Calendar Description: This course continues calculus concepts from APSC 171, including space curves, speed, and velocity. Functions of several variables, partial derivatives, differentials, error estimates, gradient, maxima and minima. Double and triple integrals, polar and cylindrical coordinates; applications to mass, center of mass, moment. Series, power series; Taylor polynomial approximations, error analysis.
The workbook used in lectures is copyright Peter Taylor, Queen’s University Department of Mathematics and Statistics; used with permission.
Videos are lecture-capture videos from Winter 2023 or Winter 2024.
Week 1 – Parameterized Lines and Curves, Planes, Reflection in a Plane
| Notes | Lecture 1 | Lecture 2 | Lecture 3 |
| Full week notes (PDF) | Recording failed. No video available | Recording failed. No video available. | Week 1 Lec 3 – Sec 102 [Note: audio is there, but faint] |
Week 1 Practice Problems: Questions, Solutions
Week 2 – Surfaces, Contour Diagrams, Partial Derivatives
| Notes | Lecture 1 | Lecture 2 | Lecture 3 |
| Full week notes (PDF) | Week 2 Lec 1 – Sec 101 | Week 2 Lec 2 – Sec 101 | Week 2 Lec 3 – Sec 101 |
Week 2 Practice Problems: Questions, Solutions
Week 3 – Tangent Planes, Chain Rule, Linear Approximation
| Notes | Lecture 1 | Lecture 2 | Lecture 3 |
| Full week notes (PDF) | Week 3 Lec 1 – Sec 101 | Week 3 Lec 2 – Sec 101 | Week 3 Lec 3 – Sec 101 |
Week 3 Practice Problems: Questions, Solutions
Week 4 – Gradient and Slope
| Notes | Lecture 1 | Lecture 2 | Lecture 3 |
| Full week notes (PDF) | Week 4 Lec 1 – Sec 102 | Week 4 Lec 2 – Sec 102 | Week 4 Lec 3 – Sec 102 |
Week 4 Practice Problems: Questions, Solutions
Week 5 – Optimization: Max and Min
| Notes | Lecture 1 | Lecture 2 | Lecture 3 |
| Full week notes (PDF) | Week 5 Lec 1 – Sec 101 | Week 5 Lec 2 – Sec 101 | Week 5 Lec 3 – Sec 101 |
Week 5 Practice Problems: Questions, Solutions
Week 6 – The Parent Game, Cone Mountain
| Notes | Lecture 1 | Lecture 2 | Lecture 3 |
| Full week notes (PDF) | Week 6 Lec 1 – Sec 102 | Week 6 Lec 2 – Sec 101 | No lecture |
Week 7 – Infinite Series, Alternating Series, Power Series
| Notes | Lecture 1 | Lecture 2 | Lecture 3 |
| Full week notes (PDF) | Week 7 Lec 1 – Sec 102 | Week 7 Lec 2 – Sec 102 | Week 7 Lec 3 – Sec 102 |
Week 7 Practice Problems: Questions, Solutions
Week 8 – Taylor series, Maclaurin series, Taylor’s Inequality
| Notes | Lecture 1 | Lecture 2 | Lecture 3 |
| Full week notes (PDF) | Week 8 Lec 1 – Sec 101 | Week 8 Lec 2 – Sec 101 | Week 8 Lec 3 – Sec 101 |
Week 8 Practice Problems: Questions, Solutions
Week 9 – Double Integrals, Iterated Integrals
| Notes | Lecture 1 | Lecture 2 | Lecture 3 |
| Full week notes (PDF) | Week 9 Lec 1 – Sec 101 | Week 9 Lec 2 – Sec 101 | Week 9 Lec 3 – Sec 101 |
Week 9 Practice Problems: Questions, Solutions
Week 10 – Integration with Polar Coordinates, Centre of Mass
| Notes | Lecture 1 | Lecture 2 | Lecture 3 |
| Full week notes (PDF) | Week 10 Lec 1 – Sec 101 | Week 10 Lec 2 – Sec 101 | Week 10 Lec 3 – Sec 101 |
Week 10 Practice Problems: Questions, Solutions
Week 11 – Triple Integrals
| Notes | Lecture 1 | Lecture 2 | Lecture 3 |
| Full week notes (PDF) | Week 11 Lec 1 – Sec 101 | Week 11 Lec 2 – Sec 101 | Week 11 Lec 3 – Sec 101 |
Week 11 Practice Problems: Questions, Solutions
Week 12 – Review
No recordings posted.