## Here is how I get to my new online Calculus Textbook

## Here is your last instructors (C. Scott) tentative lesson plan calendar original goals that we plan on continuing for this course. Daily calendar of plans until the end of this course updated.

We will still follow your last instructors (C. Scott) Course Guide but I've made up a 2nd Course Guide with Additions.

## Common Syllabus for Math 111 (meaning all Math 111 classes must cover this material.)

## If you'd like to read my thoughts from my heart of why you should take Calculus please read my words of wisdom by clicking here.

AND/OR

## 10 Reasons, I found online to the question "Why learn Calculus:"

- Discipline: Calculus is
*hard*. It demands your attention if you want to succeed. You have to take notes, memorize trig identities, common derivatives, and be able to recognize what to do when faced with a problem. **If you didn't know how to study before learning calculus, you probably did afterwards. ** - Mental Exercise:
**Calculus is like cardio for your mind.** If you usually study history or literature, studying mathematics can be the change of pace your brain needs; after all, the brain thrives of diversity! Also learning a new skill is a great way of keeping your mind in shape. - Self-Assessment: Challenging yourself is one of the best ways to get to know yourself.
**Taking math up to calculus is a great way to know whether or not you'll be happy handling the hard stuff. From a college courses viewpoint, calculus opens up avenues of study that wouldn't be available otherwise. It gives you choices.** - Students who major in a subject may go into a field which requires knowledge of that course. Some fields require knowing about calculus; some don't.
**A broad knowledge allows students to enter a wider range of fields after college and to switch fields of employment later in life** - College isn't just for learning how to get a job. Subjects are interesting in and of themselves. Knowing something about the history of biology, the chemistry and physics of biology, and how biology underlies neurology, psychology, and human nature in general are all important.
**Calculus is how we understand changing quantities, and changing quantities appear in all these subjects.** Probability and statistics are also important because they are used in these subjects as well.

6. Mostly the use of calculus helps students with dynamic modeling and statistical modeling. You really need to know the basic concepts of calculus to understand statistics at the level of truly thinking about your data critically and not just applying tests haphazardly (you don't need to know how to do the calculations, **but you need to know enough calculus to tell the stats software what to calculate for you**).

7. Calculus was designed centuries ago, and it was aimed not at empowerment (at that time utterly impossible) but at familiarizing their audience with ideas and concepts and notations which allow understanding of more advanced work. Mathematicians and scientists and engineers use concepts of calculus in all sorts of contexts and use jargon and notations that, without your learning about calculus, would be completely inscrutable to you. **The study of calculus is normally aimed at giving you the "mathematical sophistication" to relate to such more advanced work.**

8. Well, calculus is not a just vocational training course. In part, students should study calculus for the same reasons that they study Darwin, Marx, Voltaire, or Dostoyevsky: These ideas are a basic part of our culture; these ideas have shaped how we perceive the world and how we perceive our place in the world. To understand how that is true of calculus, **we must put calculus into a historical perspective; we must contrast the world before calculus with the world after calculus**.

9. **The answer is that calculus holds the keys to the secrets of the universe****. If you don’t at least have an intuition for calculus, you’ll have a harder time building things that work (be they machines or organizations)**, and you’ll be prey to all kinds of crank theories.

**The amazing thing is, calculus works.** A couple of years ago, I found my kids busily engaged in a challenge, using a sheet of tinfoil of some fixed size to make a boat that would float as many marbles as possible. They’d managed to get 20 or 30 afloat so far. I surreptitiously went off and wrote down the equation for the volume of a rectangular prism, subject to the constraint that its area not exceed the size of the foil, and used calculus to maximize. They were flabbergasted when I managed to float over a hundred marbles on my first try.

10. Calculus is integration:

**Technically, integration is figuring out the area under curves (or surfaces, or along paths).** That’s of some interest if you need to figure out the volume of your elliptical kayak,** but the real application of interest is in dynamics – the study of how things change over time**. Dynamics is interesting because (a) lots of things change over time, and (b) our intuition about it sucks. In dynamics, integration is just the math behind accumulation – the way deficits build up in debt, CO2 builds up in the atmosphere, repeated small insults bring the anger of a sibling to the boiling point, or learning one thing enables learning more.

**A group of students in each of my pre-calc. classes chose to use pre-calc. and integration to calculate the volume of their mom's curved vase. **

Calculus is differentiation:

**Derivatives are about figuring out the slope or gradient of curves or surfaces. This is interesting because it lets you predict which way things will change** – if you drop a ball on a surface, which way will it roll? More importantly, you can use it to find points where things don’t change (the ball doesn’t roll), which means that you’ve reached a minimum or maximum. That’s handy to know if you want to maximize your bank balance, minimize your time in a 10k run, or fire a potato canon farther than ever before.

Other websites with reasons to love Calculus:

1. http://community.sparknotes.com/2011/11/29/7-reasons-to-love-calculus

2. http://ceadserv1.nku.edu/longa//classes/2001fall/mat120/10reasons.html

3. http://shell.cas.usf.edu/~mccolm/pedagogy/CalcAdvice.html

*hard*. It demands your attention if you want to succeed. You have to take notes, memorize trig identities, common derivatives, and be able to recognize what to do when faced with a problem.**If you didn't know how to study before learning calculus, you probably did afterwards.****Calculus is like cardio for your mind.**If you usually study history or literature, studying mathematics can be the change of pace your brain needs; after all, the brain thrives of diversity! Also learning a new skill is a great way of keeping your mind in shape.**Taking math up to calculus is a great way to know whether or not you'll be happy handling the hard stuff. From a college courses viewpoint, calculus opens up avenues of study that wouldn't be available otherwise. It gives you choices.****A broad knowledge allows students to enter a wider range of fields after college and to switch fields of employment later in life****Calculus is how we understand changing quantities, and changing quantities appear in all these subjects.**Probability and statistics are also important because they are used in these subjects as well.