# 100

## MATH 100 Mathematics First-Year Seminar

The course seeks to help students utilize campus resources effectively, learn useful academic skills, especially those relevant to mathematics, develop a support network, become more self-aware, promote personal health and wellness, and better connect with the campus. The course will introduce students to the culture of the Mathematical Sciences department and the mathematics community in general. Students in the course should be concurrently enrolled in a precalculus or calculus course.

## MATH 104 Elementary Mathematical Models

Sequences and difference equations; models of growth, including linear, quadratic, geometric, and logistic growth models; linear regression; other growth and regression models and an introduction to chaos as time permits. The course uses elementary mathematical models as a vehicle for developing the students' algebraic, geometric, and problem-solving abilities. Background assumed: N.Y.S.integrated Algebra and Geometry (or Math A), or equivalent.

## MATH 105 Survey of Precalculus

The course is designed to prepare students to take Survey of Calculus (MATH 120) and emphasizes multi-step problem solving. Topics include algebraic, exponential and logarithmic functions and their graphs, transformations and combinations of functions, a review of algebra and geometry, solving inequalities and systems of equations, and computational technology. (The course is not open to students who have completed MATH 106 with a grade of C- or better or who have completed a calculus course.) Background assumed: N.Y.S. Integrated Algebra and Geometry (or Math A), or equivalent.

## MATH 106 University Precalculus

The course is designed to prepare students to take University Calculus (MATH 122) and emphasizes multi-step problem solving. Topics include a review of algebra, solving inequalities, algebraic and transcendental functions, trigonometry, analytic geometry, applications and computational technology. (Not open to students who have completed a calculus course with a grade of C- or better.) Background assumed: N.Y.S. Algebra II and Trigonometry (or Math B), or equivalent.

## MATH 108 Prize-Winning Mathematics

The course surveys some mathematical tools that have proved useful to the social sciences, especially in business, economics, and political science. Work on one topic in particular, game theory, has led to several Nobel prizes, and may have helped the New England Patriots win three Super Bowls. Other topics will be selected from linear models, matrices, linear programming, and nonlinear and probabilistic models. Background assumed: N.Y.S. Algebra II and Trigonometry (or Math B), or equivalent.

## MATH 110 Mathematics in Action

Emphasizes the real-world significance of mathematics and the applications of several areas of mathematics. Some topics: design of street networks, planning and scheduling, weighted voting systems, fair division and apportionment, measuring populations and the universe, and statistics. Background assumed: N.Y.S. Algebra II and Trigonometry (or Math B), or equivalent.

## MATH 112 Preparation for Calculus

Designed for students who plan to take first-semester calculus in the following semester, and want to hone their precalculus skills. The course utilizes an online system called ALEKS (Assessment and LEarning in Knowledge Spaces), an artificially-intelligent assessment and learning system. ALEKS uses adaptive questioning to determine exactly what each student knows, and then tailors a study plan to each individual student. Students work at their own pace to attain mastery of the prerequisite knowledge necessary for success in calculus. Not open to students with credit for calculus.

## MATH 117 Why Mathematics?

Introduces the liberal arts student to the nature of mathematics and what mathematicians do. An emphasis on presenting ideas and mathematical concepts rather than on attaining computational skills. Ideas from algebra, geometry, number theory, set theory and topology are presented with emphasis on their history and relevance to other disciplines. Background assumed: N.Y.S. Algebra II and Trigonometry (or Math B), or equivalent.

## MATH 120 Survey of Calculus I

An introduction to differential and integral calculus for functions of a single variable with applications to the management, social, and life sciences. Not open to students majoring in mathematics, physics, or chemistry. Credit may not be earned for both MATH 120 and MATH 122.

## MATH 121 Survey of Calculus II

A continuation of MATH 120. Additional techniques of differentiation and integration with further applications to the management, social, and life sciences. Introduction to the calculus of functions of several variables. Not open to students majoring in mathematics, physics, or chemistry. Credit may not be earned for both MATH 120 and MATH 122.

### Prerequisites

MATH 120## MATH 122 University Calculus I

Functions, inverse functions, limits, continuity, derivatives, indeterminate forms, antiderivatives; applications to rectilinear motion, graphing, maxima-minima, related rates; computational technology. Credit will not be given for both MATH 120 and MATH 122. Prerequisite: MATH 106 or four years of college preparatory mathematics.

## MATH 123 University Calculus II

Definite integrals, the fundamental theorem of calculus, techniques of integration, applications of the definite integral in the physical sciences and geometry, improper integrals, differential equations, sequences and series. Credit will not be given for both MATH 121 and MATH 123.

### Prerequisites

MATH 122## MATH 124 Survey of Calculus III

Review of trigonometry: trigonometric and inverse trigonometric functions; trigonometric identities; law of sines; law of cosines. Calculus related to the trigonometric and inverse trigonometric functions: derivatives; applications of derivatives; integrals; applications of integrals. Polynomial approximation and power series representation as time permits. This course combined with MATH 120 and 121 can be used to substitute for MATH 122 and 123. Not open to students who have completed MATH 123 or equivalent.

### Prerequisites

MATH 121## MATH 125 Software for Mathematics

Introduction to software packages used by mathematicians. Topics selected from: computer algebra systems, spreadsheet software, and software for publishing mathematics (both in print and on the Web). Some attention is given to writing programs and macros within these systems.

### Prerequisites

MATH 122## MATH 190 Honors Problem Solving

Designed to engage promising mathematics students in solving problems related to calculus and its applications. Students are partitioned into small groups and given interesting and nontrivial problems to work on together. Students present solutions in class and are required to record their work in notebooks.