Mathematics Emphasis | Liberal Arts Major | Concordia University Irvine

Liberal Arts Major

Mathematics Emphasis

School of Arts and Sciences

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Curriculum

  • Liberal Arts Core
  • 21-23 Units
  • ART 311: Art History I
  • 3

This is a survey course of Western art from the Prehistoric Period through the Renaissance, employing illustrated lectures, independent research, museum visits, and discussion. This class is offered alternate years in the spring semester.

OR

  • ART 312: Art History II
  • 3

This course is a survey of Western art from the Renaissance through the present employing illustrated lectures, independent research, museum visits and discussion. This class is offered alternate years in the spring semester.

  • COM 324: Intercultural Communication
  • 3

Social and cultural variables in speech communication processes and strategies for resolving communication problems in intercultural settings with an emphasis on variables such as perception, roles, language codes, and nonverbal communication will be examined in this course.

  • CENG 201: World Literature to the Renaissance
  • 3

This course will focus on critical thinking and research-based writing through comparative and interdisciplinary analysis. Alongside lectures and class discussion, the study of representative great works of Western and non-Western literature from Antiquity, the Middle Ages, and the Renaissance will emphasize the literary, cultural, and religious significance of these texts. Co-requisite: CHST 201; permission from Academic Advising is needed to take CENG 201 as an unlinked course.

  • HST 410: Mythology, Theology, and Philosophy
  • 3

This course will begin with the mythology of the Ancient Egyptians, the theology of the Hebrews, and the philosophy of the Greeks, and trace the legacy of each strand of thought throughout the world with attention being paid to both the primary leaders and significant texts and how they shape divergent world views today. Recommended: HST 201 and 202 have been taken prior to this course. Offered alternate years.

  • HUM 495: Senior Project (1-3 units)
  • 1

In this capstone course students will meet with an instructor once per week in order to formulate, research, and discuss an appropriate topic for their written project. Topics must be interdisciplinary, combining their emphasis within the major with another discipline within the major. Prerequisite: Liberal Arts major and senior standing.

  • MUS 451: Music Cultures of the World: Emerging Nations
  • 3

This course will introduce students to the study of music as a universal cultural phenomenon and the discipline of ethnomusicology with exposure to the musical and social aspects of folk, traditional, and art music of Latin America, Africa, India, North America, Southeast Asia, and contemporary mass media. Prerequisite: MUS 102, MUS 111, MUS 112, MUS 201 or equivalent knowledge and experience in music strongly encouraged. Offered alternate years.

OR

  • MUS 452: Music Cultures of the World: The Silk Road
  • 3

This course will introduce students to the study of music as a universal cultural phenomenon and the discipline of ethnomusicology with exposure to the musical and social aspects of folk, traditional, and art music of regions from Eastern Europe to Asia including the Middle East, Oceania, China, Japan, and Korea, as well as Mexico and the Caribbean. Prerequisite: MUS 102, MUS 111, MUS 112, MUS 201, or equivalent knowledge; experience in music encouraged. Offered alternate years.

OR

  • MUS 482: Music Cultures: Musical Expression in Christianity
  • 3

This course will survey of the role, development, and function of music in the Christian church from its roots in the Old Testament to the present day, with attention given to biblical, theological, social, and cultural considerations. Offered alternate years.

  • REL 321: World Religions
  • 3

This survey course of the world's major non-Christian religions will include motifs, belief patterns, ritual and worship, ethics and social patterns, origin and development, and sacred writings.

  • THR 251: Introduction to Theatre
  • 3

This course will provide an overview of the various conventions, forms, styles, and genres of the theatre, including principles of play analysis and exploration of theatre criticism from dramaturgical, literary, and cultural perspectives through the thematic discussions of representative plays. There may be an additional charge for required field trips.

  • Mathematics Emphasis
  • 18-19 Units
  • MTH 271: Calculus 1
  • 5

This course will study differential and integral calculus with applications including an emphasis on using calculus to solve problems. Lab time is included in the schedule. A graphing calculator is expected.  Prerequisite: Pre-Calculus or Trigonometry (or equivalent)

  • MTH 272: Calculus II
  • 4

A continuation of MTH 271, this course will include a study of integral calculus with and emphasis on the definite integral, transcendental, parametric, and polar-functions along with their derivatives and integrals, series, and sequences, and an introduction to differential equations. A graphing calculator is expected along with the ability to use appropriate computer software. Lab time is included in the schedule. Prerequisite: MTH 271 (C or higher) or acceptable AP examination credit

  • Choose three of the following courses:
  • MTH 313: Mathematical Notation and Proof
  • 3

This course will introduce standard mathematical notation, methods, truth tables, and principles of symbolic logic for use in determining the validity of arguments, dealing with proper notation and structure in mathematical proofs including direct and indirect proofs, mathematical induction, and construction of counter-examples. Application will be made to a field of mathematics such as set theory, algebra, or geometry.

  • MTH 371: Linear Algebra
  • 3

This course will study properties of matrix arithmetic, systems of linear equations, determinants, vector spaces, linear transformations, diagonalization, inner products, and applications of these topics. Prerequisite: MTH 272 or appropriate advanced placement examination grade.

  • MTH 373: Calculus 3
  • 4

As a continuation of MTH 272, this course will include the study of vector calculus, three-dimensional calculus, partial derivatives, multiple integrals, differential calculus, and other selected topics in vector calculus. Prerequisite: MTH 272 or appropriate advanced placement (AP) examination grade.

  • MTH 379: Numerical Analysis (and Algorithms)
  • 3

This course serves as an introduction to the basic algorithms of numerical analysis. Topics may include numerical solutions of algebraic equations, interpolation and approximation methods, approximate numerical solutions to systems of linear and non-linear equations, and numerical differentiation and integration. Prerequisites: ITP 104, MTH 272. Offered alternate years.

  • MTH 380: Modern Geometry
  • 3

This course will provide a general study of deductive systems of geometry including Euclidean, projective, finite, and other non-Euclidean geometries. Offered alternate years.

  • MTH 384: Ordinary Differential Equations
  • 3

This course will cover the classification of differential equations along with first order equations, exact differentials, integrating factors, higher order differential equations, method of undetermined coefficients, variation of parameters, operator methods, solution by infinite series, and Laplace transformations. Prerequisite: MTH 373or consent of instructor. Offered alternate years.

  • MTH 387: Probability and Statistics I
  • 3

This course will look at the probability and combinatorics; discrete and continuous random variables; the normal, gamma, Chi-square, Poisson, and binomial distributions with applications. Offered alternate years.

  • MTH 388: Probability and Statistics II
  • 3

A continuation of MTH 387, this course will cover various multivariate probability distributions, bias and unbiased estimators, Least Square estimation, ANOVA , Block Designs, and a revisit of hypothesis testing and a study of nonparametric statistics. Prerequisite: MTH 387. Offered alternate years.

Current students, please note: The requirements listed here may not reflect the most current courses for this major and may not be the requirements for the catalog year you are following to complete your major. Please refer to the Academic Catalog for official requirements you must meet to qualify for a degree.


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