Paul Buckingham
Fall Term 2024 (1890)
MATH 144 - Calculus for the Mathematical and Physical Sciences I
3 units (fi 6)(EITHER, 3-0-0)
The derivative as a rate of change. Differentiation of elementary, trigonometric, exponential, and logarithmic functions. The definite integral as a summation. Integration. The Fundamental Theorem of Calculus. Taylor polynomials. Applications in the context of the physical sciences. Prerequisite: Mathematics 30-1. Note: Credit can be obtained in at most one MATH 100, 113, 114, 117, 134, 144, 154 or SCI 100.
LECTURE B1 (48011)
2024-09-03 - 2024-12-09
MWF 10:00 - 10:50
MATH 256 - Elementary Number Theory
3 units (fi 6)(FIRST, 3-0-0)
Divisibility, prime numbers, congruences, quadratic residues, quadratic reciprocity, arithmetic functions and diophantine equations; sums of squares. Prerequisites: MATH 125 or 127.
LECTURE A1 (54028)
2024-09-03 - 2024-12-09
MWF 11:00 - 11:50
Winter Term 2025 (1900)
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.
LECTURE S1 (73414)
2025-01-06 - 2025-04-09
TR 14:00 - 15:20
MATH 225 - Linear Algebra II
3 units (fi 6)(EITHER, 3-0-0)
Vector spaces. Inner product spaces. Examples of n-space and the space of continuous functions. Gram-Schmidt process, QR factorization of a matrix and least squares. Linear transformations, change of basis, similarity and diagonalization. Orthogonal diagonalization, quadratic forms. Applications in a variety of fields. Prerequisites: One of MATH 100, 113, 114, 117, 134, 144, 154 or SCI 100, and one of MATH 102, 125 or 127. Note: Credit can be obtained in at most one of MATH 225 or 227.
LECTURE R1 (73130)
2025-01-06 - 2025-04-09
TR 09:30 - 10:50