Math Calculus & Precalculus (MAC)
In this course, students will develop problem solving skills, critical thinking, computational proficiency, and contextual fluency through the study of equations, functions, and their graphs. Emphasis will be placed on quadratic, exponential, and logarithmic functions. Topics will include solving equations and inequalities, definition and properties of a function, domain and range, transformations of graphs, operations on functions, composite and inverse functions, basic polynomial and rational functions, exponential and logarithmic functions, and applications. This is a state-designated general education core course.
In this course, students will develop problem solving skills, critical thinking, computational proficiency, and contextual fluency through the study of equations, functions, and their graphs. Emphasis will be placed on quadratic, exponential, and logarithmic functions. Topics will include solving equations and inequalities, definition and properties of a function, domain and range, transformations of graphs, operations on functions, composite and inverse functions, basic polynomial and rational functions, exponential and logarithmic functions, and applications. This is an honors course and a state-designated general education core course. It meets College level Mathematical Skills requirements.
Provides background for the calculus sequence or other disciplines involving skills in trigonometry. Includes properties and graphs of trigonometric functions and inverse trigonometric functions; trigonometric identities; conditional trigonometric equations, solutions of triangles; vector algebra; parametric equations; polar coordinates; applications. Course meets General Education and College Level Mathematics Skills requirements.
This is an in-depth course in algebra which provides the algebra skills necessary for calculus. Topics include properties and graphs of polynomial, rational, and other algebraic functions; polynomial and rational inequalities; exponential and logarithmic functions, their properties and graphs; piecewise functions, conic sections; matrices and determinants; sequences and series; mathematical induction; and the binomial theorem. Course meets General Education and College Level Mathematics Skills requirements.
Equivalent to MAC 1140 and MAC 1114 but more intensely paced. Topics include properties and graphs of polynomial, rational, and other algebraic functions; polynomial and rational inequalities; exponential and logarithmic functions, their properties and graphs; piecewise functions; conic sections; matrices and determinants; sequences and series; mathematical induction; the binomial theorem; properties and graphs of trigonometric functions; solutions of triangles; vector algebra; parametric equations; polar coordinates; applications. Course meets General Education and College Level Mathematics Skills requirements.
This course includes the topics of limits, continuity, differentiation and integration of algebraic, exponential and logarithmic functions, with applications to business, natural and social sciences. Course meets General Education and College Level Mathematics Skills requirements.
In this course, students will develop problem solving skills, critical thinking, computational proficiency, and contextual fluency through the study of limits, derivatives, and definite and indefinite integrals of functions of one variable, including algebraic, exponential, logarithmic, and trigonometric functions, and applications. Topics will include limits, continuity, differentiation and rates of change, optimization, curve sketching, and introduction to integration and area. This course is a state-designated core course. Course meets General Education and College Level Mathematics Skills requirements.
MAC 1147 with a grade of "C" or higher or MAC 1140 and MAC 1114 - both courses with a grade of "C" or higher and admission into the EFSC Honors program. In this course, students will develop problem solving skills, critical thinking, computational proficiency, and contextual fluency through the study of limits, derivatives, and definite and indefinite integrals of functions of one variable, including algebraic, exponential, logarithmic, and trigonometric functions, and applications. Topics will include limits, continuity, differentiation and rates of change, optimization, curve sketching, and introduction to integration and area. This is an honors course and a state-designated core course. Course meets General Education and College Level Mathematics Skills requirements.
The course includes a study of techniques of integration, selected topics in analytic geometry, polar coordinates, sequences and series, parametric equations, indeterminate forms, and application of the definite integral. The course is the second of a three course sequence. Course meets General Education and College Level Mathematics Skills requirements.
The course includes a study of techniques of integration, selected topics in analytic geometry, polar coordinates, sequences and series, parametric equations, indeterminate forms, and application of the definite integral. The course is the second in a three-course sequence. The honors course requires students to work and learn cooperatively, carry out group activities in and out of class, submit team and individual projects, and increase depth of topic exploration. Instruction will emphasize a constructivist approach. Course meets General Education and College Level Mathematics Skills requirements.
The course includes a study of three-dimensional coordinate systems, vectors, vector spaces, functions of several variables / multivariable functions, partial differentiation, conservative vector spaces, multiple integration, parametrization, line integrals, flux, circulation, surface integral, Green's Theorem, Divergence Theorem, and Stokes' Theorem. This is the third of a three-course sequence in calculus.
This course gives students opportunity to understand the relationship of theory to practice through participation in a service-learning experience. Students are required to complete 20 hours of volunteer work, a service-learning contract, and an oral and written reflection of the experience.