Tuesday
Thursday
Tuesday
Tuesday
Thursday
Tuesday
Thursday
Tuesday
Thursday
Tuesday
Thursday
Tuesday
Tuesday
Thursday
TBA
September 22
September 27
September 29
October 4
October 6
October 11
October 13
October 18
October 25
October 27
November 1
November 3
November 8
November 10
November 15
November 17
November 22
November 29
December 1
TBA
5.5, 5.6
6.1, 6.2, 6.3
6.4
7.1, 7.2, 7.3
7.4
7.5
Review for Test 2
Test 2
8.1, 8.2
8.3
8.4
9.1, 9.2
9.3
9.4
Review for Test 3
Test 3
10.1, 10.2
Chapter 11
12.1, 12.2
Final Exam in Bair 104