# Undergraduate Course Descriptions

### Precalculus (3.00)

#### MATH 1030

Studies computational skills, patterns of quantitative problem solving, and mathematical thought. Includes linear and quadratic equations, polynomials, inverse functions, logarithms, arithmetic and geometric sequences, trigonometric functions, and linear systems. (Does not satisfy the College natural science and mathematics requirement.) Prerequisite: High school algebra II and geometry.

### Probability/Finite Mathematics (3.00)

#### MATH 1110

Studies finite probability theory including combinatorics, equiprobable models, conditional probability and Bayes' theorem, expectation and variance, and Markov chains.

### Financial Mathematics (3.00)

#### MATH 1140

The study of the mathematics needed to understand and answer a variety of questions that arise in everyday financial dealings. The emphasis is on applications, including simple and compound interest, valuation of bonds, amortization, sinking funds, and rates of return on investments. A solid understanding of algebra is assumed.

### The Shape of Space (3.00)

#### MATH 1150

Provides an activity and project-based exploration of informal geometry in two and three dimensions. Emphasizes visualization skill, fundamental geometric concepts, and the analysis of shapes and patterns. Topics include concepts of measurement, geometric analysis, transformations, similarity, tessellations, flat and curved spaces, and topology.

### Algebra, Number Systems, and Number Theory (3.00)

#### MATH 1160

Studies basic concepts, operations, and structures occurring in number systems, number theory, and algebra. Inquiry-based student investigations explore historical developments and conceptual transitions in the development of number and algebraic systems.

### A Survey of Calculus I with Algebra (4.00)

#### MATH 1190

A first calculus course for business/biology/social-science students. Topics include college algebra/limits and continuity/differentiation and integration of algebraic and elementary transcendental functions/applications to related-rates & optimization problems as well as to curve sketching & exponential growth. At most one of MATH 1190, MATH 1210, and 1310 may be taken for credit. Prerequisite: No previous exposure to Calculus.

### A Survey of Calculus I (3.00)

#### MATH 1210

A first calculus course for business/biology/social-science students. Topics include limits and continuity/differentiation & integration of algebraic & elementary transcendental functions/applications to related-rates & optimization problems as well as to curve sketching & exponential growth. At most one of Math 1190, MATH 1210, and 1310 ma1y be taken for credit.

### A Survey of Calculus II (3.00)

#### MATH 1220

A second calculus course for business/biology/and social-science students. Topics include differential equations/infinite series/analysis of functions of several variables/analysis of probability density functions of continuous random variables. The course begins with a review of basic single-variable calculus.  Prerequisite: MATH 1210 or equivalent; at most one of MATH 1220 and MATH 1320 may be taken for credit.

### Calculus I (4.00)

#### MATH 1310

A first calculus course for natural-science majors/students planning further work in mathematics/students intending to pursue graduate work in applied social sciences. Introduces differential & integral calculus for single-variable functions, emphasizing techniques/applications & major theorems, like the fundamental theorem of calculus. Prerequisite: Background in algebra/trigonometry/exponentials/logarithms/analytic geometry.

### Calculus II (3.00)

#### MATH 1320

Continuation of 1310. Applications of the integral, techniques of integration, infinite series, vectors. Credit is not given for both MATH 1220 and 1320.  Prerequisite: MATH 1310 or equivalent, or instructor permission.