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Course Criteria
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4.00 Credits
Emphasis on modern applications of selected topics from sets, logic, probability, statistics and mathematical modeling. 4 lecture/problemsolving. Prerequisites: Within the last 3 quarters, must have either achieved a minimum placement score on the appropriate MDPT or C or better in MAT 12, or MAT 105, or MAT 106, or MAT 125, or STA 120; or, within last year must have earned 50 or better on the ELM; or, within the last 18 months must have earned either 550 or better on the SAT or 23 or better on the ACT.
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4.00 Credits
Development of the real number system including sets, operations and properties; topics in number theory. Development of problem solving strategies, introduction to proof and inductive and deductive reasoning. Application of technology to these topics. 4 lecture/problems. Students must complete MAT 194, MAT 394, MAT 395, and MAT 494 to meet the GE Area B4 requirement. Prerequisites: Within the last 3 quarters, must have either achieved a minimum placement score on the appropriate MDPT or C or better in MAT 12, or MAT 105, or MAT 106, or MAT 125, or STA 120; or, within last year must have earned 50 or better on the ELM; or, within the last 18 months must have earned either 550 or better on the SAT or 23 or better on the ACT.
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12.00 Credits
Individual or group investigation, research, studies or surveys of selected problems. Total credit limited to 4 units, with a maximum of 2 units per quarter.
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4.00 Credits
Numerical methods of topics from algebra and calculus. Topics will include function evaluation and graphing, limits, summation, solving nonlinear equations, numerical integration and differentiation and an introduction to numerical error. 4 lecture/problemsolving. Prerequisite: C or better in MAT 116 and CS 128 or consent of instructor.
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4.00 Credits
Introduction to linear transformations of the plane, vector space of ntuples, matrix algebra, determinants, systems of linear equations. 4 lecture/problemsolving. Prerequisite: C or better in MAT 214 or consent of instructor.
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3.00 Credits
Introduction to vectors, dot products, cross products, equations of lines and planes. Calculus of Vector Valued Functions including unit tangents, unit normals and curvature. Introduction to multivariable functions, the Differential Calculus of Multivariable Functions, the chain rule, applications including extreme problems and Lagrange multipliers. 3 lecture/problemsolving. Prerequisite: C or better in MAT 116 or consent of instructor.
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3.00 Credits
Integral Calculus of Multivariable functions, double and triple Integrals, applications of double and triple integrals, line and surface integrals, Green's Theorem, Divergence Theorem, Stokes Theorem. lecture/problemsolving. Prerequisite: C or better in MAT 214 or consent of instructor.
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4.00 Credits
The theory of ordinary differential equations with emphasis on the linear case. 4 lecture/problemsolving. Prerequisite: C or better in MAT 116 or consent of instructor.
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4.00 Credits
Separable and linear ordinary differential equations; numerical and analytical solutions. Linear algebra: vectors in nspace, matrices, linear transformations, eigenvalues, eigenvectors, diagonalization; applications to the study of systems of linear differential equations. 4 lecture/problemsolving. Prerequisite: C or better in MAT 116 or consent of instructor.
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14.00 Credits
Group study of a selected topic, the title to be specified in advance. Total credit limited to 8 units, with a maximum of 4 units per quarter. Lecture/Activity/Laboratory or a combination. Prerequisite: Consent of instructor.
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