Mathematics for Secondary Teachers:
Algebra and Analysis
(MATH 414/5514, Department page)
Offered Summer only [starting Summer 2009]
Summer 2009 offering of 5514 for Teachers
SUMMER 2009
Time and Place: TWR 1:00-3:50 pm, Room 315 Haag Hall
Professor: Richard Delaware
Office Hours: See Current Semester Office Hours
Office: Room 306 A, Manheim Hall
Mailbox: Room 206, Haag Hall, Dept. of Mathematics & Statistics
Phone: 816.235.2850
Email: delawarer@umkc.edu
On This Page:
On a Separate Page:
GO TO Richard Delaware Home Page
GO TO Mathematics and Statistics Home Page
Dated Announcements (Most recent at the top)
BACK to Top of Page
Web Sites with Graphers and Other Math Applets
Visit the web sites below. I think you’ll like what you see. Let me know if you discover any others.
- The following possibly useful programs are FREE (!) from Peanut Software:
- Winplot: A general-purpose plotting utility, which can draw (and animate) curves and surfaces presented in a variety of formats.
- Wingeom: For high-precision geometric constructions in both two and three dimensions. Drawings can be highlighted and animated in a variety
of ways.
- Winmat: Allows the user to calculate and edit matrices, and solve standard linear algebra problems. The program operates in real, complex, and
integer mode.
- Windisc: A collection of subprograms that deal with discrete-math topics such as apportionment, voting power, voting methods, and network
analysis (traveling salesman problem, map-coloring, etc).
- http://www.langara.bc.ca/mathstats/resource/GraphExplorer/
Graph Explorer – a bare bones grapher. Very good.
- http://math.hws.edu/javamath/config_applets/index.html
These applets cover simple graphs, animated graphs, families of graphs and so on.
- http://www.ies.co.jp/math/java/samples/samples.html
Click on any of the 9 cool applets. All sorts of mathematics.
- http://archives.math.utk.edu/visual.calculus/0/index.html
Precalculus applets with some TI 85 and TI 86 live demonstrations.
- http://www.mste.uiuc.edu/users/Murphy/MovingMan/default.html
Try out this “Moving Man” applet. (The link is at the bottom of its page.)
Just grab and drag the man and watch the graph drawn. Could be an excellent teaching tool.
BACK to Top of Page
Syllabus, Texts, Grading
PREREQUISITES:
TEXT:
- Mathematics for High School Teachers: An Advanced Perspective, by Usiskin, et al., Prentice Hall, 2003.
- We will cover Chapters 1-6.
EXAMS:
- There will be two 75-90 min. Exams (100 points each) during the semester, each given a letter grade for your convenience.
- The FINAL EXAM (150 points) will be held in our usual classroom, on THURSDAY July 30, 2009.
HOMEWORK & PROJECTS:
- A list of suggested homework problems will be posted here. Selected problems will be collected and graded.
- Several typed Project problems will be required, usually chosen from approved projects appearing at the end of Chapters 2-6 in the text.
- Graduate students enrolled for Math 5514 will do an additional project.
- For assignments use only one side of standard 8˝ x 11 paper. When due, put it on my desk at the start of class.
- Late assignments of any kind are NOT accepted, except by prior arrangement.
GRADES:
- 50% -- Homework & Projects
- 30% -- 2 Exams (100 pts each; 15% each)
- 20% -- Final Exam (150 pts)
- I use grading software to provide grade reports. At the end of the semester before the Final Exam is recorded, I will drop your "most damaging" score. However, the Final Exam and the Projects cannot be dropped.
NOTES:
- Reading Chapter 1 is essential, though this will be covered only briefly in class.
- Graphing or computer algebra technology can be very helpful.
- You will not be able to do every suggested problem. But to succeed, you must try a good number.
BACK to Top of Page
Suggested Homework Problems [Subject to change]
Chapter 1
- Ch. 1, p.14: 4, 7, 9, 10, 11, 12.
Chapter 2
- 2.1.1, p.24: 1, 2, 3, 5, 7, 8, 9, 10, 11, 12, 13.
- 2.1.2, p.33: 6, 7.
- 2.1.3, p.39: 1, 2, 4, 5, 6, 7, 8, 9, 12, 13.
- 2.1.4, p.46: 6, 8, 9, 10, 11.
- 2.2.1, p.53: 1, 2, 3, 4, 5.
- 2.2.2, p.62: 1-15 (all).
- Projects, p.63: 2, 3, 4, 5 (if not Math 464), 6, 7.
Chapter 3
- 3.1.1, p.75: 1, 2, 3, 5, 6, 7, 8, 9.
- 3.1.2, p.79: 1, 3, 5, 6, 7.
- 3.1.3, p.85: 2, 3, 4, 6, 7, 11, 12, 13, 14, 15.
- 3.2.1, p.94: 1, 3, 4, 7, 13.
- 3.2.2, p.100: 3, 4, 5, 7, 10, 13, 14, 15.
- 3.2.3, p.105: 2, 3, 4, 5, 6, 12, 13.
- 3.2.4, p.112: 1, 4, 6, 8, 9, 11, 14.
- 3.3.1, p.120: 3, 5, 6, 7, 8.
- 3.3.2, p.124: 1, 2, 3.
- 3.3.3, p.129: 1, 2, 3, 4, 5, 6.
- Projects, p.130: 1, 3, 4, 5, 6 (if not Math 402), 7.
Chapter 4
- 4.1.1, p.139: 2, 4, 5.
- 4.1.2, p.145: 5, 7, 8, 9, 10, 11, 12, 14, 15, 17.
- 4.2.1, p.148: 3, 4.
- 4.2.2, p.153: 1, 2, 3, 5.
- 4.2.3, p.159: 4, 6, 7.
- 4.3.1, p.163: 1, 2, 3, 4, 5, 6.
- 4.3.2, p.166: 5, 6, 7.
- 4.3.3, p.173: 2, 3, 4, 5, 6, 8, 10, 12, 13, 14.
- 4.3.4, p.176: 1, 3, 4, 7, 8, 9, 10, 14, 15.
- Projects, p.178: 2, 3, [4 + 5] (if not Math 464), 7.
Chapter 5
- 5.1.1, p.186: 1, 4, 5(Read).
- 5.1.2, p.191: 5, 6, 7, 8, 10, 12, 14, 17, 18, 20, 23(if not Math 464), 24.
- 5.1.3, p.196: 3, 5, 7, 12, 13.
- 5.1.4, p.204: 1, 2, 5, 7.
- 5.2.1, p.207: 1, 2, 3, 4, 5, 6.
- 5.2.2, p.211: 1, 2, 3, 5ab.
- 5.2.3, p.217: 1, 3, 4, 6, 8, 10.
- 5.2.4, p.222: 1, 2, 4, 5, 8, 12, 16, 20.
- 5.2.5, p.227: 2, 3, 4, 5, 7.
- 5.3.1, p.236: 1, 3, 5, 6.
- 5.3.2, p.240: 1, 2, 3, 5.
- Projects, p.241: 1, 3, 4, 5, 6, 8.
Chapter 6
- 6.1.1, p.251: 3, 5, 10, 12, 13.
- 6.1.2, p.255: 2.
- 6.1.3, p.260: 1, 2, 3, 5.
- 6.2.1, p.266: 2.
- 6.2.2, p.270: 2, 3, 4, 6.
- 6.2.3, p.272: 1, 2, 3, 5.
- Projects, p.273: 1, 2, 3.
BACK to Top of Page
Exam Outlines [Posted here as needed]
Midterm Exam
- Possibilities [Subject to change]
Midterm Exam Outline
Final Exam (Chapters 2-6) - Possibilities [Subject to change]
Final Exam Outline
BACK to Top of Page
GO TO Richard Delaware Home Page