Math for Measurement

Mathematics for Measurement - Presentation to emphasize how Modeling is handled


	Syllabus and Calendar Syldoc
A ans	Topic A. Solving Equations and Evaluating Expressions Adoc		Covers algebra in quite a lot of detail. Review.
B ans	Topic B. Formulas - Computing and Graphing Bdoc
C ans	Topic C. Using a Spreadsheet Cdoc	Examples 7 & 17 Excel workbook	Alternative spreadsheet programs (some free) .
D ans	\|Topic D. Approximate Numbers, Part I. Communicating Precision of Approximate Numbers Ddoc		More information about rounding. Both review and advanced.
E ans	Topic E. Using a Calculator Edoc
F ans	Topic F. Angles and Construction of Diagrams Fdoc
G ans	Topic G . Linear Equations – Algebra and Spreadsheets Gdoc	Graph a parameterized line spreadsheet \| Line between 2 points spreadsheet \|
H ans	Topic H. Linear Formulas - Word Problems Hdoc
I ans	Topic I. Approximate Numbers, Part II. Propagation of Errors in Computing with Rounded Numbers Idoc
J ans	Topic J. Data Jdoc
K ans	Topic K. Modeling, Part I. Linear and Quadratic Models Kdoc	Models1 workbook	More illustrations and practice .
L ans	Topic L. Trigonometry, Part I. Tangent Ratio in Right Triangles Ldoc
M ans	Topic M. Trigonometry, Part II. Ratios and Relationships in Right Triangles Mdoc
N ans	Topic N. Approximate Numbers, Part III. Communicating the Results of Computations Ndoc Supplement to Topic N. Topic N2. Significant Digits N2doc
O ans	Topic O. Approximate Numbers, Part IV. Input Sensitivity - graphs	Last semester's topic will be split in two and the first part will become this Topic O.
	Topic P. Modeling, Part II. Exponential Models and Model Comparison Techniques Pdoc	Models1 Workbook
Q ans	Topic Q: Trigonometry, Part III. Sine and Cosine Formulas on Larger Intervals Qdoc
R ans R2 ans	Topic R: Trigonometry, Part IV Solving General Triangles Rdoc Supplement toTopic R. Topic R2. The Ambiguous Case R2doc
S ans	Topic S: Modeling, Part III. Automated Fitting of Models, Comparative Goodness-of-Fit, and Outliers Sdoc	Models2 Workbook (includes SSquares and St Deviation)
T ans	Topic T: Approximate Numbers, Part V. Input Sensitivity - numbers	Last semester's topic will be split in two, and the last part will become this Topic T.
U ans	Topic U: Modeling, Part IV. Modeling logistic, normal, and sinusoidal formulas. Udoc
V ans	Topic V: Modeling, Part V.Modeling power functions and using logarithmic graphs Vdoc
W ans	Topic W: Trigonometry, Part VI. Applications and Spreadsheet. (The exercises for this topic are not on the web) Wdoc	Preliminary workbook Final workbook from Fall 07
X ans	Topic X: Approximate Numbers, Part VI. Reducing Noise by Averaging Measurements Xdoc
Y ans	Topic Y: Modeling, Part VI. Applications using combinations of basic models. Available in early February 2008.
Z1 ans Z2 ans	Topics Z1 and Z2: Approximate Numbers, Part VII. Error propagation of Noise – the Empirical Method Z1doc \| Z2doc		Supplement: Error propagation with multiple input values - mathematical formulas ZAdoc
ZA ans	Topic ZA: Approximate Numbers, Part VIII. Computing with Multiple In

The exercises at the end of each Topic have Part I and Part II. In all except Topic F, the Part I exercises are all fully worked out in the examples in the main part of the Topic, so students can check their work by comparing with the examples. The answers to the odd-numbered Part II problems are given in the documents just to the left of the title. Those are the full documents, with answers, so if you just use those, you'll have all the information in the materials.

As of Jan. 8, 2007, a few of the answer keys are missing. Several of the later modeling topics don't have as many exercises as they will by the end of January 2008.