### Pre-Algebra MTH 099

Basic principles and operations of arithmetic elementary algebra informal geometry systems of measurement, and problem solving techniques to enable students to develop the ability to understand and use basic mathematical methods. Credit in this course does not count toward graduation. Must be completed with at least a C-.

**Prerequisites:**fall, winter, summer; Fee: yes.

### Algebra MTH 100

Linear equations and inequalities and their graphs, systems of two equations in two unknowns, quadratic equations, factoring, elementary operations with polynomials rational expressions, exponents and radicals, and word problems. This course may not be used to fulfill general education requirements.

**Prerequisites:**MTH 099 with a grade of C- or better, or placement recommendation; Term: fall, winter, summer; Fee: yes.

### Mathematics for Heath Careers MTH 103

Applies basic mathematical skills in calculations required for the usual dosage determinations, as well as solution preparations using weight, metric, household, and apothecary systems.

**Prerequisites:**MTH 099 with a C or better; Term: fall, winter.

### Intermediate Algebra MTH 105

Real numbers, operations with polynomials and rational expressions, factoring, rational exponents and radicals, first degree equations and inequalities, quadratic equations, systems of equations, logarithms, scientific notation and applications.

**Prerequisites:**MTH 100 or one year high school algebra; Term: fall, winter, summer.

### Elementary Functions MTH 110

Elementary functions, their graphs and applications using a graphing calculator, analytical geometry, polynomial and rational functions, exponential and logarithmic functions, trigonometric functions, trigonometric identities, sequences and series, and the binomial theorem. Designed as a pre-calculus course.

**Prerequisites:**MTH 105 or two years high school algebra, department approval; Term: fall, winter, summer.

### Calculus I MTH 251

Analytic geometry in the plane, functions, limits and continuity, derivatives and applications, and indefinite integrals and applications.

**Prerequisites:**MTH 110 or two years of high school algebra, one year high school geometry, one-half year of trigonometry; Term: fall, winter.

### Calculus II MTH 252

Exponential and logarithmic functions, trigonometric and inverse trigonometric functions, techniques of integration, indeterminate forms, improper integrals, Taylors formula, and infinite series.

**Prerequisites:**MTH 251; Term: winter.

### Calculus III MTH 254

Polar coordinates, vectors, vector-valued functions, three dimensional analytic geometry, partial derivatives, and multiple integration.

**Prerequisites:**MTH 252; Term: fall, offered alternate years [odd].

### Discrete Mathematics MTH 265

Sets, functions, algorithms, mathematical induction, counting methods, permutations and combinations, recurrence relations, Boolean algebra, relations, and matrices. Writing intensive course for math majors.

**Prerequisites:**MTH 110; Term: fall.

### Graph Theory MTH 270

An introduction to topics and applications of graph theory. Graph theory topics are selected from the following: paths, cycles, circuits, Eulerian circuits, Hamiltonian cycles, generalized pancyclicity, forbidden subgraphs, connectivity, trees, social networks, planarity, graph colorings, directed graphs, modeling. Additionally, the course includes an introduction to set theory, and methods of proof (direct proof, proof by contradiction, proof by cases, proof by induction).

**Prerequisites:**MTH 110; Term winter.

### College Geometry MTH 300

Properties of geometric figures, proofs, constructions, solving applied problems, use of coordinate geometry and transformation geometry, and Euclidean and non-Euclidean geometry.

**Prerequisites:**MTH 110; Term: winter.

### Concepts in Elementary Mathematics I MTH 310

Foundations for learning mathematics, sets, algebraic thinking, numeration, fundamental operations of arithmetic, estimation, number theory, integers, rational numbers, real numbers, and explorations.

**Prerequisites:**MTH 105; Term: fall.

### Probability and Statistics MTH 325

Sample spaces, probability of events, random variables, counting techniques, descriptive statistics, binomial and normal distributions, confidence intervals, and hypothesis testing.

**Prerequisites:**MTH 110; Term: fall, summer.

### Teaching Probability and Statistics in Grades K - 8 MTH 330

Statistical graphs, centers and spreads of distributions, appropriate statistical software and student activities, explorations and investigations, and current issues in mathematics education.

**Prerequisites:**: MTH 325; Math Major or Minor for Elementary Teaching; Term: winter, offered alternate years [odd].

### Methods in Teaching Secondary Mathematics MTH 347

Philosophical basis for mathematics teaching, survey of special programs in mathematics, specific objectives, materials and curriculum planning for mathematics in middle and secondary schools, emphasis on role of problem solving in mathematics teaching. Observations of classroom teaching. Course offered as needed.

**Prerequisites:**EDU 240, EDU 241, EDU 347, Math major or minor, junior or senior standing; Term: winter.

### Linear Algebra MTH 353

Matrices, linear systems, determinants, vector spaces, linear transformations, eigenvalues and eigenvectors, and applications.

**Prerequisites:**MTH 251; Term: winter, offered alternative years [even].

### Differential Equations MTH 371

Differential equations of the first order and first degree, as well as their applications, linear dependence and independence, linear differential equations of order two and higher, series solutions of linear differential equations, and systems of linear differential equations.

**Prerequisites:**MTH 252; Term: fall, offered alternative years [even].

### Abstract Algebra MTH 380

An introduction to topics and applications of abstract algebra which includes an intensive study of fundamental algebraic structures such as groups, rings, and fields. This course also serves as an introduction to theoretical mathematics and proof-writing. Methods of proof utilized will include direct proof, proof by contradiction, proof by induction, and proof by cases. The course is writing-intensive and designed to develop mathematical maturity.

**Prerequisites:**MTH 265; Term: winter, offered alternate years [odd].

### Cooperative Field Experience MTH 388

Supervised work experience in activity related to area of specialization, which is planned in consultation with advisor, co-op supervisor and employer. Recording, reporting, and evaluation of experience will be required.

**Prerequisites:**Departmental approval, junior standing.

### Independent Study MTH 491

In-depth study of a student-selected topic in consultation with a faculty member.

**Prerequisites:**Permission of instructor, mathematics major, junior or senior status; Term: 1, 2.

### Senior Seminar: Library Research MTH 496A

Investigation of a significant mathematical problem with the direction of a faculty member. Use of computer for library informational searches, scientific writing, data analysis and word processing. Oral presentation and paper required. If you intend to take MTH 496A, you must inform the department in the preceding winter semester.

**Prerequisites:**Senior standing in the major; completion of general education and writing requirements; completion of preliminary summer library research project; Term: fall.

### Senior Seminar: Conclusion MTH 496B

The mathematical problem researched in MTH 496A is brought to a conclusion. An oral presentation and a final research paper are required.

**Prerequisites:**MTH 496A; Term: winter.