MTU Library Catalogue

Syndetics cover image
Image from Syndetics

Basic technical mathematics with calculus / Allyn J. Washington.

By: Washington, Allyn J.
Material type: materialTypeLabelBookPublisher: Reading, Mass. : Addison-Wesley Publishing Company, 1990Edition: 5th edition.Description: xviii, 997 p. : ill. (some col.) ; 25 cm.ISBN: 0805388893.Subject(s): MathematicsDDC classification: 510
Contents:
Fundamental concepts and operations -- Functions and graphs -- The trigonometric functions -- Systems of linear equations; determinants -- Factoring and fractions -- Quadratic equations -- Trigonometric functions of any angle -- Vectors and oblique triangles -- Graphs of the trigonometric functions -- Exponents and radicals -- Complex numbers -- Exponential and logarithmic functions -- Additional types of equations and systems of equations -- Equations of higher degree -- Determinants and matrices -- Inequalities -- Variation -- Sequences and the binomial theorem -- Additional topics in trigonometry -- Plane analytic geometry -- Introduction to statistics and empirical curve fitting -- The derivative -- Applications of the derivative -- Integration -- Applications of integration -- Differentiation of transcendental functions -- Methods of integration -- Expansion of functions in series -- Differential equations.
Holdings
Item type Current library Call number Copy number Status Barcode
General lending MTU Bishopstown Library Lending 510 (Browse shelf(Opens below)) 1 Available 00160373
Total holds: 0

Enhanced descriptions from Syndetics:

A textbook intended primarily for students in technical and pre- engineering technology programs or other programs for which coverage of basic mathematics is required. There is an integrated treatment of mathematical topics, from algebra to calculus, with numerous applications from many fields of technology to indicate where and how mathematical techniques are used. For this edition (fifth was 1990), most sections have been rewritten to some degree to include additional or revised explanatory material, examples, and exercises. Annotation copyright by Book News, Inc., Portland, OR

Includes index.

Fundamental concepts and operations -- Functions and graphs -- The trigonometric functions -- Systems of linear equations; determinants -- Factoring and fractions -- Quadratic equations -- Trigonometric functions of any angle -- Vectors and oblique triangles -- Graphs of the trigonometric functions -- Exponents and radicals -- Complex numbers -- Exponential and logarithmic functions -- Additional types of equations and systems of equations -- Equations of higher degree -- Determinants and matrices -- Inequalities -- Variation -- Sequences and the binomial theorem -- Additional topics in trigonometry -- Plane analytic geometry -- Introduction to statistics and empirical curve fitting -- The derivative -- Applications of the derivative -- Integration -- Applications of integration -- Differentiation of transcendental functions -- Methods of integration -- Expansion of functions in series -- Differential equations.

Table of contents provided by Syndetics

  • 1 Basic Algebraic Operations
  • Numbers
  • Fundamental Operations of Algebra
  • Calculators and Approximate Numbers
  • Exponents
  • Scientific Notation
  • Roots and Radicals
  • Addition and Subtraction of Algebraic Expressions
  • Multiplication of Algebraic Expressions
  • Division of Algebraic Expressions
  • Solving Equations
  • Formulas and Literal Equations
  • Applied Word Problems
  • Chapter Equations, Review Exercises, and Practice Test
  • 2 Geometry
  • Lines and Angles
  • Triangles
  • Quadrilaterals
  • Circles
  • Measurement of Irregular Areas
  • Solid Geometric Figures
  • 3 Functions and Graphs
  • Introduction to Functions
  • More About Functions
  • Rectangular Coordinates
  • The Graph of a Function
  • Graphs on the Graphing Calculator
  • Graphs of Functions Defined by Tables of Data
  • 4 The Trigonometric Functions
  • Angles
  • Defining the Trigonometric Functions
  • Values of the Trigonometric Functions
  • The Right Triangle
  • Applications of Right Triangles
  • 5 Systems of Linear Equations
  • Determinants
  • Linear Equations
  • Graphs of Linear Functions
  • Solving Systems of Two Linear Equations in Two Unknowns Graphically
  • Solving Systems of Two Linear Equations in Two Unknowns Algebraically
  • Solving Systems of Two Linear Equations in Two Unknowns by Determinants
  • Solving Systems of Three Linear Equations in Three Unknowns Algebraically
  • Solving Systems of Three Linear Equations in Three Unknowns by Determinants
  • 6 Factoring and Fractions
  • Special Products
  • Factoring: Common Factor and Difference of Squares
  • Factoring Trinomials
  • The Sum and Differences of Cubes
  • Equivalent Fractions
  • Multiplication and Division of Fractions
  • Addition and Subtraction of Fractions
  • Equations Involving Fractions
  • 7 Quadratic Equations
  • Quadratic Equations
  • Solution by Factoring
  • Completing the Square
  • The Quadratic Formula
  • The Graph of the Quadratic Function
  • 8 Trigonometric Functions of Any Angle
  • Signs of the Trigonometric Functions
  • Trigonometric Functions of Any Angle
  • Radians
  • Applications of Radian Measure
  • 9 Vectors and Oblique Triangles
  • Introduction to Vectors
  • Components of Vectors
  • Vector Addition by Components
  • Applications of Vectors
  • Oblique Triangles, the Law of Sines
  • The Law of Cosines
  • 10 Graphs of the Trigonometric Functions
  • Graphs of y = a sin x and y = a cos x
  • Graphs of y = a sin bx and y = a cos bx
  • Graphs of y = a sin(bx + c) and y = a cos(bx + c)
  • Graphs of y = tan x, y = cot x, y = sec x, y = csc x
  • Applications of the Trigonometric Graphs
  • Composite Trigonometric Curves
  • 11 Exponents and Radicals
  • Simplifying Expressions with Integral Exponents
  • Fractional Exponents
  • Simplest Radical Form
  • Addition and Subtraction of Radicals
  • Multiplication and Division of Radicals
  • Chapt