# Math Course Descriptions

**Prerequisite Grade**

Any course listed in this department with a prerequisite requires a grade of C- or better in the prerequisite course, including the high school courses algebra I, geometry and algebra II which are prerequistites of all mathematics and computer science courses except **Math 2** and **12**.

**Lower Division**

**001 Fundamental Mathematical Concepts I**

This course provides prospective elementary teachers with part of the background needed for teaching the content of contemporary elementary mathematics programs. The topics include problem solving, the historical development of major mathematical concepts, sets and functions, rational and irrational numbers and their operations, and number theory. *Prerequisites:* One year each of high school algebra I, II and geometry or equivalent, and a passing score on the placement exam. *Does not satisfy the Area B mathematics requirement of the pre-2012 general education requirements. Offered every fall. *

**002 Mathematics Readiness**

This course covers basic algebra and geometry concepts including number systems, polynomials, solving equations and inequalities, graphs, functions, lines, system of equations, sets and operations, ratios, proportions, measurement and percents. Emphasis will b placed on problem solving, critical thinking and mathematical reasoning. *Prerequisites:* One year each of high school algebra I and geometry. Students who have also completed algebra II with a C- or better should take the placement exam before taking this course. *Does not satisfy the Area B mathematics requirement of the pre-2012 general education requirements. Offered every semester. *

**003 Finite Mathematics **

Topics selected from linear equations and matrices, linear programming, Markov chains, game theory and graphs. The emphasis is on applications to life, management, and social sciences. *Prerequisites:* One year each of high school algebra I, II and geometry or equivalent, and a passing score on the placement exam. Seniors are not permitted to enroll in this course. *Offered every semester. This course satisfies the Mathematical Understanding requirement of the Core Curriculum. *

**004 Introduction to Probability and Statistics **

Combinations and permutations, descriptive and inferential statistics, probability and probability distributions, hypothesis testing, regression, and correlation. Applications in a variety of practical settings. This course may not be taken for credit in addition to **Business Administration 40** or **Psychology 3**. *Offered every semester. This course satisfies the Mathematical Understanding requirement of the Core Curriculum. **Prerequisites:* One year each of high school algebra I, II and geometry or equivalent, and a passing score on the placement exam.

**010 The Art and Practice of Mathematics **

A reflective examination of basic mathematical ideas and patterns. Through participation in the discovery and development of mathematical ideas the student will view the subject as a vehicle for human creativity. The course traces the historical and contemporary role of appropriate mathematical topics. *Offered every semester. **Prerequisites:* One year each of high school algebra I, II and geometry; **English 5** and **Collegiate Seminar 20** or **120**.

**012 Mathematics Readiness for Calculus**

This course includes the basic study of number systems, linear equations and inequalities, quadratic equations and inequalities, polynomials, rational expressions, radials, exponentials, functions, inverse functions, logarithmic and exponential functions, angles, triangles, surface area, volume and applications. Emphasis will be placed on problem solving, critical thinking and mathematical reasoning. *Does not satisfy the Area B mathematics requirement for the pre-2012 general education requirements. Offered every fall. **Prerequisites:* One year each of high school algebra I and geometry. Students who have also completed algebra II with a C- or better should take the placement exam before taking this course.

**013-014 Calculate with Elementary Functions, I, II**

A survey of polynomial, trigonometric, logarithmic and exponential functions combined with differential calculus of functions of one variable and mathematical reasoning. This calculus sequence is intended for students who need to strengthen their precalculus skills. The sequence **Math 13-14** is equivalent to **Math 27**.* This course satisfies the Mathematical Understanding requirement of the Core Curriculum. Offered every semester. P**rerequisites* for **Math 13**: one year each of high school algebra I,II and geometry or equivalent and a passing score on the placement exam. **Math 13** or equivalent is prerequisite to **Math 14**. ** Math 13 alone does not satisfy an Area B mathematics requirement.*

**027 Calculus I**

Limits, continuity, trigonometry, mathematical induction, mathematical reasoning, the derivative, application of the derivative, antiderivatives and the integral. *This course satisfies the Mathematical Understanding requirement of the Core Curriculum. **Offered every semester. **Prerequisites:* One year each of high school algebra I, II and geometry, Precalculus, or equivalent, and a passing score on the placement exam.

**028 Calculus II with Applications**

This course is designed for students majoring in the life sciences, health sciences, business administration, psychology and accounting. Topics include techniques and application of integration, first order differential equations, functions of several variables, double integrals and applications. *Prerequisite:* **Math 27** or equivalent. *Offered every fall.*

**038 Calculus II **

This course is designed for mathematics, physics, computer science, engineering and chemistry majors. Topics include techniques and applications of integration, infinite sequences and series, power series, polar coordinates and inverse trigonometric functions. *Offered every spring. **Prerequisite:* **Math 27** or equivalent.

**039 Calculus III**

A rigorous treatment of limits for functions of 1 and several variables, differentiation and integration of functions of several variables, coordinate systems, vectors, line and surface integrals, Green's, Stokes' and the Divergence Theorems.* Offered every fall. **Prerequisites:* **Math 28** or equivalent.

**Upper Division**

**Math 101, 120, 134,** and** 193 **area offered annually. Most of the other upper-division courses are offered on a biannual orotation. Contact the department chair for the schedule.

**101 Fundamental Mathematical Concepts II **

This course is a continuation of **Math 1** and focuses on geometry and measurement, patterns, probability, descriptive statistics. *Does not satisfy a Area B math requirement of the pre-2012 general education requirements. This course satisfies the Mathematical Understanding requirement of the Core Curriculum. **Prerequisites*: One year each of high school algebra I, II and geometry or equivalent; **Math 1** or **Math 27** or equivalent.

**103 Intro. to Upper Division Mathematics**

This course is an introduction to mathematical logic and proofs and includes an introduction to Abstract Algebra. Students will learn to write proofs using standard proof-writing organization and terminology. Topics from algebra will include the division algorithm, modular arithmetic, rings, and groups. *Completion of ***Math 103 ***and ***Math 193 ***satisfies the Writing in the Disciplines requirement of the Core Curriculum. Prerequisites: ***English 5** and **Math 38**, or equivalent.

**111 Abstract Algebra **

Topics covered include Modules, vector spaces, fields, and Galois theory. *Prerequisites: *Math 103 and 120, or permission of the instructor.

**113 Probability and Statistics **

Discrete and continuous random variables, expectation and variance, independence, distributions and the Central Limit Theorems. Survey of statistical methods: estimation, sampling, hypothetesis testing, linear regression, and confidence intervals. *Prerequisites:* **Math 28** or **38**, or equivalent.

**114 Mathematical Modeling **

A introduction to the formulation, analysis and interpretation of results of mathematical models in the study of real-life problems chosen from the various areas of natural sciences, social sciences, economics and business. *Prerequisites:* **Math 28** or **38**, or equivalent, and **CS 21**.

**115 Number Theory **

Results studied include the Fundamental Theorem of Arithmetic, the Euclidean Algorithm, congruences, Fermat's Little Theorem and Euler's generalization, Diophantine equations and the Law of Quadratic Reciprocity. *Prerequisites:* **Math 103**, or permission of the instructor.

**120 Linear Algebra with Application**

Matrices, simultaneous linear equations, linear transformations, vector spaces, bases determinants, eigenvectors, Gram-Schmidt orthonormalization, techniques of mathematical proof and applications of linear algebra. *Prerequisites:* Any one of these pairs:** Math 28 **or **38**, or equivalent.

**131 Topology**

This course covers the fundamentals of point-set topology including topological spaces, metric spaces, continuous maps, seperation axioms, connectedness, and compactness. *Prerequisite:* **Math 103 **or permission of the instructor.

**134 Differential Equations **

Ordinary differential equations, existence and uniqueness theorems, some numerical methods, Laplace transforms, series solution, linear systems with constant coeffiencents. Partial differential equations, separation of variables, Fourier series. *Prerequisites*: **Math 39**, or **Math 38 **and** Math 120,** or equivalent.

**140 Combinatorics and Discrete Mathematics **

This course focuses on discrete structures and their relations. Topics may include counting techniques, relations, graph theory, and logic. *Prerequisites:* **Math 28** or **38**, or equivalent.

**150 Advanced Calculus **

A rigorous review of the theory of single variable calculus, topology of n-space, integration and differentiation, improper integrals, differential forms, the theorems of Stokes and Gauss. *Prerequisites*: **Math 39** and** Math 103**, or by instructor permission.

**185 Complex Variable**

Differentiation and integration of analytic functions of a complex variable, power series, residues, conformal mappings. *Prerequisites*: **Math 39** and** Math 103**, or equivalent.

**190 Special Topics in Mathematics **

An upper-division mathematics course not listed above, such as differential geometry, numerical analysis, topology or real analysis. May be repeated for credit as topics vary. *Prerequisites*: vary with topics.

**193 Senior Seminar**An in-depth critical examination of a topic or topics in contemporary mathematics. The course consists of directed reading, presentations, research, and the writing of a final essay under the supervision of the instructor. At the conclusion of the semester students are expected to present their work at a departmental colloquium of faculty and students. The essay is evaluated by a committee consisting of the faculty supervisor and two other faculty chose in consultation with the student.

*Completion of*

**Math 103**

*and*

**Math 193**

*satisfies the Writing in the Disciplines requirment of the Core Curriculum.*

*Prerequisites:*

**Math 103**or consent of instructor. Senior or second-semester junior standing required.

**197 Special Study **

Independent research of topics not covered in listed courses. Permission of the chairperson is required.

**199 Special Study - Honors**Independent study or research for majors with at least a B average in mathematics.

*Permission of the chair is required.*