Introduction to College Mathematics with A Programming Language

1. Front Matter

   Pages i-xii

   PDF

2. Set theory

   • Edward J. LeCuyer Jr.

   Pages 1-24

3. Logic

   • Edward J. LeCuyer Jr.

   Pages 25-44

4. Vectors and matrices

   • Edward J. LeCuyer Jr.

   Pages 45-70

5. Systems of linear equations

   • Edward J. LeCuyer Jr.

   Pages 71-102

6. Determinants

   • Edward J. LeCuyer Jr.

   Pages 103-124

7. Functions and graphing

   • Edward J. LeCuyer Jr.

   Pages 125-176

8. Exponential and logarithmic functions

   • Edward J. LeCuyer Jr.

   Pages 177-198

9. Differential calculus

   • Edward J. LeCuyer Jr.

   Pages 199-241

10. Integral calculus

    • Edward J. LeCuyer Jr.

    Pages 242-271

11. Probability

    • Edward J. LeCuyer Jr.

    Pages 272-302

12. Statistics

    • Edward J. LeCuyer Jr.

    Pages 303-329

13. The trigonometric functions

    • Edward J. LeCuyer Jr.

    Pages 330-362

14. Back Matter

    Pages 363-420

    PDF

The topics covered in this text are those usually covered in a full year's course in finite mathematics or mathematics for liberal arts students. They correspond very closely to the topics I have taught at Western New England College to freshmen business and liberal arts students. They include set theory, logic, matrices and determinants, functions and graph­ ing, basic differential and integral calculus, probability and statistics, and trigonometry. Because this is an introductory text, none of these topics is dealt with in great depth. The idea is to introduce the student to some of the basic concepts in mathematics along with some of their applications. I believe that this text is self-contained and can be used successfully by any college student who has completed at least two years of high school mathematics including one year of algebra. In addition, no previous knowledge of any programming language is necessary. The distinguishing feature of this text is that the student is given the opportunity to learn the mathematical concepts via A Programming Lan­ guage (APL). APL was developed by Kenneth E. Iverson while he was at Harvard University and was presented in a book by Dr. Iverson entitled A i Programming Language in 1962. He invented APL for educational purpo­ ses. That is, APL was designed to be a consistent, unambiguous, and powerful notation for communicating mathematical ideas. In 1966, APL became available on a time-sharing system at IBM.

• APL
• Algebra
• Finite
• Mathematics
• Mathematik
• Maxima
• calculus
• equation
• function
• limit of a function
• theorem

• Department of Mathematics, Western New England College, Springfield, USA

  Edward J. LeCuyer

Policies and ethics