Goals and objectives | Course Outcomes | |
---|---|---|
1. | The students can use dot product and cross product of vectors to express lines and planes. |
A-1
|
2. | The students can compute partial derivatives of various functions using the chain rule and use them to describe tangent lines and to compute maximum and minimum values of a given function. |
A-1
|
3. | The students can compute double & triple integrals of various functions and use them to compute the volume of solids. |
A-1
|
4. | The students can compute line & surface integrals of simple functions and use them to understand Green's Theorem, Stokes' Theorem, and Divergence Theorem. |
A-1
|
Class schedule | HW assignments (Including preparation and review of the class.) | Amount of Time Required | |
---|---|---|---|
1. | Guidance 3d Coordinates Vectors Dot Product Conic Sections in Polar Coordinates |
Read the lecture notes and work on exercises (Content is 10.6, 12.1-12.3 in the textbook) |
160分 |
Work on homework | 220分 | ||
2. | Cross Product Equations of Lines and Planes |
Read the lecture notes and work on exercises (Content is 12.4-12.5 in the textbook) |
120分 |
Work on homework | 260分 | ||
3. | Parametric Equations and Vector Functions Derivatives and Integrals of Vector Functions Velocity and Acceleration |
Read the lecture notes and work on exercises (Content is 13.1, 13.2, 13.4 in the textbook) |
120分 |
Work on homework | 260分 | ||
4. | Functions of Several Variables Limits and Continuity Partial Derivatives |
Read the lecture notes and work on exercises (Content is 14.1-14.3 in the textbook) |
140分 |
Work on homework | 240分 | ||
5. | Tangent Planes and Linear Approximations The Chain Rule Directional Derivatives and the Gradient Vector |
Read the lecture notes and work on exercises (Content is 14.4-14.6 in the textbook) |
140分 |
Work on homework | 240分 | ||
6. | Maximum and Minimum Values Lagrange Multipliers |
Read the lecture notes and work on exercises (Content is 14.7-14.8 in the textbook) |
120分 |
Work on homework | 260分 | ||
7. | Mid-term exam and discussions on the solutions afterwards | Preparation for mid-term | 380分 |
8. | Double Integrals Double Integrals in Polar Coordinates Applications of Double Integrals |
Read the lecture notes and work on exercises (Content is 15.1-15.4 in the textbook) |
180分 |
Work on homework | 200分 | ||
9. | Triple Integrals Triple Integrals in Cylindrical and Spherical Coordinates |
Read the lecture notes and work on exercises (Content is 15.6-15.8 in the textbook) |
120分 |
Work on exercises | 260分 | ||
10. | Vector Fields Line Integrals The fundamental Theorem of Line Integrals Green’s Theorem |
Read the lecture notes and work on exercises (Content is 16.1-16.4 in the textbook) |
160分 |
Work on homework | 220分 | ||
11. | Curl and Divergence Parametric Surfaces Surface Areas and Surface Integrals |
Read the lecture notes and work on exercises (Content is 16.5-16.7 in the textbook) |
160分 |
Work on homework | 220分 | ||
12. | Stokes’ Theorem Divergence Theorem |
Read the lecture notes and work on exercises (Content is 16.8-16.9 in the textbook) |
140分 |
Work on homework | 220分 | ||
13. | Reviews | Work on exercises | 120分 |
Work on homework | 260分 | ||
14. | Final exam and discussions on the solutions afterwards | Preparation for final | 380分 |
Total. | - | - | 5300分 |
Mid-term etc. | Final | Total. | |
---|---|---|---|
1. | 12% | 3% | 15% |
2. | 30% | 5% | 35% |
3. | 20% | 10% | 30% |
4. | 8% | 12% | 20% |
Total. | 70% | 30% | - |
Work experience | Work experience and relevance to the course content if applicable |
---|---|
N/A | N/A |