**L.MAT-091: Intermediate Algebra**

This course is designed to prepare the student for college-level (100-level) coursework in mathematics. The course covers arithmetic, pre-algebra, and elementary and intermediate algebra, including linear equations and linear functions and applications, and exponents. 4 credits.

**L.MAT-110: ** **Math for K-8 Teachers I**

This course begins to develop the solid foundation in K-8 mathematics needed by future elementary and middle school teachers. The focus of this course is on Numbers and Operations. In addition, this course will introduce students to professional recommendations and state requirements for mathematics instruction and provide students with a global perspective on mathematics achievement. This course does not fulfill mathematical modeling general education requirements. 4 credits.

**L.MAT-111: Math for K-8 Teachers II**

This course provides further instruction on K-8 mathematics for prospective elementary and middle school teachers. L.MAT-111 focuses on the content domains of Geometry, Measurement, Probability, and Algebraic Thinking. The course topics are taught using teaching techniques appropriate for elementary and middle school, including guided discovery and other student-centered approaches.

Prerequisite: L.MAT-110. 4 credits.

**L.MAT-113: College Algebra-FM**

Advanced work in algebra, functions and graphing in the context of mathematical models. Topics include linear, polynomial, exponential and logarithmic functions and regression. Prerequisite: a grade of C- or better in L.MAT-091 or placement into L.MAT 113. May not be taken for credit if a grade of C or higher was achieved in MAT-117 or a higher level mathematics course. 3 credits.

**L.MAT-115: Statistics-FM**

Basic statistical concepts and methods. Descriptive statistics and probability, distribution and sampling theory, hypothesis testing and analysis of variance, correlation and regression. Prerequisite: a grade of C- or better in L.MAT-091 or placement into L.MAT 115. 4 credits.

**L.MAT-117: Pre-Calculus-FM**

This course provides a one semester preparation for calculus while presenting an introduction to mathematical modeling. Topics include: linear, quadratic, exponential, and trigonometric models. Prerequisite: a C- or better in L.MAT-113 or placement into L.MAT 117. 4 credits.

**L.MAT-150: Calculus of One Variable I-FM**

A study of the basic concepts and techniques of analytic geometry, differential and integral calculus of functions of one variable, and applications to calculus-based models. Prerequisite: Demonstrated competency in L.MAT-113 and 117 or equivalent or placement into L.MAT 150. 4 credits.

**L.MAT-160: Calculus of One Variable II**

Further study of the integral calculus of functions of one variable and an introduction to sequences, series, and differential equations. Prerequisite: L.MAT-150 or equivalent. 4 credits.** **

**L.MAT-220: Introduction to Probability & Statistics**

A study of the fundamental techniques used in descriptive statistics as applied to real-world data and the processes associated with the design and analysis of experiments; application of theories from calculus to the construction of cumulative distributions for continuous random variables and computation of associated probabilities, expected values and variances. Prerequisites: L.MAT-150, and one of L.MAT-160, L.CIT-115, or L.EGR-116. 3 credits.

**L.MAT-230: Discrete Mathematics**

This course introduces the ideas and methods of logic and proofs. Topics include: set theory, logic, functions, proof types and elementary number theory. Prerequisite: L.MAT 150 and one of L.MAT-160, L.CIT-115, or L.EGR-116 (these last three can be taken as a co-requisite). 3 credits.

**L.MAT-250: Linear Algebra**

A course which introduces abstract vector spaces, matrices and linear transformations. Prerequisite: L.MAT-150 and one of L.MAT-160, L.CIT-115, or L.EGR-116 (these last three can be taken as co-requisite). 3 credits.

**L.MAT-260: Analytic Geometry & Calculus III**

A study of partial differentiation and multiple integration, elementary vector analysis and applications of these concepts. Prerequisite: L.MAT-160 or placement into L.MAT-260. 4 credits.

**L.MAT-310: Ordinary Differential Equations**

Theory, solution and applications of ordinary differential equations including Laplace transform methods. Prerequisite: L.MAT-160. 3 credits.

**L.MAT-370: Numerical Analysis**

A study of some of the standard numerical algorithms used to solve real-world problems arising in engineering and the sciences, and use of a computer to implement these algorithms; pitfalls in computation, error analysis, solving linear systems, interpolation and approximation. Prerequisites: L.MAT-160 and L.CIT-115. 3 credits.

**L.MAT-380: Modern Geometry**

Both Euclidean and non-Euclidean geometries are studied from an axiomatic viewpoint. Traditional high school geometry concepts are presented in a rigorous fashion so as to expand one’s depth of understanding of traditional geometry. Prerequisite: L.MAT-230 or permission of the instructor. 3 credits.

**L.MAT-390: Mathematics Seminar**

A course where students experience and learn mathematics beyond that contained in usual coursework. Participants carry out research in an area of mathematics of interest to them with a faculty mentor. Each student gives at least one presentation on their topic and make definite progress toward the completion of the senior paper and presentation. Prerequisite: L.MAT-260, and 230; L.MAT-250 can be taken as a co-requisite. 1 credit (may be repeated).

**L.MAT-391: Guided Research**

A course where students experience and learn mathematics beyond that contained in usual coursework. Participants carry out research in an area of mathematics in a small group. Groups will give presentations and submit a final artifact. Prerequisite: L.MAT-230, L.MAT-250, and L.MAT-260. 3 credits.

**L.MAT-450: Modern Algebra**

A course which covers basic ideas on groups, rings, integral domains, fields, and polynomials over a field. Prerequisite: L.MAT- 230, and L.MAT-250 can be taken as a pre-requisite or co-requisite, or permission of instructor. 3 credits.

**L.MAT-460: Real Analysis**

Further work in calculus, including the properties of the real number system, limits and continuity, differentiation and integration, sequences and series. Prerequisite: L.MAT-160 or 170, and L.MAT-230 (or permission of instructor); L.MAT-250 can be taken as a pre-requisite or co-requisite. 3 credits.

**L.MAT-490: Math Portfolio-PJ**

Students will assemble a portfolio that provides evidence of appreciable growth in their understanding of mathematics, and reflect on the relevance of the Loras College dispositions and lifelong learning skills to their development in the major and as a person. This course satisfies the general education portfolio requirement. Prerequisite: Declared Mathematics major, completion of three of the five advanced general education courses, L.MAT-230, 250, and 260, L.MAT-391 or at least two semesters of L.MAT-390. 1 credit.

**L.MAT-495: Topics in Mathematics**

Selected topics of current interest to students. Prerequisite: Permission of instructor. Credits arranged.

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