In this webpage, you will find notes and homework solutions for Thomas P. Kling's undergraduate class on mathematical methods in physics.
Jan 23: Vectors
Jan 25: Differential Calculus 1
Jan 28: Differential Calculus 2
Jan 30: Differential Calculus in Curvilinear
Coordinates
Feb 1: Review of Differential
Calculus
Feb 4: Integral Calculus 1
Feb 6: Integral Calculus 2
Feb 8: Integral Calculus 3
Feb 11: Taylor Series
Feb 13: Legendre Polynomials 1
Feb 15: Short notes on Integral Calculus
Feb 20: Legendre Polynomials 2
Feb 25: Matrices 1
Feb 27: Matrices 2
Feb 29: Matrices 3
Mar 3: Taylor Series and Numerical
Derivatives
Mar 5: First Order ODES 1
Mar 7: First Order ODES 2
Mar 10: First Order ODES 3
Mar 12: Review
Mar 24: Second Order ODES 1
Mar 26: Second Order ODES 2
Mar 28: Special Functions
Mar 31: PDES 1
Apr 2: PDES 2
Apr 4: PDES 3
Apr 9: Fourier Series 1
Apr 11: Fourier Series 2
Apr 16: Fourier Series 3
Apr 23: Fourier Integrals 1
Apr 25: Fourier Integrals 2
Apr 28: Calculus of Variations 1
Apr 30: Calculus of Variations 2
May 2: Review
May 5: More Review
Class 1: Differential calculus
Class 2: Differential calculus (non-Cartesian coordinates)
Class 3: Integral Calculus 1
Class 4: Integral Calculus 2
Class 5: Taylor Series
Class 6: Legendre Polynomials
Class 7: Determinants, Eigenvalues
and Eigenvectors
Class 8: Inverses and Linear Algebra
Class 9: First Order ODES 1
Class 10: First Order ODES 2
Class 11: Second Order ODES
Class 12: Special Functions
Class 13: PDES 1
Class 14: Fourier Series 1
Class 15: Fourier Series 2
Class 16: Fourier Series 3
Class 1
Class 2
Class 3 and 4 Help
Class 4 Help, part 2
Class 6 (Legendre Expansions)
Class 7 and
Class 7 Eigenvector
Class 8
Class 10
Class 11
Short Exam 1 &
Short Exam 1 Solutions
Short Exam 2 & Short
Exam 2 Solutions
Short Exam 3 & Short
Exam 3 Solutions
Short Exam 4 & Short
Exam 4 Solutions
Short Exam 5 & Short
Exam 5 Solutions
Short Exam 6 & Short
Exam 6 Solutions
Final Exam & Final Exam Solutions