Southwest Texas Junior College
Margaret Messinger (mathematics)
Mary Beth Monroe (physics)

Target Audience: In-service and pre-service secondary teachers, pre-med majors, underprepared engineering and physics majors

Goal: Describing our physical world

Course Description: Integrated mathematics and physics course. Course will integrate topics of precalculus and introductory physics. Prerequisite: TASP mastery in reading, writing and mathematics with math score > 270. Students will receive college credit for Mathematics 1348 and Physics 1401.

Class will meet 9 hours each week; two hour blocks Monday - Thursday and one hour tutorial session on Friday. The instructional team (one mathematics instructor and one physics instructor) will incorporate various pedagogical tools including cooperative learning and hands-on inquiry with one laboratory experiment per week. The interdisciplinary topics will emphasize the interdependence of mathematics and physics in the description of the physical universe. The students will be assigned two mini-research projects during the semester.

Syllabus:

Introduction
Meaning of numbers, measurements, and units
Modeling

Motion in one dimension
Description of motion and change in motion
Graphical analysis
Linear functions, slope and difference function
Parametric equations

Motion in two dimensions
Projectile motion
Vectors, graphical representation
Right angle trigonometry

Forces
Newton’s laws of motion
Applications
Inverse trigonometric functions
Polynomials > 2

Special forces
Air resistance
Newton’s law of universal gravitation
Exponential functions
Rational functions

Equilibrium of rigid bodies
Rotational motion and changes in rotational motion
Center of mass
Systems of equations
Matrices and determinants

Momentum
Change in linear momentum
Conservation of linear momentum
Change in angular momentum
Conservation of angular momentum
Moment of inertia
Vector Multiplication (dot and cross product)

Work-Energy
Mechanical forms of energy
Conservation of work-energy
Applications
More graphical analysis
Heat and thermodynamics
Absolute value function

Introduction to waves
Simple harmonic motion
Longitudinal waves
Transverse waves
Sound waves
Graphical representation of trigonometric functions
Inequalities
Logarithms
More inverse functions

7/30/99