# Core Curriculum

### Mathematical Sciences component of University Core B:

MATH 122 - Math Content for Teachers II
Covers a variety of topics in geometry and basic algebra. The content of this course adheres to the NCTM Standards and the Virginia Standards of Learning where they can appropriately be applied. Will not satisfy requirements for a major in mathematics. Fomerly MATH 112. For more information, see MATH 122's detailed course description. (3 credits)

An introduction to calculus with particular emphasis on applications in business and economics. Topics include functions, limits and continuity, differentiation, exponential functions and logarithms, anti-derivatives and the integral. Students who wish to strengthen their mathematics skills before taking MATH 126 are advised to enroll in MATH 125. Will not satisfy requirements for a major in mathematics. Students who have received credit for MATH 151 may not also receive credit for MATH 126. For more information, see MATH 126's detailed course description. (3 credits)

MATH 132 - Honors Applications of Mathematics
An introduction to the application of mathematical ideas for Honors students. Topics vary. This course can be taken more than once with different topics. For more information, see MATH 132's detailed course description. (3 credits)

MATH 138 - Precalculus Function Analysis
Basic concepts of functions and related real number algebra and graphing, especially polynomial, exponential and logarithmic functions; elements of trigonometry. Will not satisfy requirements for a major in mathematics. For more information, see MATH 138's detailed course description. (3 credits)

MATH 168 - Calculus I with Integrated Precalculus I
The sequence MATH 168:169 covers the topics covered in MATH 171 but also includes topics from algebra and trigonometry that MATH 171 assumes as prerequisite. MATH 168 covers limits and derivatives of algebraic functions and applications of the derivative, including curve sketching, velocity and acceleration, optimization, and related rates. This course has been approved for credit in the Mathematical Sciences Area of the Core Curriculum. Students may not receive credit for both MATH 168 and either MATH 171 or MATH 151. For more information, see MATH 168's detailed course description.
Prerequisites: A grade of B- or better in high school Algebra II or equivalent (3 credits)

MATH 169 - Calculus I with Integrated Precalculus II
The sequence MATH 168:169 covers the topics covered in MATH 171, but also includes topics from algebra and trigonometry that MATH 171 assumes as prerequisite. MATH 169 covers indefinite and definite integrals, the area of under a curve, and the Fundamental Theorem of Calculus. The course also covers limits, differentiation, and integration of exponential, logarithmic, and trigonometric functions, and l’Hôpital’s Rule. This course has been approved for credit in the Mathematical Sciences Area of the Core Curriculum. Students may not receive credit for both MATH 169 and either MATH 171 or MATH 151. For more information, see MATH 169's detailed course description.
Prerequisites: A grade of C or better in MATH 168. Students with credit for MATH 126 Business Calculus or another college level calculus course are encouraged to contact the Department of Mathematics and Statistics for permission. (3 credits)

MATH 171 - Calculus and Analytic Geometry I
(Replaces MATH 151)
This course lays the foundational concepts of calculus: the limit, differentiation, and integration. It includes techniques for finding limits, derivatives, and integrals of algebraic, exponential, logarithmic, trigonometric, and inverse functions. Applications of the derivative include curve sketching, velocity and acceleration, optimization, related rates, and l’Hôpital’s Rule. Integration includes the area under a curve and the Fundamental Theorem of Calculus. This course has been approved for credit in the Mathematical Sciences Area of the Core Curriculum. Students may not receive credit for both MATH 171 and the sequence MATH 168:169 and may not receive credit for both MATH 171 and MATH 151. For more information, see MATH 171's detailed course description.
Prerequisites for MATH 171 (4 credits)

MATH 172 - Calculus and Analytic Geometry II
(Replaces MATH 152)
This course covers applications of integration; techniques of integration; improper integrals; infinite sequences and series, including tests for convergence and power series representations of functions and Taylor’s Theorem; and calculus of parametric curves and polar coordinate systems. This course has been approved for credit in the Mathematical Sciences Area of the Core Curriculum. Students may not receive credit for both MATH 172 and either MATH 152 or MATH 251. For more information, see MATH 172's detailed course description.
Prerequisites: A grade of C or better in MATH 171 or MATH 169. (4 credits)

### Mathematical and Natural Sciences component of College Core B:

STAT 130 - Understanding Statistics in Society
This class is designed for students who need to comprehend statistics that is used in the media, print, and to a lesser extent peer reviewed journal articles. The aim of this course is to explore the way statistics are used in society. Emphasis is placed on understanding descriptive and inferential statistics as they are presented in various media and print venues. Will not satisfy requirements for a major in mathematics. Students may not receive credit for STAT 130 after having successfully completed a statistics course numbered 200 or above. For more information, see STAT 130's detailed course description. (3 Credits)

STAT 200 - Introduction to Statistics
Introduction to statistical methods; descriptive statistics, basic probability, discrete and continuous probability distributions, estimation, hypothesis testing, correlation and regression.

Note(s): Students who have previously received credit for STAT 219 or any 300 or 400 level STAT course, may not receive credit for STAT 200. This course has been approved for Core Curriculum credit in Mathematical Sciences College Core B. (3 credits)

STAT 219 - Statistics for Biology
This course is an introduction to statistical methods taught by embedding statistical language and methods into a biological context. Topics will include univariate and bivariate graphs; measures of average, dispersion, and position; estimation; hypothesis testing; correlation; regression; analysis of variance. (3 Credits)