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College Catalog 2015-2016 ARCHIVED CATALOG
Mathematics Courses
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Department of Mathematics
Computer Science
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COSC 120 - Computer Science I
Introduction to computer programming in a high-level language such as C, C++, or Java, emphasizing structured programming techniques, procedural methods and simple user-defined data structures.
3 credits -
COSC 190 - Selected Topics
May be repeated for credit.
1 to 4 credits -
COSC 220 - Computer Science II
Computer programming emphasizing data structures, algorithms, pointers, and low-level interface.
Pre-req: COSC 120
3 credits -
COSC 290 - Selected Topics
May be repeated for credit
1 to 4 credits -
COSC 295 - Independent Study
Credit and time arranged. May be repeated for credit.
1 to 4 credits -
COSC 390 - Selected Topics
May be repeated for credit
1 to 4 credits -
COSC 395 - Independent Study
Credit and time arranged. May be repeated for credit.
1 to 4 credits -
COSC 495 - Independent Study
Credit and time arranged. May be repeated for credit.
1 to 4 credits
Mathematics
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MATH 074 - Transition to College Mathematics
Arithmetic and Algebraic operations; number systems and notations; unit conversion; creating and interpreting graphs; basic geometry; other topics requisite for college level mathematics. Intended to prepare students for MATH 079 or MATH 080 . Students also expecting to take MATH 085 should take MATH 076 instead. Not open to those who have had MATH 076 , MATH 079 , MATH 080 , MATH 085 , MATH 139A , or MATH 141A .
3 credits -
MATH 076 - College Algebra
Basic properties of real number, linear equations and inequalities, quadratic equations, graphs of linear equations, conic sections. Intended to prepare students for MATH 079 , MATH 080 , or MATH 085 , PSYC 214 , or SOC 214 . Not open to those who have had MATH 085 , MATH 139A , or MATH 141A .
3 credits -
MATH 079 - Quantitative Reasoning
This course is designed to help students develop their ability to create, analyze, and communicate quantitative and scientific arguments. It will emphasize critical thinking and problem-solving skills while also giving students practice in computation and symbolic manipulation. Topics to be covered include elementary linear equations, polynomial modeling, working with and understanding graphs and graphical presentations, and elementary probability and statistics. These topics will be presented in the context of applications and models from various disciplines. Not open to those who have had MATH 085 , MATH 139A , or MATH 141A . Does not satisfy the prerequisite for MATH 085 , PSYC 214 , or SOC 214 .
Pre-req: MATH 074 , MATH 076 , or a score of 1 or higher on the Math Placement Exam
3 credits -
MATH 080 - Elementary Statistics
Descriptive Statistics: descriptive measures, probability concepts, discrete random variables, normal distribution. Inferential Statistics: sampling distributions, confidence intervals, hypothesis testing, Chi-square procedures, linear regression. Emphasis on methodology rather than theory. Not open to those who have had MATH 315 .
Pre-req: MATH 076 , MATH 079 , or a score of 2 or higher on the Math Placement Exam
3 credits -
MATH 085 - Precalculus Mathematics
Solutions of algebraic equations and inequalities; functions and graphs; exponential, logarithmic and trigonometric functions; plane analytic geometry. Recommended for those who plan to take the Calculus sequence but who did not score sufficiently high on the Math Placement Exam. Not open to those who have had MATH 076 , MATH 139A , or MATH 141A .
Pre-req: A C- or better in MATH 076 or a score of 2 or higher on the Math Placement Exam
3 credits -
MATH 139A - Integrated Precalculus & Calculus
Calculus I with a review of Precalculus. Topics include: functions of one real variable and their graphs, various types of functions (polynomials, rational functions, exponential, logarithmic, trigonometric, and discrete functions) derivatives of these functions, applications of derivatives, introduction to integrals of functions, Riemann Sums. MATH 139A and MATH 139B together are equivalent to MATH 141A .
Pre-req: A C- or better in MATH 085 or a score of 3 or higher on the Math Placement Exam
4 credits -
MATH 139B - Integrated Precalculus and Calculus
Calculus I with a review of Precalculus. Topics include: functions of one real variable and their graphs, various types of functions (polynomials, rational functions, exponential, logarithmic, trigonometric, and discrete functions) derivatives of these functions, applications of derivatives, introduction to integrals of functions, Riemann Sums. MATH 139A and 139B together are equivalent to MATH 141A .
Pre-req: A C- or better in MATH 139A
3 credits -
MATH 141A - Calculus & Analytical Geometry I
First semester of a three-semester unified course in analytic geometry and calculus: progresses from functions of one real variable, their derivatives and integrals, through multivariate calculus; topics from infinite series and differential equations. Must register for the same instructor for course and lab
Pre-req: A C- or better in MATH 085 or a score of 4 or higher on the Math Placement Exam
Co-req: MATH 141AL
4 credits -
MATH 141B - Calculus & Analytical Geometry II
Second semester of a three-semester unified course in analytic geometry and calculus: progresses from functions of one real variable, their derivatives and integrals, through multivariate calculus; topics from infinite series and differential equations. Must register for the same instructor for course and lab
Pre-req: A C- or better in MATH 139A /MATH 139B or MATH 141A
Co-req: MATH 141BL
4 credits -
MATH 190 - Selected Topics
May be repeated for credit
1 to 4 credits -
MATH 220 - Discrete Mathematics
Sequences; recursion and recurrence relations; finite-state automata; elementary set theory; graphs and trees; elementary probability and combinatorics.
Pre-req: A C- or better in MATH 139A /MATH 139B or MATH 141A
3 credits -
MATH 241 - Calculus & Analytical Geometry III
Continuation of MATH 141A /MATH 141B . Unified course in analytic geometry and calculus: progresses from functions of one real variable, their derivatives and integrals, through multivariate calculus; topics from infinite series and differential equations.
Pre-req: A C- or better in MATH 141B
Co-req: MATH 241L
4 credits -
MATH 242 - Introduction to Applied Elementary Linear Algebra
Introduction to linear algebra, including vector and matrix algebra, Gaussian elimination, determinants, real vector spaces, subspaces, dimension, the fundamental theorem of linear algebra, orthogonality, eigenvalues, and eigenvectors.
Pre-req: A C- or better in MATH 141B
3 credits -
MATH 280 - Abstract Thinking
Designed to bridge the gap between lower-and-upper-division mathematics courses. Deals with sets, applications of logic, propositional and predicate calculus, techniques of mathematical proofs, relations, functions, number systems, mathematical induction, algebraic structures.
Pre-req: A C- or better in MATH 141B
3 credits -
MATH 290 - Selected Topics
May be repeated for credit
1 to 4 credits -
MATH 295 - Independent Study
Credit and time arranged. May be repeated for credit.
1 to 4 credits -
MATH 300 - History of Mathematics
Selected topics in the development of mathematics will be discussed. A good background in mathematics is needed.
Pre-req: A C- or better in MATH 141B
3 credits -
MATH 305 - Number Theory
Euclidean algorithm; fundamental theorem of arithmetic; multiplicative functions; congruences; Chinese remainder theorem; Euler, Fermat, Wilson, and Lagrange’s theorems; Diophantine equations.
Pre-req: A C- or better in MATH 141B and MATH 280
3 credits -
MATH 315 - Probability and Statistics
Continuous random variables and their probability distributions, marginal and conditional probability distributions, functions of random variables, the Central Limit theorem, estimations; the method of maximum likelihood hypothesis testing, power of tests, The Neyman-Pearson lemma regression, linear statistical models, method of least squares.
Pre-req: A C- or better in MATH 241
3 credits -
MATH 320 - Advanced Geometry
Hilbert’s axioms for Euclidean geometry; non-Euclidean geometries; finite geometries; isometries in the Euclidean plane.
Pre-req: A C- or better in MATH 280
3 credits -
MATH 344 - Complex Variables
Algebra of complex numbers, theory and applications of functions of complex variables, contour integrals, conformal mappings, and boundary value problems.
Pre-req: A C- or better in MATH 241
3 credits -
MATH 345A - Differential Equations I
The theory of first-and second-order ordinary differential equations including their series solutions, introduction to Laplace Transforms with applications, including the solutions of differential equations, systems of ordinary linear differential equations, introduction to Fourier Series and integrals with applications, difference equations, partial differential equations with applications, introduction to the boundary and initial value problems and their applications. Also other selected topics in ordinary and partial differential equations depending on the particular emphases of the students in the class.
Pre-req: A C- or better in MATH 141B
3 credits -
MATH 345B - Differential Equations II
The theory of first and second-order ordinary differential equations including their series solutions, introduction to Laplace Transforms with applications, including the solutions of differential equations, systems of ordinary linear differential equations, introduction to Fourier Series and integrals with applications, difference equations, partial differential equations with applications, introduction to the boundary and initial value problems and their applications. Also other selected topics in ordinary and partial differential equations depending on the particular emphases of the students in the class.
Pre-req: A C- or better in MATH 345A
3 credits -
MATH 350 - Numerical Analysis
Numerical solutions of non-linear equations; interpolation; curve fitting; and estimation of error.
Pre-req: A C- or better in MATH 242 and
3 credits -
MATH 354 - Mathematical Modeling
Formulation and evaluation of models; continuous and stochastic models; sources of error; accuracy, precision and robustness; mathematical techniques used in modeling; analytical and numeric solutions; optimization.
Pre-req: A C- or better in MATH 242 and
3 credits -
MATH 360 - Point Set Topology
Metric spaces, sequences, continuity, connectedness, product spaces, separation axioms, compactness, topological spaces.
Pre-req: A C- or better in MATH 241 and MATH 280
3 credits -
MATH 380 - Linear Algebra
Vector spaces, linear transformations, similarity, eigenvectors, diagonalization, quadratic forms.
Pre-req: A C- or better in MATH 242 and MATH 280
3 credits -
MATH 390 - Selected Topics
May be repeated for credit
1 to 4 credits -
MATH 395 - Independent Study
Credit and time arranged. May be repeated for credit.
1 to 4 credits -
MATH 440A - Introduction to Analysis I
Topology of the Reals and Euclidean n-space; compact sets; Heine-Borel and Bolzano-Weierstrass Theorems; connected sets; mappings; continuity and uniform continuity; differentiability; uniform convergence; power series; Inverse Function Theorem; Implicit Function Theorem; Integration.
Pre-req: A C- or better in MATH 241 and MATH 280
3 credits -
MATH 440B - Introduction to Analysis II
Topology of the Reals and Euclidean n-space; compact sets; mappings; continuity and uniform continuity; connected sets; mappings; continuity and uniform continuity; differentiability; uniform convergence; power series; Inverse Function Theorem; Implicit Function Theorem; Integration.
Pre-req: A C- or better in MATH 241 and MATH 280
3 credits -
MATH 480A - Modern Algebra I
Sets, mappings, relations, operations, algebraic structures (groups, rings, fields, modules), homomorphisms, substructures, quotient structures, finite fields, field extensions, proof of impossibility of some geometric constructions using only compass and ruler, Galois Correspondence.
Pre-req: A C- or better in MATH 242 and MATH 280
3 credits -
MATH 480B - Modern Algebra II
Sets, mappings, relations, operations, algebraic structures (groups, rings, fields, modules), homomorphisms, substructures, quotient structures, finite fields, field extensions, proof of impossibility of some geometric constructions using only compass and ruler, Galois Correspondence.
Pre-req: A C- or better in MATH 480A
3 credits -
MATH 490 - Selected Topics
May be repeated for credit
1 to 4 credits -
MATH 491A - Senior Seminar I in Mathematics
Develops the student’s ability to learn mathematics independently and to write for a mathematical audience. Includes a significant expository or research paper and a public presentation. Must be taken in the fall semester of the senior year.
Pre-req: Instructor permission
1 credits -
MATH 491B - Senior Seminar II in Mathematics
Continuation of MATH 491A . Develops the student’s ability to learn mathematics independently and to write for a mathematical audience. Includes a significant expository or research paper and a public presentation.
Pre-req: MATH 491A
3 credits -
MATH 495 - Independent Study
Credit and time arranged. May be repeated for credit.
1 to 4 credits
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