課程資訊

Engineering Mathematics (1)

110-1

ME2001

502E20001

04

3.0

Ceiba 課程網頁
http://ceiba.ntu.edu.tw/1101ME2001_04

This course is designed to engage engineering mathematics needed by scientists and engineers, in a setting helpful to undergraduate students. It consists of many mathematical topics, all of which are related by the expedient of being useful in courses and subsequent careers in science and engineering.

The objective of this course is that by the end of the semester, you will have
• used standard mathematical tools common to engineers;
• solved standard ODEs of interest to materials science;
• analyzed statistical sets of data using standard mathematical concepts;
• solved linear systems using matrices;

None

Office Hours

Dennis G. Zill, Advanced Engineering Mathematics, Jones & Bartlett Learning, 7th Ed, 2017.

P. V. O’Neil, Advanced Engineering Mathematics, CENGAGE Learning, 8th Ed, 2018.

(僅供參考)

 No. 項目 百分比 說明 1. Quiz 20% There will be a ten-minute quiz in the beginning of each class. In each quiz, you will solve one to two questions chosen from our exercises and sample problems in the textbook. Quizzes are closed-book, closed-note. No electronics, including calculators, cell phones, and smart watches are allowed. Some formulas and tables may be provided. 2. Mid-terms 50% There are two mid-term exams in this course. The mid terms are scheduled on – Mid-term 1: October 27 in class. – Mid-term 2: December 08 in class. Mid-terms are closed-book, closed-note. No electronics, including calculators, cell phones, and smart watches are allowed. Mid-terms will be used to access demonstration of the learning objectives and may include the combinations of true & false and work-out problems. Some formulas and tables may be provided. 3. Fianl 30% The date of the final exam will be on January 10. The final is closed-book, closed-note. No electronics, including calculators, cell phones, and smart watches are allowed. The final is cumulative and may include the combinations of true & false and work-out problems. Some formulas and tables may be provided.

 課程進度
 週次 日期 單元主題 第1週 9/22 Introduction 第2週 9/27,9/29 First Order Differential Equations, Special ODEs, Second Order Differential Equations 第3週 10/04,10/06 Reduction of Order, Euler Equations, Undetermined Coefficients, Variation of Parameters 第4週 10/11,10/13 Laplace Transform 第5週 10/18,10/20 Laplace Transform 第6週 10/25,10/27 Review, Midterm I 第7週 11/01,11/03 Series Solutions 第8週 11/08,11/10 Sturm-Liouville BVPs Vector and Vector Spaces 第9週 11/15,11/17 Vector and Vector Spaces Matrices 第10週 11/22,11/24 Reduced Form of a Matrix, Ran and Row Space of a Matrix Nonhomogeneous Systems of Linear Equations 第11週 11/29,12/01 Matrix Inverses, Determinants 第12週 12/06,12/08 Review, Midterm II 第13週 12/13,12/15 Eigenvalues and Eigenvectors Diagonalization 第14週 12/20,12/22 Orthogonal and Symmetric Matrices 第15週 12/27,12/29 Orthogonal and Symmetric Matrices Unitary, Hermitian Matrices 第16週 1/03,1/05 Skew-Hermitian matrices, Quadratic Form 第17週 1/10,1/12 Final Exam