1 Set theory. - 1. 1 Sets. - 1. 2 Operations with Sets. - 1. 3 A set theory drill and practice program (optional). - 1. 4 Boolean algebra. - 1. 5 The number of elements in a set. - 2 Logic. - 2. 1 Statements and logical operations. - 2. 2 Conditional statements. - 2. 3 Logical equivalence. - 2. 4 Arguments. - 3 Vectors and matrices. - 3. 1 Vectors. - 3. 2 Operations with vectors. - 3. 3 Matrices. - 3. 4 Operations with matrices. - 3. 5 Properties of matrices. - 4 Systems of linear equations. - 4. 1 Linear equations. - 4. 2 Two-by-two systems of linear equations. - 4. 3 Elementary row operations. - 4. 4 Larger systems of linear equations. - 4. 5 Row reduced form. - 4. 6 The inverse of a matrix. - 4. 7 Inverses in APL. - 4. 8 Applications. - 5 Determinants. - 5. 1 Definition of a determinant. - 5. 2 A Program for evaluation of determinants. - 5. 3 Cofactors. - 5. 4 Adjoints and inverses. - 5. 5 Cramer's rule. - 6 Functions and graphing. - 6. 1 Definition of a function. - 6. 2 Graphing. - 6. 3 Linear functions. - 6. 4 Quadratic functions. - 6. 5 Polynomials. - 6. 6 Rational functions. - 7 Exponential and logarithmic functions. - 7. 1 Exponential functions. - 7. 2 Applications of exponential functions. - 7. 3 Logarithmic functions. - 7. 4 Properties and applications of logarithms. - 8 Differential calculus. - 8. 1 The limit of a function. - 8. 2 Slope of a curve and the definition of derivative at a point. - 8. 3 Differentiating polynomials. - 8. 4 Applications of derivatives. - 8. 5 More rules of differentiation (optional). - 8. 6 Theory of maxima minima. - 8. 7 Applied maxima minima. - 8. 8 Curve sketching using derivatives. - 9 Integral calculus. - 9. 1 Antidifferentiation. - 9. 2 Some formulas for antidifferentiation. - 9. 3 Area under a curve. - 9. 4 The definite integral. - 9. 5 The fundamental theorem of calculus. - 9. 6 More applications of integration. - 10Probability. - 10. 1 Axioms of probability. - 10. 2 More rules of probability. - 10. 3 Permutations and combinations. - 10. 4 The hypergeometric distribution. - 10. 5 The binomial distribution. - 10. 6 The Poisson distribution. - 11 Statistics. - 11. 1 Random samples and frequency distributions. - 11. 2 Measures of central tendency. - 11. 3 Measures of dispersion. - 11. 4 The normal distribution. - 11. 5 The sampling distribution of the mean. - 12 The trigonometric functions. - 12. 1 Angles. - 12. 2 The trigonometric functions. - 12. 3 The trigonometric functions in APL. - 12. 4 Graphs of the trigonometric functions. - 12. 5 The inverse trigonometric functions. - 12. 6 Solving right triangles. - 12. 7 Solving oblique triangles. - A. 0 Using APL on a computer terminal. - A. 1 Introduction to APL. - A. 2 Program definition. - A. 3 Branching. - A. 4 Program revision and editing procedures. - A. 5 The trace command. - Solutions to exercises. - Program index. Language: English