# Mathematics and Statistics

## College of Arts & Sciences

#### Elementary Statistics

CAS MA 113

Basic concepts of estimation and tests of hypotheses, ideas from probability; one-, two-, and multiple-sample problems. Applications are in the social sciences and students will be able to understand the basics of using a sample to predict uncertainty. Primarily for students in the social sciences who require a one-semester introduction to statistics; others should consider CAS MA 115 or MA 213. MA 113 may not be taken for credit by any student who has completed any MA course numbered 300 or higher. Students may receive credit for not more than one of the following courses: CAS MA 113, MA 115, or MA 213. Carries MCS divisional credit in CAS. This course fulfills a single unit in the following BU Hub area: Quantitative Reasoning II. 4 cr. Tuition: \$2800

Summer 2 (July 1-August 8)

Seven-week course (July 1-August 16)

Summer 2 Section OL: Only for first year students entering BU as of Fall 2018. A \$240 technology fee is also charged.

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#### Statistics I

CAS MA 115

Numerical and graphical summaries of univariate and bivariate data. Basic probability, random variables, binomial distribution, normal distribution. One-sample statistical inference for normal means and binomial probabilities. Primarily for students in the social sciences with limited mathematics preparation. MA 115 may not be taken for credit by any student who has completed any MA course numbered 300 or higher. Students may receive credit for not more than one of the following courses: CAS MA 113, MA 115, or MA 213. Carries MCS divisional credit in CAS. This course fulfills a single unit in the following BU Hub area: Quantitative Reasoning II. 4 cr. Tuition: \$2800

Summer 2 (July 1-August 8)

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#### Statistics II

CAS MA 116

Prereq: (CAS MA 115) or equivalent. Introduces basic statistical modeling techniques. One- or two- sample inference for unknown means, proportions and variances, categorical data analysis, introduction to design of experiments and analysis of variance, analysis of simple and multiple linear regression models, non- parametric methods. MA 116 may not be taken for credit by any student who has completed any MA course numbered 300 or higher. Students may receive credit for not more than one of the following courses: CAS MA 116, MA 214, or MA 614. Carries MCS divisional credit in CAS. This course fulfills a single unit in the following BU Hub area: Quantitative Reasoning II. 4 cr. Tuition: \$2800

Summer 2 (July 1-August 8)

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#### Calculus for the Life and Social Sciences I

CAS MA 121

Differentiation and integration of functions of one variable. Same topics as CAS MA 123, but with less emphasis on mathematical generality and more on applications. Especially suitable for students concentrating in the biological and social sciences. Students may receive credit for either CAS MA 121 or 123, but not both. Carries MCS divisional credit in CAS. This course fulfills a single unit in the following BU Hub area: Quantitative Reasoning II. 4 cr. Tuition: \$2800

Summer 2 (July 1-August 8)

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#### Calculus for the Life and Social Sciences II

CAS MA 122

Prereq: (CAS MA 121 or CAS MA 123). Continuation of CAS MA 121. Review of univariate calculus, calculus of the elementary transcendental functions, elementary differential equations, elementary multivariate calculus. Applications to exponential growth, optimization, equilibrium, and dynamic modeling problems. Students may receive credit for not more than one of the following courses: CAS MA 122, MA 124, MA 127, or MA 129. Carries MCS divisional credit in CAS. This course fulfills a single unit in the following BU Hub area: Quantitative Reasoning II. 4 cr. Tuition: \$2800

Summer 2 (July 1-August 8)

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#### Calculus I

CAS MA 123

Limits; derivatives; differentiation of algebraic and transcendental functions. Applications to maxima, minima, and convexity of functions. The definite integral; the fundamental theorem of integral calculus. Students may receive credit for either CAS MA 121 or 123, but not both. Carries MCS divisional credit in CAS. This course fulfills a single unit in the following BU Hub area: Quantitative Reasoning II. 4 cr. Tuition: \$2800

Summer 2 (July 1-August 8)

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#### Calculus II

CAS MA 124

Prereq: (CAS MA 121 or CAS MA 123). Logarithmic, exponential, and trigonometric functions. Sequences and series; Taylor's series with the remainder. Methods of integration. Calculus I and II together constitute an introduction to calculus of a function of a single real variable. Students may receive credit for not more than one of the following courses: CAS MA 122, MA 124, MA 127, or MA 129. Carries MCS divisional credit in CAS. This course fulfills a single unit in the following BU Hub area: Quantitative Reasoning II. 4 cr. Tuition: \$2800

Summer 2 (July 1-August 8)

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#### Investigations in Geometry

CAS MA 150

An immersion experience in mathematical thinking and mathematical habits of mind. Students investigate topics in Euclidean and non-Euclidean geometry starting from basic elementary material and leading to an overview of current research topics. Does not satisfy MCS Divisional requirement. Does satisfy CAS WR 150 requirement. This course fulfills a single unit in each of the following BU Hub areas: Quantitative Reasoning II, Writing: Research & Inquiry, Research and Information Literacy. 4 cr. Tuition: \$2800

Summer 2 (July 1-August 8)

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#### Multivariate Calculus

CAS MA 225

Prereq: (CAS MA 124 or CAS MA 127 or CAS MA 129). Vectors, lines, planes. Multiple integration, cylindrical and spherical coordinates. Partial derivatives, directional derivatives, scalar and vector fields, the gradient, potentials, approximation, multivariate minimization, Stokes's and related theorems. Cannot be taken for credit in addition to CAS MA 230. This course fulfills a single unit in the following BU Hub area: Quantitative Reasoning II. 4 cr. Tuition: \$2800

Summer 2 (July 1-August 8)

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#### Differential Equations

CAS MA 226

Prereq: (CAS MA 225 or CAS MA 230). First-order linear and separable equations. Second-order equations and first- order systems. Linear equations and linearization. Numerical and qualitative analysis. Laplace transforms. Applications and modeling of real phenomena throughout. Cannot be taken for credit in addition to CAS MA 231. 4 cr. Tuition: \$2800

Summer 2 (July 1-August 8)

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#### Linear Algebra

CAS MA 242

Matrix algebra, solution of linear systems, determinants, Gaussian elimination, fundamental theory, row-echelon form. Vector spaces, bases, norms. Computer methods. Eigenvalues and eigenvectors, canonical decomposition. Applications. Cannot be taken for credit in addition to CAS MA 142, MA 442, or ENG EK 102. 4 cr. Tuition: \$2800

Summer 2 (July 1-August 8)

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#### Discrete Mathematics

CAS MA 293

Prereq: (CAS MA 123). Propositional logic, set theory. Elementary probability theory. Number theory. Combinatorics with applications. 4 cr. Tuition: \$2800

Summer 2 (July 1-August 8)

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