Course Overview: Linear Algebra J. H. Wang Feb. 17, 2016

Instructor & TA Instructor TA J. H. Wang (王正豪) Associate Professor, CSIE, NTUT Office: R1534, Technology Building E-mail: jhwang@csie.ntut.edu.tw Tel: ext. 4238 Office Hour: 9:00-12:00 am, every Tuesday and Thursday TA (TBA) LA, Spring 2016 NTUT CSIE

Course Description Course Web Page: http://www.ntut.edu.tw/~jhwang/LA/ Time: 4:10-6:00pm, Tue.; 9:10-10:00am, Fri. Classroom: R226, Sixth Teaching Building Textbook: David Lay, Stephen Lay, and Judi McDonald, Linear Algebra and its Applications, 5th edition, Pearson, 2016. Global Edition, imported by 偉明圖書 Prerequisites: Basic knowledge of college mathematics (calculus) LA, Spring 2016 NTUT CSIE

Target Audience For those who Are EECS freshmen (or non-CSIE major students), Familiar with basic college mathematics, Preparing to learn more details in linear algebra, and Want to master the basic concepts and skills in future careers LA, Spring 2016 NTUT CSIE

Additional Resources References: Linear Algebra with Applications, 8th ed., by Steven Leon, Pearson, 2014. Introduction to Linear Algebra with Applications, by Jim DeFranza, Daniel Gagliardi, McGraw-Hill, 2009. Elementary Linear Algebra, 7th ed., by Ron Larson, Cengage Learning, 2013. LA, Spring 2016 NTUT CSIE

Teaching Lectures About 5-6 homework assignments 2 quizzes Homeworks should be turned in within two weeks 2 quizzes One before mid-term exam One before final exam Mid-term and final exams LA, Spring 2016 NTUT CSIE

Grading Policy Homework assignments: ~30% Quiz: ~20% Including programming exercises Quiz: ~20% Mid-term exam: ~25% Final exam: ~25% Note: All homework assignments and exercises must be submitted before the end of the semester (Jun. 24, 2016) LA, Spring 2016 NTUT CSIE

Online Submission Submission instructions Systems, programs, project proposals, and project reports in electronic files must be submitted to the TA online at: Submissions website & instructions : (To be announced) LA, Spring 2016 NTUT CSIE

What Will You Learn The most interesting and worthwhile undergraduate mathematics course Linear algebra concepts and computations Linear equations, matrices, eigenvalues and eigenvectors, orthogonality and least-square problems Gateway to more advanced courses and future career Numerical linear algebra

Why You Need Linear Algebra Power of linear algebra Oil exploration, electrical networks, linear programming, aircraft design, space flight and control systems, GPS navigation, multichannel image processing, computer graphics, … Wide applications in many fields Engineering, computer science, mathematics, physics, biology, economics, statistics, … Linear algebra is a language You have to practice everyday Read and reread the text carefully Do the exercises LA, Spring 2016 NTUT CSIE

Outline & Schedule Linear Equations Matrix Algebra Determinants Vector Spaces Eigenvalues and Eigenvectors Orthogonality and Least Squares Symmetric Matrices and Quadratic Forms Geometry of Vector Spaces Optimization (online) Finite-State Markov Chains (online)

Outline & Schedule (Cont’) (Tentative) Schedule Ch.1-3: 6-7 wks Ch.4-5: 6-7 wks Ch.6: 2-3 wks

Some Tools for Linear Algebra Commercial packages Matlab, Mathematica, Maple, … Free numerical computational packages Scilab, Octave, Freemat, … R: open source statistical package and language Open source numerical and scientific packages in Python: scipy, numpy … And many more! LA, Spring 2016 NTUT CSIE

Thanks for Your Attention! Any question or comment? Please feel free to send e-mails to jhwang@csie.ntut.edu.tw or discuss with me at my office LA, Spring 2016 NTUT CSIE