| Resource | Description | / |
|---|---|---|
| Textbook Required | CALCULUS EARLY TRANSCENDENTALS NINTH EDITION; JAMES STEWART, DANIEL CLEGG, SALEEM WATSON | / |
| Other Resources | Companion website, Internet search of periodicals. | / |
| Week | Topic | Chapters |
| 1 | Parametric Equations Curves Defined by Parametric Equations Calculus with Parametric Curves | 10 |
| 2 | Polar Coordinates Polar Coordinates Calculus in Polar Coordinates Conic Sections Conic Sections in Polar Coordinates | 10 |
| 3-4 | Vectors and the Geometry of Space Three-Dimensional Coordinate Systems Vectors The Dot Product The Cross Product Equations of Lines and Planes Cylinders and Quadric Surfaces | 12-13 |
| 5-6 | Limits and Derivatives The Tangent and Velocity Problems The Limit of a Function Calculating Limits Using the Limit Laws The Precise Definition of a Limit Continuity Limits at Infinity; Horizontal Asymptotes Derivatives and Rates of Change The Derivative as a Function | 2 |
| 7-8 | Partial Differentiation Functions of Several Variables Limits and Continuity Tangent Planes and Linear Approximations The Chain Rule Directional Derivatives and the Gradient Vector Maximum and Minimum Values Lagrange Multipliers | 14 |
| 8-9 | Midterm Revision Sessions | 10-14 |
| 10-11 | Multiple Integrals Double Integrals over Rectangles Double Integrals over General Regions Double Integrals in Polar Coordinates Applications of Double Integrals Surface Area Triple Integrals Triple Integrals in Cylindrical Coordinates Triple Integrals in Spherical Coordinates Change of Variables in Multiple Integrals | 15 |
| 12-13 | Vector Calculus Vector Fields Line Integrals The Fundamental Theorem for Line Integrals Green’s Theorem Curl and Divergence Parametric Surfaces and Their Areas Surface Integrals Stokes’ Theorem The Divergence Theorem | 16 |
| 14-15 | Question Papers and Concept Reinforcement | 11 |
| 16-17 | Final Exam Revision Sessions | 14-16 |