MATHEMATICS (MATH)

Chair: James Sandefur (202) 687-6214
Department of Mathematics website

PRE SESSION (May 19-June 13)

Calculus I
Eby
MATH-035-01
M-F 1:00-3:30 p.m.
4 cr.

Prereq: Pre-calculus or equivalent. This is the first part of the four semester calculus sequence (Math-035-036 and 137-150) for mathematics and science majors. Topics include limits, derivatives, techniques of differentiation, applications of the derivative, the Riemann integral, the trigonometric and inverse trigonometric functions, and the logarithmic and exponential functions.

FIRST SESSION (June 2-July 3)

Pre-Calculus
Raney
MATH-001-10
MTWR 10:30 a.m.-12:30 p.m.
3 cr.

This course reviews topics from high school algebra and analysis needed prior to the study of calculus. Topics include: algebraic operations; factoring; polynomials; rational functions; trigonometric functions; exponential and logarithmic functions; graphing of equations and functions; and word problems.

Statistics with Exploratory Data Analysis
Konicki
MATH-006-10
MTWR 1:30-3:30 p.m.
3 cr.

The primary objective of this beginning course in statistics is to have students learn and understand statistical concepts without being overwhelmed by cumbersome formulae and computations. The emphasis will be on data exploration and graphical techniques. Topics to be covered will include descriptive statistics, measures of center and spread, linear regression, probability theory, sampling, random variables and probability distributions. Uniform, discrete, binomial, normal, t and chi-square distributions will be among those used to introduce statistical inference, including estimation and hypothesis testing. Considerable use will be made of computers or calculators. This course is appropriate for completion of the Math/Science requirement in the College.

Calculus I
Eby
MATH-035-10
MTWR 3:40-6:10 p.m.
4 cr.

Prereq: Pre-calculus or equivalent. This is the first semester of the standard three-semester calculus sequence (MATH 035, 036, and 137). Topics include: limits; continuity; derivatives; the Mean Value Theorem; graphing with calculus; optimization; the Riemann integral; the Fundamental Theorem of Calculus; and area calculation. The calculus is applied to algebraic, exponential, logarithmic, and trigonometric functions.

Multivariable Calculus
Raney
MATH-137-10
MTWR 3:40-6:10 p.m.
4 cr.

Prereq: MATH-036 or equivalent. This is the third semester of the standard three-semester calculus sequence. It treats the differential and integral calculus of functions of more than one variable. Topics include: n-dimensional vector spaces; partial derivatives; directional derivatives; gradients; graphing functions of two variables with calculus; the chain rule; optimization in two or more dimensions; constrained optimization with Lagrange multipliers; vector fields; divergence and curl; double and triple integrals and Fubini's Theorem; surface area and volume; change of variables (polar, spherical, cylindrical coordinates); path integrals and surface integrals; and the theorems of Green, Gauss, and Stokes.

SECOND SESSION (July 7-August 8)

Pre-Calculus
Konicki
MATH-001-20
MTWR 3:40-5:40 p.m.
3 cr.

Short Course in Calculus
Erb
MATH-003-20
MTWR 10:30 a.m.-12:30 p.m.
3 cr.

This one-semester course treats the principal concepts of the differential and integral calculus of functions of one variable. Topics include: exponential growth and decay; logarithmic functions; curve sketching; and optimization. Intended for non-science majors who do not plan to take advanced courses, it presents the concepts in an intuitive manner with an emphasis on computation.

Statistics with Exploratory Data Analysis
Konicki
MATH-006-20
MTWR 1:30-3:30 p.m.
3 cr.

Calculus II
Erb
MATH-036-20
MTWR 3:40-6:10 p.m.
4 cr.

Prereq: MATH-035 or equivalent. This is the second semester of the standard three-semester calculus sequence. Topics include: techniques of integration; volume calculations; numerical integration; elementary differential equations; Newton's method for finding zeros; definition and convergence properties of sequences and infinite series; Taylor's Theorem; and power series.

Probability and Statistics
Sullivan
MATH-040-20
MTWR 3:40-6:10 p.m.
4 cr.

This course is for students with a background equivalent to MATH 035 who need statistical techniques applicable to biological and social sciences. Emphasizing graphical and numerical methods for describing data, it treats probability, random variables and their properties, sampling distributions, the Central Limit Theorem, estimation, hypothesis testing, and simple linear regression.

Linear Algebra
Raney
MATH-150-20
MTWR 3:40-6:10 p.m.
4 cr.

This course presents the basic theory of finite-dimensional vector spaces and linear transformations on these spaces. It covers systems of linear equations, matrices, determinants and inverse matrices, vector space bases, scalar products and orthogonality, the kernel and range space of a linear transformation, matrix representation of a linear transformation relative to a basis or bases, eigenvalues and eigenvectors, and diagonalization.

SPECIAL SESSION

Matrix Methods
Staff
MATH-401-60
Times TBA
1 cr.