|
週次 |
日期 |
單元主題 |
|
第1週 |
02/16 |
Differential equations (10.1, 10.3, 10.4) |
|
第1週 |
02/20 |
Differential equations (10.5, 10.2, 10.6) |
|
第2週 |
02/27 |
Exercise session, polar coordinates & calculus (11.3, 11.4) |
|
第2週 |
02/23 |
Parametric curves & calculus (11.1, 11.2) |
|
第3週 |
03/02 |
Quiz 1, sequences & series (12.1-12.2) |
|
第3週 |
03/06 |
Exercise session & series (12.2) |
|
第4週 |
03/09 |
Quiz 2, integral, comparison tests, alternating series, & convergence tests (12.3-12.6) |
|
第4週 |
03/13 |
Power series (12.8-12.9) |
|
第5週 |
03/20 |
Exercise session |
|
第5週 |
03/16 |
Taylor series (12.10) |
|
第6週 |
03/23 |
Quiz 3, Vectors, dot product, cross product, & equations of lines and planes (13.1-13.5), vector functions, space curves, & calculus of vector functions (14.1-14.3) |
|
第6週 |
03/27 |
functions of several variables, limits, continuity, partial derivatives, tangent planes, linear approximations, & chain rules (15.1-15.5) |
|
第7週 |
04/03 |
No class |
|
第7週 |
03/30 |
directional derivatives, gradient vector, &
extreme values (15.6, 15.7) |
|
第8週 |
04/06 |
Quiz 4. Lagrange multipliers (15.8) |
|
第8週 |
04/10 |
Review |
|
第9週 |
04/13 |
Midterm exam. (Chap. 10-Chap. 15.5) |
|
第9週 |
04/17 |
Double integrals, iterated integrals (16.1-16.3) |
|
第10週 |
04/24 |
Applications of double integrals (16.5) |
|
第10週 |
04/20 |
Double integrals in polar coordinates (16.4) |
|
第11週 |
05/01 |
Triple integrals in cylindrical coordinates(16.7) |
|
第11週 |
04/27 |
Triple integrals (16.6) |
|
第12週 |
05/08 |
Change of variables in multiple integrals (16.9) |
|
第12週 |
05/04 |
Quiz 5. Triple integrals in spherical coordinates (16.8) |
|
第13週 |
05/15 |
Line integrals & fundamental theorem for line integrals (17.2, 17.3) |
|
第13週 |
05/11 |
Quiz 6. Change of variables in multiple integrals
(16.9) |
|
第14週 |
05/22 |
Parametric surfaces & their areas (17.6) |
|
第14週 |
05/18 |
Green's theorem, curl, & divergence
(17.4, 17.5) |
|
第15週 |
05/29 |
No class |
|
第15週 |
05/25 |
Quiz 7. Surface integrals (17.7) |
|
第16週 |
06/05 |
Divergence theorem (17.9) |
|
第16週 |
06/01 |
Stokes Theorem (17.8) |
|
第17週 |
06/12 |
Review |
|
第17週 |
06/08 |
Quiz 8, divergence theorem (17.9) |
|
第18週 |
06/15 |
Final exam. (Sections 15.6-15.8, Chap. 16 & Chap. 17) |