Course Overview: Linear Algebra J. H. Wang Feb. 17, 2016 Instructor & TA • Instructor – – – – – – 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 2 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 3 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 4 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 5 Teaching • Lectures • About 5-6 homework assignments – 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 6 Grading Policy • Homework assignments: ~30% – 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 7 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 8 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 10 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 13 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 14