I added the inverse trigonometric functions to the BC flashcards for the derivative.
Month: August 2015
Taylor Series
I have added the general form of the Taylor Series to the BC flashcard page on series. I have also removed the sidebars for the sake or readability.
Derivative of Exponential Function and Natural Logarithm
The derivatives of the exponential function and the natural logarithm have been added to the set of BC flashcards on the derivatives page.
Organizing Flashcards
I took a few moments to organize the BC flashcards into a more hierarchical set of subpages. I hope this will make it easier to find specific information as one needs it.
Maclaurin Series - Cosine
I have now added the Maclaurin Series for to the BC Flashcard page.
Derivatives of Secondary Trigonometric Function
I have just added the derivatives of the cosecant, secant, and cotangent functions to the BC Calculus flashcard page.
Derivatives of Basic Trigonometric Function
I have added the derivatives of the basic trigonometric functions: sine, cosine, and tangent to the BC flashcard page.
Open Vs. Proprietary
A valid question is: "Why both Use Math! and Moodle?" The simple answer is that the work of mathematics, science, computer science, and technology need to be shared and accessible.
Moodle, an "open source" piece of software is ultimately designed to be an educational management system. Our use of Moodle at Garrison Forest by design and by necessity is a "closed" reality. Access to our work there is gained through username and password combination. The contents can not be "seen" by individuals not in our community. The upside of this is that the system can maintain the privacy of members of our community. Specifically, this allows us to communicate about coursework without compromising the personally identifiable information of our students. It is appropriate for a school to protect this privacy. Moodle will do this well.
Yet, we are a school that have the privilege of having time and resources to study. Specifically, in my classes students study mathematics. As we develop resources for study, and make discoveries we have AN OBLIGATION to share those with others engaged in this study. We need an avenue to communicate with the community of mathematicians and mathematical students at large. We need to have, so to speak, "a public space". This is the point of Use Math! This is where we share what we learn and our resources and where the world can communicate with us about this. No where in this page will personal information be shared or personal images. However, this is where we live up to our obligation to share and collaborate with others.
Much in this course will be duplicated on Moodle and on Use Math!. The point of that is making sure that there is ease of access of the student in the course. Student have access to both places and should not be burdened in having to leave one space to go to another to find the resource they are seeking. However, what can be shared publicly should be and will.
Maclaurin Series
I have added a few more items to the "flash card" page for BC Calculus, namely material relating to the Maclaurin Series.
BC Flash Cards
As I am working my way through BC content and I come across material that needs to become "ready-recall" information for the BC exam I will be posting it on the page called BC Calculus Flash Card Items. I will try my best to keep this as an organized page in a logical order. Please check back often for new additions to this page. Tonight I have added the formulas relevant to finding the sum of finite and infinite geometric series.