Course Identification
Physics module: Mathematics of physics
Lecturers and Teaching Assistants
Dr. Hagar Landsman
Gadi Trocki Reibstein, Tal Wasserman, Micha Weiss
Course Schedule and Location
Tuesday, 16:00 - 17:30, FGS, Rm A
20/09/2022
16
Field of Study, Course Type and Credit Points
Science Teaching (non thesis MSc Track): Lecture; Obligatory; Regular; 3.00 points
Comments
יומיים מרוכזים ארוכים ב-20.9 וב-18.10, 09:15-17:00
מ-25.10 והלאה בשעות 15.45-17.15
לתלמידי שנה א
Attendance and participation
Scheduled date 1
21/02/2023
Estimated Weekly Independent Workload (in hours)
Syllabus
- Hyperbolic Functions. Taylor Series. Gaussian Integrals. The Dirac Delta Function. Spherical and Cylindrical Coordinates
- Complex Numbers and Complex Functions. Definition of a Complex Number. Basic Complex Arithmetics. The Complex Plane. Complex Exponentials and General Complex Functions.
- Vectors and Vector Analysis. Vectors and Their Transformations. Transformation Matrices. Addition and Multiplication of Vectors. Why Physics Uses Vectors? Rotational Invariance. Tensors. Integrals of Vectors. Derivatives of Vectors. The Gradient. The Laplacian. Divergence and Curl. Useful Identities and Calculation Tips.
- Systems of Linear Algebraic Equations. Matrices and Determinants. Two Linear Equations. Conditions on Determinants for Solution to Exist. Eigenvalues and Eigenvectors. Product of 2 £ 2 Matrices. Functions of 2 £ 2 Matrices. System of n Equations and its Matrix Form. Determinant of an n£n Matrix. Cramer's Formula and Existence of Solutions. Eigenvalues and Eigenvectors of n£n Matrices. Product of n £ n Matrices.
- Ordinary Differential Equations (ODE). Linear ODE with Constant Coefficients. Linear Second Order ODE with Non Constant Coefficients. Systems of Linear ODE's. Coupled Oscillators.
Learning Outcomes
Upon successful completion of the course students will be able to:
Demonstrate enough proficiency in the topics taught in the course to enable them cope with the demanding curriculum of the physics courses in the program.