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This tried-and-true text from Allyn Washington builds on the author's highly regarded approach to technical math, while enhancing its pedagogy with full-colour figures and boxes that warn students of Common Errors. Appropriate for a two- to three-semester course, Basic Technical Mathematics with Calculus shows how algebra, trigonometry and basic calculus are used on the job. It covers applications in a vast number of technical and pre-engineering fields, including statics, electronics, solar energy, laser fiber optics, acoustics, fluid mechanics, and the environment. Known for its exceptional problem sets and applied material, the book offers practice exercises, writing exercises, word problems and practice tests. The 11th Edition SI Version is enhanced with a mix of Canadian and global examples, a reorganized Statistics chapter and updated notation that reflects standard engineering practice in industry.
Basic Algebraic Operations
Geometry
Functions and Graphs
Trigonometric Functions
Systems of Linear Equations Determinants
Factoring and Fractions
Quadratic Functions
Trigonometric Functions of Any Angle
Vectors and Oblique Triangles
Graphs of Trigonometric Functions
Exponents and Radicals
Complex Numbers
Exponents and Logarithmic Functions
Additional Types of Equations and Systems of Equations
Equations of Higher Degree
Matrices Systems of Linear Equations
Inequalities
Variation
Sequences and The Binomial Theorem
Additional Topics in Trigonometry
Plane Analytic Geometry
Introduction to Statistics
The Derivative
Applications of the Derivative
Integration
Applications of Integration
Differentiation of Transcendental Functions
Methods of Integration
Partial Derivatives and Double Integrals
Expansion of Functions in Series
Differential Equations