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Course Criteria
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3.00 Credits
Introduction to applied linear algebra with emphasis on applications. Vectors, inner products, linear independence, orthonormal sets, Gram-Schmidt algorithm, applications to document analysis. Clustering and the k-means algorithm. Matrix algebra, left and right inverses, QR factorization, linear dynamical systems. Least-squares and data fitting. Additional applications may include regularization, cross-validation, constrained least-squares, time-series prediction, and portfolio optimization. Students will use Python throughout this course. (Fall) [Graded (Standard Letter)] Prerequisite(s): (MATH 1100 or MATH 1210 or ECON 2500) and (CSIS 1030 or CSIS 1300 or CS 1040 or CS 1400 or CS 1410 or instructor approval) - Prerequisite Min. Grade: C Registration Restriction(s): None
Prerequisite:
( MATH 1100 O MATH 1210 O ECON 2500 ) ( A CSIS 1030 O CSIS 1300 O CS 1040 O CS 1400 O CS 1410 )
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4.00 Credits
Vectors in two and three-dimensional space, quadric surfaces, cylindrical and spherical coordinates, calculus of vector-valued functions, partial derivatives and the gradient, limits and continuity of functions of several variables, vector fields and line integrals, multiple integrals and evaluation theorems. (Fall, Spring, Summer) [Graded (Standard Letter)] Prerequisite(s): MATH 1220 or adequate test score - Prerequisite Min. Grade: C, P Prerequisite Test: AP Calculus B/C - Prerequisite Test Score: 5 Registration Restriction(s): None
Prerequisite:
MATH 1220 O MATH 1220
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4.00 Credits
Systems of equations, matrices, vector spaces, and eigenvalues. Linear and nonlinear differential equations, systems of differential equations, and their applications. Designed for engineering students. (Fall, Spring) [Graded (Standard Letter)] Prerequisite(s): MATH 1220 - Prerequisite Min. Grade: C Registration Restriction(s): None
Prerequisite:
MATH 1220
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3.00 Credits
Systems of linear equations, matrices and matrix inverses, linear transformations, vector spaces, bases and linear independence, eigenvalues and eigenvectors. Basic proofs and selected applications. (Fall, Spring, Summer) [Graded (Standard Letter)] Prerequisite(s): MATH 1220 - Prerequisite Min. Grade: C Registration Restriction(s): None
Prerequisite:
MATH 1220
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3.00 Credits
Linear and nonlinear differential equations and linear systems of equations with applications; emphasizes understanding of the solution as well as the techniques used. This course is designed for majors in Math, Math Education, and Science. (Spring) [Graded (Standard Letter)] Prerequisite(s): MATH 1220 and MATH 2270 - Prerequisite Min. Grade: C Prerequisite Can Be Concurrent? Yes (MATH 2270) Registration Restriction(s): None
Prerequisite:
MATH 1220 A MATH 2270
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1.00 Credits
An introduction to the usage and syntax of a software package commonly utilized in the mathematical sciences. Repeatable with different software packages for up to three (3) credits. (Fall [As Needed], Spring [As Needed]) [Pass/Fail] Prerequisite(s): MATH 1210 - Prerequisite Min. Grade: C Repeatable for Add?l Credit? Yes - Total Credits: 3 Registration Restriction(s): None
Prerequisite:
MATH 1210
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1.00 - 3.00 Credits
An opportunity to work with an individual faculty member on a mathematical research project. (As Needed) [Graded (Standard Letter)] Prerequisite(s): Instructor permission Repeatable for Add?l Credit? Yes - Total Credits: 6 Registration Restriction(s): Intensive English Program majors may not enroll
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3.00 Credits
The first course in a two-semester sequence focused on mathematical content knowledge appropriate to the needs of middle and high school teachers. Topics include numbers and operations, ratios and proportions, representations of functions, classes of functions, transformations of functions, and inverse functions. The discussion of these topics will be focused on developing multiple representations and flexible thinking to aid in being an effective mathematics teacher. (Fall) [Graded (Standard Letter)] Prerequisite(s): MATH 1210 - Prerequisite Min. Grade: C Registration Restriction(s): None
Prerequisite:
MATH 1210
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3.00 Credits
The second course in a two-semester sequence focused on mathematical content knowledge appropriate to the needs of middle and high school teachers. Topics include trigonometry, coordinate geometry, congruence and similarity via motions, geometric constructions, probability and counting, probability distributions, interpreting statistical data, and linear regression. The discussion of these topics will be focused on developing multiple representations and flexible thinking to aid in being an effective mathematics teacher. (Spring) [Graded (Standard Letter)] Prerequisite(s): MATH 3010 - Prerequisite Min. Grade: C Registration Restriction(s): None
Prerequisite:
MATH 3010
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3.00 Credits
An exploration of the historical development of mathematics and mathematical thinking, highlighting contributions by influential mathematicians. Topics include the origins and development of number systems, algebraic notation, algebraic techniques, computational tools, Euclidean geometry, calculus, linear systems, probability, and statistics. The course is intended to provide a historical perspective on the nature of mathematics and its application appropriate for prospective mathematics teachers. (Spring - Even Years) [Graded (Standard Letter)] Prerequisite(s): MATH 1220 - Prerequisite Min. Grade: C Prerequisite Can Be Concurrent? Yes Registration Restriction(s): None
Prerequisite:
MATH 1220
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