MATHEMATICS

An intensive preparation for calculus. This course is intended for computer science, engineering, mathematics, and natural science majors. Topics include algebraic, exponential, logarithmic and trigonometric functions and their inverses and identities, conic sections, sequences, series, the binomial theorem and mathematical induction.

MATH 2: An intensive preparation for calculus. This course is intended for computer science, engineering, mathematics, and natural science majors. Topics include algebraic, exponential, logarithmic and trigonometric functions and their inverses and identities, conic sections, sequences, series, the binomial theorem and mathematical induction. The co-requisite MATH 2C: A review of the core prerequisite skills, competencies, and concepts needed in precalculus. Intended for students who are concurrently enrolled in MATH 2, Precalculus. Topics include concepts from elementary algebra, geometry, and intermediate algebra that are needed to understand the basics of college-level precalculus. Emphasis is placed on real and complex numbers; fundamental operations on algebraic expressions and functions; algebraic factoring and simplification; introduction to functions, equations and graphs; circles and parabolas; properties of geometric figures, similarity, and special right triangles. Pass/No Pass only.

This course is intended for students majoring in Science, Technology, Engineering, or Mathematics (STEM). MATH 3 in combination with MATH 4 (College Algebra for STEM Majors) serves as a prerequisite for MATH 7 (Calculus 1). The course includes a study of the properties and graphs of trigonometric and inverse trigonometric functions, trigonometric identities, solutions of triangles, trigonometric equations, parametric equations, polar coordinates and polar equations, the algebra of vectors in two and three dimensions and topics from analytic geometry and applications.

MATH 3: This course is intended for students majoring in Science, Technology, Engineering, or Mathematics (STEM). MATH 3 in combination with MATH 4 (College Algebra for STEM Majors) serves as a prerequisite for MATH 7 (Calculus 1). The course includes a study of the properties and graphs of trigonometric and inverse trigonometric functions, trigonometric identities, solutions of triangles, trigonometric equations, parametric equations, polar coordinates and polar equations, the algebra of vectors in two and three dimensions and topics from analytic geometry and applications. The co-requisite MATH 3C: A review of the core prerequisite skills, competencies, and concepts needed in trigonometry. Intended for students who are concurrently enrolled in MATH 3, Trigonometry with Applications. Topics include concepts from elementary and intermediate algebra and analytic geometry that are needed to understand the basics of trigonometry. Emphasis is placed on studying angles and their properties; geometric figures including circles and triangles; factoring and simplifying algebraic expressions; equations and graphs of circles; introduction to functions; fundamental operations on algebraic expressions and functions. Pass/No Pass only.

This course is intended for students majoring in Science, Technology, Engineering, or Mathematics (STEM). MATH 4 in combination with MATH 3 (Trigonometry with applications) serves as a prerequisite for MATH 7 (Calculus 1). The topics to be covered include review of the fundamentals of algebra, relations, functions, solutions of first and second degree equations and inequalities, systems of equations, matrices, binomial theorem, mathematical induction, polynomial and rational functions, exponential and logarithmic functions, analytic geometry and conic sections, and geometric and arithmetic sequences and series.

MATH 4: This course is intended for students majoring in Science, Technology, Engineering, or Mathematics (STEM). MATH 4 in combination with MATH 3 (Trigonometry with applications) serves as a prerequisite for MATH 7 (Calculus 1). The topics to be covered include review of the fundamentals of algebra, relations, functions, solutions of first and second degree equations and inequalities, systems of equations, matrices, binomial theorem, mathematical induction, polynomial and rational functions, exponential and logarithmic functions, analytic geometry and conic sections, and geometric and arithmetic sequences and series. The co-requisite MATH 4C: A review of the core prerequisite skills, competencies, and concepts needed in College Algebra. Intended for students who are concurrently enrolled in MATH 4, College Algebra for STEM Majors. Topics include concepts from elementary and intermediate algebra and analytic geometry that are needed to understand the basics of college-level algebra. Emphasis is placed on real and complex numbers; fundamental operations on algebraic expressions and functions; factoring and simplifying algebraic expressions; introduction to functions, solving equations and systems of linear equations; graphs of elementary functions and their properties. Pass/No Pass only.

This course is designed for STEM majors and provides a modern treatment of mathematical concepts and methods needed for success in the calculus sequence and beyond. Topics include the theory of approximation, the theory of functions, algebro-geometric analysis, polynomials, rational functions and asymptotic analysis, exponential and logarithmic functions, trigonometry, and the fundamentals of series. Students will learn about the relevance, utility, and limitations of modern computational resources for mathematical analysis while exploring the topics above. The techniques and practices investigated in the course will be motivated by contemporary interpretations and implementations of mathematical theory in STEM fields.

MATH 6: This course is designed for STEM majors and provides a modern treatment of mathematical concepts and methods needed for success in the calculus sequence and beyond. Topics include the theory of approximation, the theory of functions, algebro-geometric analysis, polynomials, rational functions and asymptotic analysis, exponential and logarithmic functions, trigonometry, and the fundamentals of series. Students will learn about the relevance, utility, and limitations of modern computational resources for mathematical analysis while exploring the topics above. The techniques and practices investigated in the course will be motivated by contemporary interpretations and implementations of mathematical theory in STEM fields. The co-requisite MATH 6C: A review of the core prerequisite skills, competencies, and concepts needed for success in MATH 6. Intended for students who are concurrently enrolled in MATH 6 Modern Mathematical Methods for STEM Majors. Topics include concepts from elementary algebra, geometry, and intermediate algebra that are needed to understand the more advanced concepts explored in MATH 6, as well as learning skills like time management and test preparation. Emphasis is placed on number sense and numeracy; fractions, decimals, and scientific notation; fundamental operations on numbers, algebraic expressions, and functions; algebraic manipulation; geometric figures such as circles, parabolas, and special right triangles. This corequisite course is Pass/No Pass only.

This first course in calculus is intended primarily for science, technology, engineering and mathematics majors. Topics include limits, continuity, and derivatives and integrals of algebraic and trigonometric functions, with mathematical and physical applications.

MATH 7: This first course in calculus is intended primarily for science, technology, engineering and mathematics majors. Topics include limits, continuity, and derivatives and integrals of algebraic and trigonometric functions, with mathematical and physical applications. The co-requisite MATH 7C: A review of the core prerequisite skills, competencies, and concepts needed for success in Calculus 1. Intended for students who are concurrently enrolled in Calculus 1. Topics include those needed to understand the more advanced concepts explored in Calculus 1, as well as learning skills like time management and test preparation. Emphasis is placed on functions and their graphs; fundamental operations on numbers, algebraic expressions, and functions; trigonometry; algebraic factoring and simplification; the theory of approximation; summation notation. This corequisite course is Pass/No Pass only.

This second course in calculus is intended primarily for science, technology, engineering, and mathematics majors. Topics include derivatives and integrals of transcendental functions with mathematical and physical applications, indeterminate forms and improper integrals, infinite sequences and series, and curves, including conic sections, described by parametric equations and polar coordinates.

This course is intended for computer science, engineering, and mathematics majors. Topics include proof techniques, cardinality of sets, partial orderings and equivalence relations, symbolic logic and valid arguments, permutations and combinations with repetition, and an introduction to graph theory.

Topics include vectors and analytic geometry in two and three dimensions, vector functions with applications, partial derivatives, extrema, Lagrange Multipliers, multiple integrals with applications, vector fields. Green's Theorem, the Divergence Theorem, and Stokes' Theorem.

This course covers concepts and procedures of descriptive statistics, elementary probability theory and inferential statistics. Course content includes: summarizing data; computation and interpretation of descriptive statistics; classical probability theory; probability distributions; binomial, normal, T, Chi-square and F distributions; making inferences; decisions and predictions. This course develops, analyzes, and interprets confidence intervals for population parameters, hypothesis testing for both one and two populations, correlation and regression, ANOVA, and test for independence. This course develops statistical thinking through the study of applications in variety of disciplines. The use of a statistical/graphing calculator and/or statistical analysis software is integrated into the course.

Topics include matrices and linear transformations; abstract vector spaces and subspaces; linear independence and bases; determinants; systems of linear equations; eigenvalues and eigenvectors.

MATH 54: This course covers concepts and procedures of descriptive statistics, elementary probability theory and inferential statistics. Course content includes: summarizing data; computation and interpretation of descriptive statistics; classical probability theory; probability distributions; binomial, normal, T, Chi-square and F distributions; making inferences; decisions and predictions. This course develops, analyzes, and interprets confidence intervals for population parameters, hypothesis testing for both one and two populations, correlation and regression, ANOVA, and test for independence. This course develops statistical thinking through the study of applications in variety of disciplines. The use of a statistical/graphing calculator and/or statistical analysis software is integrated into the course. The co-requisite MATH 54C: A review of the core prerequisite skills, competencies, and concepts needed in statistics. Intended for students who are concurrently enrolled in STAT C1000 Introduction to Statistics (formerly MATH 54). Topics include: concepts from arithmetic, pre-algebra, elementary and intermediate algebra that are needed to understand the basics of college-level statistics. Concepts are taught through the context of descriptive data analysis. Pass/No Pass only.

This course is an introduction to ordinary differential equations. Topics include first order equations, linear equations, reduction of order, variation of parameters, spring motion and other applications, Cauchy-Euler equations, power series solutions, Laplace transform, and systems of linear differential equations.

This is a terminal mathematics course for liberal arts and social science majors. Topics include sets and counting, probability, linear systems, linear programming, statistics, and mathematics of finance, with emphasis on applications.

MATH 21: This is a terminal mathematics course for liberal arts and social science majors. Topics include sets and counting, probability, linear systems, linear programming, statistics, and mathematics of finance, with emphasis on applications. The co-requisite MATH 21C: This course provides a review of the core prerequisite skills, competencies, and concepts needed for students who are concurrently enrolled in Finite Mathematics. Topics include theory, procedures, and practices from pre-algebra, beginning algebra, and intermediate algebra. Particular attention is paid to solving and graphing linear equations and inequalities, problem-solving and modeling strategies, translating and interpreting language for the purpose of formulating mathematical phrases and statements, simplifying arithmetic and algebraic expressions, and learning to use the appropriate technology (typically scientific calculators) needed in MATH 21. Pass/No Pass only.

This course is intended for students majoring in business or social sciences. It is a survey of differential and integral calculus with business and social science applications. Topics include limits, differential calculus of one variable, including exponential and logarithmic functions, introduction to integral calculus, and mathematics of finance.