本課程以英語授課。EDA組碩士班在學期間，七選二複選必修課程之一。總人數限 25人

1. topics for circuits and systems
2. transmission-line essentials for digital electronics
3. transmission lines for communications
4. guided wave principles for electronics and optoelectronics
5. several topics for electronics and photonics
6. principles of radiation and antennas

外系學生加選請於加退選時向授課老師詢問。總人數限 50人限本系所學生(含輔系、雙修生)

外系學生加選請於加退選時向授課老師詢問。總人數限 50人限本系所學生(含輔系、雙修生)

course context:
1. topics for circuits and systems
2. transmission line - essentials for digital electronics
3. transmission line for communication
4. guided wave principles for electronics and optoelectronics
5. several topics for electronics and photonics
6. principles of radiation and antennas

外系學生加選請於加退選時向授課老師詢問。總人數限 50人限本系所學生(含輔系、雙修生)

外系學生加選請於加退選時向授課老師詢問。總人數限 50人限本系所學生(含輔系、雙修生)

本課程以英語授課。外系學生加選請於加退選時向授課老師詢問。總人數限 30人限本系所學生(含輔系、雙修生)

這是一門半學期的課程，主要介紹多變數函數的微積分運算，和其豐富的應用。
微分主題包含多變數函數的極限，偏微分，方向導數，切平面，線性逼近，和微分連鎖律；並討論求函數極值， lagrange乘子法等應用問題。積分部分涵蓋多重積分與逐次積分的定義，fubini定理，和變數變換；並以求實體質量、質心等幾何量作為其應用。
課堂上將講解定義並推導重要定理，以培養學生邏輯推理與分析能力；同時會示範微積分在各領域的應用，幫助學生將微積分與其他專業科目結合。本課程還設有習題課，學生將在助教的帶領下熟練微積分的計算並完成學習單上的小型研究題目。

calculus of multivariable functions together with its profound applications are introduced in this half-semester course. especially, topics about differentiation include limits, partial derivatives, directional derivatives, tangent planes, linear approximations, and the chain rule. also, applications such as finding extreme values and methods of lagrange multipliers are discussed. topics about integration involve definitions of multiple integrals and iterated integrals, fubini’s theorem, change of variables, as well as applications such as computing the mass and center of mass of a solid.
definitions are discussed and the most important theorems are derived in the lectures with a view to help students to develop their abilities in logical deduction and analysis. practical applications of calculus in various fields are illustrated in order to promote a more organic interaction between the theory of calculus and students own fields of study. this course also provides discussion sessions in which students are able to improve their skills in handling calculations in calculus and complete small projects under the guidance of our teaching assistants.

本課程中文授課,使用英文教科書。密集課程。統一教學.一10為實習課.週末考試.總人數限150人限本系所學生(含輔系、雙修生)

這是一門半學期的課程，主要介紹多變數函數的微積分運算，和其豐富的應用。微分主題包含多變數函數的極限、偏微分、方向導數、切平面、線性逼近、和微分連鎖律。並討論求函數極值、 lagrange 乘子法等應用問題。積分部分涵蓋多重積分與逐次積分的定義、fubini 定理、和變數變換。並以求實體質量、質心等幾何量作為其應用。課堂上將講解定義並推導重要定理，以培養學生邏輯推理與分析能力。同時會示範微積分在各領域的應用,幫助學生將微積分與其他專業科目結合。本課程還設有習題課，學生將在助教的帶領下熟練微積分的計算並完成學習單上的小型研究題目。

本課程中文授課,使用英文教科書。密集課程。統一教學.一10為實習課.週末考試.總人數限150人限本系所學生(含輔系、雙修生)

building upon the foundation laid in math4006-7, which focused on calculus of functions with a single real variable, multivariable calculus (math4008-9) delves into the principles and applications of multivariable calculus, particularly in the context of 2- and 3-variable functions. this course serves as a crucial cornerstone for various disciplines in science and engineering.

key topics include
1. partial derivatives
2. continuous and differentiable functions in multivariables
3. chain rule and directional derivatives:
4. second derivative test and lagrange multipliers
5. double and triple integrations
6. curvilinear coordinates

in this course, definitions are thoroughly discussed, and key theorems are derived during lectures to foster logical deduction and analytical skills among students. practical applications of calculus are highlighted to establish a meaningful connection between theoretical concepts and their relevance to various scientific and engineering fields. to enhance students proficiency in calculus, ta classes are incorporated into the course. here, students have the opportunity to refine their calculation skills under the guidance of experienced teaching assistants. these sessions aim to reinforce theoretical concepts and provide practical insights into problem-solving techniques.

本課程以英語授課。密集課程。統一教學.一10為實習課.週末考試.總人數限130人限本系所學生(含輔系、雙修生)

這是一門半學期的課程，分為「向量微積分」與「泰勒展式」兩大主題。
「向量微積分」討論的主體是定義域、值域皆屬於 r^n的向量場。我們將定義如何在曲線或曲面上積分向量場，並介紹作用在向量場上的兩種微分運算，「散度」與「旋度」。課程將解釋green定理、stokes定理、散度定理如何結合向量場的微分與積分運算，而被理解為高維度的「微積分基本定理」。應用上，我們將推導電磁學中的 gauss 定律，計算封閉曲面的電通量。
「泰勒展式」這主題推廣「極限」的概念，探討如何以多項式逼近複雜的函數。為了達到這個目的，我們將介紹無窮級數與冪級數的收斂性，利用泰勒定理估計餘項，進而推導出常見函數的泰勒展式。最後我們將示範多項式逼近的實際應用。
課堂上將講解定義並推導重要定理，以培養學生邏輯推理與分析能力；同時會示範微積分在各領域的應用，幫助學生將微積分與其他專業科目結合。本課程還設有習題課，學生將在助教的帶領下熟練微積分的計算並完成學習單上的小型研究題目。

本課程中文授課,使用英文教科書。密集課程。密集課程.統一教學.一10為實習課.總人數限150人限本系所學生(含輔系、雙修生)

這是一門半學期的課程，分為「向量微積分」與「泰勒展式」兩大主題。
「向量微積分」討論的主體是定義域、值域皆屬於 r^n 的向量場。我們將定義如何在曲線或曲面上積分向量場,並介紹作用在向量場上的兩種微分運算，「散度」與「旋度」。課程將解釋 green 定理、stokes 定理、散度定理如何結合向量場的微分與積分運算，而被理解為高維度的「微積分基本定理」。應用上，我們將推導電磁學中的 gauss 定律，計算封閉曲面的通量。
「泰勒展式」這主題推廣「極限」的概念，探討如何以多項式逼近複雜的函數。為了達到這個目的，我們將介紹無窮級數與冪級數的收斂性，利用泰勒定理估計餘項，進而推導出常見函數的泰勒展式。最後我們將示範多項式逼近的實際應用。
課堂上將講解定義並推導重要定理，以培養學生邏輯推理與分析能力。同時會示範微積分在各領域的應用，幫助學生將微積分與其他專業科目結合。本課程還設有習題課，學生將在助教的帶領下熟練微積分的計算並完成學習單上的小型研究題目。

本課程中文授課,使用英文教科書。密集課程。密集課程.統一教學.一10為實習課.總人數限150人限本系所學生(含輔系、雙修生)

in the final segment of calculus (math4009), two main topics will be discussed.

firstly the course focuses on how calculus can be applied to vector fields. vector fields, which are vector-valued functions originated from physics, will be thoroughly examined with an emphasis on understanding integrals over curves and surfaces. in particular, green’s, stokes, and divergence theorem will be presented as generalizations of the fundamental theorem of calculus for, respectively, line and surface integrals. an application, we will derive the gauss law, offering insights into the flux of an inverse square field across a closed surface.

to conclude our study of calculus, we will introduce the definitions of limits for sequences and series, addressing the theoretical foundations for the introduction of power series. as a generalization of `polynomials, power series find application in representing both elementary and advanced functions, thereby laying the groundwork for a more sophisticated analysis of functions, essential in practical contexts.

the key topics covered include:

1. line integrals
2. green’s theorem and conservative vector fields
3. surface integrals and flux
4. stokes’ and divergence theorem
5. series : definition and convergence tests
6. power series : radius of convergence and their calculus
7. taylors theorem and its applications

本課程以英語授課。密集課程。英文授課.密集課程.統一教學.一10為實習課.總人數限130人限本系所學生(含輔系、雙修生)

we will mostly focus on those tree-related algorithmic problems and their applications. some previous courses can be found at https://www.csie.ntu.edu.tw/~kmchao/course.html.

this course is designed for graduate students who are interested in becoming a control engineer or researcher. we will discuss the issues of control implementation, investigate both model-based and data-based control design methods, and apply iterative learning and optimization tool to achieve precise motion control. students are required to design, analyze, verify, and implement their control design toward a physical system.

外系學生加選請於加退選時向授課老師詢問。總人數限 60人限本系所學生(含輔系、雙修生)