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ENGG2012a — Advanced Engineering Mathematics (Syllabus B)

ENGG2012a — Advanced Engineering Mathematics (Syllabus B). Instructor: Angela Y. J. Zhang Room: SHB 707 Email: yjzhang@ie.cuhk.edu.hk Tutors: Leiyi Yao ( yly009@ie.cuhk.edu.hk ) Chaorui Zhang ( chaorui.zhang@gmail.com ) Congmin Fan (fancongmin@gmail.com) Lectures: T 3:30-6:15@ YIA LT3

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ENGG2012a — Advanced Engineering Mathematics (Syllabus B)

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  1. ENGG2012a — Advanced Engineering Mathematics (Syllabus B) • Instructor: Angela Y. J. Zhang • Room: SHB 707 • Email: yjzhang@ie.cuhk.edu.hk • Tutors: • Leiyi Yao (yly009@ie.cuhk.edu.hk) • Chaorui Zhang (chaorui.zhang@gmail.com) • Congmin Fan (fancongmin@gmail.com) • Lectures: T 3:30-6:15@ YIA LT3 • Tutorials: To be arranged • Website: /course.ie.cuhk.edu.hk/~engg2012a

  2. What is Engineering Maths • Mathematical methods to solve engineering problems • Three phases of solving problems with engineering mathematics • Modeling • Solving • Interpreting

  3. Course Outline • Complex Variables • complex number, analytical functions, power series… • Linear Algebra • matrices and vectors, linear equations, vector space, eigenspace, orthogonal matrices, diagonalization, linear transformation … • Numerical Methods • errors of numerical results and error propagation, numerical integration and differentiation, numerical methods in linear algebra … • Probability and statistics • probability mass functions, probability density functions, axioms and properties of probability, mean and variance, central limit theorem, confidence interval

  4. Course Information • Textbook: E. Kreyszig, “Advanced Engineering Mathematics”, 10th edition, John Willey • Assessment method Assignment: 20% Mid-term Exam: 30% Final Exam: 50% • Course notes will be available on the web before the lectures

  5. You are encouraged to take your own notes! • Please do your homework by YOURSELF! • You are very welcome to ask questions and share your suggestions with us! • Please don’t hesitate to contact us if you need help! We are always ready to help!

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