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MTH 131: Introduction to Mathematics
3.00 Credits
Grand Valley State University
A survey for nonmathematics majors. Topics selected from inductive and deductive reasoning, geometry, statistics, computers, modeling, number theory, numeration systems, the mathematics of decision-making, and applications. Fulfills Foundations - Mathematical Sciences. Please see the mathematics program for placement details. Offered fall and winter semesters.
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MTH 131 - Introduction to Mathematics
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MTH 180: Special Topics in Mathematics
1.00 - 9.00 Credits
Grand Valley State University
Readings, lecture, discussions, or lab (or any combination) in specific mathematics topics at an introductory or elementary level. Offered on sufficient demand. Prerequisites: Permission of the instructor.
Prerequisite:
Prerequisites: Permission of the instructor.
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MTH 180 - Special Topics in Mathematics
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MTH 201: Calculus I
4.00 Credits
Grand Valley State University
A development of the fundamental concepts of calculus using graphical, numerical, and analytical methods with algebraic and trigonometric functions of a single variable. Limits and continuity, derivatives, indefinite integrals, definite integrals, and the Fundamental Theorem of Calculus; applications of derivatives and integrals. Please see the mathematics program for placement details. Fulfills Foundation - Mathematical Sciences. Offered every semester. Prerequisites: Both MTH 122 and MTH 123; or MTH 124; or assignment through Grand Valley math placement.
Prerequisite:
Prerequisites: Both MTH 122 and MTH 123; or MTH 124; or assignment through Grand Valley math placement.
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MTH 201 - Calculus I
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MTH 202: Calculus II
4.00 Credits
Grand Valley State University
Continuation of MTH 201 using graphical, numerical, and analytic methods to study exponential, logarithmic, hyperbolic, and inverse trigonometric functions. Indeterminate forms, improper integrals, integration techniques, sequences and series, Taylor polynomials, and power series. Offered every semester. Prerequisite: MTH 201.
Prerequisite:
Prerequisite: MTH 201.
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MTH 202 - Calculus II
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MTH 203: Calculus III
4.00 Credits
Grand Valley State University
Continuation of MTH 202 using graphical, numerical, and analytic methods to study parametric equations, polar coordinates, vector algebra in two and three dimensions, differentiation and integration of vector functions of a single variable, and scalar functions of several variables. Offered every semester. Prerequisite: MTH 202.
Prerequisite:
Prerequisite: MTH 202.
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MTH 203 - Calculus III
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MTH 204: Linear Algebra I
3.00 Credits
Grand Valley State University
An introduction to systems of linear equations emphasizing conceptual understanding and computational thinking. Primary topics include solutions to linear systems, vector and matrix algebra, span and linear independence, bases, eigenvectors, and eigenvalues. Applications will be integrated throughout the course. Offered fall and winter semesters. Prerequisites: MTH 122 and MTH 123; or MTH 124; or assignment through Grand Valley math placement.
Prerequisite:
Prerequisites: MTH 122 and MTH 123; or MTH 124; or assignment through Grand Valley math placement.
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MTH 204 - Linear Algebra I
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MTH 205: Linear Algebra II
3.00 Credits
Grand Valley State University
A study of linear algebra centered on orthogonality and the singular value decomposition emphasizing conceptual understanding and computational thinking. Primary topics include orthogonality, the eigenvalue decomposition, the singular value decomposition, applications, and select topics in numerical linear algebra. Offered fall and winter semesters. Prerequisites: MTH 204 or MTH 302.
Prerequisite:
Prerequisites: MTH 204 or MTH 302.
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MTH 205 - Linear Algebra II
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MTH 210: Communicating in Mathematics
4.00 Credits
Grand Valley State University
A study of proof techniques used in mathematics. Intensive practice in reading mathematics, expository writing in mathematics, and constructing and writing mathematical proofs. Mathematical content includes elementary logic, congruence arithmetic, set theory, functions, equivalence relations, and equivalence classes. Offered fall and winter semesters. Prerequisites: MTH 201 and fulfillment of general education Foundations - Writing.
Prerequisite:
Prerequisites: MTH 201 and fulfillment of general education Foundations - Writing.
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MTH 210 - Communicating in Mathematics
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MTH 225: Discrete Structures: Computer Science 1
3.00 Credits
Grand Valley State University
Introduction to the mathematical foundations of computer science. Topics include number bases and modular arithmetic; symbolic logic, propositions, and quantification; sets, set operations, and functions; combinatorics and combinatorial proof; and recurrence relations and mathematical induction. Offered every semester. Prerequisites: CIS 162 (may be taken concurrently) and one of the following: MTH 122 or MTH 123 or MTH 124 or MTH 125, or assignment through Grand Valley math placement.
Prerequisite:
Prerequisites: CIS 162 (may be taken concurrently) and one of the following: MTH 122 or MTH 123 or MTH 124 or MTH 125, or assignment through Grand Valley math placement.
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MTH 225 - Discrete Structures: Computer Science 1
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MTH 226: Mathematics for PK-6: Whole Numbers and Operations
3.00 Credits
Grand Valley State University
In-depth explorations of the mathematical content and methods relevant to the development of Grade PK-6 children's understanding, thinking processes, strategies, and problem-solving skills in the area of whole number concepts and operations. Field experience with children held in an elementary school. Offered fall and winter semesters. Prerequisite: MTH 126.
Prerequisite:
Prerequisite: MTH 126.
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MTH 226 - Mathematics for PK-6: Whole Numbers and Operations
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