Syllabus

advertisement

SYLLABUS

MAT 223 FUNDAMENTAL CONCEPTS OF MATHEMATICS III

10:40-11:50 MWF, FALL 2015

BETSY McCall, M.A., M.S.,

ASSISTANT PROFESSOR OF MATHEMATICS

ANNE ARUNDEL COMMUNITY COLLEGE

OFFICE HOURS bjmccall@aacc.edu

(410) 777-1296

Mathematics 231J

MW 1:30-3:30

ThF 1:30-2:30

Thursdays, I will be in CRSC 190. All other days I will be in Math 231J.

COURSE WEBSITES

COURSE DESCRIPTION

LEARNING OBJECTIVES

REQUIRED MATERIALS

ATTENDANCE

Canvas Course (TBA)

Online Homework learn.hawkeslearning.com

Archive Site betsymccall.info or

http://betsymccall.net/prof/courses/fall15/aacc/edstats.html

Primarily for students in the elementary education program. Topics include data collection, sampling, interpreting data, displaying data, correlation and regression, distributions, confidence intervals, probability, and the use of technology. Principles and standards of national mathematics organizations are applied to probability and statistics.

Prerequisite: MAT 221 or MAT 222 or equivalent

Note: Credit is not given for both MAT 223 and MAT 135 a.

Use the techniques of descriptive statistics to collect and organize data, create and interpret graphs, and compute statistics. b.

Apply probability theory in specific contexts. c.

Use the techniques of inferential statistics to construct confidence intervals and conduct hypothesis tests. d.

Use technology to enter, display, and analyze data. e.

Evaluate the validity of educational statistics as presented in a journal article. f.

Improve skills needed to teach elementary school mathematics.

Textbook: “Beginning Statistics” 2 nd Edition, by Warren, Denley, and

Atchley, Hawkes Learning Systems, 2014

Software: CD/Students access code for “Hawkes Learning Systems” software accompanying every new textbook

Calculator: While a scientific calculator may be minimally adequate for completing this course, it is strongly recommended that students obtain a TI-83/84 calculator. Students may not use a TI emulator on their smartphones or tablets during exams.

Attendance is class is required of all students. We will be doing a number of in-class group activities, some of which will be extremely difficult to replicate by oneself outside of class. AACC faculty are required to report attendance daily. If you must miss class, you can

GRADING

EXAMS

ONLINE HOMEWORK

ATTENDANCE AND

PARTICIPATION submit assignments to me by email before the end of class (scan or take a clear photo). Late assignments will be assessed a 50% penalty.

Exceptions to this policy will be made only under extreme circumstances, or if arrangements are made in advance of the absence.

Midterm Exams (x2) – 150 points each (300 points total)

Final Exam – 200 points

Online Homework – 150 points

Attendance and Participation – 100 points

Projects – 200 points

Quizzes – 50 points

The total course grade is out of 1000 points. Grades will be awarded as follows:

F: 0-599 points

D: 600-699 points

C: 700-799 points

B: 800-899 points

A: 900+ points

Exams will be given in class. Make-ups will be allowed if 1) prior permission is obtained and make-up time is scheduled in advance

(more than 48 hours!), 2) under exceptional circumstances. Students are responsible for contacting me in a timely fashion. Once a graded exam is returned to students, the exam cannot be made up under any circumstances.

Final Exam: Friday, December 11, 10:15-12:15 (tentative)

The final exam is comprehensive, but will emphasize more recent material.

We will be using an online learning system from Hawkes. The CD accompanies the textbook for this course. The learning system has three stages: learn (essential from the e-book), practice (do problems as often as you like with learning aids), and certify (this is the stage that is graded). You may attempt the certify stage once before doing the practice if you like, however, in general, you will need to obtain 80% or higher mastery of the material to be awarded credit for it. Chapter

Reviews are optional, as are the three assigned sections from the appendices, however, you can use these to make up points from sections you missed. Students cannot earn more than 150 points toward this component, but if you are borderline, I may consider additional points for rounding purposes.

As noted above, faculty are required to report attendance to the college daily. You must attend 75% or more of classes to be consider

“attending” for reporting purposes. Your grade for this component will be computed this way:

PROJECTS

QUIZZES

TUTORING

SPECIAL NEEDS

All students will start out with 120 points (20 points more than you can earn at the end of semester). Each day a student misses class will result in a 5-point deduction. (This will allow you to miss 4 class days.

All absences, for any reason, count against this.)

On a near daily basis, students will be expected to prepare “discussion questions” for class. Class preparation may also include reading articles posted online or passed out in advance. Students that fail to make a substantial effort to complete the required discussion questions prior to class, will be penalized up to 4 points per class.

We will be doing a number of in-class activities to accompany learning in the classroom. Not fully participating in these activities may result in penalties up to 4 points for non-participation, not to exceed 5 points total for any one day.

Students will be completing a number of projects during the course of the semester. One project will be completed in class working in groups

(50 points). There will be four short Excel projects (25 points each).

There will also be a critical analysis of an education paper due at the end of the semester (50 points). More information on these projects will be forthcoming. Excel labs will be completed outside class, generally speaking. Students may use any of the open math labs such as MATH 206 or CRSC 190.

In general there will be a short in-class quiz once per week, generally on

Friday, each one worth 5 points each. There are intended to give you some idea of the kinds of questions to except on forthcoming exams, and to give you some idea of how I might ask questions different from/similar to the textbook. While more than 50 points will be theoretically available to account for missed quizzes, no more than 50 points may count toward the final course grade. Missed quizzes cannot be made up.

Help with the material is available during my posted office hours, by appointment, or by email. You may also visit the Math Lab in Library

102 for additional assistance. It is recommended that you seek out help early and often rather than wait until you are in a hole difficult to climb out of.

Notice of Nondiscrimination: AACC is an equal opportunity, affirmative action, Title IX, ADA Title 504 compliant institution. Call Disability

Support Services, 410-777-2306 or Maryland Relay 711, 72 hours in advance to request most accommodations. Requests for sign language interpreters, alternative format books or assistive technology require

30 days’ notice. For information on AACC’s compliance and complaints concerning sexual assault, sexual misconduct, discrimination or harassment, contact the federal compliance officer and Title IX coordinator at 410-777-1239, complianceofficer@aacc.edu

or

Maryland Relay 711.

The Disability Support Services Office is located in SSVC room 200

(Student Services Building). Appropriate and reasonable academic accommodations will be provided to all qualified individuals.

Confirmation of disability will be required. For further information, refer to the College Catalog.

Note that accommodations granted in the middle of the semester will not go into effect retroactively, so it is important to go through the proper channels as early as possible.

TECHNOLOGY IN THE

CLASSROOM

WEATHER POLICY

ACADEMIC INTEGRITY

Please turn off all cell phones and other electronic devices while in class. Use of these items is strictly forbidden during tests. If you wish to use a tablet or laptop for note-taking, you may ask permission to do so, but do not abuse the privilege by listening to music, watching videos, checking Facebook, or other non-class-related activities while class is going on. It is distracting to other students, and I will rescind permission to use your device in class if a student cannot stay on task.

Calculators on phones and tablets are okay to use during in-class activities and for homework, however, they will not be permitted during in-class quizzes or during tests. Do not count on me having a spare for you to borrow.

If the college is officially closed for any reason, the activities and material scheduled for the day on which the college was closed will be covered / take place during the next class meeting. This includes scheduled tests.

Unless otherwise announced online homework due dates will still be in effect as officially scheduled. Sign up for emergency alert text messages at www.aacc.edu/stayinformed .

Academic honesty is expected at all times from all AACC students. There is never a reason to cheat, facilitate, plagiarize or otherwise not show integrity. Behavior violating the school’s Academic Integrity Policy will result in severe sanctions. They can range from zero points for the respective assignment/quiz/test to a failing class grade, and do not have to be limited to sanctions involving grades. Other sanctions, e. g. community service, can be imposed as well. If this is a repeat or even more severe offense, harsher penalties than failing the class may be given. Each violation of the Academic Integrity Policy will be formally put in an incident report and forwarded to the appropriate college representative. The complete academic integrity policy can be found in the online College Catalog – College Policies and Procedures – Academic

Integrity Policy.

STUDENT OPINION FORMS Toward the end of the semester you will be asked to fill out an online

Student Opinion Form to provide feedback on your learning and your instructor’s teaching concerning this course. Your responses will be anonymous and your instructor will receive the results only after submitting final grades. Your input is important because it may offer information, recommendations, or ideas to improve teaching and

learning at AACC. You can be assured that all comments will be read and taken into consideration to make this class the best it can be.

Please follow the request to participate.

If 80% of the class completes the opinion survey, everyone will get 5 bonus points.

Letter name

Alpha

Beta

Gamma

Delta

Epsilon

Zeta

Eta

Theta

Iota

Kappa

Lambda

Mu

THE GREEK ALPHABET

Uppercase Lowercase Letter

Α

Β

Γ

Δ

Ε

Ζ

Η 𝛼 𝛽 𝛾 𝛿 𝜀 𝜁 𝜂

name

Nu

Xi

Omicron

Pi

Rho

Sigma

Tau

Θ

Ι

Κ

Λ

Μ 𝜃 𝜄 𝜅 𝜆 𝜇

Upsilon

Phi

Chi

Psi

Omega

Uppercase Lowercase

Ν

Ξ

Ο

Π

Ρ

Σ

Τ

Υ

Φ

Χ

Ψ

Ω

TENTATIVE SCHEDULE

Week

1

2

Dates

8.24

Topics/Sections Covered

Introduction to the Course

1.1 Getting Started

8.26 1.2 Data Classification,

1.3 Process of a Statistical Study

8.28 1.4 How to Critique a Published Study

8.31 2.1 Frequency Distributions

3

4

5

9.2

9.4

9.7

9.9

9.11

9.14

9.16

9.18

9.21

2.2 Graphical Displays of Data

2.2 Graphical Displays of Data

Labor Day, no classes

2.3 Analyzing Graphs

3.1 Measures of Center,

3.2 Measures of Dispersion

3.2 Measures of Dispersion

3.3 Measures of Relative Position

12.1 Scatterplots and Correlation

Math Modeling Project Week

Comments/Due Dates

Sections 1.1-1.4

Sections 2.1, 2.2a, 2.2b

Excel Project #1

Sections 2.3, 3.1, 3.2a

Sections 3.2b, 3.3, 12.1 𝜐 𝜑 𝜒 𝜓 𝜔 𝜈 𝜉 𝜊 𝜋 𝜌 𝜎 𝜏

6

7

8

9.23

9.25

9.28

9.30

Project follow-up

12.2 Linear Regression

10.2 Review for Exam #1

10.5 Exam #1 covers Chapters 1, 2, 3 and 12

10.7 4.1 Introduction to Probability

10.9 4.2 Addition Rules for Probability

10.12 4.3 Multiplication Rules for Probability

10.14 4.4 Combinations and Permutations

10.16 4.5 Combining Probability and Counting

Techniques

10.19 5.1 Discrete Random Variables 9

10

11

12

10.21

10.23

10.26

10.28

10.30

11.2

11.4

11.6

11.9

5.2 Binomial Distribution

6.1 Introduction to the Normal

Distribution

6.2 Finding Area under a Normal

Distribution, 6.3 Finding Probability under a Normal Distribution

6.4 Finding Values of a Normally

Distributed Random Variable

Review for Exam #2

Exam #2 covers Chapters 4, 5 and 6

7.1 Introduction to the Central Limit

Theorem, 7.2 Central Limit Theorem with Means

7.3 Central Limit Theorem with

Proportions

8.1 Estimating Population Means ( 𝜎 known)

11.11

11.13

8.2 Student’s t-Distribution

8.3 Estimating Population Means ( 𝜎 unknown)

13 11.16 8.4 Estimating Population Proportions

11.18 10.1 Fundamentals of Hypothesis

11.20

Testing

10.1 Fundamentals of Hypothesis

Testing

14 11.23 10.2 Hypothesis Testing for Means ( 𝜎 known)

11.25 10.4 Hypothesis Testing for Population

Proportions

11.27

15 11.30

Thanksgiving Holiday, no classes

Article critique presentations

Excel Project #2

Section 12.2

Sections 4.1, 4.2

Section 4.3-4.5

Excel Project #3

Sections 5.1, 5.2, 6.1

Sections 6.2-6.4

Sections 7.2, 7.3

Sections 8.1, 8.3

Sections 8.4, 10.1

Sections 10.2, 10.4

Excel Project #4

12.2

12.4

16 12.11

Article critique presentations

Review for Final Exam

Final Exam, 10:15-12:15 Comprehensive, emphasizes Chapters 7, 8,

10

Final deadline for makeup/bonus homework 12.7

Download