Manuel Lopez
Associate Professor
School of Mathematics and Statistics
College of Science
585-475-4382
Office Hours
Tuesday 10:00 - 11:50 a.m. Thursday 10:00 - 11:50 a.m.
Office Location
Manuel Lopez
Associate Professor
School of Mathematics and Statistics
College of Science
Education
AB, Princeton University; Ph.D., Wesleyan University
585-475-4382
Currently Teaching
MATH-181
Calculus I
4 Credits
This is the first in a two-course sequence intended for students majoring in mathematics, science, or engineering. It emphasizes the understanding of concepts, and using them to solve physical problems. The course covers functions, limits, continuity, the derivative, rules of differentiation, applications of the derivative, Riemann sums, definite integrals, and indefinite integrals.
MATH-181R
Calculus I Recitation
0 Credits
This course is a weekly recitation devoted to skill development and just-in-time review of calculus material as needed. The 'as needed' is determined by weekly online assessments. Students in MATH-181 are required to enroll in MATH-181R concurrently.
MATH-190
Discrete Mathematics for Computing
3 Credits
This course introduces students to ideas and techniques from discrete mathematics that are widely used in Computer Science. Students will learn about the fundamentals of propositional and predicate calculus, set theory, relations, recursive structures and counting. This course will help increase students’ mathematical sophistication and their ability to handle abstract problems.
MATH-200
Discrete Mathematics and Introduction to Proofs
3 Credits
This course prepares students for professions that use mathematics in daily practice, and for mathematics courses beyond the introductory level where it is essential to communicate effectively in the language of mathematics. It covers various methods of mathematical proof, starting with basic techniques in propositional and predicate calculus and set theory, and then moving to applications in advanced mathematics.
MATH-341
Advanced Linear Algebra
3 Credits
This is a second course in linear algebra that provides an in-depth study of fundamental concepts of the subject. It focuses largely on the effect that a choice of basis has on our understanding of and ability to solve problems with linear operators. Topics include linear transformations, similarity, inner products and orthogonality, QR factorization, singular value decomposition, and the Spectral Theorem. The course includes both computational techniques and the further development of mathematical reasoning skills.
MATH-371
Number Theory
3 Credits
This course provides an introduction to the study of the set of integers and their algebraic properties. Topics include prime factorization and divisibility, linear Diophantine equations, congruences, arithmetic functions, primitive roots, and quadratic residues.
MATH-442
Abstract Algebra II
3 Credits
This course covers the basic theory of rings, integral domains, ideals, modules, and abstract vector spaces. It also covers the key constructions including direct sums, direct products, and field extensions. These topics serve as the foundation of mathematics behind advanced topics such as algebraic geometry and various applications like cryptography and coding theory.