Free Tools for Rational Education

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The following materials, all freely available to users, are intended to assist in self-study of challenging subjects, typically taught at the undergraduate college level or beyond. TRA provides these Free Tools for Rational Education to enable erudition to spread among willing individuals within and outside formal educational institutions. These tools can also be used as educational supplements to individuals enrolled in formal institutions and seeking to enhance their performance.They can aid in studying for exams, writing course papers, and improving one's knowledge of the subject matter.

Knowledgeable individuals from all disciplines are encouraged to submit study materials they have authored -- including notes, practice problems, and interactive websites -- to this directory. Send the URL to your study materials or send them as an attachment to gennadystolyarovii@yahoo.com.

Actuarial Science
Course  Level:  For students in college or practicing actuaries about to take the financial economics component of the third actuarial exam.

Answer Keys for Marcel B. Finan's A Probability Course for the Actuaries

The Actuary's Free Study Guide for Exam 3F / Exam MFE by G. Stolyarov II - 85 Sections and Auxiliary Materials 

The Actuary's Free Study Guide for Exam 3L by G. Stolyarov II - 77 Sections and Auxiliary Materials

The Actuary's Free Study Guide for Exam 4 / Exam C by G. Stolyarov II - 116 Sections and Auxiliary Materials

The Actuary's Free Study Guide for Exam 5 by G. Stolyarov II - 137 Sections and Auxiliary Materials

The Actuary's Free Study Guide for Exam 6 by G. Stolyarov II - 67 Sections and Auxiliary Materials

Free Study Materials for the Casualty Actuarial Society Exam 5B

Free Study Materials for the Casualty Actuarial Society Exam 7

Combinatorics
Course  Level:  
High school through graduate school.
Combinatorics Problems and Solutions by G. Stolyarov II - 5 Sections

Industrial Organization
Course  Level:  3rd-year  undergraduate college.
Industrial Organization Notes by G. Stolyarov II - 14 Sections

Intermediate Macroeconomics
Course  Level:  
3rd-year  undergraduate college.
Intermediate Macroeconomics Problems and Solutions by G. Stolyarov II - 14 Sections

Mathematical  Economics

Course  Level:  
4th-year  undergraduate college or graduate school. Mathematical Economics Problems and Solutions by G. Stolyarov II - 12 Sections

Public-Choice Economics
Course  Level:  
4th-year  undergraduate college or graduate school.
Free Study Guide on Public-Choice Economics
by G. Stolyarov II - 20 Sections

Symbolic Logic
Course  Level:  
3rd-year  undergraduate college.
Symbolic Logic Problems and Solutions by G. Stolyarov II - 2 Sections

Topology
Course  Level:
 4th-year  undergraduate college or graduate school.
Topology Problems and Solutions by G. Stolyarov II - 1 Section (Work in Progress)

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This TRA feature has been edited in accordance with TRA’s Statement of Policy.
Learn about Mr. Stolyarov's novel, Eden against the Colossus, here.

Read Mr. Stolyarov's new comprehensive treatise, A Rational Cosmology, explicating such terms as the universe, matter, space, time, sound, light, life, consciousness, and volition, here.

Read Mr. Stolyarov's new four-act play, Implied Consent, a futuristic intellectual drama on the sanctity of human life, here.

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