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Mathematics
Donna Starr Christen College of Healthcare, Fitness and Sciences

Mathematics Department Home Page

Mathematics (MTH)
The mathematics department at Dakota Wesleyan University provides programs for the math major and minor aimed at preparing students for mathematical careers in actuarial science, business, government, teaching and industry.  Cognizant of the reality that most college students will have several careers during their lives, the department strives to provide learning experiences which allow all students to apply their mathematical training in a variety of situations.

Major

MTH 200

Statistical Methods I

3

MTH 210

Calculus I

5

MTH 220

Calculus II

4

MTH 260

Introduction to Computer Programming

3

MTH 305

Calculus III

3

MTH 315

Linear Algebra and Differential Equations

4

MTH 325

Introduction to Probability Theory

3

MTH 330

Modern Algebra or

 

MTH 340

Modern Geometry

3

 

Electives (MTH 250, MTH 299, MTH 330, MTH 340, MTH 350, MTH 380 or MTH 450 (not both), MTH 499)

9

 

Total

37

Concentration in Actuarial Science

MTH 200

Statistical Methods I

3

MTH 210

Calculus I

5

MTH 220

Calculus II

4

MTH 260

Introduction to Computer Programming

3

MTH 305

Calculus III

3

MTH 315

Linear Algebra and Differential Equations

4

MTH 325

Introduction to Probability Theory

3

MTH 350

Statistical Methods II

3

BUS 344

Corporate Finance

3

ECO 231

Principles of Macroeconomics

3

ECO 232

Principles of Microeconomics

3

 

Electives (MTH, BUS or ECO chosen in consultation with the department)

6

 

Total

43

Mathematics Education
Students interested in teacher certification in 7-12 mathematics must complete the following program and exceed the minimum score on the appropriate Praxis exam. For further clarification, see Education, speak to your adviser or the education department chair.

Required mathematics courses:

MTH 200

Statistical Methods I

3

MTH 210

Calculus I

5

MTH 220

Calculus II

4

MTH 250

Discrete Mathematics

3

MTH 260

Introduction to Computer Programming

3

MTH 305

Calculus III

3

MTH 315

Linear Algebra and Differential Equations

4

MTH 325

Introduction to Probability Theory or

 

MTH 330

Modern Algebra or

 

 

other approved course

3

MTH 340

Modern Geometry

4

MTH 360

Mathematics Teaching Methods with Technology

1

 

Total

33


Additional required courses:

EDU 201

Foundations of Education

3

EDU 216

Technology for Teachers I

1

EDU 311

Educational Psychology

3

EDU 316

Technology for Teachers II

1

EDU 324

Literacy Methods in the Content Area

3

EDU 330

Curriculum Standards and Assessment

3

EDU 335

American Indian Education

3

EDU 344

Mathematics Methods and Practicum

3

EDU 356

Secondary and Middle Level Teaching Methods

3

EDU 365

Classroom Management for the K-12 Educator

3

EDU 410

Human Relations/Multiculturalism

3

EDU 412

Adolescent Learners’ Needs

3

EDU 416

Technology for Teachers III

1

EDU 474

7-12 Student Teaching

14

EDU 475

Seminar

2

PSY 237

Developmental Psychology

3

SPD 206

Teaching Students with Exceptionalities in the General Classroom

3

 

Total

55

Minor
Mathematics

MTH 200

Statistical Methods I

3

MTH 210

Calculus I

5

MTH 220

Calculus II

4

MTH 305

Calculus III or

 

MTH 315

Linear Algebra and Differential Equations (not both)

3-4

MTH

Electives (MTH 250 or above)

6

 

Total

21-22

Course Descriptions

115 Mathematics for the Liberal Arts 3 hours F,S
This course considers the role of mathematics in practical, real-world applications by exploring the mathematics of management science, statistics and probability, investments, and loans.  Further topics such as taxes, voting systems, game theory, symmetry and information science will be decided upon by consensus of the class.  
Prerequisites: Mathematics ACT score of 16 and two years of high school mathematics, or consent of instructor.
General Education: Critical and Collaborative Thinking – Quantitative Reasoning

120 Intermediate Algebra 3 hours TBA
This course in algebra includes linear equations, quadratic equations, rational exponents, inequalities, systems of equations, logarithms, exponential equations and graphing equations.
Prerequisites:  Math placement or consent of instructor.
Developmental

125 College Algebra 3 hours F,S
This course immerses students in algebraic methods in the context of modeling real-world phenomena, particularly those related to social issues, including hunger and poverty.  Mathematical topics will include functions and graphs; solving equations; displaying and describing data; linear, exponential, logarithmic, power and quadratic functions; mathematical modeling; and probability.  This course does not meet the prerequisites for biology and chemistry courses.
Prerequisites: MTH 120 or an equivalent course, math placement or consent of instructor.
General Education: Critical and Collaborative Thinking – Quantitative Reasoning

128 Mathematics for the Sciences 2 hours S
This is a mathematics course intended for students in the sciences preparing for physics, biology or calculus.  Topics will include trigonometry and its applications, vectors, and exponential and logarithmic functions.
Prerequisites: MTH 125 or an equivalent course or math placement.

150 Mathematics for the Elementary Teacher 3 hours F
This course is designed expressly for the needs of elementary school teachers, including the structure of arithmetic, sets, elementary logic, number systems, relations and functions.
Prerequisite: MTH 120 or other course approved by the education department.

200 Statistical Methods I 3 hours F,S
This course is an introduction to descriptive statistics, including graphs, sampling distributions, measures of central tendency, probability theory, hypothesis testing through nonparametic tests, confidence intervals, correlation and regression.  Statistical applications, hypotheses testing and the use of statistical software for graphing is emphasized.
Prerequisite: MTH 125 or consent of instructor.
General Education: Critical and Collaborative Thinking – Quantitative Reasoning

210 Calculus I 5 hours F
This course is an introduction to differential and integral calculus.  Students will learn to calculate the rates of change of functions including trigonometric, exponential and logarithmic functions and how to solve initial value and optimization problems.  Students will learn the Fundamental Theorem of Calculus and integration techniques.
Prerequisite: MTH 128 or math placement.
General Education: Critical and Collaborative Thinking – Quantitative Reasoning

220 Calculus II 4 hours S
This course is a continuation of MTH 210. Students will learn more advanced integration techniques, numerical analysis techniques, parametric equations, along with Taylor polynomials and series.
Prerequisite:  MTH 210 or consent of instructor.

250 Discrete Mathematics 3 hours S13
This course introduces discrete methods of mathematical problem solving.  Topics include set theory, symbolic logic, sequences and mathematical induction, basic combinatorics, probability and graph theory.
Prerequisite: MTH 210.

260 Introduction to Computer Programming 3 hours F13
This course provides an introduction to a high-level computer language.  Emphasis will be on learning the styles, techniques and methodologies necessary to design and develop readable and efficient programs.  The course will also include statistical, business and biological programming applications.
Prerequisites: Sophomore standing or consent of instructor.

275 Field Experience 1-2 hours TBA

299 Selected Topics – Basic 1-3 hours TBA
This course covers topics in basic mathematics not normally included in freshman- and sophomore-level courses.
Prerequisite: Consent of instructor.

305 Calculus III 3 hours F
This first course in multivariate calculus includes vector functions and their derivatives, plane curves, surfaces, partial derivatives and multiple integrals.
Prerequisite: MTH 220.

315 Linear Algebra and Differential Equations 4 hours S14
This course is an introduction to the basic concepts of linear algebra and ordinary differential equations.  In the field of linear algebra, we’ll cover matrices and matrix operations, Gaussian elimination, matrix inverses, determinants, vector spaces and subspaces, eigenvalues, eigenvectors, and linear transformations.  In the field of ODEs we’ll cover separable and first-order linear equations, second order linear equations with constant coefficients, method of undetermined coefficients, simple harmonic motion, and systems of differential equations. Applications to physical and life sciences will also be explored.
Prerequisites: MTH 220 and MTH 260 or consent of instructor.

325 Introduction to Probability Theory 3 hours S14
This course is an introduction to probability, including basic combinatorics and set theory; independence; conditional probability; random variables; specific discrete and continuous probability distributions; jointly distributed random variables; expectation; moments and moment generating functions; and various limit theorems.
Prerequisite: MTH 210 or consent of instructor.

330 Modern Algebra 3 hours F13
This course is an introduction to algebraic systems, including groups, rings and integral domains.
Prerequisite: MTH 315 or consent of instructor.

340 Modern Geometry 4 hours F14
This axiomatic study of various geometries includes Euclidean geometry and hyperbolic geometry.  Students will also study historical and philosophical implications of the development of non-Euclidean geometries.
Prerequisite: MTH 210 or consent of instructor.

350 Statistical Methods II 3 hours S
This project-oriented course in statistics and experimental design includes categorical analysis, multiple regression, the analysis of variance, factor analysis and other statistical techniques as appropriate.
Prerequisite: MTH 200.

360 Mathematics Teaching Methods with Technology 1 hour F13
This course is an introduction to the texts, manuals, materials, technology and methods of teaching mathematics.  It cannot be taken as a directed study.
Prerequisite: EDU 201, junior standing or consent of instructor.
Prerequisite or corequisite: EDU 356

380 Research Project 2-3 hours TBA
In consultation with the instructor, students may determine a topic for research.  Evaluation consists of a paper and a presentation before an audience of the student’s peers.
Prerequisite: Consent of instructor.

450 Internship 1-6 hours TBA

460 Independent Study 1-4 hours F,S
This course allows for advanced study in selected areas for mathematics majors and minors.
Prerequisite: Consent of instructor.

499 Selected Topics – Advanced 1-3 hours TBA
This course covers topics in advanced mathematics not normally covered in junior- and senior-level courses.
Prerequisite: Consent of instructor.

 

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