# Mathematics for the Natural Sciences

Fall 2019

Instr: |
Dr. Roger Griffiths |

Office: |
Old Main 305 |

Phone: |
824-2123 |

Email: |
rgriffiths@mercyhurst.edu |

Text: |
Precalculus Essentials (5th Edition),
by Robert Blitzer; |

## Notes (Fall 2022):

The text book above is correct for this semester (Fall 2022).

### Let's begin by keeping our eye on the BIG PICTURE

In a recent article by IIya Pozin he discussed "Simply having a college degree will not get you hired. We need to break away from this idea. In all reality, most employers could care less about your GPA or where you went to school." He goes on to make the following points:

- Your degree isn’t a golden ticket.
- It’s all about experience.
- Passion will help you succeed.
- Companies hire the person who is certain to cause the most positive impact.
- Go the extra mile.

Many managers agree that *what make people successful are their motivation, drive, and ability to learn from mistakes, and how hard they work*.

### Several On-line Algebra Resources

- A good Algebra Resource Algebra in 10 lessons by D.P. Story
- Video lectures of (basic) mathematics YAY Math.org
- Paul's Online Math Notes: Algebra Notes
- Paul's Cheat Sheets - from algebra to Calculus

#### Why understanding mathematics is essential:

If one does not understand or refuses to deal with mathematics, one has fatally impaired one’s ability
to comprehend the natural sciences, because not only are the ideas of the natural sciences expressed in
mathematical form, but also the relationships among those ideas are established with mathematical
reasoning.

It's Time To Start...Ready...Go!

Still not convinced? . . . OK, your goal here is not just to get through this mathematics course, or even just to get a 'good' grade in this class. You are not in college just to get 'mostly good' grades, your goal is to further your education and hopefully to become successful after you graduate college? If you are still reading this paragraph then you should listen to someone else, someone famous on TV, tell you things that I tell you in class; watch this short (~3 min) video of Neil deGrasse Tyson (noted American astrophysicist) being interviewed on CNN.

Winplot for Windows This
is a great -FREE- math plotting utility. It compact and very easy to use.

Or simply use Wolfram Alpha

### Several On-line Algebra Resources

- Video lectures of mathematics YAY Math.org - very thorough coverage of Algebra concepts.
- Algebra in 10 lessons by D.P. Story

## ACTION ITEMS:

### Bad Habits You Must Eliminate from Your Daily Routine

You are the sum of your habits. When you allow bad habits to take over, they dramatically impede your
path to success. The challenge is bad habits are insidious, creeping up on you slowly until you don’t
even notice the damage they’re causing.

READ MORE > > > (by Dr. Travis Bradberry)

### Quit Saying 'I'm Just Not a Math Person'

It started with a fairly simple problem. The class of elementary education majors were looking at energy and efficiency. This course is specifically designed to help these students get a basic understanding of the nature of science > > > READ MORE > > > (Quit Saying 'I'm Just Not a Math Person')

Free software is simply software that respects our freedom — our freedom to learn and understand the software we are using. Free software is designed to free the user from restrictions put in place by proprietary software, and so using free software lets you join a global community of people who are making the political and ethical assertion of our rights to learn and to share what we learn with others.

### What is all this "open-source"/"Free software"?

**Education:**"Give a man a fish and you feed him for a day. Teach him how to fish and you feed him for a lifetime." READ ON- Schools have a social mission: to teach students to be citizens of a strong, capable, independent, cooperating and free society. Read more > > > Why Schools Should Exclusively Use Free Software
- Free software is a matter of liberty, not price The Free
Software Foundation (FSF) OR

The Free Software Definition GNU.org- The Free Software Definition

## Software - Open Source

(Free Software generally under the terms of the Free Software Foundation's GNU General Public License)- - An introduction to Linux from Opensource.com
- - LibreOffice is the free power-packed Open Source personal productivity suite for Windows, Macintosh and Linux, that gives you six feature-rich applications for all your document production and data processing needs: Writer, Calc, Impress, Draw, Math and Base. Compatible with all other major office suites, the product is free to download, use, and distribute (and much better than that expensive virus you are probably currently using).
- - GIMP is an acronym for GNU Image Manipulation Program. It is a freely distributed program for such tasks as photo retouching, image composition and image authoring.
- The R Project for Statistical Computing - R is a free software environment for statistical computing and graphics.
- XPPAUT a tool for numerically solving differential, difference, or delay equations
- Maxima - a sophisticated computer algebra system
- Octave is a high-level language, primarily intended for numerical computations (similar to Matlab).
- Iode - free, but you will need Octave (see link below) or Matlab to use (phase plane utility).
- SAGE: Open Source Mathematics Software - Creating a viable free open source alternative to Magma, Maple, Mathematica, and Matlab

## Linux/GNOME users:

The problems with GNOME 3 are not as bad everyone is saying. Sure GNOME 3 itself is ...hmmm, well as Linux daddy Linus Torvalds says "GNOME 3 is an unholy mess", but the Xfce graphical desktop environment is a decent replacement for GNOME 2, so problem largely solved.

### Patent Absurdity

A documentary film "Patent Absurdity" is set to expose how the judicial activism that led to the patenting of software has broken the US patent system's promise of promoting the progress of science and useful arts. This has ramifications for students, in the harm being done to software developers and the wider economy.

## Links:

My personal homepage

Department of Mathematics and Information Technology at Mercyhurst University

## Software - Open Source

(Free Software generally under the terms of the Free Software Foundation's GNU General Public License)- - An introduction to Linux from Opensource.com
- - LibreOffice is the free power-packed Open Source personal productivity suite for Windows, Macintosh and Linux, that gives you six feature-rich applications for all your document production and data processing needs: Writer, Calc, Impress, Draw, Math and Base. Compatible with all other major office suites, the product is free to download, use, and distribute (and much better than that expensive virus you are probably currently using).
- - GIMP is an acronym for GNU Image Manipulation Program. It is a freely distributed program for such tasks as photo retouching, image composition and image authoring.
- The R Project for Statistical Computing - R is a free software environment for statistical computing and graphics.
- XPPAUT a tool for numerically solving differential, difference, or delay equations
- Maxima - a sophisticated computer algebra system
- Octave is a high-level language, primarily intended for numerical computations (similar to Matlab).
- Iode - free, but you will need Octave (see link below) or Matlab to use (phase plane utility).
- SAGE: Open Source Mathematics Software - Creating a viable free open source alternative to Magma, Maple, Mathematica, and Matlab