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Course Criteria
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3.00 Credits
A one semester course in quantitative methods stressing matrix algebra, systems of linear equations, and differential and integral calculus of functions of one variable. Applications will be drawn from the business area. Prerequisite: MA 103A. Not open to students with credit for MA 117A. Satisfies the mathematics and science distribution requirement. Three hours a week.
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4.00 Credits
Algebra and trigonometry necessary for the study of calculus. Intended for those students planning to take calculus (MA 117A) who need further mathematics background. Emphasis is on the creation of functions to explain the relationship between quantities in applied problems. Types of function investigated include linear, quadratic, polynomial, rational, exponential, logarithmic, trigonometric functions and their inverses. Graphing calculator is required. We recommend TI-84+. This course is not open to students who have credit for any math course numbered MA 117A or higher. Four hours a week.
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4.00 Credits
A first course in calculus for functions of a single variable. Limits, derivatives and integrals of algebraic, trigonometric, exponential and logarithmic functions. Graphing calculator is required. We recommend TI-84+. Prerequisite: MA 116A or exemption from MA 116A through the Mathematics Placement exam.* Satisfies the mathematics and science distribution requirement. Four hours a week.
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4.00 Credits
A continuation of MA 117A for functions of a single variable. Includes techniques of integration, limits involving indeterminate forms, sequences, series, and Taylor series. Graphing calculator is required. We recommend TI-84+. Prerequisite: MA 117A. * Satisfies the mathematics and science distribution requirement. Four hours a week.
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3.00 Credits
An introduction to applied statistical methods in engineering dealing with basic probability, estimation, tests of hypotheses, regression, design of experiments and control charts. Statistical computer packages will be used in connection with some of the material studied. Prerequisite: MA 117A. Corequisite: MA 118A. Three hours a week.
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4.00 Credits
Functions in parametric form and calculus of these functions. Polar coordinates and calculus of functions in polar form. Vectors in two and three dimensional space and the calculus of vector-valued functions. Lines, planes, and surfaces in three dimensional space. Spherical and cylindrical coordinates. The calculus of functions of several variables: limits, partial derivatives, directional derivatives, gradient, tangent planes and normal lines, relative maxima and minima, double integrals in rectangular and polar form, triple integrals. Graphing calculator is required. We recommend TI-84+. Prerequisite: MA 118A.* Four hours a week. *The calculus sequence (MA 116A, MA 117A, MA 118A, MA 219A) requires a solid foundation in the prerequisite material. Therefore, it is recommended that a student receive a C or better to take the next course in the calculus sequence.
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3.00 Credits
First order differential equations: slope fields, existence and uniqueness theorem, separable, linear, homogeneous and exact equations, elementary numerical methods, and applications. Higher order linear equations: general theory, constant coefficient equations, undetermined coefficients, variation of parameters, and applications. First order sytems: elimination method, elementary numerical methods, matrix method for constant coefficient linear systems. Planar autonomous systems: critical points, trajectories, linearization and local phase portraits at critical points. Laplace transformation: definitions and properties, use to solve initial value problems. Prerequisite: MA 219A. Three hours a week.
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3.00 Credits
Selected topics from Euclidean, projective and non- Euclidean geometries. Prerequisite: MA 118A or consent of the instructor. Offered in the fall semester of even-numbered years. Three hours a week.
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3.00 Credits
A calculus-based treatment of probability and statistics for situations involving one random variable or population. Calculating probabilities using counting techniques, set theory, discrete and continuous random variables. Descriptive statistics, central limit theorem, confidence intervals and hypothesis testing for mean, proportion and simple linear regression . MINITAB statistical software used throughout this course. Prerequisite: MA 118A. Three hours a week.
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3.00 Credits
A calculus-based treatment of probability and statistics for situations involving two random variables or populations. Joint probability distributions, confidence intervals and hypothesis tests, non-parametric statistics. MINITAB statistical software used throughout this course. Prerequisite: MA 219A, MA 227A. Three hours a week.
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