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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.
- Cover1
- Copyright2
- How to read this book3
- Introduction4
- Chapter 1: Functions, Models, and Mathematical Language5
- Chapter 2: Limits, Continuity, and Local Behavior6
- Chapter 3: Derivatives and Rates of Change7
- Chapter 4: Applications of Differentiation8
- Chapter 5: Integration and Accumulation9
- Chapter 6: Techniques of Integration10
- Chapter 7: Infinite Series and Approximation11
- Chapter 8: Complex Numbers and Engineering Functions12
- Chapter 9: Vectors, Matrices, and Linear Systems13
- Chapter 10: Eigenvalues, Eigenvectors, and Linear Transformations14
- Chapter 11: Multivariable Functions and Partial Derivatives15
- Chapter 12: Optimization in Several Variables16
- Chapter 13: Multiple Integrals and Change of Variables17
- Chapter 14: Vector Fields and Line Integrals18
- Chapter 15: Surface Integrals and Integral Theorems19
- Chapter 16: First-Order Differential Equations20
- Chapter 17: Second-Order Linear Differential Equations21
- Chapter 18: Systems of Differential Equations and Stability22
- Chapter 19: Laplace Transforms and Transfer Functions23
- Chapter 20: Fourier Series and Frequency-Domain Thinking24
- Chapter 21: Fourier Transforms and Partial Differential Equations25
- Chapter 22: Numerical Methods for Engineering Mathematics26
- Chapter 23: Probability, Statistics, and Uncertainty for Engineers27
- Chapter 24: Integrated Engineering Modeling Projects28
- Conclusion29