The analytical reasoning and problem-solving skills that one develops while studying mathematics are valued by employers, opening a variety of career doors. PC’s mathematics department offers three different learning tracks: concentrated math for those interested in math as a career or continue to graduate school; applied math for those students who want to combine their study of mathematics with an in-depth study of a second subject; and mathematics in the classroom.

106. Trigonometry (3)
A pre-calculus course emphasizing analytic trigonometry and the thorough study of the trigonometric functions. Topics include right triangle and unit circle approaches to trigonometry, graphs of functions, inverse trigonometric functions, trigonometric identities, solving equations, and applications to triangles via the Law of Sines and the Law of Cosines.

108. Finite Mathematics (3)
A study of selected topics from finite mathematics: finance (including annuities), systems of equations, applications of matrices, counting methods, elementary set theory, and basic probability and statistics.

200. Modern Mathematics for Teachers (3) (For early childhood education majors only; does not satisfy the general education requirement in mathematics) Introductory topics include set theory, numeration systems, computational algorithms, probability, measurement, the metric system, constructions networks, and data collection and display. This course makes use of concrete manipulatives in a laboratory setting and is required for pre-service elementary teachers.

201. Calculus I and Analytic Geometry (3) (Prereq: MATH 106 or consent of department; students may not receive credit for both MATH 201 and MATH 211)
The first of a four-course sequence of calculus and analytic geometry. Although topics covered in each of the four courses will vary with the textbook used, this course includes topics from analytic geometry, limits, continuity of functions, the derivative, differentiation techniques for algebraic and trigonometric functions, and applications of the derivative to graphing, maxima/minima problems, and related rates.

202. Calculus II (3) (Prereq: MATH 201; math majors must make a grade of “C” or better)
A continuation of MATH 201 with the definite integral; applications of the definite integral in finding areas, volumes, work, and arc length; differentiation and integration of exponential, logarithmic, and other transcendental functions; and techniques of integration, including integration by parts, substitutions, partial fractions, and tables.

208. Discrete Mathematics (3) (Prereq: completion of general education requirement in mathematics)
An introduction to discrete mathematics. Topics include set theory, logic, mathematical induction, discrete functions, recurrence relations, algorithms, graph theory, and combinatorics. (Fall)

211. Calculus for the Social and Biological Sciences (3) (Prereq: MATH 106 or 108, or consent of department; students may not receive credit for both MATH 201 and MATH 211)
A one-semester introduction to the differential and integral calculus of algebraic, exponential, and logarithmic functions with applications in the social and biological sciences, including business and economics. This is a terminal course and does not prepare the student for MATH 202.

221. Transition to Advanced Mathematics (3) (Prereq: MATH 202, or MATH 201 and the consent of the department. Math majors must make a grade of “C” or better)
This course is a prerequisite for MATH 305, 307, 309, 311, 313, and 405, and is required for all math majors and minors. It is designed to prepare a student for advanced math courses and will cover concepts and techniques used in studying logic, proofs, set theory, relations, functions, and cardinality of sets.

258. Special Topics (1-6). See page 37 in Book of Majors.

301. Calculus III (3) (Prereq: MATH 202 or consent of the department)
A continuation of MATH 201 and 202. Topics covered will include indeterminate forms, improper integrals, sequences and series, power series, conic sections, and curves given by parametric and polar equations with applications of derivatives and integrals to these curves.

302. Calculus IV (3) (Prereq: MATH 301)
The last course in the four-course calculus sequence. Topics are multivariate calculus, including solid analytic geometry; vectors in three dimensions; vector-valued functions, functions of several variables; partial derivatives; and multiple integrals.

305. Complex Variables (3) (Prereq: MATH 221 and 302)
This course is a study of the complex plane and the calculus of functions of a complex variable. Topics to be considered include the algebra and geometry of complex numbers, limits and derivatives of functions of a complex variable, the Cauchy-Riemann equations, contour integrals, Taylor and Laurent series, and residues. (Fall, alternate years)

307. Linear Algebra (3) (Prereq: MATH 202 and 221)
A study of vector spaces, subspaces, bases, and dimension with applications to solving systems of equations. Also includes linear transformations, representation
of linear transformations by matrices, eigenvalues, eigenvectors, and diagonalizing matrices. (Spring)

309. Modern College Geometry (3) (Prereq: MATH 201 and 221)
A study of the axiomatic method, neutral geometry, plane Euclidean geometry, and plane hyperbolic geometry. (Fall, alternate years)

311. Mathematical Statistics (3) (Prereq: MATH 221 and 302, or MATH 221 and 301 with consent of instructor)
A calculus-based introduction to probability with some application to statistics. (Spring, alternate years)

313-314. Abstract Algebra (3 each sem) (Prereq: MATH 202 and 221, or consent of department)
These courses cover algebraic structures such as groups, subgroups, quotient groups, rings, ideals, integral domains, fields, and polynomial rings and the relationships of these structures to the number system. (alternate years)

350. Numerical Methods (3) (Prereq: CSC 250 or 241 and MATH 202 or consent of instructor; cross-listed with computer science)
A study of the use of the computer to solve mathematical problems of interest to scientists and engineers. Topics include function approximation, numerical differentiation and integration, systems of linear equations, least-squares fitting, function minimization, and Monte-Carlo methods. Special emphasis is placed on using matrix methods where appropriate. Students are expected to write several programs illustrating these topics. (Spring, alternate years)

398. Honors Research (3-6). See page 44.
Available for students during the junior and senior years with approval of the departmental faculty. Students with a 3.20 GPA in all courses and a 3.40 GPA in major courses may undertake an honors research program. Oral and written presentations of the results of the project will be required. Students who successfully complete the departmental honors research program will graduate with honors in the major discipline. (Fall or Spring, or Fall and Spring)

401. Differential Equations (3) (Prereq: MATH 302 or 301 with consent of instructor)
This course includes first and second order differential equations and linear equations with constant and variable coefficients. (Spring)

405-406. Introduction to Analysis (3 each sem) (Prereq: MATH 221 and 302)
These courses include topics such as the real number system, the completeness property, numerical sequences and series, continuity and uniform continuity of functions, differentiation, the Riemann integral, sequences and series of functions, and metric spaces (Alternate years)

442. Directed Study in Mathematics (1 to 3). See page 36.
Hours and credit arranged to meet the needs of the student. Open to junior and senior departmental majors by special permission. Subject matter pertaining to the student’s field of interest.

444. Internships. See page 37.
446. Readings. See page 37.
448. Research. See page 37.
450. Seminar. See page 37.
452. Special Projects. See page 37.
458. Special Topics. See page 37.

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