PART 1: ORDINARY DIFFERENTIAL EQUATIONS
1. First-Order Differential Equations
2. Linear Second-Order Equations
3. The Laplace Transform
4. Series Solutions
PART 2: VECTORS, LINEAR ALGEBRA, AND SYSTEMS OF LINEAR DIFFERENTIAL
EQUATIONS
5. Algebra and Geometry of Vectors
6. Matrices and Systems of Linear Equations
7. Determinants
8. Eigenvalues and Diagonalization
9. Systems of Linear Differential Equations
PART 3: VECTOR ANALYSIS
10. Vector Differential Calculus
11. Vector Integral Calculus
PART 4: FOURIER ANALYSIS AND EIGENFUNCTION EXPANSIONS
12. Fourier Series
13. The Fourier Integral and Transforms
14. Eigenfunction Expansions
PART 5: PARTIAL DIFFERENTIAL EQUATIONS
15. The Wave Equation
16. The Heat Equation
17. The Potential Equation
APPENDIX A. GUIDE TO NOTATION
APPENDIX B. A MAPLE PRIMER
Served on the faculty at the University of Minnesota, The College of William and Mary in Virginia, where he was chairman of mathematics, and the University of Alabama at Birmingham, where he was chairman of mathematics, dean of natural sciences and mathematics, and university provost. Primary research interests are in graph theory, combinatorial analysis and applications of mathematics to problems in the physical and biological sciences and engineering.
PART 1: ORDINARY DIFFERENTIAL EQUATIONS 1. First-Order Differential Equations 2. Linear Second-Order Equations 3. The Laplace Transform 4. Series Solutions PART 2: VECTORS, LINEAR ALGEBRA, AND SYSTEMS OF LINEAR DIFFERENTIAL EQUATIONS 5. Algebra and Geometry of Vectors 6. Matrices and Systems of Linear Equations 7. Determinants 8. Eigenvalues and Diagonalization 9. Systems of Linear Differential Equations PART 3: VECTOR ANALYSIS 10. Vector Differential Calculus 11. Vector Integral Calculus PART 4: FOURIER ANALYSIS AND EIGENFUNCTION EXPANSIONS 12. Fourier Series 13. The Fourier Integral and Transforms 14. Eigenfunction Expansions PART 5: PARTIAL DIFFERENTIAL EQUATIONS 15. The Wave Equation 16. The Heat Equation 17. The Potential Equation APPENDIX A. GUIDE TO NOTATION APPENDIX B. A MAPLE PRIMER
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