CHEM 2920-0

Brief

This course is a continuation of CHEM2930 Applied Mathematics. It covers a variety of topics in applied mathematics. The main topics include systems of ordinary differential equations, Fourier series, integral transforms, partial differential equations, and molecular symmetry. The goal is to prepare students for advanced studies in all areas of science and engineering. Examples will be drawn from a variety of scientific and mathematical areas.

Description

Course keywords: Ordinary differential equations (常微分方程), Fourier series (傅利葉級數), Integral transforms (積分變換), Partial differential equations (偏微分方程), Molecular symmetry (分子對稱性) No textbook is required for this course. Notes will be the primary source. References: 1. Erich Steiner, The Chemistry Maths Book, 2nd edition, (2008). 2. Donald A. McQuarrie, Mathematics for Physical Chemistry, 1st edition, (2008). 3. Donald A. McQuarrie, Mathematical Methods for Scientists and Engineers, 1st edition, (2003). 4. K. F. Riley and M. P. Hobson, Foundation Mathematics for the Physical Sciences, 1st edition, (2011). 5. K. F. Riley and M. P. Hobson, Essential Mathematical Methods for the Physical Sciences, 1st edition, (2011). 6. George F. Simmons, Differential Equations with Applications and Historical Notes, 3rd edition, (2016). 7. Donald A. McQuarrie and John D. Simon, Physical Chemistry: A Molecular Approach, 1st edition, (1997). 8. F. Albert Cotton, Chemical Applications of Group Theory, 3rd edition, (1990). Course Prerequisites: Calculus I, Calculus II, and Applied Mathematics. Course objectives: This course is a continuation of CHEM2930 Applied Mathematics. It covers a variety of topics in applied mathematics. The main topics include systems of ordinary differential equations, Fourier series, integral transforms, partial differential equations, and molecular symmetry. The goal is to prepare students for advanced studies in all areas of science and engineering. Examples will be drawn from a variety of scientific and mathematical areas. Course Outline (topics to be covered and order of presentation subject to change): 1. Brief review of ordinary differential equations 2. Higher-order ordinary differential equations 3. Systems of first-order ordinary differential equations 4. Fourier series and orthogonal expansion 5. Integral transforms: the Laplace and Fourier transforms 6. Partial differential equations 7. Molecular symmetry and group theory Course Grades: Homework (10%); 3 Exams: Exam 1 (30%); Exam 2 (30%); Exam 3 (30%)

Timetable

Scores

Average Percentage 81.95

Std. Deviation 15.23

Remarks

本課程上150分鐘，50分鐘彈性時間

Restrictions

限大學部2年級3年級4年級

Compulsory

Elective

Cross Discipline

First Specialization

Second Specialization