Online Companion: Technical Mathematics with Calculus, 3e

Instructor Resource Guide

Each chapter of the Resource Guide contains objectives for the chapter, teaching hints, guidelines based on NCTM and AMATYC standards, and activities.

• Chapter 1 - The Real Number System
• Chapter 2 - Algebraic Concepts and Operations
• Chapter 3 - Geometry
• Chapter 4 - Functions and Graphs
• Chapter 5 - An Introduction to Trigonometry
• Chapter 6 - Systems of Linear Equations and Determinants
• Chapter 7 - Factoring and Algebraic Fractions
• Chapter 8 - Vectors and Trigonometric Functions
• Chapter 9 - Fractional and Quadratic Equations
• Chapter 10 - Graphs of Trigonometric Functions
• Chatper 11 - Exponents and Radicals
• Chapter 12 - Exponential and Logarithmic Functions
• Chapter 13 - Statistics and Empirical Methods
• Chapter 14 - Complex Numbers
• Chapter 15 - An Introduction to Plane Analytic Geometry
• Chapter 16 - Higher Degree Equations
• Chapter 17 - Systems of Equations and Inequalities
• Chapter 18 - Matrices
• Chapter 19 - Sequences, Series, and the Binomial Formula
• Chapter 20 - Trigonometric Formulas, Identities, and Equations
• Chapter 21 - An Introduction to Calculus
• Chapter 22 - The Derivative
• Chapter 23 - Applications of Derivatives
• Chapter 24 - Integration
• Chapter 25 - Applications of Integration
• Chapter 26 - Derivatives of Transcendental Functions
• Chapter 27 - Techniques of Integration
• Chapter 28 - Parametric Equations and Polar Coordinates
• Chapter 29 - Partial Derivatives and Multiple Integrals
• Chapter 30 - Infinite Series
• Chapter 31 - First-Order Differential Equations
• Chapter 32 - Higher-Order Differential Equations
• Chapter 33 - Numerical Methods and Laplace Transforms