Schedule Sort by: Date Tuesday Aug 22 2023 Description of the course and software packages Class policies, and mathematical tools available for downloading. Reading Thursday Aug 24 2023 Introduction to Error Analysis How to propagate error. Reading Chapters 1-3 of “MATLAB for the Physical Scientist” Tuesday Aug 29 2023 Linear Least Squares via Programming Introduction to Matlab programming. Reading Chapter 19 of “Mathematics for Physical Chemistry”, and more importantly Chapters 1-3 of “MATLAB for the Physical Scientist” Thursday Aug 31 2023 Linear Least Squares via Programming Pt. II Matlab scripts and functions. Reading Chapters 1-3 of “MATLAB for the Physical Scientist” Tuesday Sep 05 2023 The Variance-Covariance Matrix Method Error analysis for multivariable fits to data. Reading Chapters 1-3 of “MATLAB for the Physical Scientist” Thursday Sep 07 2023 Error Analysis Pt. II Student’s T test, P values, and when to do experimental replicates. Reading Chapter 19 of “Mathematics for Physical Chemistry” Tuesday Sep 12 2023 Differentials Calculus of differentials. Reading Chapter 1 of “Mathematics for Physical Chemistry” Thursday Sep 14 2023 Multivariable Calculus Pt. I Differentiation using the chain rule and Euler’s Theorem and test. Reading Chapter 12 of “Mathematics for Physical Chemistry” Tuesday Sep 19 2023 Multivariable Calculus Pt. II Volumetric integration. Reading Chapter 12 of “Mathematics for Physical Chemistry” Thursday Sep 21 2023 Numerical methods for calculus Differentiation using stencils and for loops in programs for integrating. Reading Tuesday Sep 26 2023 Integrals Pt. I A general review of calculus integrals, with an emphasis on the use of units within integrals. Reading Chapter 2 of “Mathematics for Physical Chemistry” Thursday Sep 28 2023 Integrals Pt. II Introduction to the erf function, integration by parts, and calculus identities. Reading Chapter 2 of “Mathematics for Physical Chemistry” Tuesday Oct 03 2023 Exam 1 First exam in class. Reading Thursday Oct 05 2023 Integrals Pt. III More on Jacobians. Reading Chapter 2 of “Mathematics for Physical Chemistry” Tuesday Oct 10 2023 Probability An introduction to probability distributions. Reading Chapter 21 of “Mathematics for Physical Chemistry” Thursday Oct 12 2023 Statistics A review of general statistics. Reading Chapter 22 of “Mathematics for Physical Chemistry” Tuesday Oct 17 2023 Complex Mathematics An introduction to the complex plane. Reading Chapter 5 of “Mathematics for Physical Chemistry” Thursday Oct 19 2023 Differential Equations Pt. I Classes of differential equations. Reading Chapter 6 of “Mathematics for Physical Chemistry” Tuesday Oct 24 2023 Differential Equations Pt. II Introduction to solving ordinary differential equations. Reading Chapter 6 of “Mathematics for Physical Chemistry” Thursday Oct 26 2023 Differential Equations Pt. III Separability for multivariable differential equations. Reading Chapter 6 of “Mathematics for Physical Chemistry” Tuesday Oct 31 2023 Differential Equations Pt. IV Partial Differential Equations. Reading Chapter 6 of “Mathematics for Physical Chemistry” Thursday Nov 02 2023 Solving Differential Equations with a Series Pt. I Part 2 of our examination of the solution to Laplace’s Equation. Reading Chapter 7 of “Mathematics for Physical Chemistry” Tuesday Nov 07 2023 Solving Differential Equations with a Series Pt. II A solution to the Laplace Equation, the spherical harmonics! Reading Chapter 7 of “Mathematics for Physical Chemistry” Thursday Nov 09 2023 Exam 2 Exam 2 in class. Tuesday Nov 14 2023 Introduction to the Laplace Equation Starting on the solution to the 3D rigid rotor problem. Reading Chapter 7 of “Mathematics for Physical Chemistry” Thursday Nov 16 2023 Fourier Series Introduction ot the Fourier Transform. Reading Chapter 9 of “Mathematics for Physical Chemistry” Thursday Nov 16 2023 Fourier Series Pt. II The discrete Fourier Transform and numerical methods and applications for FT. Reading Chapter 10 of “Mathematics for Physical Chemistry” Tuesday Nov 28 2023 The Fourier Transform Introduction to the Fourier Transform. Reading Chapter 10 of “Mathematics for Physical Chemistry” Thursday Nov 30 2023 The Wave Equation and Quantum Mechanics How the wave equation is derived from Maxwell’s Equation. Reading Chapter 15 of “Mathematics for Physical Chemistry”
Tuesday Aug 22 2023 Description of the course and software packages Class policies, and mathematical tools available for downloading. Reading
Thursday Aug 24 2023 Introduction to Error Analysis How to propagate error. Reading Chapters 1-3 of “MATLAB for the Physical Scientist”
Tuesday Aug 29 2023 Linear Least Squares via Programming Introduction to Matlab programming. Reading Chapter 19 of “Mathematics for Physical Chemistry”, and more importantly Chapters 1-3 of “MATLAB for the Physical Scientist”
Thursday Aug 31 2023 Linear Least Squares via Programming Pt. II Matlab scripts and functions. Reading Chapters 1-3 of “MATLAB for the Physical Scientist”
Tuesday Sep 05 2023 The Variance-Covariance Matrix Method Error analysis for multivariable fits to data. Reading Chapters 1-3 of “MATLAB for the Physical Scientist”
Thursday Sep 07 2023 Error Analysis Pt. II Student’s T test, P values, and when to do experimental replicates. Reading Chapter 19 of “Mathematics for Physical Chemistry”
Tuesday Sep 12 2023 Differentials Calculus of differentials. Reading Chapter 1 of “Mathematics for Physical Chemistry”
Thursday Sep 14 2023 Multivariable Calculus Pt. I Differentiation using the chain rule and Euler’s Theorem and test. Reading Chapter 12 of “Mathematics for Physical Chemistry”
Tuesday Sep 19 2023 Multivariable Calculus Pt. II Volumetric integration. Reading Chapter 12 of “Mathematics for Physical Chemistry”
Thursday Sep 21 2023 Numerical methods for calculus Differentiation using stencils and for loops in programs for integrating. Reading
Tuesday Sep 26 2023 Integrals Pt. I A general review of calculus integrals, with an emphasis on the use of units within integrals. Reading Chapter 2 of “Mathematics for Physical Chemistry”
Thursday Sep 28 2023 Integrals Pt. II Introduction to the erf function, integration by parts, and calculus identities. Reading Chapter 2 of “Mathematics for Physical Chemistry”
Thursday Oct 05 2023 Integrals Pt. III More on Jacobians. Reading Chapter 2 of “Mathematics for Physical Chemistry”
Tuesday Oct 10 2023 Probability An introduction to probability distributions. Reading Chapter 21 of “Mathematics for Physical Chemistry”
Thursday Oct 12 2023 Statistics A review of general statistics. Reading Chapter 22 of “Mathematics for Physical Chemistry”
Tuesday Oct 17 2023 Complex Mathematics An introduction to the complex plane. Reading Chapter 5 of “Mathematics for Physical Chemistry”
Thursday Oct 19 2023 Differential Equations Pt. I Classes of differential equations. Reading Chapter 6 of “Mathematics for Physical Chemistry”
Tuesday Oct 24 2023 Differential Equations Pt. II Introduction to solving ordinary differential equations. Reading Chapter 6 of “Mathematics for Physical Chemistry”
Thursday Oct 26 2023 Differential Equations Pt. III Separability for multivariable differential equations. Reading Chapter 6 of “Mathematics for Physical Chemistry”
Tuesday Oct 31 2023 Differential Equations Pt. IV Partial Differential Equations. Reading Chapter 6 of “Mathematics for Physical Chemistry”
Thursday Nov 02 2023 Solving Differential Equations with a Series Pt. I Part 2 of our examination of the solution to Laplace’s Equation. Reading Chapter 7 of “Mathematics for Physical Chemistry”
Tuesday Nov 07 2023 Solving Differential Equations with a Series Pt. II A solution to the Laplace Equation, the spherical harmonics! Reading Chapter 7 of “Mathematics for Physical Chemistry”
Tuesday Nov 14 2023 Introduction to the Laplace Equation Starting on the solution to the 3D rigid rotor problem. Reading Chapter 7 of “Mathematics for Physical Chemistry”
Thursday Nov 16 2023 Fourier Series Introduction ot the Fourier Transform. Reading Chapter 9 of “Mathematics for Physical Chemistry”
Thursday Nov 16 2023 Fourier Series Pt. II The discrete Fourier Transform and numerical methods and applications for FT. Reading Chapter 10 of “Mathematics for Physical Chemistry”
Tuesday Nov 28 2023 The Fourier Transform Introduction to the Fourier Transform. Reading Chapter 10 of “Mathematics for Physical Chemistry”
Thursday Nov 30 2023 The Wave Equation and Quantum Mechanics How the wave equation is derived from Maxwell’s Equation. Reading Chapter 15 of “Mathematics for Physical Chemistry”