Mathematics - Bloomfield College (MTH)

MTH 130  Transition to Collegiate Mathematics  (4 credits)

A course designed to develop a transition from high school expectations to the study of mathematics at the collegiate level made easier through the use of the TI-84+ graphing calculator as an aid to understanding of mathematical concepts. Critical thinking will be a central theme woven through the concepts of number sense; using percents to show change and comparison; solving simple equations through the application of interest, discount, and sales price; and introductory algebra including applications of linear and quadratic functions. This course will be waived if the student's mathematical preparation is sufficient. Students who have received credit for a higher level mathematics may not take this course.

MTH 141  College Algebra  (4 credits)

Prerequisite(s): An appropriate score on the mathematics placement test or an SAT Mathematics score of 550 or higher. The concept of functions and their properties form a central theme. Multiple representations of function properties are made possible through the use of T1-84+ graphing calculator. Polynomial, quadrantic, rational, exponential, logarithmic and trigonometric functions are considered. In addition, MTH 161 includes an overview of matrices as a method of solving systems of equations and an introduction to limits and tangent lines. Students may not receive credit for both MTH 160 and MTH 161.

MTH 161  Precalculus  (4 credits)

Prerequisite(s): An appropriate score on the mathematics placement test or an SAT Mathematics score of 550 or higher. The concept of functions and their properties form a central theme. Multiple representations of function properties are made possible through the use of T1-84+ graphing calculator. Polynomial, quadrantic, rational, exponential, logarithmic and trigonometric functions are considered. In addition, MTH 161 includes an overview of matrices as a method of solving systems of equations and an introduction to limits and tangent lines. Students may not receive credit for both MTH 160 and MTH 161.

MTH 200  Applied Statistics I  (4 credits)

Prerequisite(s): MTH 140, MTH 141, MTH 160, or MTH 161. This course covers the methodology of organizing, summarizing, and presenting statistical data. Students calculate and interpret the measures of central tendency and dispersion and are introduced to probability and distribution theory (Normal, Binomial, Poisson). They use distribution and sampling theory to make statistical inferences.

MTH 221C  Calculus and Analytic Geometry I  (4 credits)

Prerequisite(s): MTH 160 or MTH 161 with a grade of C or higher. Basic theory of differential calculus through the concepts of limits and continuity are the goals of this course. Necessary analytic geometry is developed as required. Algebraic and trigonometric functions, curve sketching and applications to real-world problems (including maximum/minimum problems). The Mean Value Theorem and its consequences are covered.

MTH 222C  Calculus and Analytic Geometry II  (4 credits)

Prerequisite(s): MTH 221. This is an introduction to integral calculus and its application to the solution of real world problems. Integration of exponential, logarithmic and trigonometric functions, techniques of integration, and an introduction to differential equations are covered.

MTH 223A  Calculus and Analytic Geometry III  (4 credits)

Prerequisite(s): MTH 222C. The study of calculus is continued through sequences and series, multivariable functions and their derivatives, multiple integrals and vector valued functions, Green's Theorem, and Stokes' Theorem. Applications using the graphing calculator are included.

MTH 320A  Differential Equations  (4 credits)

Prerequisite(s): MTH 222C. The focus of this course is the solution of differential equations. Topics include separation of variables, homogeneous equations, integrating factors, linear and higher order equations and applications via classical and computer-based methods.

MTH 332A  Discrete Mathematics  (4 credits)

Prerequisite(s): MTH 160/161 with a grade of C or better. Topics in this course include elementary set theory, permutations and combinations, discrete functions, relations and graphs, trees, counting procedures and Boolean Algebra. Application of these topics in computer science will be covered.

MTH 337  Linear Algebra  (4 credits)

Prerequisite(s): MTH 222C. This is a course in the abstract mathematics sequence. Topics include systems of linear equations, matrices, vectors, linear transformations, bases, linear independence, orthogonality, eigenvectors and eigenvalues.