This course provides basic mathematics for undergraduate students who major in chemistry and chemical physics. After finishing this course, students will have a firm mathematical basis required to understand physical chemistry, quantum chemistry and statistical thermodynamics. It is preparatory materials for Chem211 and Chem311.

Calculus I and II or permission of the instructor

Problem sets, quizzes, classroom participation 30%
Midterm 35%
Final 35%

M. L. Boas, Mathematical Methods in the Physical Sciences, 3rd ed., (Wiley, 2006).
R. G. Mortimer, Mathematics for Physical Chemistry, 4th ed., (Elsevier, 2013)
G. B. Arfken and H. J. Weber, and F. E. Harris, Mathematical Methods for Physicists: A Comprehensive Guide, 7th ed., (Academic Press, 2012).

Introduction
Ch1. Functions of a single variable: Differentiation
Ch2. Functions of a single variable: Integration
Ch3. Series and limits
Ch4. Functions defined by integrals
Ch5. Complex numbers
Ch6. Ordinary differential equations
Ch7. Power series solutions of differential equations
Ch8. Orthogonal polynomials
Ch9.Fourier series
Ch10. Fourier transforms
Ch11. Operators
Mid Term Exam
Ch12. Functions of several variables;
Ch13. Vectors; Ch14. Plane polar coordinates and spherical coordinates
Ch15. The classical wave equation
Ch16. The Schrodinger equation
Ch17. Determinants
Ch18. Matrices
Ch19. Matrix eigenvalue problems
Ch19. Matrix eigenvalue problems
Ch20. Vector spaces
Ch21. Probability
Ch22. Statistics: Regression and correlation
Ch23. Numerical Methods
Final Exam

Do not miss the classes. Unapproved absence of more than 5 times will result in F grade. I found the correlation between the number of absence and grade is very close to −1.
Doing homework is essential. You should do it to your best. Homework grade is based on how hard you worked on it.

No Class*:
3/17, 5/17
*Schedules for the make-up classes will be announced later.

1. Students who desire to be well prepared for Chem211 and Chem311 ahead are strongly encouraged to take this course.
2. Students who have solid mathematical backgrounds already should not take this course (e.g. those who have successfully completed PHYS209 and PHYS408). You may be asked not to take this when you are considered to be already prepared.