Math C280: Calculus III

Mathematics

Tác giả: Chau D. Tran
Nhà xuất bản: coastline
Nguồn: LibreTexts
Ngôn ngữ: EN
Danh mục: Khoa học cơ bản

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01: Vectors and the Geometry of Space
1.01: Vectors in the Plane
1.1E: Exercises for Vectors in the Plane
1.02: Vectors in Space
1.2E: Exercises for Vectors in Space
1.03: The Dot Product
1.3E: Exercises for The Dot Product
1.04: The Cross Product
1.4E: Exercises for The Cross Product
1.05: Equations of Lines and Planes in Space
1.5E: Exercises for Equations of Lines and Planes in Space
1.06: Quadric Surfaces
1.6E: Exercises for Quadric Surfaces
1.07: Cylindrical and Spherical Coordinates
1.7E: Exercises for Cylindrical and Spherical Coordinates
1.08: Chapter 11 Review Exercises
02: Vector-valued Functions
2.01: Vector-Valued Functions and Space Curves
2.1E: Exercises for Section 12.1
2.02: The Calculus of Vector-Valued Functions
2.2E: Exercises for Section 12.2
2.03: The Calculus of Vector-Valued Functions II
2.04: Motion in Space
2.4E: Exercises for Section 12.3
2.05: Arc Length and Curvature
2.5E: Exercises for Section 12.4
2.06: Acceleration and Kepler's Laws
2.6E: Exercises for Section 12.5
2.07: Review Exercises for Chapter 12
2.08: More Review Exercises for Chapter 12
03: Functions of Multiple Variables and Partial Derivatives
3.01: Introduction to Functions of Multiple Variables
3.02: Functions of Multiple Variables
3.2E: Functions of Multiple Variables (Exercises)
3.03: Limits and Continuity
3.3E: Exercises for Limits and Continuity
3.04: Partial Derivatives
3.4E: Partial Derivatives (Exercises)
3.05: Tangent Planes Linear Approximations and the Total Differential
3.5E: Tangent Planes Linear Approximations and the Total Differential (Exercises)
3.06: The Chain Rule for Functions of Multiple Variables
3.6E: The Chain Rule for Functions of Multiple Variables (Exercises)
3.07: Directional Derivatives and the Gradient
3.7E: Directional Derivatives and the Gradient (Exercises)
3.08: Taylor Polynomials of Functions of Two Variables
3.8E: Taylor Polynomials of Functions of Two Variables (Exercises)
3.09: Optimization of Functions of Several Variables
3.9E: Optimization of Functions of Several Variables (Exercises)
3.10: Constrained Optimization
3.10E: Optimization of Functions of Several Variables (Exercises)
3.11: Lagrange Multipliers
3.11E: Exercises for Lagrange Multipliers
3.12: Chapter 13 Review Exercises
04: Multiple Integration
4.01: Iterated Integrals and Area
4.1E: Iterated Integrals and Area (Exercises)
4.02: Double Integrals Over Rectangular Regions
4.2.01: Double Integrals Part 1 (Exercises)
4.03: Double Integrals Over General Regions
4.3.01: Double Integrals Part 2 (Exercises)
4.04: Double Integration with Polar Coordinates
4.4b: Double Integrals in Polar Coordinates
4.4E: Double Integrals in Polar Coordinates (Exercises)
4.05: Triple Integrals
4.5E: Triple Integrals (Exercises)
4.06: Triple Integrals in Cylindrical and Spherical Coordinates
4.6E: Exercises for Section 14.5
4.07: Calculating Centers of Mass and Moments of Inertia
4.7E: Exercises for Section 14.6
4.08: Change of Variables in Multiple Integrals (Jacobians)
4.8E: Exercises for Section 14.7
4.09: Review Exercises for Chapter 14
4.10: More Chapter 14 Review Exercises
05: Vector Fields Line Integrals and Vector Theorems
5.01: Introduction to Vector Field Chapter
5.02: Vector Fields
5.2E: Exercises for Section 15.1
5.03: Line Integrals
5.3.01: Line Integrals - Part 2
5.3E: Exercises for Section 15.2
5.04: Conservative Vector Fields
5.4E: Exercises for Section 15.3
5.05: Green's Theorem
5.5E: Exercises for Section 15.4
5.06: Divergence and Curl
5.6E: Divergence and Curl (Exercises)
5.07: Surface Integrals
5.7E: Exercises for Section 15.6
5.08: Stokes' Theorem
5.8E: Exercises for Section 15.7
5.09: The Divergence Theorem
5.9E: Exercises for Section 15.8
06: Appendices
6.01: Trigonometric Identities
6.02: Table of Derivatives
6.03: Table of Integrals
6.04: Table of Laplace Transforms