Minor inMathematics

Minoring in Mathematics involves the study of quantities, forms, and symbolic logic in such subjects as algebra, geometry, calculus, logic, topology and number theory.

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Mathematics Curriculum Overview

Minoring in Mathematics involves the study of quantities, forms, and symbolic logic in such subjects as algebra, geometry, calculus, logic, topology and number theory. How does number theory relate to data encryption? How can statistical analysis aid policy decisions? How are computer models programmed to investigate problems? You’ll acquire a strong foundation in conventional math theory and problem-solving techniques as you take 22 credit hours toward a mathematics minor in conjunction with a different bachelor’s degree major.

Required: 15 Credits
Course ID Course Name Credit Hours
MAT - 135 Calculus I 4
MAT - 145 Calculus II 5
MAT - 220 Discrete Mathematics 3
MAT - 110 Intro Probability & Statistics 3

This course explores the concepts of limit and continuity, investigates techniques of differentiation and its applications, introduces integration, and provides the framework for the Fundamental Theorem. (Prerequisite: Minimum grade of C- in MAT125 or level 5 placement on the Math Placement Exam.)

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This course is a continuation of MAT135. Topics covered include techniques of integration, an introduction to differential equations, sequences and series and applications of these concepts. Other topics include parametric equations, polar equations, and conic sections. Students will be introduced to a computer algebra system. (Prerequisite: Minimum grade of C- in MAT135 or equivalent)

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This course serves as an introduction to formal proofs and is prerequisite for several upper level math courses. Additional topics covered include logic, set theory, function and relations. (Prerequisite: C- or better in MAT135 or CSC175)

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This course will explore fundamental topics from probability and descriptive and inferential statistics and apply these to a range of areas of study including business, social science, and biology. Topics include probability and counting rules, probability distributions, hypothesis testing, correlation, regression, chi-square, and analysis-of-variance. (Prerequisite: Minimum grade of C- in MAT100 or MAT103 or level 3 or higher placement on the Math Placement Exam.)

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Electives: 7 Credits
Course ID Course Name Credit Hours
CSC - 301 Programming & Problem Solving 4
MAT - 230 Probability and Statistics 4
MAT - 330 Advanced Prob & Stats 4
MAT - 255 Calculus III 4
MAT - 305 Foundations of Geometry 3
MAT - 375 Diff Equations and Linear Algb 4
MAT - 450 Abstract Algebra 4
MAT - 460 Foundations of Analysis 4
MAT - 478 Mathematics Seminar 3
MAT - 488 Independent Study 0

This course emphasizes structured programming and problem solving techniques as implemented in a high level language. Topics include input and output procedures, control structures and Boolean expressions, functions and procedures with parameters, recursion, looping techniques and data structures. (Prerequisite: minimum grade of C in MAT135 or MAT/CSC175)

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This is an introductory probability and statistics course designed primarily for math and science students with a Calculus background. Topics covered include descriptive statistics, probability and probability distributions, estimation, hypothesis testing, correlation and regression, and analysis of variance. (Prerequisite: MAT135)

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This course is a Calculus-based look at Probability and Statistics. Assuming students have been exposed to the basics through an introductory course, this course will build upon that experience. Topics include an in depth investigations of probability, discrete and continuous random variables, parameter estimation, hypothesis testing, inference using the normal and binomial distributions, goodness of fit, regression and correlation, and ANOVA. The course will include a statistical software component. (Prerequisites: Minimum grade of C- in MAT145 and MAT110)

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This course is a continuation of MAT145. Topics covered include analytic geometry in three-dimensional space, vector calculus, partial differentiation, multiple integration, the Fundamental Theorems, and related applications. (Prerequisite: Minimum grade of C- in MAT145)

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This course provides a systematic survey of Euclidean, hyperbolic, transformation, and fractal geometries. Through the use of technology, the students are better enabled to construct, analyze, and prove conjectures. (Prerequisite: Minimum grade of C- in MAT220)

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This course is an overview of the concepts of differential equations and linear algebra necessary to solve applied problems. Topics include: Differential equations: separable, first-order linear, higher-order linear, linear systems with constant coefficients. Linear algebra: basis, dimension, matrices, eigenvalues/eigenvectors, and vector spaces. (Prerequisite: Minimum of C- in MAT145)

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This course is a rigorous introduction to abstract algebra. Topics include mappings, groups, equivalence relations, isomorphisms, rings, and fields. (Prerequisite: Minimum grade of C- in MAT220)

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This course is a formal treatment of functions of a real variable. It covers the topology of the real line, sequences and series, and classic results in continuity, differentiation, and integration. (Prerequisite: Minimum of C- in MAT145 and MAT220)

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Students in this seminar will explore a variety of exciting mathematics problems. The course will be offered every spring but the topic will vary depending on the interests of the faculty member and the students. Students will sharpen their mathematical abilities by exploring an assortment of problem-solving strategies and clearly presenting generalized solutions. The opened-ended course number allows for more than one such experience. (Prerequisite: Minimum grade of C- in MAT220 or consent of instructor)

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There are a plethora of topics in mathematics an advanced student could explore such as Difference Equations, Combinatorics, Graph Theory, Chaos Theory, Optimization, Operations Research, or Cryptography to name a few. The opened ended course number allows for more than one such experience. The student will work with a faculty mentor to choose an appropriate course, number of credits, and assessment scheme.

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An academic minor normally consists of 20 to 24 credits taken in courses in one area or related areas of study prescribed by the faculty.

Meet Your Professors

Rachel Krueger Term Faculty of Mathematics

Rachel's passion is to help developmental math students to reach their potential in the mathematics necessary to succeed in their chosen field.

Dr. Robert Krueger Chair of Department of Mathematics & Computer Science

Krueger offers not only an expert knowledge of mathematics to Concordia students, he also strives to make each student’s experience as rewarding as possible.

Career Potential

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