Week 1
Day 1: Module 1 - Cylinders
Day 2: Module 2 - Quadric Surfaces
Day 3: Module 3 - Functions of Several Variables (Domain, Range, and Graph of Functions of Several Variables)
Day 4: Interaction based on the three modules covered
Day 5: Objective Assignment - Assignment 1
Week 2
Day 1: Module 4 - Graph, Level Curves, and Contour of Functions of More Than One Variable
Day 2: Module 5 - Level Curves and Contour Lines of Functions of Several Variables AND Limit Along Curves of Functions of Two Variables
Day 3: Module 6 - Limit and Continuity of Functions of Several Variables
Day 4: Interaction based on the three modules covered
Day 5: Descriptive Assignment - Assignment 2
Week 3
Day 1: Module 7 - Partial Differentiation
Day 2: Module 8 - Partial Differentiation of Higher Order
Day 3: Module 9 - Differentiability and Linearization of Functions of Two Variables
Day 4: Interaction based on the three modules covered
Day 5: Objective Assignment - Assignment 3
Week 4
Day 1: Module 10 - Total Differentials of Functions of Two Variables AND Differentiability, Linearization, and Total Differential of Functions of Three Variables
Day 2: Module 11 - Chain Rules for Functions of Several Variables
Day 3: Module 12 - Applications of the Chain Rule - Implicit Differentiation
Day 4: Discussion
Day 5: Descriptive Assignment - Assignment 4
Week 5
Day 1: Module 13 - Directional Derivative of Functions of Two Variables
Day 2: Module 14 - Directional Derivative of Functions of Three Variables
Day 3: Module 15 - Extreme Values of Functions of Several Variables and Saddle Points
Day 4: Interaction based on the three modules covered
Day 5: Objective Assignment - Assignment 5
Week 6
Day 1: Module 16 - Absolute Maxima and Minima on Closed Bounded Regions
Day 2: Module 17 - Lagrange Multipliers with One Constraint
Day 3: Module 18 - Lagrange Multipliers with Two Constraints
Day 4: Interaction based on the three modules covered
Day 5: Descriptive Assignment - Assignment 6
Week 7
Day 1: Module 19 - Double Integration over Rectangular Regions
Day 2: Module 20 - Double Integration in Non-Rectangular Regions
Day 3: Module 21 - Double Integrals by Reversing the Order of Integration and Area by Double Integrals
Day 4: Interaction based on the three modules covered
Day 5: Objective Assignment - Assignment 7
Week 8
Day 1: Module 22 - Double Integration in Polar Coordinates
Day 2: Module 23 - Triple Integration in Cartesian Coordinates, Triple Integrals over General Surfaces in Cartesian Coordinates AND Triple Integrals in Cartesian Coordinates (Changing the Order of Integration)
Day 3: Module 24 - Cartesian and Cylindrical Coordinate Systems
Day 4: Interaction based on the three modules covered
Day 5: Descriptive Assignment - Assignment 8
Week 9
Day 1: Module 25 - Spherical Coordinate System in Three Dimensional Space
Day 2: Module 26 - Triple Integrals in Cylindrical Coordinates
Day 3: Module 27 - Triple Integrals in Spherical Coordinates
Day 4: Interaction based on the three modules covered
Day 5: Objective Assignment - Assignment 9
Week 10
Day 1: Module 28 - Change of Variables in Double and Triple Integrals - Jacobians
Day 2: Module 29 - Arc Length - Arcs Given by Vector Valued Functions AND Arc Length Parameter, Speed, and Unit Tangent Vector
Day 3: Module 30 - Line Integrals - Integration Along Curves
Day 4: Interaction based on the three modules covered
Day 5: Descriptive Assignment - Assignment 10
Week 11
Day 1: Module 31 - Evaluation of Line Integrals
Day 2: Module 32 - Applications of Line Integrals - Finding Centre of Mass
Day 3: Module 33 - Vector Valued Functions, Vector Fields, Divergence, and Curl
Day 4: Interaction based on the three modules covered
Day 5: Objective Assignment - Assignment 11
Week 12
Day 1: Module 34 - Line Integral of Vector Valued Functions
Day 2: Module 35 - The Work Done by a Force Over a Curve in Space
Day 3: Module 36 - Path Independence of Line Integrals - Fundamental Theorem of Line Integrals
Day 4: Interaction based on the three modules covered
Day 5: Descriptive Assignment - Assignment 12
Week 13
Day 1: Module 37 - The Divergence of a Vector Field AND k-Component of Curl of a Vector Field
Day 2: Module 38 - Green’s Theorem - Normal Form
Day 3: Module 39 - Green’s Theorem - Tangential Form
Day 4: Interaction based on the three modules covered
Day 5: Objective Assignment - Assignment 13
Week 14
Day 1: Module 40 - Surface Area of Surfaces in Cartesian Form
Day 2: Module 41 - Surface Integrals when Surfaces are given by Cartesian Equations
Day 3: Module 42 - Orientation of Surfaces
Day 4: Interaction based on the three modules covered
Day 5: Descriptive Assignment - Assignment 14
Week 15
Day 1: Module 43 - Flux of a Vector Field through a Surface
Day 2: Module 44 - Parametrized Surfaces
Day 3: Module 45 - Surface Area of Parametrized Surfaces
Day 4: Module 46 - Surface Integral of Parametrized Surfaces
Day 5: Interaction based on the three modules covered
Day 6: Objective Assignment - Assignment 15
Week 16
Day 1: Module 47 - Stokes’ Theorem Part A
Day 2: Module 48 - Stokes’ Theorem Part B
Day 3: Module 49 - The Divergence Theorem of Gauss
Day 4: Module 50 - The Divergence Theorem for General Regions
Day 5: Interaction based on the three modules covered
Day 6: Descriptive Assignment - Assignment 16
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