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Barton College · Courses

MTH

25 courses with the subject MTH, each shown exactly as we captured it from the college's catalog, with every element we hold. Where the wording looks broken, that is our reading of the catalog, not the college's text.

MTH 100Fundamentals of Algebra3

Course prepares the student for college level computational skills by focusing on elementary algebraic operations. Topics include properties and operations of real numbers, equations, inequalities, polynomials, and graphing. Fall, Spring. Note 1: This course does not count toward fulfillment of the Quantitative Reasoning Requirement of the General Education Core. This course is for institutional credit only; credit hours do not apply toward the graduation requirement. Note 2: A grade of C- or higher is required in order to take the next course.

Subject
MTH
Credits (min)
3
Credits (max)
3
Type
course
Edition
2023-2024
Source
www.barton.edu
MTH 120Finite Mathematics. 3

Covers the techniques used in decision-making in a diversity of disciplines. Emphasis is on applications and problem-solving by focusing on the process of mathematical modeling and on analyzing the models. The use of a graphing calculator is required. Fall, Spring. Note: Satisfies the General Education Core requirement in Quantitative Reasoning. Students who earn credit for MTH 130 may not also earn credit for MTH 120. Use of graphing calculator is required.

Subject
MTH
Type
course
Edition
2019-2020
Source
www.barton.edu
Prerequisite
MTH 100 (with a grade of C- or higher) or Level II placement.
MTH 130College Algebra3

This course is designed to study algebraic topics which are fundamental to the study of calculus. The course provides a foundation in quantitative literacy and supplies the algebra and other mathematical skills needed in partner STEM disciplines. Emphasis is placed on analysis of various functions (linear, quadratic, absolute value, radical, polynomial, rational, exponential, and logarithmic) given in multiple representations, solving equations/inequalities, and solving systems of equations/inequalities. Upon completion of this course, students should be able to find solutions to algebra-related problems by selecting, building, and using appropriate models and techniques. Note: Satisfies the General Education Core requirement in Quantitative Reasoning. Use of graphing calculator is required.

Subject
MTH
Credits (min)
3
Credits (max)
3
Type
course
Edition
2023-2024
Source
www.barton.edu
Prerequisite
MTH 100 (with a grade of C- or higher) or Level II placement.
MTH 150Trigonometry and Advanced Algebraic Topics3

This course is designed to study trigonometric topics which are fundamental to the study of calculus. Emphasis is placed on the analysis of trigonometric functions in multiple representations, solving right and oblique triangles, trigonometric identities, and equations, vectors, polar coordinates, and parametric equations, as well as trigonometric applications. Upon completion of this course, students should be able to find solutions to trigonometry-related problems by selecting, building, and using appropriate models and techniques. Note: A student who has already received credit for MTH 240 may not enroll in this course.

Subject
MTH
Credits (min)
3
Credits (max)
3
Credit unit
semester hours
Type
course
Edition
2023-2024
Source
www.barton.edu
Prerequisite
MTH 130 or Level III placement.
MTH 170Calculus I, Differential Calculus. 4

A study of differential calculus of algebraic, trigonometric, and transcendental functions, including a brief introduction to antiderivatives. Fall only.

Subject
MTH
Type
course
Edition
2010-2011
Source
www.barton.edu
Prerequisite
MTH 150 (or equivalent).
MTH 210Fundamental Concepts of Mathematics3

A study of number systems’ structured characteristics, axiomatic and logical foundations; systematic development of the integers, rational numbers, real numbers, real numbers properties, and informal geometry. Fall, Spring. No prerequisite required for lateral-entry teachers.

Subject
MTH
Credits (min)
3
Credits (max)
3
Type
course
Edition
2023-2024
Source
www.barton.edu
Prerequisite
QRT 120 or MTH 130 (or equivalent) and Level III (or higher) placement.
MTH 240Calculus I, Differential Calculus4

A study of differential calculus of algebraic, trigonometric, and transcendental functions, including a brief introduction to anti-derivatives. Fall only.

Subject
MTH
Credits (min)
4
Credits (max)
4
Type
course
Edition
2023-2024
Source
www.barton.edu
Prerequisite
MTH 150 (or equivalent) or Level IV placement.
MTH 241Calculus II, Integral Calculus4

A study of integral calculus of algebraic, trigometric, and transcendental functions, including indeterminate forms, improper integrals, and infinite series. Spring.*

Subject
MTH
Credits (min)
4
Credits (max)
4
Type
course
Edition
2023-2024
Source
www.barton.edu
Prerequisite
MTH 240.
MTH 250Statistical Concepts3

A first course in probability and statistics for the student majoring in any of the academic disciplines. Emphasis on general descriptive statistics, fundamental concepts and procedures of statistical inference. Course serves as a foundation for further study of hypothesis testing techniques applicable to individual disciplines. Fall, Spring. Note: To receive credit for this course, the student may not take BUS 210.

Subject
MTH
Credits (min)
3
Credits (max)
3
Type
course
Edition
2023-2024
Source
www.barton.edu
Prerequisite
QRT 120 or MTH 130 (or equivalent) or Level III (or higher) placement.
MTH 260Discrete Mathematics I. 3

An introduction to discrete mathematics, logic, set theory, summation and product notation, relations, matrices, functions, binomial theorem, counting principles, and an introduction to graph theory. Course is intended to develop abstract reasoning skills necessary in mathematics and computer science. Spring.

Subject
MTH
Type
course
Edition
2010-2011
Source
www.barton.edu
Prerequisite
MTH 120 or 130 (or equivalent).
MTH 270Calculus II, Integral Calculus. 4

A study of integral calculus of algebraic, trigometric, and transcendental functions, including indeterminate forms, improper integrals, and infinite series. Spring.*

Subject
MTH
Type
course
Edition
2010-2011
Source
www.barton.edu
Prerequisite
MTH 170.
MTH 280Transition to Higher Mathematics3

An introduction to the standard methods of mathematical proof and their validity. Set Theory, Logic, Functions, and Cardinality are also discussed. The emphasis is on writing and understanding mathematical proofs. Spring. Note: This course serves as the Gateway course for the Mathematics major. A grade of “C-” or higher is required for graduation.

Subject
MTH
Credits (min)
3
Credits (max)
3
Type
course
Edition
2023-2024
Source
www.barton.edu
Prerequisite
MTH 240 (or equivalent).
MTH 320* Introduction to Linear Algebra3

An introductory course in linear algebra covering the following topics: systems of linear equations, matrices, determinants, vectors, vector spaces, eigenvalues, and linear transformations.

Subject
MTH
Credits (min)
3
Credits (max)
3
Type
course
Edition
2023-2024
Source
www.barton.edu
Prerequisite
MTH 240.
MTH 330* Applied Algebra3

A study of the mathematics of data communication and data storage. A discussion of the mathematics and the methods of dealing with issues related to data security, data integrity, and data transmission using number theory and finite fields.

Subject
MTH
Credits (min)
3
Credits (max)
3
Type
course
Edition
2023-2024
Source
www.barton.edu
Prerequisite
MTH 280.
MTH 340* Elements of Modern Geometry3

A critical study of Euclidean geometry from a postulational standpoint and an introduction to non- Euclidean geometries.

Subject
MTH
Credits (min)
3
Credits (max)
3
Type
course
Edition
2023-2024
Source
www.barton.edu
Prerequisite
MTH 280.
MTH 342* Calculus III, Multivariant Calculus4

An advanced study of differential and integral calculus in n-space. Includes a study of vector calculus including line integrals, Greens’ Theorem, and Stokes Theorem. Fall, even years.

Subject
MTH
Credits (min)
4
Credits (max)
4
Type
course
Edition
2023-2024
Source
www.barton.edu
Prerequisite
MTH 241.
MTH 360* Discrete Mathematics3

Continues the topics of MTH 280. Focus on graphs, trees, algorithms, Boolean algebras and other algebraic structures.

Subject
MTH
Credits (min)
3
Credits (max)
3
Type
course
Edition
2023-2024
Source
www.barton.edu
Prerequisite
QRT 120 or MTH 130.
MTH 370Calculus III, Multivariate Calculus. 4

An advanced study of differential and integral calculus in n-space. Includes a study of vector calculus including line integrals, Greens’ Theorem, and Stokes Theorem. Fall, even years.*

Subject
MTH
Type
course
Edition
2010-2011
Source
www.barton.edu
Prerequisite
MTH 270.
MTH 380* Ordinary Differential Equations3

A study of solution techniques and applications of ordinary equations including first-order equations, linear differential equations, series solutions, and basic concepts of numerical and graphical techniques applied to equations and systems.

Subject
MTH
Credits (min)
3
Credits (max)
3
Type
course
Edition
2023-2024
Source
www.barton.edu
Prerequisite
MTH 241.
MTH 390* Mathematical Statistics3

A foundation in statistical theory providing an indication of the relevance and importance of the theory in solving practical problems in the real world. Continuous and discrete data taken from both samples and populations are considered. Various distributions including binomial, normal, poisson, geometric, and the multinomial are studied along with their applications.

Subject
MTH
Credits (min)
3
Credits (max)
3
Type
course
Edition
2023-2024
Source
www.barton.edu
Prerequisite
MTH 241.
MTH 410* Elementary Theory of Numbers3

Topics from elementary number theory; properties of integers, Diophantine equations, congruences, and quadratic residues.

Subject
MTH
Credits (min)
3
Credits (max)
3
Type
course
Edition
2023-2024
Source
www.barton.edu
Prerequisite
MTH 280.
MTH 420Ordinary Differential Equations. 3

A study of solution techniques and applications of ordinary equations including first-order equations, linear differential equations, series solutions, and basic concepts of numerical and graphical techniques applied to equations and systems. Spring, odd years.*

Subject
MTH
Type
course
Edition
2010-2011
Source
www.barton.edu
Prerequisite
MTH 270.
MTH 430* Introduction to Modern Algebra3

An exploration about algebraic structures. Detailed study of groups and an introduction to rings.

Subject
MTH
Credits (min)
3
Credits (max)
3
Type
course
Edition
2023-2024
Source
www.barton.edu
Prerequisite
MTH 280.
MTH 440* Introduction to Real Analysis3

A proof-based study of the properties of real numbers, sequences and series, topology of the real number line, limits, continuity, and differentiality of functions on the real line. Note: This course serves as the Summit course for the Mathematics major. A grade of “C-” or higher is required for graduation.

Subject
MTH
Credits (min)
3
Credits (max)
3
Type
course
Edition
2023-2024
Source
www.barton.edu
Prerequisite
MTH 242 and MTH 280.
MTH 480Independent Study3

Individual research chosen by the student with guidance by a faculty member, subject to approval by the Dean of the School of Sciences. Results to be presented at a seminar of the department (staff and interested students). Note: Also offered as MTH 481 for one semester hour, as MTH 482 for two semester hours, and MTH 484 for four semester hours. * On demand only.

Subject
MTH
Credits (min)
3
Credits (max)
3
Type
course
Edition
2023-2024
Source
www.barton.edu
Alias
MTH 481

Source: Barton College's catalog, linked per course · table learning_unit · CourseShelf publish 61