2005暑修下期微積分
課本: Calculus, 6th
edition, Edwards and Penney, Prentice Hall
上課時間:星期二及星期三8:10~12:00,
星期四9:10~
上課教室:一研002
授課教師:于昌永, 分機15123,
cyyu@pu.edu.tw
Office hours: 星期二及星期三2~4PM
理322A
預期進度及習題
|
日期 |
進度 |
習題 |
|
8/9 |
複習微分技巧, 5.2 Antiderivatives |
|
|
8/10 |
5.3
Area computation 5.4
Riemann sum and the integral |
|
|
8/11 |
小考1, 5.5
Evaluation of integrals |
|
|
8/16 |
5.6
Fundamental theorem of calculus 5.7
Integration by substitution |
|
|
8/17 |
5.8
Areas of plane regions |
|
|
8/18 |
小考2, 7.1
Exponential and logarithmic functions |
|
|
8/23 |
7.4
The natural logarithm as an integral 7.5
Inverse trigonometric functions |
|
|
8/24 |
7.2 Indeterminate
forms and L’hopital’s rule |
|
|
8/25 |
小考3, 7.3
More indeterminate forms |
|
|
8/30 |
8.2
Integral tables and simple substitutions 8.3
Integration by parts |
|
|
8/31 |
8.4 Trigonometric
integrals 8.5
Rational functions and partial fractions |
|
|
9/1 |
小考4, 8.6
Trigonometric substitution |
|
|
9/6 |
8.7
Integrals involving quadratic polynomials 8.8
Improper integrals |
1,3 |
|
9/7 |
Chapter
13 Function for several variables |
|
|
9/8 |
期末考 |
|
計分方式:小考1
(15%),小考2 (15%),小考3 (20%), 小考4 (20%) 期末考(30%)
注意事項:小考固定在每週四上午9:10~10:00。
期末考 9/8 9:10~