Arithmetic
Arithmetic, An Individualized Approach can be used by students in need of a complete arithmetic course or for those with holes in their backgrounds that constantly interfere with progress in math courses beyond arithmetic. The instruction is complete with all topics thoroughly explained and numerous examples. Nevertheless, the presentation is for those beyond elementary school age. Adults, especially, will find the presentation at their maturity level. Each unit of material ends with an exercise specifically designed to evaluate the extent to which the objectives have been learned. The student is always informed of any skills that were not mastered.
Topics covered:
- whole numbers
- fractions
- decimals
- percents
- ratio and proportions
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Beginning Algebra
This is a first course in Algebra for those with no previous experience in the subject or those with a need for learning the subject properly from its beginnings. It is especially appropriate as an alternative option for college students facing remediation courses in mathematics because it contains the language, skills, and concepts to successfully advance to college mathematics. However, it is also appropriate as a home school course for High School Algebra I. Every objective is thoroughly explained and developed. Numerous examples illustrate concepts and procedures. Students are encouraged to work through partial examples. Each unit ends with an exercise specifically designed to evaluate the extent to which the objectives have been learned. The student is always informed of any skills that were not mastered.
Topics covered:
- operations with signed numbers
- rational numbers
- basic simplifications
- percents
- solving of linear equations with rational number solutions
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Elementary Algebra
Elementary Algebra, An Individualized Approach is a full instructional system for a second course in Algebra. It is designed for students in grades 8 and above with the knowledge contained in a Beginning Algebra course. Every objective is thoroughly explained and developed. Numerous examples illustrate concepts and procedures. Students are encouraged to work through partial examples. Each unit ends with an exercise specifically designed to evaluate the extent to which the objectives have been learned. The student is always informed of any skills that were not mastered.
Topics covered:
- integer exponents
- simultaneous equations solved by graphing, addition, or substitution
- adding, subtracting, multiplying and dividing polynomials
- factoring polynomials
- polynomial fractions
- quadratics equations
- irrational numbers
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Intermediate Algebra
This course assumes a degree of proficiency with Beginning and Elementary Algebra. Each new topic is introduced with a brief review of the needed knowledge from earlier courses, but the review is intended only as a refresher. Every objective is thoroughly explained and developed. Numerous examples illustrate concepts and procedures. Students are encouraged to work through partial examples. Each unit ends with an exercise specifically designed to evaluate the extent to which the objectives have been learned. The student is always informed of any skills that were not mastered.
Topics covered:
- simplifying radical expressions and fractions
- rational number exponents
- polynomials
- equation solving
- inequalities and absolute values
- linear functions
- quadratic functions and relations (the conics)
- systems of equations
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Trigonometry
Trigonometry, An Individualized Approach is an instruction system for a modern course in Trigonometry. It is designed for students who have successfully completed Beginning, Elementary, and Intermediate Algebra courses. The instruction emphasizes the Circular Functions. Other topics are developed from the basic six circular functions. Every objective in the course is thoroughly explained and developed. Numerous examples illustrate every concept and procedure. Student involvement is guaranteed as the presentation invites the student to work through partial examples. Each unit of material ends with an exercise specifically designed to evaluate the extent to which the objectives have been learned and encourage re-study of any skills that were not mastered.
Topics covered:
- the Wrapping Function
- the Circular Functions
- indentities
- inverses and equation solving
- triangle Trigonometry
- topics for Calculus
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PreCalculus
PreCalculus, An Individualized Approach is an instruction system for a students planning to enter a course in Calculus. It is designed for students who have successfully completed two years of Algebra and Trigonometry. The instruction emphasizes functions in a variety of circumstances. Every objective in the course is thoroughly explained and developed. Numerous examples illustrate every concept and procedure. Student involvement is guaranteed as the presentation invites the student to work through partial examples. Each unit of material ends with an exercise specifically designed to evaluate the extent to which the objectives have been learned and encourage re-study of any skills that were not mastered.
Topics covered:
- sets and the real Numbers
- equations and inequalities
- polynomials
- solving polynomial equations
- functions
- basic skills for graphing
- graphing polynomial and rational functions
- the conics
- exponentials and logarithm functions
- systems of equations
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Differential Calculus
Differential Calculus, An Individualized Approach teaches the basic concepts and skills of a first course in College Calculus. Enrolling students should have completed a course in Algebra that stresses functions and function notation because calculus itself requires them. In outcomes, this course prepares the student with the concepts, skills, and understandings of a traditional college first course in calculus. The emphasis in presenting all topics is an intuitive basis for the understanding of calculus and applying those understandings to a variety of everyday problems that depend upon calculus for their solutions. Exercises and Quizzes are designed for the student to monitor his/her own progress in the belief that wise behavior will always insure full understanding before continuing. The student is responsible for working at his/her own best pace to ensure complete learning.
Topics covered:
- functions
- limit of a function at a point
- finding derivatives
- applications of differential calculus