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課程名稱 |
微積分甲下
CALCULUS (GENERAL MATHEMATICS) (A)(2) |
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開課學期 |
95-2 |
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授課對象 |
土木工程學系 |
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授課教師 |
朱 樺 |
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課號 |
MATH1202 |
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課程識別碼 |
201 101A2 |
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班次 |
13 |
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學分 |
4 |
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全/半年 |
全年 |
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必/選修 |
必修 |
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上課時間 |
星期二7,8,9(14:20~17:20)星期四5,6(12:20~14:10) |
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上課地點 |
新102 |
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備註 |
※統一教學,不計入輔系學分
限本系所學生(含輔系、雙修生)
總人數上限：150人 |
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Ceiba 課程網頁 |
http://ceiba.ntu.edu.tw/952CalculusA2 |
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課程簡介影片 |
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核心能力關聯 |
核心能力與課程規劃關聯圖 |
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課程大綱
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為確保您我的權利,請尊重智慧財產權及不得非法影印
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課程概述 |
The course is designed for
students who have already
acquired the basic skills
in reading and writing
English, and who would like
to improve these skills so
as to be able to read essays
and books in English on a
broad range of
subjects, and make comments
on the writings they are
dealing with. |
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課程目標 |
The selections of readings to
be covered on the syllabus
are expected to help
the class expand the volume
of vocabulary on subjects
which engage the
attention of average students
at the graduate level. The
readings are also
chosen as models of fluency
and eloquence. This means
that vocabulary, grammar
and style are acquisition
targets of the class. |
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課程要求 |
Students of the class are
expected to do before-class
preparations and all the
assignments given after every
class. There will be writing
tests for the mid-
term and the final. Also
there will be short writing
exercises to be done at
home. As the reading
materials will either be
uploaded to the class webpage
or
distributed to the individual
e-mail box, it is expected
that all students
have proper computing
equipments and essential
operating skills to get the
class work going. The class
are also expected to keep
close attention to the
announcements on the
bulletinboard to be well
informed of what-to-dos and
how-
to-dos for the course. |
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預期每週課後學習時數 |
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Office Hours |
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指定閱讀 |
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參考書目 |
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評量方式
(僅供參考) |
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No. |
項目 |
百分比 |
說明 |
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1. |
期中考 |
40% |
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2. |
期末考 |
40% |
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3. |
隨堂測驗 |
20% |
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週次 |
日期 |
單元主題 |
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第1週 |
2/27,3/01 |
[11.1] Sequences；
[11.2] Infinite Series；
[11.3] The Integral Test；
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第2週 |
3/06,3/08 |
[11.4] Comparison Test；
[11.5] The Ratio and Root Tests； |
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第3週 |
3/13,3/15 |
[11.6] Alternating Series, Absolute and Conditional Convergence；
[11.7] Power Series；
[11.8] Taylor and Maclaurin Series；
[11.9] Convergence of Taylor Series; Error Estimates； |
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第4週 |
3/20,3/22 |
[11.10] Applications of Power Series；
※[11.11] Fourier Series；
[12.4] The Cross Product；
[13.1] Vector Functions；
[13.3] Arc Length and the Unit Tangent Vector T； |
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第5週 |
3/27,3/29 |
[13.4] Curvature and the Unit Normal Vector N；
[14.1] Functions of Several Variables；
[14.2] Limits and Continuity in Higher Dimensions；
[14.3] Partial Derivatives；
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第6週 |
4/03,4/05 |
[14.4] The Chain Rule；
[14.5] Directional Derivatives and Gradient Vectors； |
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第7週 |
4/10,4/12 |
[14.6] Tangent Planes and Differentials ；
[12.6] Cylinders and Quadric Surfaces；
[14.7] Extreme Values and Saddle Points； |
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第8週 |
4/17,4/19 |
[14.8] Lagrange Multipliers；
※[14.9] Partial Derivatives with Constrained Variables；
[14.10] Taylor’s Formula for Two Variables； |
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第9週 |
4/24,4/26 |
[15.1] Double Integrals；
[15.2] Areas, Moments, and Center of Mass； |
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第10週 |
5/01,5/03 |
[15.3] Double Integrals in Polar Form ；
[15.4] Triple Integrals in Rectangle Coordinates；
[15.5] Masses and Moments in Three Dimension； |
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第11週 |
5/08,5/10 |
[15.6] Triple Integrals in Cylindrical and Spherical Coordinates；
[15.7] Substitutions in Multiple Integrals； |
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第12週 |
5/15,5/17 |
[16.1] Line Integrals； |
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第13週 |
5/22,5/24 |
[16.2] Vector Fields, Work, Circulation, and Flux；
[16.3] Path Independence, Potential Functions, and Conservative Fields；
[16.4] Green’s Theorem in the plane； |
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第14週 |
5/29,5/31 |
[16.5] Surface Area and Surface Integrals；
[16.6] Parametrized Surfaces； |
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第15週 |
6/05,6/07 |
[16.7] Stoke’s Theorem；
[16.8] The Divergence Theorem and a Unified Theory； |
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第16週 |
6/12,6/14 |
緩衝時間 |
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