Course

MATH 107   Topics in Geometrical Math

Professor

Ethan Bloch

CRN

90390

 

Schedule

Mon Wed   3:00 – 4:20 pm OLINLC 115

Distribution

OLD: E/Q

NEW: Mathematics and Computing

Geometrical mathematics involves many topics other than traditional Euclidean geometry. This course explores topics that vary from semester to semester and may include some, but not all of the following: symmetry, groups, frieze and wallpaper patterns, graphs, surfaces, knots, and higher dimensions.

Prerequisite: eligibility for Q courses and a willingness to explore new ideas and construct convincing arguments is a necessity.

 

Course

MATH 110   Precalculus Mathematics

Professor

Jan Rizzuti

CRN

90391

 

Schedule

Tu Th          1:00 -2:20 pm      HEG 106

Distribution

OLD: E/Q

NEW: Mathematics and Computing

A course for students who intend to take calculus and need to acquire the necessary skills in algebra and trigonometry. The concept of function is stressed, with particular attention given to linear, quadratic, general polynomial, trigonometric, exponential, and logarithmic functions. Graphing in the Cartesian plane and developing the trigonometric functions as circular functions are included.  Prerequisites: eligibility for Q courses. 

 

Course

MATH 131 A  Exploration in Number Theory

Professor

Lauren Rose

CRN

90392

 

Schedule

Mon Wed   1:30 -2:50 pm      Hegeman 106

Distribution

OLD: E/Q

NEW: Mathematics and Computing

This course will provide an overview of one of the oldest and most beautiful areas of mathematics. It is ideal for any student who wants a taste of mathematics outside of the calculus sequence. Topics may include: number puzzles, prime numbers, congruences, quadratic reciprocity, sums of squares, Diophantine equations, cryptography, coding theory, and continued fractions.  Prerequisite: Calculus background or very strong Precalculus background.  

 

Course

MATH 131 B  Exploration in Number Theory

Professor

Lauren Rose

CRN

90393

 

Schedule

Tu Th          10:30 - 11:50 am  Hegeman 106

Distribution

OLD: E/Q

NEW: Mathematics and Computing

This course will provide an overview of one of the oldest and most beautiful areas of mathematics. It is ideal for any student who wants a taste of mathematics outside of the calculus sequence. Topics may include: number puzzles, prime numbers, congruences, quadratic reciprocity, sums of squares, Diophantine equations, cryptography, coding theory, and continued fractions.  Prerequisite: Calculus background or very strong Precalculus background.  

 

Course

MATH 141 A  Calculus I

Professor

John Cullinan

CRN

90394

 

Schedule

Tu Th          1:00 – 2:20 OLINLC 115

Distribution

OLD: E/G/Q

NEW: Mathematics and Computing

An introduction to the basic ideas of differentiation and integration in one variable. Topics include limits, techniques of differentiation, definite integrals, the fundamental theorem of calculus, and applications.  Prerequisite: Precalculus or the equivalent.

 

Course

MATH 141 B  Calculus I

Professor

John Cullinan

CRN

90395

 

Schedule

Mon Wed   1:30 –2:50 am OLINLC 115

Distribution

OLD: E/G/Q

NEW: Mathematics and Computing

An introduction to the basic ideas of differentiation and integration in one variable. Topics include limits, techniques of differentiation, definite integrals, the fundamental theorem of calculus, and applications.  Prerequisite: Precalculus or the equivalent.

 

Course

MATH 142   Calculus II

Professor

Samuel Hsaio

CRN

90396

 

Schedule

Tu Th          2:30 –3:50 pm     OLINLC 115

Distribution

OLD: E/G/Q

NEW: Mathematics and Computing

This course, a continuation of Calculus I, reinforces the fundamental ideas of the derivative and the definite integral.  Topics covered include L'Hopital's rule, integration techniques, improper integrals, volumes, arc length, sequences and series, power  series, continuous random variables, and separable differential equations.  Prerequisites:  Mathematics 141 or the equivalent.

 

Course

MATH 211   Introduction to Ordinary Differential Equations

Professor

John Cullinan

CRN

90397

 

Schedule

Tu Th          9:00 - 10:20 am   Hegeman 102

Distribution

OLD: E/G/Q

NEW: Mathematics and Computing

This course is an introduction to ordinary differential equations. The course is organized around methods for solving ordinary differential equations, and incorporates many ideas from Calculus. Topics include the classification of differential equations, determining existence and uniqueness of ordinary differential equations, and solving first and second order differential equations using a variety of mathematical

tools such as integrating factors, Laplace transforms and power series. Prerequisite: Mathematics 141 and 142, or the equivalent. 

 

Course

MATH 212   Calculus III

Professor

Jules Albertini

CRN

90398

 

Schedule

Mon  1:30 – 2:50   ALBEE 106

Wed  4:30 – 5:50  ALBEE 106

Distribution

OLD: E/Q

NEW: Mathematics and Computing

This course investigates differentiation and integration of multivariable functions. Topics covered include vectors, coordinate systems, vector valued functions, partial derivatives, gradients, Lagrange multipliers, multiple integrals, change of variables, line integrals, Green’s theorem, and Stoke’s theorem.

Prerequisite: Mathematics 141 and 142 or the equivalent.

 

Course

MATH 261   Proofs and Fundamentals

Professor

Lauren Rose

CRN

90400

 

Schedule

Tu Th          2:30 -3:50 pm      Hegeman 106

Distribution

OLD: E/Q

NEW: Mathematics and Computing

This course introduces students to the methodology of mathematical proof. The logic of compound and quantified statements, mathematical induction, and basic set theory including functions and cardinality are covered. Topics from foundational mathematics are developed to provide students with an opportunity to apply proof techniques.

Prerequisite: Mathematics 141 and 142, or permission of instructor.  

 

Course

MATH 331   Linear Algebra

Professor

Samuel Hsaio

CRN

90401

 

Schedule

Wed Fr       9:00 - 10:20 am   Hegeman 106

Distribution

OLD: E/Q

NEW: Mathematics and Computing

This course gives an introduction to the theory of abstract vector spaces. The concept of a vector space is often useful when studying physical phenomena. Topics covered will include linear independence and dependence, bases and dimension, linear transformations, eigenvalues, eigenvectors, diagonalization, inner product spaces, and orthogonality.

Prerequisite: Mathematics 261 or permission of the instructor.

 

Course

MATH 361   Real Analysis

Professor

Ethan Bloch

CRN

90402

 

Schedule

Tu Th          1:00 -2:20 pm      ALBEE 106

Distribution

OLD: E/Q

NEW: Mathematics and Computing

The fundamental ideas of analysis in one-dimensional Euclidean space are studied. Topics covered include the completeness of the real numbers, sequences, Cauchy sequences, continuity, uniform continuity, the derivative, and the Riemann integral. As time permits other topics may be considered, such as infinite series of functions or metric spaces.  Prerequisite: Mathematics 261 or permission of the instructor. 

 

Course

MATH 408   Research Seminar in Computer Science and Mathematics

Professor

Robert McGrail

CRN

90490

 

Schedule

Mon            5:00 -7:00 pm      ALBEE 106

Distribution

OLD: E/Q

NEW: Mathematics and Computing

2 credits Juniors and seniors concentrating in computer science or mathematics are strongly urged to take this two-credit course. Each senior presents personal research in progress or significant material from the literature. Each junior presents an interesting paper of personal choice from the literature. The purpose of the seminar is to enhance communication among seniors about their research and to encourage juniors to become familiar with both the academic literature and research undertaken in the program. Prerequisite: Moderated status or permission of the instructor.