MATH 125 - Linear Algebra I

3 units (fi 6)(EITHER, 3-0-0)

Systems of linear equations. Vectors in n-space, vector equations of lines and planes. Matrix algebra, inverses and invertibility. Introduction to linear transformations. Subspaces of n-space. Determinants. Introduction to eigenvalues and eigenvectors. Complex numbers. Dot product, cross product and orthogonality. Applications in a variety of fields. Prerequisite: Mathematics 30-1. Note: Credit can be obtained in at most one of MATH 102, 125 or 127.

MATH 146 - Calculus for the Mathematical and Physical Sciences II

3 units (fi 6)(EITHER, 3-0-0)

Techniques and applications of integration. Improper integrals. Introduction to differential equations. Partial differentiation. Applications in the context of the physical sciences. Prerequisite: One of MATH 100, 113, 114, 117, 134, 144 or 154. Note: Credit can be obtained in at most one of MATH 101, 115, 118, 136, 146, 156 or SCI 100.

MATH 102 - Applied Linear Algebra

3 units (fi 6)(EITHER, 3-0-1)

Vectors and matrices, solution of linear equations, equations of lines and planes, determinants, matrix algebra, orthogonality and applications (Gram-Schmidt), eigenvalues and eigenvectors and applications, complex numbers. Prerequisite or corequisite: MATH 100. Notes: (1) Credit can be obtained in at most one of MATH 102, 125, or 127. (2) Students in all sections of this course will write a common final examination. (3) Restricted to Engineering students. Non-Engineering students who take this course will receive 3 units.

PHYS 230 - Electricity and Magnetism

3 units (fi 6)(EITHER, 3-0-3/2)

Electric fields, Gauss' Law; electric potential; capacitance and dielectrics; electric current and resistance; magnetic fields, Ampere's Law; Faraday's Law; inductance; magnetic properties of matter. Prerequisites: PHYS 130 or 144 or 146, and MATH 100 or 114 or 117 or 144. Corequisite: MATH 101 or 115 or 118. Note: Restricted to Engineering students. Other students who take this course will receive 3 units. Credit can normally be obtained for only one of PHYS 181, 230, or 281.

PHYS 512 - Advanced Quantum Mechanics II

3 units (fi 6)(SECOND, 3-0-0)

Time-dependent scattering theory; relativistic quantum mechanics; Klein-Gordon and Dirac equations; introduction to quantum field theory.