MATH 220 - Multivariable Calculus
Announcements
None at this time.
Homework Problems
Current, 12th edition of Multivariable Calculus by Larson and Edwards.
- List of recommended practice problems
- Textbook Exercises (17.3MB) - File is password protected. The password will be provided in class.
- CalcChat solutions to odd-numbered exercises from the textbook
- Student Solution Manual (7.5MB)
Assignments are due by the end of class on the due dates.
Assignment | Sections of Textbook | Due Date | |
Assignment 1 | Solutions | 11.1, 11.2, 11.3 | TBA |
Assignment 2 | Solutions | 11.4, 11.5, 11.6 | TBA |
Assignment 3 | Solutions | 11.7, 12.1, 12.2, 12.3 | TBA |
Assignment 4 | Solutions | 12.4, 12.5, 13.1, 13.2 | TBA |
Assignment 5 | Solutions | 13.3, 13.4, 13.5, 13.6 | TBA |
Assignment 6 | Solutions | 13.7, 13.8, 13.9, 13.10, MVTS* | TBA |
Assignment 7 | Solutions | 14.1, 14.2, 14.3, 14.4 | TBA |
Assignment 8 | Solutions | 14.5, 14.6, 14.7, 14.8 | TBA |
Assignment 9 | Solutions | 15.1, 15.2, 15.3, 15.4 | TBA |
Assignment 10 | Solutions | 15.5, 15.6, 15.7, 15.8 | TBA |
Term Tests
Test | Sections of Textbook | Test Date | Sample Tests |
Test 1 Solutions |
11.1 Vectors in the Plane 11.2 Space Coordinates and Vectors in Space 11.3 The Dot Product of Two Vectors 11.4 The Cross Product of Two Vectors in Space 11.5 Lines and Planes in Space 11.6 Surfaces in Space 11.7 Cylindrical and Spherical Coordinates 12.1 Vector-Valued Functions 12.2 Differentiation and Integration of Vector-Valued Functions 12.3 Velocity and Acceleration 12.4 Tangent Vectors and Normal Vectors 12.5 Arc Length and Curvature 13.1 Introduction to Functions of Several Variables 13.2 Limits and Continuity |
TBA | Sample Test 1Z Solutions |
Test 2 Solutions |
13.3 Partial Derivatives 13.4 Differentials 13.5 Chain Rules for Functions of Several Variables 13.6 Directional Derivatives and Gradients 13.7 Tangent Planes and Normal Lines 13.8 Extrema of Functions of Two Variables 13.9 Applications of Extrema 13.10 Lagrange Multipliers Multivariable Taylor Series (notes) 14.1 Iterated Integrals and Area in the Plane 14.2 Double Integrals and Volume 14.3 Change of Variables: Polar Coordinates 14.4 Center of Mass and Moments of Inertia 14.5 Surface Area 14.6 Triple Integrals and Applications 14.7 Triple Integrals in Other Coordinates 14.8 Change of Variables: Jacobians |
TBA | Sample Test 2Z Solutions |
Remaining Sections: 15.1 Vector Fields 15.2 Line Integrals 15.3 Conservative Vector Fields and Independence of Path 15.4 Green's Theorem 15.5 Parametric Surfaces 15.6 Surface Integrals 15.7 Divergence Theorem 15.8 Stokes's Theorem |
Final Exam
The MATH 220 final exam will be a comprehensive, three-hour exam and it will take place sometime during the final exam period.
You must write the final exam at the scheduled time as per Camosun College's policy on final examinations.
Miscellaneous Links
- Right Hand Rule Graphic of the Cross Product (sec 11.4)
- Geometric Interpretation of the Cross Product (sec 11.4)
- CalcPlot3D (for plotting 3D graphs)
Documents
- MATH 220 Course Outline for 2024F ("Official" syllabus is available for sec 001.)
- Properties of Vectors (sec 11.1-11.3)
- Cross Products (sec 11.4)
- Surfaces in Space (sec 11.6)
- Quadric Surfaces (sec 11.6)
- Cylindrical and Spherical Coordinates (sec 11.7)
- Derivative Properties of Vector-Valued Functions (sec 12.2)
- Velocity, Acceleration and Curvature (sec 12.3-12.5)
- Binormal Example (sec 12.5)
- Limits and Continuity (sec 13.2)
- Extrema (sec 13.8)
- Multivariable Taylor Series (notes) and Exercise Solutions
- Taylor Series
- Double Integrals (sec 14.2)
- Centers of Mass and Moments of Inertia Formulas (2D) (sec 14.4)
- Triple Integrals (sec 14.6)
- Centers of Mass and Moments of Inertia Formulas (3D) (sec 14.6)
- Jacobian for Rectangular-to-Spherical Coordinates (sec 14.8)
- Conservative Vector Fields (sec 15.3)
- Green's Theorem (sec 15.4)
- Flow Chart for Evaluating a Line Integral (sec 15.4)
- Divergence and Stokes's Theorems (sec 15.7-15.8)