#### Identifier

etd-07092009-093842

#### Degree

Master of Natural Sciences (MNS)

#### Department

Natural Sciences (Interdepartmental Program)

#### Document Type

Thesis

#### Abstract

In this thesis we approach the concept of Rate of Change as a mathematical model, and we apply it to a few physics problems. Its main goal is to help students to bridge concepts form mathematical models and the real life applications. We begin with a review of measurements, proportionality and similarity based on Euclidean geometry; then, we review linear and affine functions, and we introduce a mathematical model for the average and instantaneous rate of change. This mathematical model is applied to problems from physics following the four representations of functions: verbal, algebraic, tabular and graphical. By doing so, the main point is to show a unifying theme for mathematics and sciences, and the strong connections between the two. This thesis is intended to be a guide for teachers and students in Algebra and Calculus classes. The thesis consists of three main parts: a review of Euclidian geometry concepts and functions related to proportional reasoning, average rate of change and instantaneous rate of change with applications in physics problems.

#### Date

2009

#### Document Availability at the Time of Submission

Release the entire work immediately for access worldwide.

#### Recommended Citation

Ludu, Maria, "Rate of change with applications in physics problems" (2009). *LSU Master's Theses*. 2361.

https://repository.lsu.edu/gradschool_theses/2361

#### Committee Chair

James Madden

#### DOI

10.31390/gradschool_theses.2361