授課老師：柯志斌教授
100學年度第2學期
授課老師：柯志斌教授
100學年度第2學期
| 週數 | 章節 | 影片連結 | 影片長度 | 上課日期 |
| 12 | 13-8-13-9 | 1010511-1.wmv 1010511-2.wmv | 00:41:11 01:00:23 | 101.5.11 |
| 13 | 14-1-14-6 | 00:47:21
00:48:32 00:36:45 00:52:24 |
101.5.15 101.5.18 |
101學年度第1學期
| 週數 | 章節 |
影片連結 |
影片長度 | 上課日期 |
| 1 | Introduction Four Types of functions |
1010917-1.wmv 1010917-2.wmv 1010921-1.wmv 1010921-2.wmv | 00:38:20 00:37:35 00:48:45 00:47:36 | 101.09.17 101.09.21 |
| 2 | Finding Limits Graphically and Numerically Evaluating Limits Analytically |
1010924-1.wmv 1010924-2.wmv 1010928-1.wmv 1010928-2.wmv | 00:43:28 00:45:33 00:50:40 00:52:19 | 101.09.24 101.09.28 |
| 3 | Continuity; One-sided Limits; Infinite Limits Derivative |
1011001-1.wmv 1011001-2.wmv 1011005-1.wmv 1011005-2.wmv | 00:52:42 00:48:05 00:45:00 00:48:20 | 101.10.01 101.10.05 |
| 4 | Basic Rules Chain Rule & Implicit Differentiation |
1011008-1.wmv 1011008-2.wmv 1011012-1.wmv 1011012-2.wmv | 00:45:02 00:47:51 00:47:48 00:46:56 | 101.10.08 101.10.12 |
| 5 | Related Rate & Mean Value Theorem 1st Derivative Test |
1011015-1.wmv 1011015-2.wmv 1011019-1.wmv 1011019-2.wmv | 00:45:34 00:45:34 00:50:06 00:37:08 | 101.10.15 101.10.19 |
| 6 | 2nd derivative Test & Limit at Infinity Sketch a graph |
1011022-1.wmv 1011022-2.wmv 1011026-1.wmv 1011026-2.wmv | 00:44:09 00:49:25 00:45:54 00:47:23 | 101.10.22 101.10.26 |
| 7 | Optimization & Newton's Method Differential & Anti-Derivative |
1011029-1.wmv 1011029-2.wmv 1011102-1.wmv 1011102-2.wmv | 00:43:37 00:45:46 00:52:00 00:50:04 | 101.10.29 101.11.02 |
| 8 | Indefinite Integral & Area Riemann Sum & Fundamental Theorem of Calculus |
1011105-1.wmv 1011105-2.wmv 1011109-1.wmv 1011109-2.wmv | 00:46:25 00:49:08 00:44:52 00:51:06 | 101.11.05 101.11.09 |
| 9 | The 2nd Fundamental Theorems&Substitution Numerical Integration |
1011112-1.wmv 1011112-2.wmv 1011116-1.wmv 1011116-2.wmv | 00:46:32 00:47:52 00:51:01 00:44:04 | 101.11.12 101.11.16 |
| 10 | Natural Logarithmic Functions & Its Derivative & Integral Inverse Functions & Natural Exponential Functions |
1011119-1.wmv 1011119-2.wmv 1011123-1.wmv 1011123-2.wmv | 00:46:17 00:45:11 00:44:49 00:47:37 | 101.11.19 101.11.23 |
|
11 |
Exponential &Logarithmic Functions to Base a Inverse Trigonometric & Its Derivatives |
1011126-1.wmv 1011126-2.wmv 1011130-1.wmv 1011130-2.wmv | 00:44:10 00:49:36 00:48:26 00:48:14 | 101.11.26 101.11.30 |
| 12 | Hyperbolic & Inverse Hyperbolic Functions Slope Fields & Euler's Method |
1011203-1.wmv 1011203-2.wmv 1011207-1.wmv 1011207-2.wmv | 00:46:11 00:49:17 00:50:00 00:44:31 | 101.12.03 101.12.07 |
| 13 | D E: Growth and Decay Separation of Variables & Logistic D. E. |
1011210-1.wmv 1011210-2.wmv 1011214-1.wmv 1011214-2.wmv | 00:46:51 00:43:50 00:39:00 00:47:45 | 101.12.10 101.12.14 |
| 14 | Area; Disk Method Shell Method, Arc Length & Work |
1011217-1.wmv 1011217-2.wmv 1011221-1.wmv 1011221-2.wmv | 00:50:24 00:47:21 00:46:13 00:36:44 | 101.12.17 101.12.21 |
| 15 | Centroid & Pressure Basic Integral Rules & Integration by Parts |
1011224-1.wmv 1011224-2.wmv 1011228-1.wmv 1011228-2.wmv | 00:50:07 00:50:13 00:46:57 00:46:30 | 101.12.24 101.12.28 |
| 16 | Trigonometric Integrals & Substitutions Partial Fractions |
1011222-1.wmv 1011222-2.wmv 1020104-1.wmv 1020104-2.wmv | 00:52:30 00:32:50 00:48:29 00:46:13 | 101.12.22 102.01.04 |
| 17 | Integration by Tables L'Hopital's Rule & Improper Integral |
1020107-1.wmv 1020107-2.wmv 1020111-1.wmv 1020111-2.wmv | 00:41:12 00:47:53 00:50:31 00:46:14 | 102.01.07 102.01.11 |
101學年度第2學期
週數 章節 影片連結 影片長度 上課日期 1 Seqauences
Series and Convergence
1020218-1.wmv
1020218-2.wmv
1020222-1.wmv
1020222-2.wmv00:35:12
00:47:41
00:55:27
00:45:05102.02.18
102.02.22
2 Alternating Serise
Ratio andRoot Tests
00:46:00
00:47:45
00:49:02
00:47:37102.02.25
102.03.01
3 Taylor Polynomials
Power Series
00:48:24
00:50:36
00:49:50
00:51:31102.03.04
102.03.08
4 Taylor Series
Conics
00:50:47
00:48:28
00:46:40
00:47:57102.03.11
102.03.15
5 Parametric Equations & its Calculus
Polar Graphs & Area, Arc Length
00:45:37
00:46:42
00:50:52
00:45:16102.03.18
102.03.22
6 Vectors in Plane
Vectors in Space
00:44:32
00:49:14
00:43:48
00:41:32102.03.25
102.03.29
7 Spring Break 1020415-1.wmv
1020415-2.wmv
1020419-1.wmv
1020419-2.wmv
1020419-3.wmv00:42:43
00:48:15
00:47:26
00:48:53
00:49:16102.04.15
102.04.19
8 Operations of Vector
Lines, Planes in Space
00:50:02
00:50:07
00:49:16
00:45:20102.04.22
102.04.26
9 Vector Functions & its Calculus
Tangrnt, Normal Vectors
00:43:27
00:50:26
00:49:04
00:47:36102.04.29
104.05.03
10 Vector Applications
Limit and Continuity of Type Ⅲ Functions
00:50:10
00:47:00
00:46:29
00:48:45102.05.06
102.05.10
11 Partial Derivatives
& Chain Rules
00:50:57
00:49:23
00:47:45
00:48:12102.05.13
102.05.17
12 Directional Derivatives & Gradients
Tangent Planes & Normal Lines
00:47:07
00:48:31
00:40:41
00:51:53102.05.20
102.05.24
13 Extrema and its Aoolications
Double Integrals
00:43:59
00:50:28
00:48:48
00:48:08102.05.27
102.05.31
14 Change of Variables & its Applications
Triple Integrals
00:51:14
00:51:16
00:49:31
00:50:58102.06.03
102.06.07
15 Jacobian
Vector Fields
00:48:46
00:51:07
00:56:34
00:35:54102.06.10
102.06.14
