The paradigm below is one example of how this major may be completed. Students may use their elective credits to explore other majors or to enroll in skill-building courses in mathematics, reading, writing and/or study skills. With planning, students may use these credits to complete a minor, enroll in a practicum or internship, or study abroad.
|
||||||||||||||||||||||||
|
||||||||||||||||||||||||
|
||||||||||||||||||||||||
|
||||||||||||||||||||||||
|
||||||||||||||||||||||||
|
||||||||||||||||||||||||
|
||||||||||||||||||||||||
|
||||||||||||||||||||||||
| * Students may take C110/111 Computer Science I & Lab in place of CS106. | ||||||||||||||||||||||||
It is the responsibility of the student to complete all major and university requirements. Please refer to the university catalog for additional information regarding this major. Course title and content is subject to change. Not all courses are offered each semester or year. Please consult with your major advisor for the most current information.
Students enrolled in the Lasallian Honors Program should consult the program director for the appropriate sequence of courses.
(From the 2011-13 Catalog)
A. Calculus Core
All of the following:
(Either M148 and M149 or M151)
M148 - Calculus with Precalculus I (4 credits)
This course, followed by M149, 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 M148 include: solving equations, functions, classes of functions (polynomial, rational, algebraic, exponential, logarithmic), right triangle trigonometry, angle measure, limits and continuity, derivatives, rules for derivatives. Credit is not granted for this course and M151 or courses equivalent to college algebra and 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.
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 cannot be granted for this course and M308 or M309.Prerequisites: M115 and M116, or departmental placement.
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.
B. Mathematics Core
All of the following:
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).
M332 - Probability (2 credits)
This calculus-based course is designed to provide mathematics majors and minors with an introduction to the mathematical underpinnings of statistics. Topics include: probability axioms, probability, Bayes’ Theorem, random variables, discrete and continuous probability distributions, and expected value.
Offered spring semester. Prerequisite: M152.
M401 - Abstract Algebra (3 credits)
This course provides an introduction to algebraic structures. Topics include: groups, subgroups, quotient groups, group homomorphisms, rings, ideals, and fields.
Offered in alternate spring semesters. Prerequisites: M251, M252, and M301.
M411 - Introduction to Analysis (3 credits)
This course provides a rigorous treatment of topics in calculus. Topics include: sequences, functions, limits, continuity, derivatives, and integration.
Offered in alternate spring semesters. Prerequisites: M251, M252, and M301.
M491 - Senior Seminar (2 credits)
This course consists of student presentations from mathematics, mathematical modeling, mathematics education, or statistics. Each student chooses a topic in consultation with the instructor, do appropriate background reading, and prepare an oral presentation and written paper on the topic. A senior assessment test is administered as part of this course.
Offered spring semester. Prerequisite: senior mathematics major.
ST232 - Introduction to Statistics (2 credits)
This course is designed to provide the basic ideas and techniques of statistics. Topics include: descriptive and inferential statistics, an intuitive introduction to probability, estimation, hypothesis testing, chi-square tests, regression and correlation. This course makes significant use of appropriate technology. Topics in this course is treated at a higher mathematical level than they are treated in ST132.
Credit is not granted for this course and any of the following: BU215, B392 or ST132. Offered fall semester. Prerequisite: departmental placement or minimum C grade in M148.
Prerequisites:
M115 College Algebra
C. Four additional upper-division courses. At least three of these must be in mathematics or statistics (may not be M408). The fourth may be in another field using mathematics with the approval of the major advisor and the department chair.
D. Either CS106 or CS110 and CS111
CS106 - Introduction to Programming for Sciences (3 credits)
This course teaches introductory programming within a problem solving framework applicable to the sciences. The course emphasizes technical programming, introductory data storage techniques, and the processing of scientific data. There is an emphasis on designing and writing correct code using an easy to learn scientific programming language such as Python. Advanced excel spreadsheet concepts will be taught and utilized during the programming process.
Prerequisite: mathematics competency.
CS110 - Computer Science I: Introduction to Programming (3 credits)
This course introduces students to the practice of software development. Students learn the fundamentals of programming, algorithm development, and basic design principles.
Offered spring semester. Prerequisite: CS101; concurrent with CS111.
CS111 - Computer Science I Laboratory (1 credit)
The laboratory course complements CS110 by using programming exercises to reinforce concepts and practices covered in CS110 lectures.
Offered spring semester. Prerequisite: CS101; concurrent with CS110.












