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Course Criteria
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3.00 Credits
Same topics as those covered in MATH213 but with additional material and problems. Prerequisite: Consent of Department. 4 hours lecture; 4 semester hours.
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3.00 Credits
Early introduction of vectors, linear algebra, multivariable calculus. Vector fields, line and surface integrals. Prerequisite: Consent of Department. 4 hours lecture; 4 semester hours.
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3.00 Credits
Classical techniques for first and higher order equations and systems of equations. Laplace transforms. Phase plane and stability analysis of non-linear equations and systems. Applications to physics, mechanics, electrical engineering, and environmental sciences. Prerequisite: MATH213, MATH223 or MATH224. 3 hours lecture; 3 semester hours.
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3.00 Credits
Same topics as those covered in MATH315 but with additional material and problems. Prerequisite: Consent of Department. 3 hours lecture; 3 semester hours.
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3.00 Credits
Selected topics chosen from special interests of instructor and students. Prerequisite: Consent of Department Head. 1 to 3 semester hours. Repeatable for credit under different titles.
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3.00 Credits
Individual research or special problem projects supervised by a faculty member; also, when a student and instructor agree on a subject matter, content, and credit hours. Prerequisite: Independent Study form must be completed and submitted to the Registrar. Variable Credit: 1 to 6 credit hours. Repeatable for credit.
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3.00 Credits
This course is an introduction to communication in mathematics as well computational tools for mathematics. This writing intensive course provides a transition from the Calculus sequence to the upper-division mathematics curriculum at CSM. Topics include logic and recursion, techniques of mathematical proofs, reading and writing proofs, mathematics software. Prerequisites: MATH213, MATH223 or MATH224. 2 hours lecture, 1 hour seminar, 2 hours lab; 4 semester hours.
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3.00 Credits
Elementary probability, propagation of error, discrete and continuous probability models, interval estimation, hypothesis testing, and linear regression with emphasis on applications to science and engineering. Prerequisite: MATH213, MATH223 or MATH224. 3 hours lecture; 3 semester hours.
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3.00 Credits
Systems of linear equations, matrices, determinants and eigenvalues. Linear operators. Abstract vector spaces. Applications selected from linear programming, physics, graph theory, and other fields. Prerequisite: MATH213, MATH223 or MATH224. 3 hours lecture; 3 semester hours.
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3.00 Credits
An introduction to the theory of probability essential for problems in science and engineering. Topics include axioms of probability, combinatorics, conditional probability and independence, discrete and continuous probability density functions, expectation, jointly distributed random variables, Central Limit Theorem, laws of large numbers. Prerequisite: MATH213, MATH223 or MATH224. 3 hours lecture, 3 semester hours.
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