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College of Natural and Applied Sciences

Undergraduate Program


Undergraduate Program Course Listing


 Syllabi 

MA085 (3 NDUS): FUNDAMENTALS OF MATHEMATICS (Levels I, II): F/SP 

This course is a study of the fundamental concepts of high school mathematics, including arithmetic and algebra.  This course is lecture-based with laboratory sessions designed to provide the background necessary for advancement in mathematics.  It includes 3 lecture hours and 1½ hours of laboratory for review/testing sessions weekly.  Grades for students in Level I are A1, B1, C1, D1, or F1. Grades for students in Level II are C2, B2, or A2 before they can exit MA085 to enroll in MA 110, MA 115, or MA 151. Prerequisite:  Mathematics Placement Test.


MA110 (3): FINITE MATHEMATICS: F/SP 
This course covers linear, quadratic, polynomial, exponential and logarithmic functions, and their applications to finance and economics. The course also provides an introduction to solving systems of linear equations, matrix operations, and a treatment of linear programming which includes the simplex method. This course satisfies the GE requirement, but does not satisfy any prerequisite for higeher level mathematics courses. It is intended for those students who have no furthur needs in mathematics. Prerequisite: Grade of C2, B2 or A2 in MA085 Level II completed within the previous 3 semesters or placement.


MA115 (3): INTERMEDIATE ALGEBRA: F/SP 
This course prepares students for MA161a-b or MA165.  Topics include polynomial equations; radical expressions; systems of equations and inequalities; functions; inverse functions; graphing; rational, exponential, and logarithmic functions; and application problems.  This course satisfies the GE requirement.  It is intended for those students who continue their studies in mathematics after completing this course.  Prerequisite: Grade of C2, B2 or A2 in MA085 Level II, completed within the previous 3 semesters, or placement.


MA151 (3): INTRODUCTORY STATISTICS: F/SP/DE

This course presents statistical methods as applied to the description and display of data, and to drawing conclusions from statistical data, and introduces the basic probability theory needed to understand and use the techniques of elementary statistics. Prerequisite: Grade of C2, B2, or A2 in MA 085 level II completed within the previous 3 semesters, or placement.


MA161 a-b (3-3): COLLEGE ALGEBRA AND TRIGONOMETRY: F/SP 

MA161a includes algebraic, exponential and logarithmic functions, systems of equations and inequalities. MA161b includes trigonometry, additional algebraic functions, sequences, series and probability. A student may receive credit for either the MA161a-b sequence or the MA 165 course, but not a combination of the two. Prerequisite: Grade of C or better in MA115 or placement.


MA165 (5): PRECALCULUS: F/SP 

Topics include algebraic, exponential and logarithmic functions; systems of equations and inequalities; trigonometry; sequences and series. A student may receive credit for either the MA161a-b sequence or the MA 165 course, but not a combination of the two. Prerequisite: Grade of C or better in MA115 or placement.


MA203 (5): CALCULUS I: F/SP 

This is the first semester of a standard calculus course. Topics include limits; continuity; the definition of derivatives; derivatives of algebraic and transcendental functions; product, quotient, and chain rules; applications; and Reimann Sums. Prerequisite: Grade of C or better in MA161b or MA165 or placement or equivalent.


MA204 (5): CALCULUS II: F/SP 

This is the second semester of a standard calculus course. Topics include techniques and applications of integration, differential equations, power series, and Taylor series. Prerequisite: Grade of C or better in MA203.


MA205 (3): MULTIVARIABLE CALCULUS: F 
This course covers the calculus of functions of several variables, including partial differentiation and multiple integration. Prerequisite: Grade of C or better in MA204.


MA301 (3): DIFFERENTIAL EQUATIONS: SP/Even Years 
This course covers the study of the fundamental concepts of differential equations with applications. Prerequisite: Grade of C or better in MA204.


MA302 (3): FOUNDATIONS OF HIGHER MATHEMATICS: SP 
This course provides a careful introduction to mathematical reasoning using definitions and proofs. Topics covered include set theory, logic and mathematical induction. Prerequisite: Grade of C or better in MA205.


MA341 (3): LINEAR ALGEBRA: F 
Topics covered include vectors, vector spaces, subspaces, linear dependence, matrices, determinants, Euclidean spaces and linear equations. Prerequisite: Grade of C or better in MA204.


MA351 (3): DISCRETE STRUCTURES: SP 
This course introduces the rigorous theoretical framework within which ideas about computer science can be expressed. Prerequisite: Grade of C or better in MA204.


MA361 (3): NUMBER THEORY: F/Odd Years 
This course covers the study of the properties of integers, congruencies, diophantine equations, prime numbers and residue classes. Prerequisite: Grades of C or better in both MA205 and MA302.


MA375 (3): NUMERICAL METHODS AND SOFTWARE: SP/Odd Years 
This course is an introduction to such topics as interpolation, integration, solutions of linear systems of equations, solutions of linear and nonlinear equations, and solutions of ordinary differential equations. It includes the use of numerical software libraries. Prerequisite: Grade of C or better in MA204 and MA341, CS201 or CS202.


MA385 (3): APPLIED STATISTICS: F/SP 
This course covers: statistical inference, sampling theory, hypothesis testing, correlation, and non-parametric statistics as applied to the social, life and physical sciences and to business. Prerequisite: Grade of C or better in MA151 or equivalent course.

 

MA/BI387 (4): STATISTICS FOR SCIENCES: SP

The topics include exploring data in graphs and in numerical values, introducing basic probability theory for statistics, sampling distributions, estimation theory, testing hypothesis, correlation, variance analysis, and non-parametric statistics. Students develop their own statistical programs to solve statistical problems. Prerequisite: Grade C or better in MA161a or higher. Students enrolled in MA387 Statistics for Sciences for credit may NOT also earn credit for MA385 Applied Statistics.


MA392 (1-2): LABORATORY TEACHING AND ASSISTING: F/SP 
This course provides for practical educational experiences in teaching and assisting with developmental math classes. It may not be used for more than two upper division elective credits. Prerequisite: C or better in MA203 or consent of instructor. Grades are P (Pass) or F (Fail).


MA411 (3): INTRODUCTION TO ABSTRACT ALGEBRA: SP/Even Years 
This course offers a study of modern algebra with topics from group theory and ring theory. Prerequisites: Grades of C or better in both MA205 and MA302.


MA421 (3): INTRODUCTION TO ANALYSIS I: F
This is the first course in a two-semester sequence designed to provide an introduction to the rigorous study of the foundations of calculus. Topics covered include the completeness of the real numbers, elementary topology, continuous functions, and numerical sequences and series. Prerequisites: A grade of C or better in MA205 and MA302.


MA422 (3): INTRODUCTION TO ANALYSIS II: SP
This is the second course in a two-semester sequence designed to provide an introduction to the rigorous study of the foundations of calculus. Topics covered include differentiation, integration, sequences and series of functions. Prerequisites: A grade of C or better in MA421


MA431/G (3): TOPICS IN ADVANCED MATHEMATICS: As Resources Permit 
This course offers selected topics in advanced mathematics such as topology, mathematical induction, non-Euclidean geometries. Different subject matter may be repeated for credit. Prerequisite: Grades of C or above in MA205 and MA302.


MA441 (3): MODERN GEOMETRY: As Resources Permit 
This course treats non-Euclidean and advanced Euclidean geometry. Prerequisites: Grades of C or better in both MA205 and MA302.


MA451 (3): PROBABILITY AND STATISTICS: As Resources Permit 
This course covers probability models and distributions, including univariate and multivariate distributions, and provides an introduction to parametric and nonparametric decision theory. Prerequisites: MA151 or equivalent and grade of C or better in MA302.


MA453 (3): OPERATIONS RESEARCH MODELS: As Resources Permit 
Operations research models are designed to optimize, maximize, or minimize real world processes. Computer methods and packages are included for linear and dynamic programming, life and death processes, P.E.R.T.-C.P.M., trend analysis and queuing theory. Prerequisites: MA341 and either MA385 or MA387.


MA460 (3): NUMERICAL LINEAR ALGEBRA: As Resources Permit 
The course covers topics such as numerical solutions to systems of linear equations; linear least squares problems; eigenvalue and eigenvector problems. Methods include Gauss-Jordan elimination, Seidel iterating, the QR algorithm, and linear optimization. It includes the use of numerical software libraries. Prerequisite: Grades of C or better in MA205, MA302, and MA375. 


MA461 (3): NUMERICAL ANALYSIS: As Resources Permit 
The course covers: root finding for non-linear equations, numerical integration, numerical methods for ordinary differential equations, interpolation theory, and approximation functions. The course makes use of numerical software libraries. Prerequisite: Grades of C or better in MA205, MA302, and MA375.