Intermediate Calculus

Inhaltsverzeichnis

• 1 Analytic Geometry in Three Dimensions.
• 2 Vectors.
• 3 Infinite Series.
• 4 Partial Derivatives. Applications.
• 5 Multiple Integration.
• 6 Fourier Series.
• 7 Implicit Function Theorems. Jacobians.
• 8 Differentiation under the Integral Sign. Improper Integrals..
• 9 Vector Field Theory.
• 10 Green’s and Stokes’ Theorems.
• Appendix 1.
• Matrices and Determinants.
• 1. Matrices.
• 2. Matrices, Continued. Double Sums and Double Sequences.
• 3. Determinants.
• 4. Properties of Determinants.
• 5. Cramer’s Rule.
• 6. The Rank of a Matrix. Elementary Transformations.
• 7. General Linear Systems.
• Appendix 2.
• Proofs of Theorems 6, 10, 16, and 17 of Chapter 2.
• Appendix 3.
• to the Use of a Table of Integrals.
• A Short Table of Integrals.
• Answers to Odd-Numbered Problems.