Math 1107 (3 credits)
Introduction to the Mathematical Sciences
MATH 1107
Bemidji State University
Name: |
Dr. Todd Frauenholtz |
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Leslie Bellanger |
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Email: |
TFrauenholtz@BemidjiState.edu |
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Phone: |
218-755-2817 |
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Office: |
Hagg – Sauer #372 |
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Math Help Room (in Library) |
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Office Hours: |
M W F 10 - 11 am |
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Tues & Thurs 12-1 |
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Deadline for dropping the course: http://www.bemidjistate.edu/academics/calendar/ |
This course integrates the study of algebra, statistics and computing. Topics include functions, graphical and tabular analysis, rate of change, syntax and semantics, the process of computing, data manipulation, sampling, statistical measures, basic probability, correlation. Examples are drawn from a wide range of disciplines and content will be taught within the framework of discipline-specific examples. Students will learn to use the software package Microsoft Excel. The prerequisite is MATH 0800.
The website address for this course is http://faculty.bemidjistate.edu/tfrauenholtz. This website will contain many resources for the class.
The prerequisite is MATH 0800 with a grade of C or higher or consent of instructor.
This course meets the liberal education requirement at BSU in Category 4.
Introduction to the Mathematical Sciences will be taught in a laboratory environment. The course is 3 credits and will meet 3 times per week for two hour sessions. The sessions will be a mix of lecture, individual work, and group work. Student participation and activity learning will be stressed.
Students will be learn basic algebra, statistics, and technology skills within the context of university wide discipline specific topics. Students will gain basic proficiencies with using Microsoft Excel to solve problems in the mathematical sciences.
The following topics will be covered in the course. The amount of detail and rigor of each topic included in the course will vary depending on the topic and level of presentation.
All quizzes and tests must be completed on time unless arrangements have been made prior to a quiz or test. Quizzes will be given frequently and they may be unannounced. There will be four exams during the semester and one final exam. The final exam is on Wednesday, May 6 from 10:30 AM to 12:30 PM.
Grade Calculations |
Percentages |
Homework/Projects/Attendance |
20% |
Quizzes |
15% |
Exams I, II, and III |
40% |
Final Exam |
25% |
Grade |
Points Range |
A |
[90%, 100%] |
B |
[80%, 90%) |
C |
[70%, 80%) |
D |
[60%, 70%) |
F |
[0, 60%) |
Go to http://www.bemidjistate.edu/studentaffairs/stguide/polproced.html for BSU “Policies & Procedures.”
Incomplete: An incomplete (I) grade will only be given in documented emergency situations. Bemidji State University policies will be followed.
Your instructor would like to make sure that all the materials, discussions and activities that are part of the course are accessible to you. If you would like to request accommodations or other services, please contact the instructor as soon as possible. It is also possible to contact Accessibility Services, Decker Hall, 202. Phone: 218/755-3883 or E-mail address accessibility@bemidjistate.edu. Also available through the Minnesota Relay Service at 1-800-627-3529.
The Instructor reserves the right to change this syllabus as this course proceeds if the
need arises. Should a change be required the class will be notified.
Tentative Course Calendar
Week 1 |
Introductions, pre-test, and data collection [Algebra tests, answer sheets, meter sticks, data sheets, review sheets, informed consent, computer access] |
Variation in data [Stats tests, answer sheets, meter sticks] Class Data |
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Assignment #1 - email class data to Todd, Handout Algebra Review #1 & #2, Island problems [Algebra reviews, Island problems] |
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Week 2 |
MLK Day |
Island problems - verbally, pictoral or concrete representation, graph, algebraic formula, table, Excel spreadsheet; REVIEW class data |
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Island problems - multiple representations quiz. Consider the 100 island problems! |
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Week 3 |
100 island problems |
Statistics -- descriptive (tables, graphs, presentation, summarizing) and inferential (infer, predict, estimate, make decisions) Types of data -- quantitative and qualitative Can we standardize shoe size with foot length using the WWW as a resource? |
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Samples and populations in statistics (mean, median, mode, range, standard deviation) |
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Week 4 |
Measures of center and measures of dispersion (spread) -- maybe even a quiz |
Calculating standard deviation -- what's going on? Relative and absolute references |
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M&M data -- display data using two graphs to make prediction |
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Week 5 |
M&M data presentations |
M&M data presentations and review for test |
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TEST #1 |
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Week 6 |
Scaling -- doubling a recipe, 1.5 x recipe. Rate, ratio, and proportion worksheet. |
Heartbeats -- how many times will your hearbeat in a lifetime? What proportion have you used? What proportion remain? |
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Possible quiz on rate, ratio, and proportion. |
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Week 7 |
Orange juice, its not just for breakfast any more. Which mix is the most orangey? Rate, ratio, and proportion. |
Different animals and different heartbeats -- hypothesis development |
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Data collection on heartbeats and testing your hypothesis |
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Week 8 |
Robert Wadlow's forearm length -- and your forearm length. Examining error in models. Skewness in graphs. |
Review rate, ratio, proportion with examples of each |
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Test #2 |
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Week 9 |
Deal or NO DEAL! |
Wingspan as an estimator of height. Is this accurate or precise or both or neither? Discussion of bias and variablility |
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"Statistics You Can't Trust" by Steve Campbell, Ph.D. and "What's Wrong in these Scenarios" |
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Week 10 |
Archery target scores data Looking at skewness of graphs |
Understanding graphs, slope and intercept |
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Matching and Analyzing graphs with slope and intercept |
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Week 11 |
Download the grades from the four courses currently being taught. Explain the skewness, where the mean and median are (relative to one another). Construct histograms to display the data. |
Review day STARTING at 9 am |
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Test 3 -- standard deviation, if / then, slope & intercept (interpreting graphs). Computer file | |
Week 12 |
Veteran's Day -- no classes |
Discrimination or not? (NCTM Navigations) and introduce standard deviation in a normal distribution from spread data |
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Discrimintation or not? Spitting seeds at the Watermelon Thump! |
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Week 13 |
Normal distributions quiz |
Tippy / Stable in Excel |
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If / then in MS Excel |
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Week 14 |
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No classes -- Thanksgiving break | |
No classes -- Thanksgiving break | |
Week 15 |
McNobel prizes? Boston Marathon -- predicting the winning time in 2028. |
Pigs and chickens -- counting heads and feet | |
Class test -- constructing linear models | |
Week 16 |
Review for final |
Reading day | |
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Final Exam – 2 Hours Comprehensive on Wedbessday, May 6 from 10:30 AM to 12:30 PM. There are some data you will need here. |
updated 1/14/2020
by Todd
Frauenholtz