2012-2013 Courses
Fall 2012 |
Spring 2013 |
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MATH 210: Basic Concepts | 3 SH | MATH 210: Basic Concepts I | 3 SH |
MATH 220: College Algebra | 3 SH | MATH 211: Basic Concepts II | 3 SH |
MATH 302: Calculus I | 4 SH | MATH 220: College Algebra | 3 SH |
MATH 400: Linear Algebra | 3 SH | MATH 235: College Trigonometry | 3 SH |
MATH 410 (WI): Modern Geometry | 3 SH | MATH 303: Calculus II | 4 SH |
MATH 411: Calculus III | 3 SH | MATH 412: Calculus IV | 3 SH |
MATH 420: Differential Equations | 3 SH | MATH 430: Discrete Methods | 3 SH |
MATH 503 (WI): Math Analysis I | 3 SH | MATH 502 (WI): Abstract Algebra | 3 SH |
MATH 520: Numerical Analysis | 3 SH | ||
MATH 530: Theory of Numbers | 3 SH | ||
MATH 570: Math Seminar | 1 SH |
Mathematics Homepage
Welcome to the Department of Mathematics
The department is located in Harris Science building. The classrooms and faculty are on the basement in H06, third floor in H305, and the second floor of Stokes Student Center in SCS 208, and SCS 213. The Department Head is Dr. Ying Yaemsiri-King, email yaemsiri.king@pfeiffer.edu.
Welcome to the Department of Mathematics at Pfeiffer University
Classes at Pfeiffer are small so as to emphasize personal interaction between students and faculty. Introductory mathematics courses such as College Algebra may have up to 35 students. The advanced classes are often small, ranging from 5 to 15 students. Pfeiffer students have an opportunity to extend their mathematical learning by working one-on-one with a faculty member through independent studies.
The Pfeiffer mathematics curriculum provides a solid foundation in mathematics, along with an introduction to different areas in the mathematics sciences, including computer information, applied mathematics and secondary education (K 9-12). This broad background prepares our students for graduate and professional schools, as well as for careers in applied mathematics or teaching. The department also offers co-majors in math-computer. There are specific course requirements to complete a Mathematics degree.
Mathematics classes are enhanced by modern computer facilities available in the math lab, which is located in Harris Science room 06B2 on the first floor. Students have access to mathematical software, as well as to resources of the internet and the college library catalog, through a campus computer network.
The faculty and math students have a strong relationship through the math club. The group meets several times a year for special events or projects that the members desire. The Math Department also sponsors the Jean Mobley Award which is usually given every year to a math major.
The department is located in Harris Science building. The classrooms and faculty are on the basement in H06, third floor in H305, and the second floor of Stokes Student Center in SCS 208, and SCS 213. The Department Head is Dr. Ying Yaemsiri-King, email yaemsiri.king@pfeiffer.edu.
Pictured (left to right): Math Faculty - Dr John Grosvenor, Prof. Ross Braymer, and Dr. Ying Yaemsiri-King
Mathematics-Courses Offered
MATH 210 | Basic Mathematical Concepts I | F;S | 3 SH |
Significance of mathematics in human culture; conceptual aspects of mathematical thought. Topics selected from: logic, real numbers, elementary algebra and geometry, probability and statistics, matrices, and computers. Designed for the mathematics requirement in general education for the non-science, non-business major. Does not count toward the Mathematics major. |
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MATH 211 | Basic Mathematical Concepts II | S | 3 SH |
Geometric patterns; measurement; planar and solid figures and their properties; geometric construction; informal topology; geometric transformations; congruence and grid motion; symmetry and similarity. Prerequisite: MATH 210. |
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MATH 220 | College Algebra | F;S | 3 SH |
Basic concepts of algebra; sets; algebraic operations; linear equations and systems of equations; radicals and quadratic equations; equations of degree higher than two; matrix algebra. This is the basic course for all subsequent courses in Mathematics. |
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MATH 235 | College Trigonometry | S | 3 SH |
Trigonometric functions, identities, and inverse functions; triangles, vectors and applications, exponential and logarithmic functions. Prerequisite: MATH 220. |
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MATH 302 | Calculus with Analytical Geometry I | F | 4 SH |
An integrated study of analytic geometry and the calculus; fundamental concepts of variables and functions; limits and continuity; differentiation and applications of differentiation; integration. |
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MATH 303 | Calculus with Analytical Geometry II | S | 4 SH |
An integrated study of analytic geometry and the calculus; integration and applications of integration; logarithmic and exponential functions; trigonometric functions; further techniques of integration. Prerequisite: MATH 302. |
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MATH 400 | Linear Algebra | F | 3 SH |
Matrices; systems of linear equations; determinants; vectors and vector spaces; linear transformations; eigen values, associated eigen vectors; solving differential equations by using eigen values. Prerequisite or corequisite: MATH 302. |
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MATH 410 | Modern Geometry | F even | 3 SH |
Geometry of two and three dimensions from an advanced viewpoint. Topics selected from: the incidence geometry of planes and space; similarities and congruences; geometric inequalities; absolute geometry; the parallel postulate and parallel projection; polygonal regions; circles and spheres. This is a writing intensive course. Prerequisite: MATH 303. |
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MATH 411 | Calculus III | F | 3 SH |
Conic sections; polar coordinates; infinite series; parametric equations; solid analytic geometry. Prerequisite: MATH 303. |
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MATH 412 | Calculus IV | S | 3 SH |
Functions of several variables; multiple and line integrals; vectors. Prerequisite: MATH 411. |
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MATH 420 | Differential Equations | F | 3 SH |
Basic concepts, theorems, methods, and applications of ordinary differential equations. Prerequisite: MATH 303. |
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MATH 430 | Discrete Methods | S | 3 SH |
An introduction to the basic techniques and modes of reasoning or combinatorial problem solving. Topics selected from graph theory and combinatorics, including: basic properties of graphs and digraphs; graph coloring; trees; Eulerian and Hamiltonian circuits; elementary counting principles; permutations and combinations; inclusion/ exclusion principle; and recurrence relations. Prerequisite: MATH 303. |
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MATH 440 | Probability and Statistics I | F odd | 3 SH |
Probability; discrete variables and their probability distributions; continuous random variables and their probability distributions. Calculus-based. Prerequisite: MATH 303. |
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MATH 441 | Probability and Statistics II | S even | 3 SH |
Functions of random variables; multivariate probability distributions; sampling distributions and the central limit theorem; estimation and hypothesis testing. Prerequisite: MATH 440. |
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MATH 497 | Internship in the Mathematical Sciences | S | 3 SH |
This course will provide students with an opportunity to participate in work experiences within mathematically related subjects. Students will be involved in a local high school and in Math 101 at Pfeiffer assuming designated servant leadership with specific tasks to be completed during the term. This hands-on experience integrates practical experience with classroom knowledge. Under the supervision of Pfeiffer mathematics faculty and a local schoolteacher, the student will develop a course contract to be agreed upon by the student, mathematics faculty member, and the Chair of the Mathematics Department. The student will be required to keep log time of activities and written reports. The local schoolteacher will also submit a written evaluation at the completion of the internship. Students are expected to complete 90 hours total for the semester credit received. Forty-five hours will be spent teaching Math 101, one class per week, grading and preparing for the lesson plan. Teaching at Pfeiffer will be under the supervision of math faculty. Math faculty must approve all lesson plans. Another forty-five hours will be through Gray Stone Day School. Prerequisite: Math 412. This course does not count toward the math major. |
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MATH 502 (WI) | Abstract Algebra | S | 3 SH |
Structure of the number system; basic algebraic properties groups, rings, integral domains, and fields. This is a writing intensive course. Prerequisite: MATH 400. |
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MATH 503 (WI) | Mathematical Analysis I | F even | 3 SH |
A re-examination and in-depth extension of the concepts of limits, continuity, derivative, and integral to one and several variables. This is a writing intensive course. Prerequisite: MATH 412. |
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MATH 504 (WI) | Mathematical Analysis II | S odd | 3 SH |
Functions of several variables; partial differentiation; implicit and inverse function theorems; point-set theory; continuous functions; integration theory. This is a writing intensive course. Prerequisite: MATH 503. |
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MATH 510 | Complex Variables | F odd | 3 SH |
A study of complex numbers, analytic functions, elementary functions, integrals, residues, series and poles. Prerequisite: MATH 412. |
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MATH 520 | Numerical Analysis | S odd | 3 SH |
Computer arithmetic, systems of equations; interpolating polynomials; numerical methods applied to integration and differential equations; root solving. Prerequisites: MATH 400, MATH 420 and COMP 265 or above. |
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MATH 530 | Theory of Numbers | S even | 3 SH |
Properties of numbers, divisibility, primes, congruence of numbers, Diophantine equations, arithmetic functions and Fermat's Theorem. Prerequisite: MATH 412. |
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MATH 570 | Math Seminar | S | 1 SH |
Faculty and students will give talks on topics of interest. Each student will also prepare a research paper. Prerequisite: Junior status in mathematics and completion of MATH 412. |
Mathematics-Degree Requirements
Major
58 SH Minimum |
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MATH 302 |
Calculus I |
MATH 412 |
Calculus IV |
MATH 303 |
Calculus II |
MATH 420 |
Differential Equations |
MATH 400 |
Linear Algebra |
MATH 502 |
Abstract Algebra |
MATH 411 |
Calculus III |
MATH 570 |
Math Seminar |
PHYS 303 |
Calculus-Based General Physics |
PHYS 304 |
Calculus-Based General Physics II |
- Plus additional courses in Mathematics at 400 level or above to reach 58 SH minimum.
- Choose one of the following two course sequences:
- CHEM 301 General Chemistry I and CHEM 302 General Chemistry II
- BIOL 211 General Biology I and BIOL 212 General Biology II - Two COMP courses (courses selected must be approved by Mathematics Program Chair).
- In order to meet state certification requirements, students planning to teach secondary school mathematics must take, in addition to the courses listed above, MATH 410 and MATH 430 AND either MATH 440 or MATH 503
- Reading qualification in French or German is recommended for students considering graduate work in Mathematics
Minor
20 SH Minimum
Courses are to be taken in sequence until the minimum semester hour requirement is met.
MATH 220 |
College Algebra |
MATH 302 |
Calculus I |
MATH 235 |
College Trigonometry |
MATH 303 |
Calculus II |
- Plus additional courses taken at 400 level or above to complete minor in Mathematics. If students start their minor with MATH 302, the semester hour requirement is reduced to 17.