No textbook is required for this course.   Notes will be the primary source.
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<br>References:
<br>1. Erich Steiner, The Chemistry Maths Book, 2nd edition, (2008).
<br>2. Donald A. McQuarrie, Mathematics for Physical Chemistry, 1st edition, (2008).
<br>3. Donald A. McQuarrie, Mathematical Methods for Scientists and Engineers, 1st edition, (2003).
<br>4. K. F. Riley and M. P. Hobson, Foundation Mathematics for the Physical Sciences, 1st edition, (2011).
<br>5. K. F. Riley and M. P. Hobson, Essential Mathematical Methods for the Physical Sciences, 1st edition, (2011).
<br>6. George F. Simmons, Differential Equations with Applications and Historical Notes, 3rd edition, (2016).
<br>7. Donald A. McQuarrie and John D. Simon, Physical Chemistry: A Molecular Approach, 1st edition, (1997).
<br>8. F. Albert Cotton, Chemical Applications of Group Theory, 3rd edition, (1990).
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<br>Course Prerequisites:
<br>Calculus I, Calculus II, and Applied Mathematics.
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<br>Course ob<x>jectives:
<br>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.
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<br>Course Outline (topics to be covered and order of presentation subject to change):
<br>1. Brief review of ordinary differential equations
<br>2. Higher-order ordinary differential equations
<br>3. Systems of first-order ordinary differential equations
<br>4. Fourier series and orthogonal expansion
<br>5. Integral transforms: the Laplace and Fourier transforms
<br>6. Partial differential equations
<br>7. Molecular symmetry and group theory
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<br>Course Grades:
<br>Homework (10%);
<br>3 Exams: Exam 1 (30%); Exam 2 (30%); Exam 3 (30%)
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