Table of contents

Calculus and Engineering Mathematics

From functions and limits to differential equations, transforms, vector calculus, and numerical methods for engineering practice

Read each section in order. Every title can be opened as a TheoryTrace document.

• Cover
• Copyright
• How to read this book
• Introduction
• Chapter 1: Functions, Models, and Mathematical Language
• Chapter 2: Limits, Continuity, and Local Behavior
• Chapter 3: Derivatives and Rates of Change
• Chapter 4: Applications of Differentiation
• Chapter 5: Integration and Accumulation
• Chapter 6: Techniques of Integration
• Chapter 7: Infinite Series and Approximation
• Chapter 8: Complex Numbers and Engineering Functions
• Chapter 9: Vectors, Matrices, and Linear Systems
• Chapter 10: Eigenvalues, Eigenvectors, and Linear Transformations
• Chapter 11: Multivariable Functions and Partial Derivatives
• Chapter 12: Optimization in Several Variables
• Chapter 13: Multiple Integrals and Change of Variables
• Chapter 14: Vector Fields and Line Integrals
• Chapter 15: Surface Integrals and Integral Theorems
• Chapter 16: First-Order Differential Equations
• Chapter 17: Second-Order Linear Differential Equations
• Chapter 18: Systems of Differential Equations and Stability
• Chapter 19: Laplace Transforms and Transfer Functions
• Chapter 20: Fourier Series and Frequency-Domain Thinking
• Chapter 21: Fourier Transforms and Partial Differential Equations
• Chapter 22: Numerical Methods for Engineering Mathematics
• Chapter 23: Probability, Statistics, and Uncertainty for Engineers
• Chapter 24: Integrated Engineering Modeling Projects
• Conclusion