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MATH 100: Applied Linear Algebra
3.00 Credits
California State University-Sacramento
Linear algebra and its elementary applications. Topics: Matrix algebra; simultaneous linear equations; linear dependence and vector spaces; rank and inverses; determinants; numerical solution of simultaneous linear equations; linear transformations; eigenvalues and eigenvectors; unitary and similarity transformations; quadratic forms. Note: May not be taken for credit toward a mathematics major. Prerequisite: MATH 26B or MATH 31. Graded: Graded Student. Units: 3.0
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MATH 102: Number Theory
3.00 Credits
California State University-Sacramento
Theory of divisibility; some number theoretical functions; congruencies (linear and quadratic); some Diophantine equations. Simple continued fractions. Prerequisite: MATH 31. Graded: Graded Student. Units: 3.0
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MATH 102 - Number Theory
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MATH 104: Vector Analysis
3.00 Credits
California State University-Sacramento
Vector and scalar fields, integral theorems, orthogonal curvilinear coordinates, vector spaces and linear transformations, applications to physical fields and operators. Prerequisite: MATH 32. Graded: Graded Student. Units: 3.0
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MATH 104 - Vector Analysis
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MATH 105A: Advanced Mathematics for Science and Engineering I
4.00 Credits
California State University-Sacramento
Survey of second order linear differential equations, power series and Fourier series solutions, solution of partial differential equations by separation of variables. Prerequisite: MATH 32, MATH 45. Graded: Graded Student. Units: 4.0
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MATH 105A - Advanced Mathematics for Science and Engineering I
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MATH 105B: Advanced Mathematics for Science and Engineering II
4.00 Credits
California State University-Sacramento
Advanced Mathematics for Science and Engineering II. Partial differential equations continued, complex function theory and its applications. Prerequisite: MATH 105A. Graded: Graded Student. Units: 4.0
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MATH 105B - Advanced Mathematics for Science and Engineering II
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MATH 107A: Fundamental Mathematical Concepts
3.00 Credits
California State University-Sacramento
First half of a one-year course in the structure of the real number system and its sub-systems and in the basic properties and concepts of geometry. Topics will include: definitions and properties of set theory and their use in the development of the natural and whole number systems, definitions and properties of the arithmetic relations and operations for the natural numbers, whole numbers, integers. Note: May not be taken for credit toward a mathematics major or minor. Prerequisite: MATH 17 and passing score on the Intermediate Algebra Diagnostic Test. Graded: Graded Student. Units: 3.0
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MATH 107A - Fundamental Mathematical Concepts
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MATH 107B: Fundamental Mathematical Concepts
3.00 Credits
California State University-Sacramento
Continuation of MATH 107A. Topics will include: rational numbers, real numbers, measurement, Euclidean Geometry. Note: May not be taken for credit toward a mathematics major or minor. Prerequisite: MATH 107A. Graded: Graded Student. Units: 3.0
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MATH 107B - Fundamental Mathematical Concepts
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MATH 107C: Elementary Mathematics and the Learning Process
3.00 Credits
California State University-Sacramento
Students will build on their understanding of material of Math 17, Math 107A/B by deepening their understanding of the concepts taught in these courses. This will be done by examining these concepts in relationship to theories of learning and development. Students will examine mathematical concepts related to K-8 with respect to the treatment of reasoning, communication, and the perspective of cognitive and social constructivism; and throughout the course will consider the question of "What is mathematics?" and "How is mathematics learned?" Prerequisite: Math 17, Math 107A/B, and CHDV 30 or CHDV 35. Graded: Graded Student. Units: 3.0
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MATH 107C - Elementary Mathematics and the Learning Process
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MATH 108: Introduction to Formal Mathematics
3.00 Credits
California State University-Sacramento
Logic of mathematical proof, set theory, relations, functions. Examples and applications from set cardinality, algebra, and analysis. Prerequisite: MATH 31, MATH 35. Graded: Graded Student. Units: 3.0
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MATH 11: Algebra for College Students
4.00 Credits
California State University-Sacramento
Prepares students for Precalculus and other courses requiring algebra. Linear equations and inequalities, absolute value equations and inequalities, systems of linear equations, quadratic equations, polynomial expressions and equations, rational expressions and equations, roots and radicals, and exponential and logarithmic equations. Note: Applicable to workload credit for establishing full-time enrollment status, but not applicable to the baccalaureate degree. Prerequisite: A passing score on the Elementary Algebra Diagnostic Test. Graded: Remedial Grade Basis. Units: 4.0
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