Math and Physics

UW-PARKSIDE 2019-21 CATALOG
Molinaro 275 • 262-595-2316

College:
Natural and Health Sciences

Degree and Programs Offered:
Bachelor of Science
Major - Mathematics
Major - Physics
Minor - Mathematics
Minor - Physics

Professional Accreditations or Memberships:
American Mathematical Society

Student Organizations/Clubs:
Math Club; Pi Mu Epsilon (Wisconsin Gamma Chapter); Society of Physics Students

Career Possibilities for Mathematics Majors:
The future outlook for careers in mathematics remains promising, especially for those who combine their training with other specialties. A degree with a major in mathematics with supporting work in computer science, business or economics will increase employment opportunities.

Department Overview

The Mathematics and Physics Department offers a rigorous and well-balanced program of courses leading to a bachelor of science degree with majors in mathematics and physics. Mathematics is of central importance in the sciences. In fact, mathematics has been called the language of science. This applies not only to the physical and biological sciences but increasingly to the social, managerial and behavioral sciences as well. Much of mathematics has been developed to meet the needs of the areas of human knowledge that it serves. In addition to its service role in other areas, mathematics occupies a place of its own in our intellectual heritage. From ancient Greece to our own times, people have been drawn to the elegant structure.

The physics major is primarily intended for students who wish to pursue graduate work in physics or related areas, careers in higher education, or careers in technology-based industry.

The mathematics and physics faculty are active in research. Current areas of research interest include astrophysics, computational physics, condensed matter theory, many-body theory, mathematical physics, quantum field theory, and statistical mechanics. Students majoring in mathematics or physics have an excellent opportunity to get involved in ongoing research projects. In the recent past, students have appeared as co-authors on a number of scientific publications in research and teaching journals.

In addition to mathematics and physics majors, the department hosts an articulated pre-engineering/engineering program with the University of Wisconsin-Milwaukee.  

Program Level Outcomes for Mathematics

  1. Formulate and prove mathematical results in the language of mathematics.
  2. Perform technical mathematical computations in mathematics and related fields.
  3. Translate ideas and meanings from the language of everyday life (English) into mathematical language (formulas and symbols).
  4. Communicate in the language of mathematics.
  5. Search for knowledge in independent and responsible ways.

Requirements for Admission to the Mathematics Major

To be eligible for entrance into the mathematics major students must have successfully completed MATH 221 and 222 with a grade of C or better in each, or at the discretion of the Department. Upon declaring a major in mathematics, students must consult with a mathematics adviser to set up a program of study.

Requirements for the Mathematics Major (41-47 credits)

The major in mathematics includes options in pure and applied mathematics and teaching mathematics in middle childhood through early adolescence.  At least 15 credits of upper-level courses in the major must be completed at UW-Parkside. Students may satisfy a mathematics major by completing the mathematics core and one of the following options or, upon consultation with a mathematics adviser, by developing programs to suit their special needs, subject to the written approval of the Mathematics Department. The following options are minimal, and students are encouraged to elect additional advanced mathematics courses.

  1. Core Courses Required (23 credits)
    These courses provide the background concepts and techniques required in upper-level mathematics offerings.
    MATH 221 Calculus and Analytic Geometry I 5 cr
    MATH 222 Calculus and Analytic Geometry II 5 cr
    MATH 223 Calculus and Analytic Geometry III 5 cr
    MATH 301 Linear Algebra 4 cr
    MATH 303 Set Theory, Logic and Proof 4 cr
  2. Choose One Option for Completion (20-24 credits)
    1. General Mathematics Option (20-24 credits)
      This sequence of courses leads to an undergraduate mathematics major covering the principal areas of modern mathematics. It is recommended for students planning to study mathematics in graduate school. Students in this program are required to take all of the courses in the Mathematics Core in addition to those listed below. Students are also encouraged to broaden their mathematics background by electing additional advanced courses.
      1. Required Math Courses (4 credits)
        Choose one course:
        MATH 350 Advanced Calculus 4 cr
        MATH 451 Topology 4 cr
      2. 300-Level Math Elective 3 Courses (10-12 credits)
        MATH 310 Advanced Probability Theory and Statistics 4 cr
        MATH 317 Differential Equations and Their Applications 4 cr
        MATH 331 Logic and Combinatorics 3 cr
        MATH 361 Foundations of Geometry 3 cr
        MATH 367 Elementary Number Theory 4 cr
      3. 400-Level Math Elective (6-8 credits)
        Choose two 400-level courses
        (not MATH 495 or 499)
        6-8 cr
    2. Applied Mathematics Option (22 credits)
      This sequence of courses is intended for those students who are interested in mathematics and the application of mathematics. Students in this program are required to take all of the courses in the mathematics core together with those listed below. They are also encouraged to broaden their mathematics background by electing additional advanced courses.
      1. Required Math Courses (18 credits)
        MATH 310 Advanced Probability Theory and Statistics 4 cr
        MATH 317 Differential Equations and Their Applications 4 cr
        MATH 350 Advanced Calculus 4 cr
        MATH 368 Mathematical Modeling 3 cr
             
        Choose one course:  
        MATH 401 Applied Mathematics 3 cr
        PHYS 401 Mathematical Methods of Physics 3 cr
      2. Math Elective Course (4 credits)
        Choose one course:
        MATH 423 Complex Analysis 4 cr
        MATH 441 Abstract Algebra 4 cr

 

Teacher Education Licensure in Mathematics and Physics

Students interested in becoming teachers will need to complete an approved program pathway to a Wisconsin initial educator license. The approved pathway to this license is a structured collaboration between the mathematics and physics department and the Institute of Professional Educator Development (IPED).

The requirements for teacher licensure are specific and therefore students must meet with the IPED Adviser to coordinate the major and teacher education curriculum. It is very important to contact the IPED adviser at 262-595-2180 or Molinaro D111 as soon as possible. Students are required to seek advising each semester from both the IPED Adviser and the mathematics and physics department liaison to the teacher education program. Complete information about the Teacher Education Program can be found on the IPED website at: https://www.uwp.edu/learn/departments/educatordevelopment/.

 

Mathematics with a Second Major

Students are encouraged to consider combining a major in mathematics with a major in a related area, such as computer science, behavioral science, a physical science business or economics. This has the advantage of enhancing the understanding of two allied areas, as well as improving the prospects for employment after graduation.

 

Requirements for the Computer Science/ Mathematics Double Major (89-90 credits)

Students may satisfy graduation requirements for both computer science and mathematics by completing all required courses for computer science with 9 elective credits and PHYS 201, together with the following mathematics courses (which automatically satisfy the computer science breadth requirement):

Required Math Courses (30 credits)
MATH 222 Calculus and Analytic Geometry II 5 cr
MATH 223 Calculus and Analytic Geometry III 5 cr
MATH 301 Linear Algebra 4 cr
MATH 303 Set Theory, Logic and Proof 4 cr
MATH 317 Differential Equations and Their Applications 4 cr
     
MATH 350 Advanced Calculus 4 cr
OR    
MATH 367 Elementary Number Theory 4 cr
     
MATH 441 Abstract Algebra 4 cr
Students completing the computer science/mathematics double major are strongly encouraged to take CSCI 331 as one of their electives.

 

Requirements for the Mathematics Minor (25-27 credits)

To earn a mathematics minor students must complete a minimum of 25 credits in mathematics by completing the four required courses and at least two other upper level courses, one of which must be at the 400-level.

  1. Required Math Courses (19 credits)
    MATH 221 Calculus and Analytic Geometry I 5 cr
    MATH 222 Calculus and Analytic Geometry II 5 cr
    MATH 223 Calculus and Analytic Geometry III 5 cr
    MATH 301 Linear Algebra 4 cr
  2. Math 400-level Elective (3-4 credits)
    Choose one 400-level course (not MATH 495 or 499) 3-4 cr
  3. Math Additional Upper-level Elective (3-4 Credits)
    Choose one 300- or 400-level course
    (not MATH 495 or 499)
    3-4 cr

 

Requirements for the Elementary Mathematics Minor (31 credits)

To earn an elementary mathematics minor students must complete a minimum of 31 credits and have a declared elementary education or special education major.

  1. Required Math Courses (22-23 credits)
    MATH 221 Calculus and Analytic Geometry I 5 cr
    MATH 222 Calculus and Analytic Geometry II 5 cr
    MATH 223 Calculus and Analytic Geometry III 5 cr
         
    Choose one course:    
    MATH 301 Linear Algebra 4 cr
    MATH 303 Set Theory, Logic and Proof 4 cr
         
    Choose one course:    
    MATH 361 Foundations of Geometry 3 cr
    MATH 367  Elementary Number Theory 4 cr
  2. Required Education Courses (9 credits)
    EDU 212 Mathematics for Elementary and Middle School Teachers 3 cr
    EDU 431 Teaching Developmental Mathematics Concepts, K-2 3 cr
    EDU 442 Teaching Developmental Mathematics Concepts, 3-8 3 cr

 

High School Preparation

Students entering a degree program at UW-Parkside should have taken at least three years of high school mathematics including ninth-grade algebra, 10th-grade geometry and 11th-grade advanced algebra and trigonometry. Students intending to take college-level mathematics courses are encouraged to strengthen their preparation by taking 12th-grade pre-calculus. MATH 10, MATH 11, MATH 15, MATH 16 and MATH 111 are not replacements for high school mathematics courses.

Computational Skills Requirement

Students satisfy this requirement with the completion of either MATH 102 or MATH 103 for 3 credits or MATH 111 for 4 credits (with a grade of C-minus or better).

Students are exempt from the requirement if their placement results (based on UW Mathematics Placement Test) are above MATH 102 or MATH 111. Students must complete computational skills within their first 60 academic credits.

Placement Examination

Mathematics Placement is by UW Mathematics Placement Test scores. This examination serves as a guide for placement in mathematics courses. Placement in mathematics courses is usually made at the following levels:
  1. MATH 10, MATH 15, MATH 102, MATH 103, MATH 104 or MATH 111 – students with fewer than three years of high school math, or inadequate background, or who have been out of school for an extended period of time.
  2. MATH 112, MATH 113 or MATH 114 – students with three years of high school mathematics.
  3. MATH 221 – students with four years of high school mathematics.

Program Level Outcomes for Physics

  1. Student should be scientifically literate in the foundations of physics, both theoretical and practical.
  2. Students should be able to take data in a lab environment or computer simulation, analyze it, present it coherently in a written format and draw from the analysis a convincing conclusion based upon the principles of the scientific method.
  3. Students will master the tools of modern physics; mathematical, computational, and experimental.
  4. The student should be able to orally present in a professional, lucid manner, the results and analysis of an experiment or research and effectively answer questions on the topic of their work in a scientific seminar format.
  5. The student is expected to have mastered the methods of modern scientific exploration at an appropriate level, and engage in a continual self-examination for any deficiencies, and take advantage of opportunities to rectify them. The goal is to be fully prepared for the Physics GRE exam.

Requirements for Admission to the Physics Major

To be eligible for entrance into the physics major students must have successfully completed MATH 221, 222 and PHYS 201, 202 with a grade of C or better in each, or at the discretion of the Department.

Requirements for the Physics Major (65 credits)

The physics major consists of at least 42 credits of core courses and a minimum of 23 credits of support courses, in addition to the general university requirements. At least 15 credits of upper level courses must be completed at UW-Parkside.

  1. Required Core Courses (42 credits)
    PHYS 201 General Physics I 5 cr
    PHYS 202 General Physics II 5 cr
    PHYS 205 Modern Physics 3 cr
    PHYS 241 Scientific Programming 3 cr
    PHYS 301 Classical Mechanics 4 cr
    PHYS 302 Electricity and Magnetism 4 cr
    PHYS 303 Computational Physics 3 cr
    PHYS 306 Advanced Experiments in Physics 3 cr
    PHYS 403 Thermodynamics and Statistical Physics 4 cr
    PHYS 441 Quantum Physics 4 cr
    PHYS 495 Senior Seminar 1 cr
         
    Choose one course:  
    PHYS 401 Mathematical Methods of Physics 3 cr
    MATH 401 Applied Mathematics 3 cr
  2. Required Support Courses (23 credits)
    MATH 221 Calculus and Analytic Geometry I 5 cr
    MATH 222 Calculus and Analytic Geometry II 5 cr
    MATH 223 Calculus and Analytic Geometry III 5 cr
    MATH 301 Linear Algebra 4 cr
    MATH 317 Differential Equations and Their Applications 4 cr
    Students planning graduate work in physics will generally take more than the minimum number of credit hours in physics and additional mathematics courses. Reading proficiency (equivalent to about two years of study at the college level) in one foreign language is also recommended for such students.

 

Requirements for the Physics Minor (32 credits)
 

  1. Required Physics Courses (16 credits)
    PHYS 201 General Physics I* 5 cr
    PHYS 202 General Physics II* 5 cr
    PHYS 205 Modern Physics 3 cr
    PHYS 306 Advanced Experiments in Physics 3 cr
  2. Physics Elective Courses (6 credits)
    Additional physics course at the 200-level or above 3 cr
    Additional physics course at the 300-level or above 3 cr
  3. Required Support Courses (10 credits)
    MATH 221 Calculus and Analytic Geometry I 5 cr
    MATH 222 Calculus and Analytic Geometry II 5 cr
    *Qualified students may substitute PHYS 105-106 for the PHYS 201-202 requirement at the discretion of the Physics Department. Students are advised to consult the department for further information.

 

Articulation Agreement

UW-MILWAUKEE ENGINEERING PROGRAM

The articulated pre-engineering/engineering agreement with University of Wisconsin-Milwaukee (UWM) creates a curriculum plan so the students at the University of Wisconsin-Parkside (UWP) may complete and transfer coursework applicable to the first two years of the UWM biomedical, civil, electrical, industrial and manufacturing, mechanical and materials engineering majors in the College of Engineering and Applied Science (CEAS), and provides guaranteed transfer to students who complete all of the articulated pre-engineering courses and the UWM admission requirements. Students complete 80-85 credits, and may earn the Associate of Science degree in Physics at UWP. Specific associate degree requirements are in the Associate Degree section of the catalog.
 

Admission Requirements and the Highlights of the Program

  • Students complete the first two years of course work (78-86 credits) at UW-Parkside, then continue at UWM toward one of the majors in UWM CEAS - biomedical, civil, electrical, industrial and manufacturing, mechanical and materials engineering in the College of Engineering and Applied Science (CEAS) with junior standing.
  • The transfer with junior standing is guaranteed for students who complete all of the articulated courses within the UWP-UWM agreement with a cumulative GPA no less than the minimum GPA for the individual UWM major to which the student seeks admission.
  • All UWP university admission requirements apply. Admission into the UWP-UWM articulated engineering requires placement into Math 221 or successful completion of the pre-requisites for Math 221.
  • During the first 78-86 credits of study (the first two years), students will be primarily advised by UWP faculty but will also have a co-advisor from UWM to facilitate smooth transition to UWM CEAS.
  • Students will pay tuition and appropriate fees to the university at which they are enrolled.
  • Students admitted under this agreement will be guided by UWM and UWP catalog year of their admission to UWP.
  • Students who voluntarily withdraw or do not meet the requirement to continue in the program, may transfer any of their earned UWP/UWM credits into another degree program subject to the credit transfer equivalencies and requirements.

 

UW-Parkside Associate of Science in Physics / UW-Milwaukee Bachelor of Science Electrical Engineering Agreement 4-Year Plan
 

Year 1 – UW-Parkside - Electrical Engineering Program
Fall Semester
MATH 221 Calculus & Analytic Geometry I 5
PHYS 201 General Physics I 5
CHEM 101
& 103
General Chemistry I & Lab 5
ENGL 101 Reading and Composition 3
    18
     
Winterim Semester
Gen Ed Social/Behavioral Sciences 3
    3
     
Spring Semester
MATH 222 Calculus & Analytic Geometry II 5
PHYS 202 General Physics II 5
PHYS 241
(CompSci 240-UWM)
Scientific Programming 3
Gen Ed Social/Behavioral Sciences 3
    16
     
Summer Semester
Gen Ed Social/Behavioral Sciences 3
    3
Humanities/Arts – 0/12 completed; Social/Behavioral Sciences – 9/12 completed; Natural Science 15/12 completed; Total Credits – 40 completed; UW-Milwaukee English Competency (ENGL 167 & ENGL 201) – not complete 

 

 

Year 2 – UW-Parkside - Electrical Engineering Program
Fall Semester
MATH 223 Calculus & Analytic Geometry III 5
MATH 317
(ELEC ENG 234-UWM)
Differential Equations and Their Applications 4
PHYS 302
(ELEC ENG 361-UWM)
Electricity & Magnetism 4
ENGL 167 Introduction to Literature (HU) 3
    16
     
Winterim Semester
Gen Ed Humanities/Arts 3
    3
     
Spring Semester
PENG 214
(ELEC ENG 301-UWM)
Electrical Circuits I 3
PHYS 403
(MECH ENG 301-UWM)
Thermodynamics & Statistical Physics 4
Gen Ed Humanities/Arts 3
Gen Ed Social/Behavioral Sciences 3
ENGL 201 Advanced Composition 3
    16
     
Summer Semester
SPCH 105 Public Speaking (HU) 3
    3
     
Humanities/Arts – 12/12 completed; Social/Behavioral Sciences – 12/12 completed; Natural Science 15/12 completed; Total Credits – 78 completed; UW-Milwaukee English Competency (ENGL 167 & ENGL 201) – complete.

Foreign Language may be required depending on individual student’s backgrounds.  Please check UW-Milwaukee requirements.
Note: Students should utilize TIS to determine general education courses that transfer to UWM and meet UWM general education requirements.  One of the Humanities/Arts or Social/Behavioral Sciences courses need to also meet Diversity requirement.  Computational skills requirement is fulfilled with MATH 111.  Prepared using UW-Parkside’s 2017-2019 catalog.  UW-Parkside courses specific for the engineering program have prefix PENG.

 

Year 3 – UWM Electrical Engineering
Fall Semester
EAS 200 Professional Seminar 1
ELEC ENG 305 Electrical Circuits II 4
ELEC ENG 310 Signals and Systems 3
ELEC ENG 330 Electronics I 4
ELEC ENG 354 Digital Logic 3
COMP SCI 241 C Programming for Embedded Systems 3
    18
     
Spring Semester
ELEC ENG 335 Electronics II 4
ELEC ENG 362 Electromechanical Energy Conversion 4
ELEC ENG 367 Introduction to Microprocessors 4
  Technical Elective 6
    18

 

Year 4 – UWM Electrical Engineering
Fall Semester
ELEC ENG 420 Random Signals & Systems 3
  3-Approved Technical Electives 9
MATL 201

Engineering Materials

4
    16
     
Spring Semester
ELEC ENG 595 Capstone Senior Design project 4
  4-Approved Technical Electives 12
    16

 

UW-Parkside Associate of Science in Physics / UW-Milwaukee Bachelor of Science Mechanical Engineering Agreement 4-Year Plan

 

Year 1 – UW-Parkside - Mechanical Engineering Program
Fall Semester
MATH 221 Calculus & Analytic Geometry I 5
PHYS 201 General Physics I 5
CHEM 101
& 103
General Chemistry I & Lab 5
ENGL 101 Composition and Reading 3
    18
     
Winterim Semester
Gen Ed Social/Behavioral Sciences 3
    3
     
Spring Semester
MATH 222 Calculus & Analytic Geometry II 5
PHYS 202 General Physics II 5
PHYS 241
(MECH ENG 101-UWM)
Scientific Programming 3
PENG 211
(CIV ENG 201-UWM)
Statics 3
    16
     
Summer Semester
Gen Ed Social/Behavioral Sciences 3
Gen Ed Humanities/Arts 3
    6
     
Humanities/Arts – 3/12 completed; Social/Behavioral Sciences – 6/12 completed; Natural Science 15/12 completed; Total Credits – 43 completed; UW-Milwaukee English Competency (ENGL 167 & ENGL 201) – not complete

 

Year 2 – UW-Parkside - Mechanical Engineering Program
Fall Semester
MATH 223 Calculus & Analytic Geometry III 5
PENG 212
(CIV ENG 202-UWM)
Dynamics 3
ENGL 167 Introduction to Literature (HU) 3
MATH 317
(ELEC ENG 234-UWM)
Differential Equations and Their Applications 4
Gen Ed Social/Behavioral Sciences 3
    18
     
Winterim Semester
Gen Ed Social/Behavioral Sciences 3
SPCH 105 Public Speaking (HU) 3
    6
     
Spring Semester
PHYS 403
(MECH ENG 301-UWM)
Thermodynamics & Statistical Physics 4
CHEM 102
& 104
General Chemistry II & Lab 5
PENG 214
(ELEC ENG 301-UWM)
Electrical Circuits I 3
ENGL 201 Advanced Composition 3
    15
     
Summer Semester
Gen Ed Humanities/Arts 3
    3
     
Humanities/Arts – 12/12 completed; Social/Behavioral Sciences – 12/12 completed; Natural Science 15/12 completed; Total Credits – 85 completed; UW-Milwaukee English Competency (ENGL 167 & ENGL 201) – complete.

Foreign Language may be required depending on individual student’s backgrounds.  Please check UW-Milwaukee requirements.
Note: Students should utilize TIS to determine general education courses that transfer to UWM and meet UWM general education requirements.  One of the Humanities/Arts or Social/Behavioral Sciences courses need to also meet Diversity requirement.  Computational skills requirement is fulfilled with MATH 111.  Prepared using UW-Parkside’s 2017-2019 catalog. UW-Parkside courses specific for the engineering program have prefix PENG.

 

Year 3 – UWM Mechanical Engineering
Fall Semester
EAS 200 Professional Seminar 1
CIV ENG 303 Strength of Materials 4
MATL ENG 201 Engineering Materials 4
MECH ENG 110 Engineering Fundamentals I 4
MECH ENG 320

Introduction to Fluid Mechanics

3
    16
     
Spring Semester
IND ENG 367 Introductory Statistics for Engineers 3
MATL ENG 330

Materials & Processes in Manufacturing

3
MECH ENG 111 Engineering Fundamentals II 4
MECH ENG 321 Basic Heat Transfer 4
MECH ENG 474 Introduction to Control Systems 4
    18

 

Year 4 – UWM Mechanical Engineering
Fall Semester
MECH ENG 323 Fluid Mechanics Laboratory 1
MECH ENG 360 Mechanical Design I 3
MECH ENG 366 Design of Machine Elements 4
MECH ENG 370 Comp Aided Engineer Lab 2
  2-Approved Technical Electives 6
    16
     
Spring Semester
MECH ENG 438 Mech Engineering Experimentation 3
MECH ENG 479 Mechatronics 3
MECH ENG 496

Senior Design Project

3
    9

 

UW-Parkside Associate of Science in Physics / UW-Milwaukee Bachelor of Science Industrial & Manufacturing Engineering Agreement 4-Year Plan

 

Year 1 – UW-Parkside - Industrial and Manufacturing Engineering Program
Fall Semester
MATH 221 Calculus & Analytic Geometry I 5
PHYS 201 General Physics I 5
CHEM 101
& 103
General Chemistry I & Lab 5
ENGL 101

Composition and Reading

3
    18
     
Winterim Semester
Gen Ed Social/Behavioral Sciences 3
    3
     
Spring Semester
MATH 222 Calculus & Analytic Geometry II 5
PHYS 202 General Physics II 5
PHYS 241
(CompSci 240-UWM)
Scientific Programming 3
PENG 211
(CIV ENG 201-UWM)
Statics 3
    16
     
Summer Semester
Gen Ed Humanities/Arts 3
Gen Ed Humanities/Arts 3
    6
     
Humanities/Arts – 6/12 completed; Social/Behavioral Sciences – 3/12 completed; Natural Science 15/12 completed; Total Credits – 43 completed; UW-Milwaukee English Competency (ENGL 167 & ENGL 201) – not complete

 

Year 2 – UW-Parkside - Industrial and Manufacturing Engineering Program
Fall Semester
MATH 223 Calculus & Analytic Geometry III 5
MATH 317
(ELEC ENG 234-UWM)
Differential Equations and Their Applications 4
ENGL 167 Introduction to Literature (HU) 3
PENG 212
(CIV ENG 202-UWM)
Dynamics 3
SPCH 105 Public Speaking (HU) 3
    18
     
Winterim Semester
Gen Ed

Social/Behavioral Sciences

3
    3
     
Spring Semester
CHEM 102
& 104
General Chemistry II & Lab 5
PHYS 403
(MECH ENG 301-UWM)
Thermodynamics & Statistical Physics 4

PENG 214
(ELEC ENG 301-UWM)

Electrical Circuits I

3
ENGL 201 Advanced Composition 3
Gen Ed Social/Behavioral Sciences 3
    18
     
Summer Semester
Gen Ed Social/Behavioral Sciences 3
    3
     
Humanities/Arts – 12/12 completed; Social/Behavioral Sciences – 12/12 completed; Natural Science 15/12 completed; Total Credits – 85 completed; UW-Milwaukee English Competency (ENGL 167 & ENGL 201) – complete

Foreign Language may be required depending on individual student’s backgrounds.  Please check UW-Milwaukee requirements.
Note: Students should utilize TIS to determine gen. ed. courses that transfer to UWM and meet UWM general education requirements.  One of the Humanities/Arts or Social/Behavioral Sciences courses need to also meet Diversity requirement.  Computational skills requirement is fulfilled with MATH 111.  Prepared using UW-Parkside’s 2017-2019 catalog. UW-Parkside courses specific for the engineering program have prefix PENG.

 

Year 3 – UWM Industrial and Manufacturing Engineering
Fall Semester
EAS 200 Professional Seminar 1
IND ENG 370 Introduction to Operations Analysis 3
IND ENG 455 Operations Research 3
IND ENG 367 Intro Statistics for Engineers 3
MATL ENG 201 Engineering Materials 4
    14
     
Spring Semester
IND ENG 111 Introduction to Engineering 3
IND ENG 112 Engineering Drawing & CAD/Drafting 3
IND ENG 465 Operations Research II 3
IND ENG 475 Intro to Simulation Methodology 3
IND ENG 571 Quality Control 3
    15

 

Year 4 – UWM Industrial and Manufacturing Engineering
Fall Semester
IND ENG 350 Manufacturing Processes 3
IND ENG 470 Methods Engineering 3
IND ENG 580 Ergonomics 3
IND ENG 583 Facility Layout & Mat Handling 3
  Approved Technical Elective 3
    15
     
Spring Semester
IND ENG 360 Engineering economic Analysis 3
IND ENG 575 Design of Experiments 3
IND ENG 485 Senior Design Project 3
IND ENG XXX 2 Approved Technical Electives 6
    15

 

UW-Parkside Associate of Science in Physics / UW-Milwaukee Bachelor of Science Biomedical Engineering Agreement 4-Year Plan

 

Year 1 – UW-Parkside - Biomedical Engineering Program
Fall Semester
MATH 221 Calculus & Analytic Geometry I 5
PHYS 201 General Physics I 5
CHEM 101
& 103
General Chemistry I & Lab 5
ENGL 101 Composition and Reading 3
    18
     
Winterim Semester
Gen Ed Social/Behavioral Sciences 3
    3
     
Spring Semester
MATH 222 Calculus & Analytic Geometry II 5
PHYS 202 General Physics II 5
PHYS 241
(MECH ENG 101-UWM)
Scientific Programming 3
PENG 211
(CIV ENG 201-UWM)
Statics 3
    16
     
Summer Semester
Gen Ed Social/Behavioral Sciences 3
Gen Ed Humanities/Arts 3
    6
     
Humanities/Arts – 3/12 completed; Social/Behavioral Sciences – 6/12 completed; Natural Science 15/12 completed; Total Credits – 43 completed; UW-Milwaukee English Competency (ENGL 167 & ENGL 201) – not complete

 

Year 2 – UW-Parkside - Biomedical Engineering Program
Fall Semester
MATH 223 Calculus & Analytic Geometry III 5
PENG 212
(CIV ENG 202-UWM)
Dynamics 3
BIOS 105 Anatomy & Physiology – I 5
MATH 317
(ELEC ENG 234-UWM)
Differential Equations and Their Applications 4
    17
     
Winterim Semester
Gen Ed Social/Behavioral Sciences 3
SPCH 105 Public Speaking (HU) 3
    6
     
Spring Semester
PENG 214
(ELEC ENG 301-UWM)
Electrical Circuits I 3
PHYS 403
(MECH ENG 301-UWM)
Thermodynamics & Statistical Physics 4
BIOS 106 Anatomy & Physiology II 5
ENGL 201 Advanced Composition 3
ENGL 167 Introduction to Literature (HU) 3
    18
     
Summer Semester
Gen Ed Social Behavioral Sciences 3
Gen Ed Humanities/Arts 3
    6
     
Humanities/Arts – 12/12 completed; Social/Behavioral Sciences – 12/12 completed; Natural Science 15/12 completed; Total Credits – 90 completed; UW-Milwaukee English Competency (ENGL 167 & ENGL 201) – complete

Foreign Language may be required depending on individual student’s backgrounds.  Please check UW-Milwaukee requirements.
Note: Students should utilize TIS to determine general education courses that transfer to UWM and meet UWM general education requirements.  One of the Humanities/Arts or Social/Behavioral Sciences courses need to also meet Diversity requirement.  Computational skills requirement is fulfilled with MATH 111.  Prepared using UW-Parkside’s 2017-2019 catalog. UW-Parkside courses specific for the engineering program have prefix PENG

 

Year 3 – UWM Biomedical Engineering
Fall Semester
EAS 200 Professional Seminar 1
BME 101 Fundamental of Biomedical Engineering 3
ELEC ENG 305 Electrical Circuits II 4
BME 302 Analysis of Dynamic Systems 4
MATL ENG 201 Engineering Materials 4
    16
     
Spring Semester
BME 320 Engineering of Biomedical Devices 1 4
BME 305 Engineering Biomechanics 3
IND ENG 367 Intro to Statistics for Engineers 3
ELEC ENG 310 Signals and Systems 3
    13

 

Year 4 – UWM Biomedical Engineering
Fall Semester
BME 325 Engineering of Biomed. Devices 2 3
BME 385 Introduction to Biomaterials 3
BME 495

Biomedical Instrumentation Lab/Senior Lab

3
  2-Technical Elective 6
    15
     

Spring Semester

BME 595 Capstone Design Project 4
  2-Technical Elective 6
    10

 

UW-Parkside Associate of Science in Physics / UW-Milwaukee Bachelor of Science Civil Engineering Agreement 4-Year Plan

 

Year 1 – UW-Parkside - Civil Engineering Program
Fall Semester
MATH 221 Calculus & Analytic Geometry I 5
PHYS 201 General Physics I 5
CHEM 101
& 103
General Chemistry I & Lab 5
ENGL 101 Composition and Reading 3
    18
     
Winterim Semester
Gen Ed Social/Behavioral Sciences 3
    3
     
Spring Semester

MATH 222

Calculus & Analytic Geometry II 5
PHYS 202 General Physics II 5
Gen Ed Social/Behavioral Sciences 3
PENG 211
(CIV ENG 201-UWM)
Statics 3
    16
     
Summer Semester
Gen Ed Humanities/Arts 3
    3
     
Humanities/Arts – 3/12 completed; Social/Behavioral Sciences – 6/12 completed; Natural Science 15/12 completed; Total Credits – 43 completed; UW-Milwaukee English Competency (ENGL 167 & ENGL 201) – not complete

 

Year 2 – UW-Parkside - Civil Engineering Program

Fall Semester
MATH 223 Calculus & Analytic Geometry III 5
MATH 317
(ELEC ENG 234-UWM)
Differential Equations and Their Applications 4
PENG 212
(CIV ENG 202-UWM)
Dynamics 3
ENGL 167 Introduction to Literature (HU) 3
SPCH 105 Public Speaking (HU) 3
    18
     
Winterim Semester
Gen Ed Social/Behavioral Sciences 3
    3
     
Spring Semester
PENG 216
(IND ENG 112-UWM)
Engineering Drawing & Computer Aided Design 3
PHYS 403
(MECH ENG 301-UWM)
Thermodynamics & Statistical Physics 4
CHEM 102
& 104
General Chemistry II & Lab 5
ENGL 201 Advanced Composition 3
Gen Ed Humanities/Arts 3
    18
     
Summer Semester
Gen Ed Social/Behavioral Sciences 3
    3
     
Humanities/Arts – 12/12 completed; Social/Behavioral Sciences – 12/12 completed; Natural Science 15/12 completed; Total Credits – 85 completed; UW-Milwaukee English Competency (ENGL 167 & ENGL 201) – complete

Foreign Language may be required depending on individual student’s backgrounds.  Please check UW-Milwaukee requirements.
Note: Students should utilize TIS to determine general education courses that transfer to UWM and meet UWM general education requirements.  One of the Humanities/Arts or Social/Behavioral Sciences courses need to also meet Diversity requirement.  Computational skills requirement is fulfilled with MATH 111.  Prepared using UW-Parkside’s 2017-2019 catalog. UW-Parkside courses specific for the engineering program have prefix PENG

 

Year 3 – UWM Civil Engineering
Fall Semester
EAS 200 Professional Seminar 1
CIV ENG 280 Computer Based Engineering Analysis 3
CIV ENG 303 Strength of Materials 4
IND ENG 111 Introduction to Engineering 3
MECH ENG 320 Introduction to Fluid Mechanics 3
    14
     
Spring Semester
CIV ENG 250 Surveying for Construction 3
CIV ENG 372 Introduction to Structural Design 4
CIV ENG 411 Water Resources Design 3
CIV ENG 490 Transportation Engineering 3
  Natural Science Elective 5
    18

 

Year 4 – UWM Civil Engineering
Fall Semester
CIV ENG 335 Soil Mechanics 3
CIV ENG 413 Environmental Engineering 3
CIV ENG 494

Principles of CE Design

1
  2 Approved Technical Electives 6
MATL ENG 201 Engineering Materials 4
    17
     
Spring Semester
CIV ENG 495 Senior Design 3
  4-Approved Technical Electives 12
IND ENG 360 Engineering Economic Analysis 3
    18

 

UW-Parkside Associate of Science in Physics / UW-Milwaukee Bachelor of Science Materials Engineering Agreement 4-Year Plan

 

Year 1 – UW-Parkside - Materials Engineering Program
Fall Semester
MATH 221 Calculus & Analytic Geometry I 5
PHYS 201 General Physics I 5
CHEM 101
& 103
General Chemistry I & Lab 5
ENGL 101

Composition and Reading

3
    18
     
Winterim Semester
Gen Ed Social/Behavioral Sciences 3
    3
     
Spring Semester
MATH 222

Calculus & Analytic Geometry II

5
PHYS 202

General Physics II

5
PHYS 241
(CompSci 240-UWM)
Scientific Programming 3
PENG 211
(CIV ENG 201-UWM)
Statics 3
    16
     
Summer Semester
Gen Ed Humanities/Arts 3
    3
     
Humanities/Arts – 3/12 completed; Social/Behavioral Sciences – 3/12 completed; Natural Science 15/12 completed; Total Credits – 40 completed; UW-Milwaukee English Competency (ENGL 167 & ENGL 201) – not complete

 

Year 2 – UW-Parkside - Materials Engineering Program
Fall Semester
MATH 223 Calculus & Analytic Geometry III 5
MATH 317
(ELEC ENG 234-UWM)
Differential Equations and Their Applications 4
PENG 212
(CIV ENG 202-UWM)
Dynamics 3
ENGL 167

Introduction to Literature (HU)

3
SPCH 105 Public Speaking (HU) 3
    18
     
Winterim Semester
Gen Ed

Social/Behavioral Sciences

3
    3
     
Spring Semester
CHEM 102
& 104
General Chemistry II & Lab 5
PENG 214
(ELEC ENG 301-UWM)
Electrical Circuits I 3
ENGL 201

Advanced Composition

3
Gen Ed Humanities/Arts 3
Gen Ed Social/Behavioral Sciences 3
    17
     
Summer Semester
Gen Ed Social/Behavioral Sciences 3
 

MATL ENG 201 at UWM

4
    7
     

Humanities/Arts – 12/12 completed; Social/Behavioral Sciences – 12/12 completed; Natural Science 15/12 completed; Total Credits – 85 completed; UW-Milwaukee English Competency (ENGL 167 & ENGL 201) – complete

Foreign Language may be required depending on individual student’s backgrounds.  Please check UW-Milwaukee requirements.
Note: Students should utilize TIS to determine general education courses that transfer to UWM and meet UWM general education requirements.  One of the Humanities/Arts or Social/Behavioral Sciences courses need to also meet Diversity requirement.  Computational skills requirement is fulfilled with MATH 111.  Prepared using UW-Parkside’s 2017-2019 catalog. UW-Parkside courses specific for the engineering program have prefix PENG

 

Year 3 – UWM Materials Engineering
Fall Semester
EAS 200

Professional Seminar

1
CIV ENG  303 Strength of Materials 4
MATL ENG 402 Physical Metallurgy 3
MATL ENG 410 Mechanical Behavior of Materials 3
IND ENG 467

Intro to Statistics for Physical Sciences & Engineers

3
    14
     
Spring Semester
MATL ENG 330 Materials Processing 3
MATL ENG 442 Thermodynamics of Materials 3

MATL ENG 453

Polymeric Materials 3
  Technical Elective 3
    12

 

Year 4 – UWM Materials Engineering
Fall Semester
MATL ENG 411 Materials Laboratory 3
MATL ENG 452 Ceramic Materials 3
MATL ENG 490 Senior Design Project 1 1
  3-Technical Electives 9
    16
     
Spring Semester
MATL ENG 443 Transport & Kinetics in Materials Processing 3
MATL ENG 491 Senior Design Project 2 3
  3-Technical Electives 9
    15

Courses in Mathematics (MATH)

10

Essential Math Skills
Prereq:  None. Freq: Fall, Spring.
Reviews basic arithmetic and order of operations with integers, fractions and decimals. Includes applied proportions and percents; evaluation and simplification of algebraic expressions and geometric formulas; linear equations involving integers, fractions and decimals; positive exponents; greatest common factor; basic graphs and inequalities. Course graded on credit/no credit basis. A grade of CR is required to advance to the next level (MATH 15). Four-hour lecture; supplemental discussion as warranted by individual student course performance.

3 cr
11

Essential Math Skills Lab
Prereq:  Completion of departmentally-mandated minimal number of MATH 10 proficiencies.  Consent of instructor required. Freq:  Winterim, Summer.
Designed as a Winterim/Summer opportunity for students to satisfy a limited number of incomplete proficiencies from an immediately prior Fall/Spring MATH 10 without having to retake MATH 10 in its entirety. Course graded on credit/no credit basis.

2 cr
15

Intermediate Algebra
Prereq: MATH 10 with a grade of C or better or a grade of CR; or MATH 11 with a grade of CR; or appropriate placement score. Freq: Fall, Spring.
Covers linear equations and inequalities with applications; equations of lines and linear systems with applications; exponential and polynomial operations with introduction to functions; polynomial factoring by combinations of GCF, grouping, trinomial, and difference of squares; quadratic equations by factoring with applications; rational operations and equations with applications; radical operations and single-radical equations; square root property and quadratic formula for quadratic equations.  Course graded on credit/no credit basis. A grade of CR is required to proceed to the next level (MATH 102 or 111). Five hour lecture; supplemental discussion as warranted by individual student course performance.

4 cr
16

Intermediate Algebra Lab
Prereq:  Completion of departmentally-mandated minimal number of MATH 15 proficiencies.  Consent of instructor required. Freq:  Winterim, Summer.
Designed as a Winterim/Summer opportunity for students to satisfy a limited number of incomplete proficiencies from an immediately prior Fall/Spring MATH 15 without having to retake MATH 15 in its entirety. Course graded on credit/no credit basis.

2 cr
102

Survey of Mathematics
Prereq:  MATH 15 or 16 with a minimum grade of C/CR; or appropriate placement. Freq: Fall.
Covers topics selected from sets, logic, number theory, geometry, consumer math, linear and exponential modeling, math and the arts, voting methods, probability, and statistics. Intended for students who need no further mathematics courses beyond competency.

3 cr
103

Elementary Statistics
Prereq: MATH 15 or 16 with a minimum grade of C/CR; or appropriate placement. Freq: Fall, Spring.
Introduces modern statistics including descriptive statistics; binomial and normal distributions, estimation, hypothesis testing; and an introduction to the z, t, F and chi-square test statistics. Includes computerized data analysis. Three-hour lecture. Not open to students with credits in any of these courses: BIOS 210, CRMJ 200, GEOG 300, GEOS 295, MATH 203, POLS 200, PSYC 250, QM 210, 310, SOCA 250, 295, 300.

3 cr
104

Quantitative Reasoning
Prereq: MATH 15 or 16 with a minimum grade of C/CR; or appropriate placement. Freq: Fall.
Covers quantitative reasoning including topics from college algebra (such as functions, linear, exponential and logarithmic models), statistics, and probability. Emphasizes proportional reasoning, modeling, problem-solving and applications. Designed for students in programs that do not require further coursework in pre-calculus or calculus. Three-hour lecture; one-hour discussion required for some students based on placement.

3 cr
111

College Algebra I
Prereq: MATH 15 or 16 with a minimum grade of C/CR; or appropriate placement. Freq: Fall, Spring.
Studies linear equations, single and compound inequalities, and absolute value equations and inequalities; exponential and polynomial operations with function evaluation; polynomial factoring by combinations of GCF, grouping, trinomial including quadratic-in-form, difference of squares, and sum and difference of cubes; quadratic and higher-degree equations by factoring with applications; rational operations and equations with applications; variation; radical operations and equations with up to two radical terms; complex numbers; completing the square and quadratic formula for quadratic equations; general polynomial equations; quadratic functions with graphing and applications; introduction to exponential and logarithmic functions and equations.

4 cr
112

College Algebra II
Prereq: MATH 111 with a grade of C or better; or equivalent; or appropriate placement score. Freq: Fall, Spring.
Explores functions and graphs, polynomial functions, exponential and logarithmic functions, sequences, series, induction and combinatorics. Four-hour lecture.

4 cr
113

Trigonometry
Prereq: MATH 112 or equivalent or concurrent registration. Freq: Fall, Spring.
An introduction to trigonometry with applications. Angular and circular definitions of trigonometric functions, graphing, use of fundamental identities.

2 cr
114

College Algebra II with Trigonometry
Prereq: MATH 111 with a grade of C or better; or equivalent; or appropriate placement score.  Freq: Fall, Spring.
Functions and graphs, polynomials and rational functions, exponential and logarithmic functions, trigonometric functions, trigonometric identities and equations, applications, sequences, series. Not open to those with credit in MATH 112 or 113.

5 cr
203

Intermediate Statistics
Prereq: Successfully complete the computational skills requirement. Freq: Spring.
Introduces inferential statistics including elementary combinatorics and probability, binomial and normal distributions, Central Limit Theorem, estimation, confidence internals, hypothesis testing, correlation, regression, chi-square distribution, and analysis of variance.

3 cr
214

Mathematics for Middle Childhood Through Early Adolescence Teachers I
Prereq: MATH 111 with a grade of C or better; or consent of instructor. Freq: Occasionally.
Topics include the development of the algorithms of arithmetic, numeration systems, problem solving, number theory and set theory.

5 cr
215

Mathematics for Middle Childhood Through Early Adolescence Teachers II
Prereq: MATH 215. Freq: Occasionally.
Topics include introductory geometry, constructions, congruence, similarity, motion geometry, concepts of measurements, probability and statistics.

5 cr
221

Calculus and Analytic Geometry I
Prereq: MATH 112 and 113 or equivalent or appropriate placement score. Freq: Fall, Spring.
Explains rate of change and limits, differentiation, applications of the derivative, integration, applications of the integral and transcendental functions.

5 cr
222

Calculus and Analytic Geometry II
Prereq: MATH 221. Freq: Fall, Spring.
Explains methods of integration, analytic geometry, polar coordinates, hyperbolic functions, infinite series, power series, and introduction to ordinary differential equations.

5 cr
223

Calculus and Analytic Geometry III
Prereq: MATH 222. Freq: Fall.
Explains vectors and parametric equations, vector functions and their derivatives, partial and directional derivatives, multiple integrals, vector analysis, Green’s Theorem and Stokes’ Theorem.

5 cr
231

Discrete Mathematics
Prereq: MATH 112 with a C or better.  Freq: Fall, Spring.
Covers sets; the number system; Boolean algebra; formal logic and proofs; relations and functions; combinatorics and recurrence relations; graphs and trees.  Cross-listed with CSCI 231.

3 cr
290

Special Topics in Mathematics
Prereq: None. Freq: Occasionally.
Selected topics in mathematics will be examined.

1-4 cr
301

Linear Algebra
Prereq: MATH 223 or MATH 222 and consent of instructor. Freq: Fall.
Introduction to linear algebra including systems of equations, matrices, determinants, vector spaces and linear transformations, and diagonalization.

4 cr
303

Set Theory, Logic and Proof
Prereq: MATH 222; or PHIL 201 and consent of instructor. Freq: Fall, Spring.
Examines the elementary propositional and predicate logic; language and axioms of set theory; operations on sets; well-orderings, ordinals, transfinite induction and recursion; cardinals; the axiom of choice; combinatorics; reading and writing of proofs in mathematics. Cross-listed with PHIL 303.

4 cr
309

Probability and Statistics
Prereq: MATH 221 with a grade of C or better. Freq: Spring.
Covers elementary probability; random variables, properties of distributions, sampling, queuing theory, central limit theorem and law of large numbers. Cross-listed with CSCI 309.

3 cr
310

Advanced Probability Theory and Statistics
Prereq: MATH  223. Freq: Fall.
The main mathematical methods and techniques of probability theory; random variables, expected values, variance, central limit theorem, parameter estimation, and hypothesis testing.

4 cr
317

Differential Equations and Their Applications
Prereq: MATH 222. Freq: Fall.
Examines first- and second-order differential equations and applications; higher-order linear differential equations; series solutions of second-order differential equations; Laplace transforms; matrix algebra, systems of equations, eigen values and eigenvectors; systems of differential equations; and partial differential equations. Not open to those with credit in MATH 321.

4 cr
331

Logic and Combinatorics
Prereq:  MATH 222. Freq: Yearly.
Permutations and combinations, graphs, trees, mathematical induction, propositional calculus, Mathematica and its applications in combinatorics, number theory and linear programming. Intended for students working for teaching certification in mathematics.

3 cr
350

Advanced Calculus
Prereq: MATH 223, 303. Freq: Spring.
Covers the fundamental notions of limits, continuity, uniform continuity, derivative, and integral. Examines infinite series with a study of convergence and uniform convergence.

4 cr
361

Foundations of Geometry
Prereq: MATH 222. Freq: Yearly.
Introduction to axiomatic geometry including Euclidean, non-Euclidean, and projective geometries.

3 cr
367

Elementary Number Theory
Prereq: MATH 222. Freq: Spring.
Prime numbers, fundamental theorem of arithmetic, congruence, quadratic residues and quadratic reciprocity, partitions, number theoretic functions and diophantine equations.

4 cr
368

Mathematical Modeling
Prereq: MATH 222; PHYS 241 or CSCI 130 or consent of instructor. Freq: Yearly.
Surveys mathematical models, models involving differential equations, probabilistic models, Markovian models, simulation, and Monte Carlo methods. Cross-listed with CSCI 368.

3 cr
373

History of Mathematics
Prereq: MATH 221 or consent of instructor. Freq: Occasionally.    
Main lines of mathematical development from the Babylonians, Egyptians and Greeks  to  the  present  day; the  lives  of  great  mathematicians: Euclid, Archimedes, Descartes, Newton, Gauss, Cantor.

3 cr
401

Applied Mathematics
Prereq: MATH 223, 317. Freq: Fall (odd years).
Explores traditional analytical and numerical methods enriched by modern mathematical developments and applications to various fields such as ocean and atmospheric sciences. Combines approximate forms of the basic mathematical equations of motion with analysis.

3 cr
421

Real Analysis
Prereq: MATH 350. Freq: Occasionally.
Construction of the real number system; basic theory of metric spaces; fundamental notions of limit, continuity, uniform continuity and basic theorems concerning these; convergence and uniform convergence; differentiation and the Riemann integral.

4 cr
422

Topics in Real Analysis
Prereq: MATH 421. Freq: Occasionally.
Differentials and Jacobians; implicit and inverse function theorems; introduction to the Lebesque integral; additional topics chosen in accordance with the interests and needs of the participants.

4 cr
423

Complex Analysis
Prereq: MATH 223, 303. Freq: Spring.
Examines elementary functions of a complex variable; analytic functions; complex integrals and residue theory; conformal mapping; applications to electrostatics and hydrodynamics.

4 cr
441

Abstract Algebra
Prereq: MATH 301, MATH 303; or consent of instructor. Freq: Fall.
A study of group theory which includes subgroups, normal subgroups, isomorphisms, quotient groups, Cayley’s Theorem, and Lagrange’s Theorem. Provides an introduction to ring theory which includes subrings, ideals and factor rings, and polynomial rings.

4 cr
442

Topics in Abstract Algebra
Prereq: MATH 441. Freq: Occasionally.
Rings and ideals; fundamental theorems of Abelian groups; Sylow theorems; solvable groups; elements of Galois theory; solvability by radicals; characteristic roots, matrices and canonical forms. Additional topics chosen in accordance with the needs and interests of the participants, e.g. applications of group theory.

4 cr
451

Topology
Prereq: MATH 301, MATH 303; or consent of instructor. Freq: Spring.
Introduction to the theory of topological spaces, metric spaces, continuous functions, two-dimensional manifolds, and the concept of the fundamental group.

4 cr
461

Differential Geometry
Prereq: MATH 301, 350. Freq: Occasionally.
Local theory of curves and surfaces, curvature tensors, and global theory of surfaces.

3 cr
467

Computability and Automata
Prereq: MATH/CSCI 331 with a grade of C or better. Freq: Occasionally.
Turing machines, recursive functions, Kleene’s T Predicate, Ackermann’s functions, finite automata, grammars and languages. Cross-listed as CSCI 467.

3 cr
490

Special Topics in Mathematics
Prereq: Consent of instructor. Freq: Occasionally.
Intensive treatment of various specialized areas of mathematics.

1-3 cr
495

Senior Seminar
Prereq: Senior standing and consent of instructor. Freq: Occasionally.
Research and presentation of selected topics from the mathematical literature. One-hour discussion.

1-2 cr
499

Independent Study
Prereq: Consent of instructor and department chair. Freq: Occasionally.

1-3 cr

 

Courses in Pre-Engineering (PENG)

211

Statics
Prereq: MATH 221 with grade of C or better, concurrent enrollment in MATH 222. Freq: Spring.
Discusses vectors, equilibrium of a particle, resultants of force systems, equilibrium of rigid bodies in two and three dimensions, structural analysis, friction, centroids, and moments in inertia. Required for the pre-engineering articulation agreement with UW-Milwaukee.

3 cr
212

Dynamics
Prereq: MATH 222 with a grade of C or better, concurrent enrollment in MATH 223; PENG 211. Freq: Fall.
Covers motion and the laws of motion in different dimensions of space using various orthogonal curvilinear coordinates; relative motion; work and energy; conservative forces and potential energy; conservation of linear and angular momentum; and rigid body motion. Required for the pre-engineering articulation agreement with UW-Milwaukee.

3 cr
214

Electrical Circuits I
Prereq: PHYS 202 with a grade of C or better. Freq: Spring.
Covers circuit laws and analysis, restrictive circuits, energy storage, AC circuits and power, three-phase circuits, and computer-aided analysis. Required for the pre-engineering articulation agreement with UW-Milwaukee.

3 cr
215

Materials Science and Engineering
Prereq: CHEM 101, MATH 222, PHYS 202. Freq: Fall
Introduces materials science and engineering.  Covers the structure and basic properties of various engineering materials, including metals and alloys, ceramics, plastics, and composite materials.  Includes laboratory work.

4 cr
216

Engineering Drawing and Computer Aided Design
Prereq: MATH 112, 113; or MATH 114. Freq: Spring.
Covers fundamentals of computer aided design (CAD), solid modeling, engineering drawings, dimensioning and specifications.

3 cr

 

Courses in Physics (PHYS)

101

Principles of Physics
Prereq: Computational Skills required or equivalent. Freq: Fall, Spring.
A  one-semester  introduction  to  fundamental  principles  of  physics, their  experimental  basis,  and  applications.  For students who need an introductory course in physics. Not open to students with credit in PHYS 105 or 201. Three-hour lecture; one-hour discussion.

4 cr
105

College Physics I
Prereq: MATH 113, 114 or equivalent. Freq: Fall.
Mechanics, heat, and sound. Not recommended for students majoring in physical science or engineering. Not open to students with credit in PHYS 201. Three-hour lecture; one-hour discussion; three-hour lab.

5 cr
106

College Physics II
Prereq: PHYS 105. Freq: Spring.
Electricity and magnetism, light and modern physics. Not open to students with credit in PHYS 202. Three-hour lecture; one-hour discussion; three-hour lab.

5 cr
110

Introduction to Astronomy
Prereq: None. Freq: Fall, Spring.
Astronomy for non-scientists.  Largely non-mathematical. Planets, stellar evolution, galactic systems, cosmology. Three-hour lecture.

3 cr
120

Astronomy of Native America
Prereq: None. Freq: Fall, Spring.
Examines the astronomical views of Native Americans from a cultural perspective and looks at how worldview, science and discrimination intersect. Current cultural conflicts between Western astronomers and Native groups and the growth of modern astronomy from the astronomies of indigenous cultures will be examined. Cross-listed with ETHN 120. Three-hour lecture.

3 cr
150

Physics of Music
Prereq: None. Freq: Occasionally.
An introduction to the basic physical principles underlying music and musical instruments. Not for credit towards the physics major.

3 cr
201

General Physics I
Prereq: MATH 221 with a grade of C or better; or concurrent registration. Freq: Fall, Spring.
Investigates mechanics, heat, and sound. For physical science and engineering majors. Three-hour lecture; one-hour discussion; three-hour lab.

5 cr
202

General Physics II
Prereq: PHYS 201; MATH 222 or concurrent registration. Freq: Fall, Spring.
Investigates electricity and magnetism, geometrical optics, and physical optics. For physical science and engineering majors. Three-hour lecture; one-hour discussion; three-hour lab.

5 cr
205

Modern Physics
Prereq: CHEM 101, MATH 22, PHYS 202. Freq: Fall.
Special relativity. Elements of quantum mechanics. Introduction to atomic, molecular, solid state, nuclear, and particle physics. Three-hour lecture.

3 cr
241

Scientific Programming
Prereq: PHYS 201; MATH 221 or consent of instructor. Freq: Spring.
Studies programming in MATLAB and another high-level language, such as Python, with applications to science and engineering.

3 cr
290

Special Topics in Physics
Prereq: Consent of instructor. Freq: Occasionally.
Special topics in physics will be examined.

1-4 cr
301

Classical Mechanics
Prereq: PHYS 201 and 202 with grades of C or better; MATH 317, or concurrent registration; or consent of instructor. Freq: Fall (even years).
Vector analysis, conservation laws, planetary motion, rigid-body dynamics, free and forced oscillations, normal coordinates, moving coordinate systems, generalized coordinates, Lagrangian and Hamiltonian formulations. Continuum mechanics. Four-hour lecture.

4 cr
302

Electricity and Magnetism
Prereq: PHYS 201 and 202 with grades of C or better; MATH 317, or concurrent registration; or consent of instructor. Freq: Fall.
Electrostatics, magnetostatics, electromagnetic fields through Maxwell’s equations with basic applications. Radiation, Lienard-Wiechert potentials, sources of radiation, antenna theory. Scalar diffraction theory. Wave optics for transparent or conductive media. Four-hour lecture.

4 cr
303

Computational Physics
Prereq: PHYS 201 and 202 with grades of C or better; PHYS 205, 241; MATH 223; or consent of instructor. Freq: Spring.
Introduces computational physics with applications to classical mechanics, electromagnetism, and quantum mechanics. Monte Carlo methods. Introduces molecular dynamics. Three-hour lecture.

3 cr
306

Advanced Experiments in Physics
Prereq: PHYS 201 and 202 with grades of C or better; PHYS 205. Freq: Spring (odd years).
Covers advanced experiments in optics, atomic, molecular, solid state, and nuclear physics. Examines analog electronics through transistors and op-amps. Includes basic digital electronics. Six-hour lab.

3 cr
401

Mathematical Methods of Physics
Prereq: MATH 223, 317. Freq: Fall (even years).
Applies mathematical methods to physical sciences with emphasis on physics. Covers a wide range of mathematical methods, including vector and tensor analysis and coordinate transformations, complex variables, Fourier series and integral transforms, Sturm-Liouville systems and orthogonal functions, partial differential equations, calculus of variations, and probability and statistics.

3 cr
403

Thermodynamics and Statistical Physics
Prereq: PHYS 201 and 202 with grades of C or better; PHYS 205; MATH 301 and 317 or PHYS 401 or consent of instructor. Freq: Spring.
Introduces thermodynamics and equilibrium statistical mechanics. Includes the laws of thermodynamics, Legendre transformations and thermodynamic potentials, Maxwell relations, thermodynamic stability and its consequences, classical and quantum statistical mechanics, and black-body radiation.

4 cr
441

Quantum Physics
Prereq: PHYS 201 and 202 with grades of C or better; PHYS 205; MATH 301 and 317 or PHYS 401; or consent of instructor. Freq: Spring (odd years).
Explores quantum mechanics, free particle in wave mechanics, particles in one-dimensional potentials, axiomatic foundations of quantum mechanics, the evolution of states in time, particles in three dimensions, angular momentum, and central potentials. Introduces the concept of spin and the exclusion principle, and the Dirac equation with its associated phenomenology. Four-hour lecture.

4 cr
490

Special Topics in Physics
Prereq: PHYS 201 and 202 with grades of C or better and consent of instructor. Freq: Occasionally.
Examines special topics in physics.

1-4 cr
494

Internship in Physics
Prereq: PHYS 201 and 202 with grades of C or better; GPA of 2.5 or higher; and consent of instructor. Freq: Fall, Spring, Summer.
Work in a physics-related position under joint supervision of a physics faculty and a member of the sponsoring public or private organization.

1-3 cr
495

Senior Seminar
Prereq: PHYS 201 and 202 with grades of C or better; junior or senior standing. Freq: Fall, Spring.
A directed study of one of the current topics in physics. Students are recommended to take two consecutive semesters of 495.

1 cr
497

Senior Thesis
Prereq: PHYS 201 and 202 with grades of C or better; and consent of instructor. Freq: Occasionally.
Investigates advanced topics in physics.

1-2 cr
499

Independent Study
Prereq: PHYS 201 and 202 with grades of C or better; consent of instructor and department chair. Freq: Occasionally.
Investigates advanced topics in physics.

1-3 cr
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