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Mathematics and Statistics
college trigonometry. Prerequisite: mathematics competency satisfied.
M149 Calculus with Precalculus II 4 credits
This course completes the two-semester sequence that begins with M148, and together with M148
provides a two-semester sequence that covers the material of a traditional Calculus I course along with
built-in coverage of precalculus topics. Topics in M149 include: trigonometric and inverse trigonometric
functions, rules for derivatives, applications of derivatives, and definite and indefinite integrals. Credit is
not granted for this course and M151. Prerequisite: M148.
M151 Calculus I 4 credits
This course provides an introduction to the differential and integral calculus. Topics include:
the concepts of function, limit, continuity, derivative, definite and indefinite integrals, and an
introduction to transcendental functions. Credit is not granted for this course and M148 and
M149. Prerequisites: departmental placement or courses equivalent to college algebra and college
trigonometry.
M152 Calculus II 4 credits
This course is a continuation of M151. Some of the topics of M151 are revisited at a higher
mathematical level. Topics include: limits, differentiation, applications of the definite integral,
inverse trigonometric functions, techniques of integration, improper integrals, indeterminate forms,
numerical methods for integration and approximation, curves in the plane given parametrically, polar
coordinates, and vectors in 2-space and 3-space. Prerequisite: Minimum grade of C in either M149 or
M151 or departmental placement.
M251 Calculus III 4 credits
This course continues the development of Calculus from M151 and M152. Topics include: sequences and
series, conic sections, and differentiation and integration of functions of several variables. Offered fall
semester. Prerequisite: Minimum grade of C in M152.
M252 Linear Algebra 4 credits
This course provides an introduction to techniques and applications of linear algebra. Topics include:
systems of linear equations, matrices, determinants, Euclidean n-space, real vector spaces, basis and
dimension, linear transformations, inner products, and eigenvalues and eigenvectors. Offered spring
semester. Prerequisite: Minimum grade of C in M152.
M301 Foundations of Advanced Mathematics 2 credits
This course looks at topics central to further study in mathematics. Topics include symbolic logic,
especially as it applies to mathematical proof; methods of mathematical proof such as direct proof,
indirect proof, proof by induction; use and meaning of mathematical quantifies and predicates; sets;
relations; equivalence relations and partitions; order relations; functions and their properties; and
complex numbers. A junior assessment test is administered as part of this course. Offered fall semester.
Prerequisite: M251 (may be concurrent).
M310 Combinatorics and Graph Theory 3 credits
This course provides an introduction to combinatorial and graph theoretical techniques in mathematics. It
is also designed for students in computer science. Topics include: sets, functions, combinatorial techniques,
graph theory, searching algorithms, and trees. Prerequisites: CS106 or CS110/111, and M152.
M315 Number Theory 3 credits
This course provides an introduction to elementary number theory. Topics include: divisibility,
prime and composite numbers, congruences, arithmetical functions, primality testing, factorization
techniques, and applications to cryptography. Prerequisite: M152.
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