ROWAN UNIVERSITY

ROWAN UNIVERSITY
Department of Mathematics

Syllabus
Inter 01.315 PATTERNS IN NATURE II: CALCULUS AND PHYSICS

Catalog Description

Inter 01.315 Patterns in Nature II: CALCULUS AND PHYSICS 4 s.h.

Prerequisites: Math 01.315 Patterns in Nature I

This course actively involves students in developing mathematics and science concepts associated with calculus and physics while de-emphasizing algorithms. Problems arise from physics and are analyzed using mathematical models. Graphing calculators, computers, and physical models are used extensively.

OBJECTIVES:

Students completing this course will be able to:

- use functions to model a variety of problem situations, investigating the properties of these functions through appropriate technologies, including graphing calculators;

- use physical models, charts, graphs, equations, and inequalities to describe real-world relationships;

- use graphs, diagrams, and physical models to interpret and relate the concepts of limit, differentiation, and integration;

- apply quantitative techniques to the analysis of problems involving motion and spectra.

CONTENT:

Functions as models; parameterization
Rates of change; motion
Gradients of curves and first principles
Polynomial approximations
Optimization
Velocity as a vector
Changes in motion
Force
Numerical integration
Algebraic integration
Volume & arc length
Projectiles as motion under a force
Projectiles and Force
Force as vectors
Circular motion
Rigid bodies
Work and energy
Scalar products
Potential energy
Modeling circular motion
Simple Harmonic Motion
Waves
Photons & photoelectric effect
Quantum Mechanics
Spectroscopy

TEXTS:

Five books from Cambridge University 16-19 Mathematics series:

NEWTON'S LAWS OF MOTION

MODELING WITH CIRCULAR MOTION

MODELING WITH FORCE AND MOTION

INTRODUCTORY CALCULUS

CALCULUS METHODS