**Syllabus: **

**PHS 542: ****Integrated Math and Physics**

Summer at ASU

(2018: Bob
Rowley, Robert.J.Rowley@asu.edu)

** **

**Catalog
description: **Mathematical models and modeling as an integrating
theme for secondary mathematics and physics. Enrollment by teams of mathematics
and physics teachers encouraged.

__COURSE DESCRIPTION:__

**A. Overview:**

__Week 1:__ Teaching theory with Dr. Hestenes,
introduction to the four math models,

introductory activities with Geogebra and GlowScript.

__Week 2:__ Math Model 1 (MM1: constant rate of
change), similarity & ratio problems,

linear graphs, slopes. Introduction to Geometric Algebra (GA)
in 2D.

Introduction to MM2 (constant change in rate), parabolas and their graphs.

__Week 3:__ Continue MM2, parabolas in projectile
motion, GA Primer treatment.

MM3 (rate proportional to amount), exponentials and their graphs, Professor

BartlettÕs treatment of exponential growth and non-renewable resource lifetime.

__Week 4:__ MM4 (change in rate proportional to
amount), trig functions, EulerÕs formula

as used in GA,
oscillatory motion in physics applications. GA Primer topics in

classical physics, 3D
rotations.

__Week
5:__ Continue GA Primer
topics. Beginning relativity using
GA treatment.

Some standard relativity examples
from the GA viewpoint.

__ __

**B. Course plan and rationale:** Daily handouts. Some theory, many cooperative practice activities, homework
assignments, and either a final exam or final project. One goal is to deepen teacher
understanding of the importance of the mathematical models which span a large
portion of physics topics. The
other goal is to familiarize teachers with the benefits of Geometric Algebra,
so that they may be encouraged to introduce GA basics to high school students,
since it can aid in understanding of geometry and vector operations.

__ __

** STUDENT LEARNING OUTCOMES:** At successful course completion, students will have

- deepened their understanding of four
basic mathematical models in physics,

- become acquainted with Geometric Algebra
for math and physics,

- practiced teamwork and communication to
improve their instruction,

- improved their instructional pedagogy by
incorporating inquiry methods, critical and creative thinking, and cooperative
learning, in the context of mathematical modeling.

__ __

__LISTING OF ASSIGNMENTS:__

This course meets for 47.5 hours (19 days), and ABOR
requires that you do at least 90 hours of work outside of class. Assignments will be listed by the
instructor, daily.

__ __

__GRADING POLICIES:__

A-B-C grades: B means average; a 3.0 GPA is minimum requirement for MNS and
other graduate degrees. Grades are
based on attendance, participation, homework, and final exam.

__ __

__Policies of Arizona Board
of Regents (ABOR), ASU, and Department of Physics:__

* ABOR: Each student is expected
to work a minimum of 45 hours per semester hour of credit.

* Pass-fail is not an option for
graduate courses. https://students.asu.edu/grades-grading-policies.

* 3.0 grade point average (GPA)
is minimum requirement for MNS & other graduate degrees.

* Incomplete: only for special
circumstances. Must finish course within 1 year, or it becomes ÒEÓ.

* An instructor may drop a
student for non-attendance during the first two class days (in summer).

* An instructor may withdraw a
student with a mark of "W" or a grade of "E" only in cases
of

"disruptive classroom
behavior".

* The ASU Department of Physics is
critical of giving all A's, because it indicates a lack of

discrimination. A grade of "B" (3.0) is an
average graduate course grade, and obviously not all

students do above-average work compared to their peers. Some of you can expect to earn a

"B", and those
who are below average but do acceptable work will earn a "C".

** **

** Academic dishonesty policy:** Academic honesty is expected of all students in all examinations,
papers, laboratory work, academic transactions, and records. The possible
sanctions include, but are not limited to, appropriate grade penalties, course
failure (indicated on the transcript as a grade of E), course failure due to
academic dishonesty (indicated on the transcript as a grade of XE), loss of
registration privileges, disqualification and dismissal. For more
information, see http://provost.asu.edu/academicintegrity.

__Disability policy____:__
Qualified students with disabilities who require disability accommodations in
this course are encouraged to make their requests to the instructor on the
first class day or before. Note: Prior to receiving disability accommodations,
verification of eligibility from the Disability Resource Center (DRC) is
required. Disability information is confidential.

__REQUIRED INSTRUCTIONAL MATERIALS:__

No textbook. Optional is a 3-ring
binder (preferably 1 inch thick); 6 tab inserts.

Either access to the GA Primer (http://geocalc.clas.asu.edu/GA_Primer/GA_Primer/)
or a personal copy of the GA Primer as PDF. Access to the internet for free math software tools Geogebra
and GlowScript.

__ __

** REQUIRED MEDIA:** None.

__ __

** REQUIRED READING:** Daily handouts, selected topics from the GA Primer.

__ __

** RECOMMENDED READING:** None.