Calculus for Engineering II
Edition: 2
Copyright: 2017
Pages: 368
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$78.00 USD
This textbook covers advanced calculus topics including techniques of integration such as integration by parts, trigonometric identities, partial fractions, and numerical methods, along with applications like arc length, surface area, centroids, and hydrostatic force. It also includes differential equations (separable, exponential growth, logistic models, Euler’s method, and first-order linear equations), polar coordinates and areas, vector analysis, sequences and series with convergence tests and Taylor series, and an introduction to three-dimensional vectors and motion in space.
Chapter 1: Review of Substitution
Chapter 2: Integration by Parts
Chapter 3: Integration Using Trigonometric Identities
Chapter 4: Integration Using Partial Fractions
Chapter 5: Substitution in Definite Integrals
Chapter 6: Numerical Integration
Chapter 7: Improper Integrals
Chapter 8: Are Length and Surface Area
Chapter 9: First Moments and Centroids
Chapter 10: Hydrostatic Force
Chapter 11: Variables Separable
Chapter 12: Exponential Growth
Chapter 13: The Logistic Equation
Chapter 14: Euler’s Method
Chapter 15: First Order Linear Differential Equations
Chapter 16: Polar Coordinates
Chapter 17: Graphing Polar Equations
Chapter 18: Area of Simple Polar Regions
Chapter 19: Area Between Polar Curves
Chapter 20: Introduction to Vectors
Chapter 21: Addition to Vectors
Chapter 22: The Dot Product
Chapter 23: The Position Vector and Lines
Chapter 24: Calculus of Vector Functions
Chapter 25: Velocity and Acceleration
Chapter 26: Limits of Sequences
Chapter 27: Finite Arithmetic and Geometric Series
Chapter 28: Definition of Infinite Series
Chapter 29: The Comparison Test
Chapter 30: Alternating Series
Chapter 31: Ratio Test
Chapter 32: Power Series
Chapter 33: Taylor’s Series and Polynomials
Chapter 34: Applications of Taylor Polynomials
Chapter 35: Manipulating Power Series
Chapter 36: Vectors in Three Space
Chapter 37: Dot Product in Space
Chapter 38: Cross Product
Chapter 39: Three Dimensional Position Vector
Chapter 40: Vector Calculus in Three Space
Chapter 41: Velocity in Three Dimensions
Chester Miracle is Associate Professor Emeritus in the School of Mathematics. His academic career focused on mathematics education and harmonic analysis, with scholarly interests that connect mathematical theory and instructional practice.