MATH 2415 - Calculus 3 (Fall 2024) |
Dallas College - Eastfield Campus |
Instructor: Dr. Timothy Lo |
Course Description |
Advanced topics in calculus, including vectors and vector-valued functions, partial differentiation, Lagrange multipliers, multiple integrals, and Jacobians; application of the line integral, including Green's Theorem, the Divergence Theorem, and Stokes' Theorem.
Note: The notes will be based on a different version of the textbook.
Textbook |
Calculus: Early Transcendentals 3rd Edition (Briggs) - Chapters 13-17
| This was last updated 9/13/2025. |
| Full Calculus 3 Notes |
Notes by Chapter |
| Chapter 1 - Vectors and the Geometry of Space (8/26/24 - 9/10/24) |
Three-Dimensional Coordinate Systems Vectors The Dot Product The Cross Product Equations of Lines & Planes Cylinders & Quadric Surfaces |
Notes |
| Chapter 2 - Vector-Valued Functions (9/11/24 - 9/23/24) |
Vector Functions and Space Curves Derivatives and Integrals of Vector Functions Arc Length and Curvature Motion in Space - Velocity & Acceleration |
Notes |
| Chapter 3 - Functions of Several Variables (9/24/24 - 10/16/24) |
Functions of Several Variables Limits & Continuity Partial Derivatives Tangent Planes and Linaer Approximations The Chain Rule Directional Derivatives and the Gradient Vector Maximum and Minimum Values Lagrange Multipliers |
Notes |
| Chapter 4 - Multiple Integration (10/17/24 - 11/11/24) |
Double Integrals over Rectangles Double Integrals over General Regions Double Integrals in Polar Coordinates Surface Area Triple Integrals Triple Integrals in Cylindrical Coordinates Triple Integrals in Spherical Coordinates Change of Variables in Multiple Integrals |
Notes |
| Chapter 5 - Vector Calculus (11/12/24 - 12/11/24) |
Vector Fields Line Integrals The Fundamental Theorem for Line Integrals Green's Theorem Curl & Divergence Surface Integrals Stokes' Theorem The Divergence Theorem |
Notes |
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