Mathematics Minor

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Course Options

Required Courses:

MATH 152: Calculus I (4)

A study of the basic concepts and techniques of calculus for students in all disciplines. Topics include limits, differentiation, integration, and applications. This course is intended for students without any previous calculus credit. Prerequisite: Mathematics 116 or equivalent or ALEKS PPL score of 70 or higher by third class meeting.

MATH 153: Calculus II (4)

Continuation of Mathematics 152; a study of transcendental functions, integration techniques, Taylor series approximations, calculus in polar coordinates, vectors, calculus of vector valued functions and applications of calculus. Students with one semester of calculus credit should take this course instead of Mathematics 152. Prerequisite: grade of C- or higher in Mathematics 152 or equivalent.

MATH 203: Elementary Linear Algebra (3)

An introductory study of vectors, matrices, linear transformations, vector spaces, determinants, and their applications, with particular emphasis upon solving systems of linear equations. Pre or corequisite: Mathematics 153; or permission of instructor.

MATH 212: Discrete Structures (3)

A study of topics in discrete mathematics that are relevant to computer science and mathematics, including logic and proof, induction and recursion, elementary set theory, combinatorics, relations and functions, Boolean algebra, and introductory graph theory. Prerequisite: grade of C- or higher in Mathematics 152; or permission of instructor.

MATH 291: Problem-solving Seminar (1)

Problem-solving is at the heart of doing mathematics. This seminar provides unity to the concepts and approaches learned throughout the mathematics major and minors as it examines various problem-solving techniques. Weekly sessions will be devoted primarily to presenting problem-solving techniques and solving a variety of problems. Open to sophomores, juniors, and seniors. Graded on a pass/no-record basis. Prerequisite: grade of C- or higher in Mathematics 152; or permission of instructor.

MUST CHOOSE:

one course from Mathematics 303, 304, 311, 315

MATH 303: Advanced Linear Algebra (3)

An advanced study of vector spaces including matrices, linear transformations, orthogonality, the singular value decomposition, and applications. Prerequisite: Mathematics 203; or permission of instructor

MATH 304: Abstract Algebra I (3)

An introduction to algebraic structures focused on rings and fields. Connections between the ring of integers and the ring of polynomials over a field are developed and explored. Brief attention is given to groups. Prerequisite: grade of C- or higher in Mathematics 212; or permission of instructor.

MATH 311: Real Analysis I (3)

An introduction to the content and methods of single-variable real analysis: infinite sets, the real number system, sequences, limits, series, continuity, differentiation, and integration. Prerequisite: grade of C- or higher in Mathematics 212; or permission of instructor.

MATH 315: Complex Analysis (3)

A study of the complex number system, functions of complex numbers, integration, differentiation, power series, residues and poles, and conformal mappings. Prerequisite: grade of C- or higher in Mathematics 201; or permission of instructor.

one three credit mathematics course numbered above 201.