A symbolic, numeric, and graphic approach to intermediate algebra with an emphasis on applications. Topics include operations, equations, and inequalities of linear, exponential, logarithmic, quadratic, rational, and radical functions. Please see the mathematics program for placement test details. Offered every semester. Prerequisite: Assignment through Grand Valley math placement.
Spring/Summer 2024 - Online
A culminating experience in algebra for conceptual understanding and application in other fields. Primary topics include families of functions (polynomial, rational, exponential, logarithmic, and their compositions), algebraic skills for making and using mathematical models, and multiple representations of algebraic relationships. Fulfills Foundation - Mathematical Sciences. Offered each semester. Prerequisites: MTH 108 and MTH 109 (or MTH 110) or assignment through Grand Valley math placement. Please see the mathematics program for placement details.
Spring/Summer 2024 - Online Fall 2024 - Online Winter 2025 - Online
A study of the trigonometric functions with an emphasis on graphing, identities, inverse trigonometric functions, and solving equations. Additional topics include solving triangles, vectors, complex numbers, and polar coordinates. Fulfills Foundations - Mathematical Sciences. Please see the mathematics program for placement details. Offered every semester. Prerequisite: MTH 122 (may be taken concurrently) or assignment through Grand Valley math placement. Graphing calculator required: TI83 or TI84 recommended.
Study of preparatory material for calculus using symbolic algebra and trigonometry for solving equations, representing functions, and modeling, plus appropriate technology. Core topics: concept of function, average rate of change of a function, inverse and composite functions, trigonometric functions, exponential and logarithmic functions, and right triangle trigonometry. Fulfills Foundations - Mathematical Sciences. Offered every semester. Prerequisite: MTH 110.
Spring/Summer 2024 - Online Fall 2024 - Online
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.
Spring/Summer 2024 - Online Winter 2025 - Online
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.
Fall 2024 - Online
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.
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.
Continuation of MTH 225 with emphasis on mathematical proof and graph-related structures. Review of mathematical induction; strong induction and structural induction; direct proof, proof by contraposition, and proof by contradiction; graphs and their representations and properties; relations, equivalence relations, and partial orderings; trees and tree traversals. Offered fall and winter semesters. Prerequisites: MTH 225.
Winter 2025 - Online
Hours, credit, topics, and time to be arranged with individual staff members with approval of the department. Offered upon sufficient demand. Credits: 1 to 4
Elementary math seminar to support student teachers as they critique and reflect upon their mathematical instruction. Emphasis is on assessment-driven instruction; communicating with children, caregivers, and communities; and effective use of instructional materials to support children's mathematics learning. Supported by current research in mathematics education. Corequisite: EDI 430.
Fall 2024 - Online Winter 2025 - Online
