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Part 1 Ordinary Differential Equations
1 Introduction to Differential Equations
2.First-Order Differential Equations
3.Higher-Order Differential Equations
4.The Laplace Transform
5.Series Solutions of Linear Differential Equations
6.Numerical Solutions of Ordinary Differential Equations

Part 2 Vectors, Matrices, and Vector Calculus
7.Vector
8.Matrices
9.Vector Calculus

Part 3 Systems of Differential Equations
10.Systems of Linear Differential Equaqtions
11.Systems of Nonlinear Differential Equations

Part 4 Partial Differential Equations
12.Orthogonal Functions and Fourier Series
13.Boundary-Value Problems in Rectangular Coordinates
14.Boundary-Value Problems in Other Coordinate Systems
15.Integral Transform Method
16.Numerical Solutions of Partial Differential Equations

Part 5 Complex Analysis
17.Functions of a Complex Variable
18.Integration in the Conplex Plane
19.Series and Residues
20.Conformal Mappings

Modern and comprehensive, the new sixth edition of award-winning author, Dennis G. Zill s Advanced Engineering Mathematics is a compendium of topics that are most often covered in courses in engineering mathematics, and is extremely flexible to meet the unique needs of courses ranging from ordinary differential equations, to vector calculus, to partial differential equations. A key strength of this best-selling text is the author s emphasis on differential equations as mathematical models, discussing the constructs and pitfalls of each. An accessible writing style and robust pedagogical aids guide students through difficult concepts with thoughtful explanations, clear examples, interesting applications, and contributed project problems. Features & Benefits Enhanced Available with WebAssign Online Homework and Grading System, which includes thousands of new problems for this edition