# Math and Physics

College: College of Natural & Health Sciences

**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

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

**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 Advisor to coordinate the major and teacher education curriculum. It is very important to contact the IPED advisor at 262-595-2180 or Greenquist 210 as soon as possible. Students are required to seek advising each semester from both the IPED Advisor 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: http://www.uwp.edu/learn/departments/educatordevelopment/index.cfm

**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.

## Computational Skills Requirement

Students satisfy this requirement with the completion of either MATH 102 Survey of Mathematics or MATH 103 Elementary Statistics for 3 credits or MATH 111 College Algebra I 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 Survey of Mathematics or MATH 111 College Algebra I. 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:

- MATH 102 Survey of Mathematics, MATH 103 Elementary Statistics, MATH 104 Quantitative Reasoning or MATH 111 College Algebra I – 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.
- MATH 112 College Algebra II, MATH 113 Trigonometry or MATH 114 College Algebra II/Trigonometry – students with three years of high school mathematics.
- MATH 221 Calculus and Analytic Geometry I – students with four years of high school mathematics.

Math Bridge is a required four-week math program for new and continuing students who could benefit from additional math support. It is designed to help students build confidence and mathematical skill.

## Program Level Outcomes for Physics

- Student should be scientifically literate in the foundations of physics, both theoretical and practical.
- 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.
- Students will master the tools of modern physics; mathematical, computational, and experimental.
- 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.
- 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.

**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 Calculus and Analytic Geometry I or successful completion of the pre-requisites for MATH 221 Calculus and Analytic Geometry I.
- 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 | ||
---|---|---|

Fall Semester | Credits | |

UW-Parkside - Electrical Engineering Program | ||

MATH 221 | Calculus and Analytic Geometry I | 5 |

PHYS 201 | General Physics I | 5 |

CHEM 101 & CHEM 103 |
General Chemistry I and General Chemistry Lab I |
5 |

ENGL 101 | Composition and Reading | 3 |

Credits | 18 | |

Winterim Semester | ||

Gen Ed | Social/Behavioral Sciences | 3 |

Credits | 3 | |

Spring Semester | ||

MATH 222 | Calculus and Analytic Geometry II | 5 |

PHYS 202 | General Physics II | 5 |

PHYS 241 | Scientific Programming ^{1} |
3 |

Gen Ed | Social/Behavioral Sciences | 3 |

Credits | 16 | |

Summer Semester | ||

Gen Ed | Social/Behavioral Sciences | 3 |

Credits | 3 | |

Year 2 | ||

Fall Semester | ||

UW-Parkside - Electrical Engineering Program | ||

MATH 223 | Calculus and Analytic Geometry III | 5 |

MATH 317 | Differential Equations and their Applications ^{2} |
4 |

PHYS 302 | Electricity and Magnetism ^{3} |
4 |

ENGL 167 | Introduction to Literature (HU) | 3 |

Credits | 16 | |

Winterim Semester | ||

Gen Ed | Humanities/Arts | 3 |

Credits | 3 | |

Spring Semester | ||

PENG 214 | Electrical Circuits I ^{4} |
3 |

PHYS 403 | Thermodynamics ^{5} |
4 |

Gen Ed | Humanities/Arts | 3 |

Gen Ed | Social/Behavioral Sciences | 3 |

ENGL 201 | Advanced Composition | 3 |

Credits | 16 | |

Summer Semester | ||

SPCH 105 | Public Speaking (HU) | 3 |

Credits | 3 | |

Year 3 | ||

Fall Semester | ||

UWM Electrical Engineering | ||

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 |

Credits | 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 | |

Credits | 18 | |

Year 4 | ||

Fall Semester | ||

UWM Electrical Engineering | ||

ELEC ENG 420 | Random Signals & Systems | 3 |

3-Approved Technical Electives | 9 | |

MATL 201 | Engineering Materials | 4 |

Credits | 16 | |

Spring Semester | ||

ELEC ENG 595 | Capstone Senior Design project | 4 |

4-Approved Technical Electives | 12 | |

Credits | 16 | |

Total Credits | 146 |

^{1} | CompSci 240-UWM |

^{2} | ELEC ENG 234-UWM |

^{3} | ELEC ENG 361-UWM |

^{4} | ELEC ENG 301-UWM |

^{5} | MECH ENG 301-UWM |

### Year 1

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 Introduction to Literature & ENGL 201 Advanced Composition) – not complete

### Year 2

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 Introduction to Literature & ENGL 201 Advanced Composition) – 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 College Algebra I. Prepared using UW-Parkside’s 2017-2019 catalog. UW-Parkside courses specific for the engineering program have prefix PENG.

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

Year 1 | ||
---|---|---|

Fall Semester | Credits | |

UW-Parkside - Mechanical Engineering Program | ||

MATH 221 | Calculus and Analytic Geometry I | 5 |

PHYS 201 | General Physics I | 5 |

CHEM 101 & CHEM 103 |
General Chemistry I and General Chemistry Lab I |
5 |

ENGL 101 | Composition and Reading | 3 |

Credits | 18 | |

Winterim Semester | ||

Gen Ed | Social/Behavioral Sciences | 3 |

Credits | 3 | |

Spring Semester | ||

MATH 222 | Calculus and Analytic Geometry II | 5 |

PHYS 202 | General Physics II | 5 |

PHYS 241 | Scientific Programming ^{1} |
3 |

PENG 211 | Statics ^{2} |
3 |

Credits | 16 | |

Summer Semester | ||

Gen Ed | Social/Behavioral Sciences | 3 |

Gen Ed | Humanities/Arts | 3 |

Credits | 6 | |

Year 2 | ||

Fall Semester | ||

UW-Parkside - Mechanical Engineering Program | ||

MATH 223 | Calculus and Analytic Geometry III | 5 |

PENG 212 | Dynamics ^{3} |
3 |

ENGL 167 | Introduction to Literature (HU) | 3 |

MATH 317 | Differential Equations and their Applications ^{4} |
4 |

Gen Ed | Social/Behavioral Sciences | 3 |

Credits | 18 | |

Winterim Semester | ||

Gen Ed | Social/Behavioral Sciences | 3 |

SPCH 105 | Public Speaking (HU) | 3 |

Credits | 6 | |

Spring Semester | ||

PHYS 403 | Thermodynamics ^{5} |
4 |

CHEM 102 & CHEM 104 |
General Chemistry II and General Chemistry Lab II |
5 |

PENG 214 | Electrical Circuits I ^{6} |
3 |

ENGL 201 | Advanced Composition | 3 |

Credits | 15 | |

Summer Semester | ||

Gen Ed | Humanities/Arts | 3 |

Credits | 3 | |

Year 3 | ||

Fall Semester | ||

UWM Mechanical Engineering | ||

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 |

Credits | 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 |

Credits | 18 | |

Year 4 | ||

Fall Semester | ||

UWM Mechanical Engineering | ||

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 | |

Credits | 16 | |

Spring Semester | ||

MECH ENG 438 | Mech Engineering Experimentation | 3 |

MECH ENG 479 | Mechatronics | 3 |

MECH ENG 496 | Senior Design Project | 3 |

3-Approved Technical Electives | 9 | |

Credits | 18 | |

Total Credits | 153 |

^{1} | MECH ENG 101-UWM |

^{2} | CIV ENG 201-UWM |

^{3} | CIV ENG 202-UWM |

^{4} | ELEC ENG 234-UWM |

^{5} | MECH ENG 301-UWM |

^{6} | ELEC ENG 301-UWM |

### Year 1

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 Introduction to Literature & ENGL 201 Advanced Composition) – not complete.

### Year 2

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 Introduction to Literature & ENGL 201 Advanced Composition) – 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 College Algebra I. Prepared using UW-Parkside’s 2017-2019 catalog. UW-Parkside courses specific for the engineering program have prefix PENG.

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

Year 1 | ||
---|---|---|

Fall Semester | Credits | |

UW-Parkside - Industrial and Manufacturing Engineering Program | ||

MATH 221 | Calculus and Analytic Geometry I | 5 |

PHYS 201 | General Physics I | 5 |

CHEM 101 & CHEM 103 |
General Chemistry I and General Chemistry Lab I |
5 |

ENGL 101 | Composition and Reading | 3 |

Credits | 18 | |

Winterim Semester | ||

Gen Ed | Social/Behavioral Sciences | 3 |

Credits | 3 | |

Spring Semester | ||

MATH 222 | Calculus and Analytic Geometry II | 5 |

PHYS 202 | General Physics II | 5 |

PHYS 241 | Scientific Programming ^{1} |
3 |

PENG 211 | Statics ^{2} |
3 |

Credits | 16 | |

Summer Semester | ||

Gen Ed | Humanities/Arts | 3 |

Gen Ed | Humanities/Arts | 3 |

Credits | 6 | |

Year 2 | ||

Fall Semester | ||

UW-Parkside - Industrial and Manufacturing Engineering Program | ||

MATH 223 | Calculus and Analytic Geometry III | 5 |

MATH 317 | Differential Equations and their Applications ^{3} |
4 |

ENGL 167 | Introduction to Literature (HU) | 3 |

PENG 212 | Dynamics ^{4} |
3 |

SPCH 105 | Public Speaking (HU) | 3 |

Credits | 18 | |

Winterim Semester | ||

Gen Ed | Social/Behavioral Sciences | 3 |

Credits | 3 | |

Spring Semester | ||

CHEM 102 & CHEM 104 |
General Chemistry II and General Chemistry Lab II |
5 |

PHYS 403 | Thermodynamics ^{5} |
4 |

PENG 214 | Electrical Circuits I ^{6} |
3 |

ENGL 201 | Advanced Composition | 3 |

Gen Ed | Social/Behavioral Sciences | 3 |

Credits | 18 | |

Summer Semester | ||

Gen Ed | Social/Behavioral Sciences | 3 |

Credits | 3 | |

Year 3 | ||

Fall Semester | ||

UWM Industrial and Manufacturing Engineering | ||

EAS 200 | Professional Seminar | 1 |

IND ENG 370 | Introduction to Operations Analysis | 3 |

IND ENG 455 | Operations Research I | 3 |

IND ENG 367 | Intro Statistics for Engineers | 3 |

MATL ENG 201 | Engineering Materials | 4 |

Credits | 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 |

Credits | 15 | |

Year 4 | ||

Fall Semester | ||

UWM Industrial and Manufacturing Engineering | ||

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 | |

Credits | 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 |

Credits | 15 | |

Total Credits | 144 |

^{1} | CompSci 240-UWM |

^{2} | CIV ENG 201-UWM |

^{3} | ELEC ENG 234-UWM |

^{4} | CIV ENG 202-UWM |

^{5} | MECH ENG 301-UWM |

^{6} | ELEC ENG 301-UWM |

### Year 1

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 Introduction to Literature & ENGL 201 Advanced Composition) – not complete.

### Year 2

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 Introduction to Literature & ENGL 201 Advanced Composition) – 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 College Algebra I. Prepared using UW-Parkside’s 2017-2019 catalog. UW-Parkside courses specific for the engineering program have prefix PENG.

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

Year 1 | ||
---|---|---|

Fall Semester | Credits | |

UW-Parkside - Biomedical Engineering Program | ||

MATH 221 | Calculus and Analytic Geometry I | 5 |

PHYS 201 | General Physics I | 5 |

CHEM 101 & CHEM 103 |
General Chemistry I and General Chemistry Lab I |
5 |

ENGL 101 | Composition and Reading | 3 |

Credits | 18 | |

Winterim Semester | ||

Gen Ed | Social/Behavioral Sciences | 3 |

Credits | 3 | |

Spring Semester | ||

MATH 222 | Calculus and Analytic Geometry II | 5 |

PHYS 202 | General Physics II | 5 |

PHYS 241 | Scientific Programming ^{1} |
3 |

PENG 211 | Statics ^{2} |
3 |

Credits | 16 | |

Summer Semester | ||

Gen Ed | Social/Behavioral Sciences | 3 |

Gen Ed | Humanities/Arts | 3 |

Credits | 6 | |

Year 2 | ||

Fall Semester | ||

UW-Parkside - Biomedical Engineering Program | ||

MATH 223 | Calculus and Analytic Geometry III | 5 |

PENG 212 | Dynamics ^{3} |
3 |

BIOS 105 | Human Physiology and Anatomy I | 5 |

MATH 317 | Differential Equations and their Applications ^{4} |
4 |

Credits | 17 | |

Winterim Semester | ||

Gen Ed | Social/Behavioral Sciences | 3 |

SPCH 105 | Public Speaking (HU) | 3 |

Credits | 6 | |

Spring Semester | ||

PENG 214 | Electrical Circuits I ^{5} |
3 |

PHYS 403 | Thermodynamics ^{6} |
4 |

BIOS 106 | Human Physiology and Anatomy II | 5 |

ENGL 201 | Advanced Composition | 3 |

ENGL 167 | Introduction to Literature (HU) | 3 |

Credits | 18 | |

Summer Semester | ||

Gen Ed | Social Behavioral Sciences | 3 |

Gen Ed | Humanities/Arts | 3 |

Credits | 6 | |

Year 3 | ||

Fall Semester | ||

UWM Biomedical Engineering | ||

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 |

Credits | 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 |

Credits | 13 | |

Year 4 | ||

Fall Semester | ||

UWM Biomedical Engineering | ||

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 | |

Credits | 15 | |

Spring Semester | ||

BME 595 | Capstone Design Project | 4 |

2-Technical Elective | 6 | |

Credits | 10 | |

Total Credits | 144 |

^{1} | MECH ENG 101-UWM |

^{2} | CIV ENG 201-UWM |

^{3} | CIV ENG 202-UWM |

^{4} | ELEC ENG 234-UWM |

^{5} | ELEC ENG 301-UWM |

^{6} | MECH ENG 301-UWM |

### Year 1

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 Introduction to Literature & ENGL 201 Advanced Composition) – not complete.

### Year 2

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 Introduction to Literature & ENGL 201 Advanced Composition) – complete.

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 College Algebra I. Prepared using UW-Parkside’s 2017-2019 catalog. UW-Parkside courses specific for the engineering program have prefix PENG.

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

Year 1 | ||
---|---|---|

Fall Semester | Credits | |

UW-Parkside - Civil Engineering Program | ||

MATH 221 | Calculus and Analytic Geometry I | 5 |

PHYS 201 | General Physics I | 5 |

CHEM 101 & CHEM 103 |
General Chemistry I and General Chemistry Lab I |
5 |

ENGL 101 | Composition and Reading | 3 |

Credits | 18 | |

Winterim Semester | ||

Gen Ed | Social/Behavioral Sciences | 3 |

Credits | 3 | |

Spring Semester | ||

MATH 222 | Calculus and Analytic Geometry II | 5 |

PHYS 202 | General Physics II | 5 |

Gen Ed | Social/Behavioral Sciences | 3 |

PENG 211 | Statics ^{1} |
3 |

Credits | 16 | |

Summer Semester | ||

Gen Ed | Humanities/Arts | 3 |

Credits | 3 | |

Year 2 | ||

Fall Semester | ||

UW-Parkside - Civil Engineering Program | ||

MATH 223 | Calculus and Analytic Geometry III | 5 |

MATH 317 | Differential Equations and their Applications ^{2} |
4 |

PENG 212 | Dynamics ^{3} |
3 |

ENGL 167 | Introduction to Literature (HU) | 3 |

SPCH 105 | Public Speaking (HU) | 3 |

Credits | 18 | |

Winterim Semester | ||

Gen Ed | Social/Behavioral Sciences | 3 |

Credits | 3 | |

Spring Semester | ||

PENG 216 | Engineering Drawing and Computer Aided Design ^{4} |
3 |

PHYS 403 | Thermodynamics ^{5} |
4 |

CHEM 102 & CHEM 104 |
General Chemistry II and General Chemistry Lab II |
5 |

ENGL 201 | Advanced Composition | 3 |

Gen Ed | Humanities/Arts | 3 |

Credits | 18 | |

Summer Semester | ||

Gen Ed | Social/Behavioral Sciences | 3 |

Credits | 3 | |

Year 3 | ||

Fall Semester | ||

UWM Civil Engineering | ||

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 |

Credits | 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 | |

Credits | 18 | |

Year 4 | ||

Fall Semester | ||

UWM Civil Engineering | ||

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 |

Credits | 17 | |

Spring Semester | ||

CIV ENG 495 | Senior Design | 3 |

4-Approved Technical Electives | 12 | |

IND ENG 360 | Engineering Economic Analysis | 3 |

Credits | 18 | |

Total Credits | 149 |

^{1} | CIV ENG 201-UWM |

^{2} | ELEC ENG 234-UWM |

^{3} | CIV ENG 202-UWM |

^{4} | IND ENG 112-UWM |

^{5} | MECH ENG 301-UWM |

### Year 1

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 Introduction to Literature & ENGL 201 Advanced Composition) – not complete.

### Year 2

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 Introduction to Literature & ENGL 201 Advanced Composition) – complete.

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

Year 1 | ||
---|---|---|

Fall Semester | Credits | |

UW-Parkside - Materials Engineering Program | ||

MATH 221 | Calculus and Analytic Geometry I | 5 |

PHYS 201 | General Physics I | 5 |

CHEM 101 & CHEM 103 |
General Chemistry I and General Chemistry Lab I |
5 |

ENGL 101 | Composition and Reading | 3 |

Credits | 18 | |

Winterim Semester | ||

Gen Ed | Social/Behavioral Sciences | 3 |

Credits | 3 | |

Spring Semester | ||

MATH 222 | Calculus and Analytic Geometry II | 5 |

PHYS 202 | General Physics II | 5 |

PHYS 241 | Scientific Programming ^{1} |
3 |

PENG 211 | Statics ^{2} |
3 |

Credits | 16 | |

Summer Semester | ||

Gen Ed | Humanities/Arts | 3 |

Credits | 3 | |

Year 2 | ||

Fall Semester | ||

UW-Parkside - Materials Engineering Program | ||

MATH 223 | Calculus and Analytic Geometry III | 5 |

MATH 317 | Differential Equations and their Applications ^{3} |
4 |

PENG 212 | Dynamics ^{4} |
3 |

ENGL 167 | Introduction to Literature (HU) | 3 |

SPCH 105 | Public Speaking (HU) | 3 |

Credits | 18 | |

Winterim Semester | ||

Gen Ed | Social/Behavioral Sciences | 3 |

Credits | 3 | |

Spring Semester | ||

CHEM 102 & CHEM 104 |
General Chemistry II and General Chemistry Lab II |
5 |

PENG 214 | Electrical Circuits I ^{5} |
3 |

ENGL 201 | Advanced Composition | 3 |

Gen Ed | Humanities/Arts | 3 |

Gen Ed | Social/Behavioral Sciences | 3 |

Credits | 17 | |

Summer Semester | ||

Gen Ed | Social/Behavioral Sciences | 3 |

MATL ENG 201 at UWM | 4 | |

Credits | 7 | |

Year 3 | ||

Fall Semester | ||

UWM Materials Engineering | ||

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 |

Credits | 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 | |

Credits | 12 | |

Year 4 | ||

Fall Semester | ||

UWM Materials Engineering | ||

MATL ENG 411 | Materials Laboratory | 3 |

MATL ENG 452 | Ceramic Materials | 3 |

MATL ENG 490 | Senior Design Project 1 | 1 |

3-Technical Electives | 9 | |

Credits | 16 | |

Spring Semester | ||

MATL ENG 443 | Transport & Kinetics in Materials Processing | 3 |

MATL ENG 491 | Senior Design Project 2 | 3 |

3-Technical Electives | 9 | |

Credits | 15 | |

Total Credits | 142 |

^{1} | CompSci 240-UWM |

^{2} | CIV ENG 201-UWM |

^{3} | ELEC ENG 234-UWM |

^{4} | CIV ENG 202-UWM |

^{5} | ELEC ENG 301-UWM |

### Year 1

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 Introduction to Literature & ENGL 201 Advanced Composition) – not complete.

### Year 2

## Courses in Math

#### MATH 102 | Survey of Mathematics | 4 cr

Covers topics selected from review of algebra fundamentals, 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.

**Prerequisites:** Appropriate placement.

**Offered:** Fall, Spring.

**Meets:** Computational Skills

#### MATH 103 | Elementary Statistics | 4 cr

Introduces modern statistics including statistics and data, displaying descriptive statistics, measures of central tendency and dispersion, probability and counting, the binomial and normal probability distributions, sampling and sampling distributions, confidence intervals, hypothesis testing; and correlation and regression. Reviews topics including order of operations, function evaluation, inequalities, and linear functions. Not open to students with credits in any of these courses: BIOS 210, GEOG 300, GEOS 295, MATH 203, POLS 200, PSYC 250, QM 210, 310, SOCA 250, 295 or 300. Four-hour lecture.

**Prerequisites:** Appropriate placement.

**Offered:** Fall, Spring.

**Meets:** Natural Science: MATH

#### MATH 104 | Quantitative Reasoning | 4 cr

Covers topics from college algebra (such as functions, linear, exponential and logarithmic models), statistics, and graphing. Emphasizes proportional reasoning, modeling, problem-solving and applications. Designed for students whose program does not require further coursework in pre-calculus or calculus. Three-hour lecture, one-hour discussion required.

**Prerequisites:** Appropriate placement.

**Offered:** Fall, Spring.

**Meets:** Computational Skills

#### MATH 105AX | Business Algebra Fundamentals | 2 cr

Models business scenarios using algebraic techniques and analysis to help solve business problems and make predictions. Successfully completing MATH 105AX, MATH 105BX, and MATH 105CX satisfies the UW-P computational skills requirement for flexible option students.

**Prerequisites:** Admission to the Flexible Option Program and consent of program representative.

#### MATH 105BX | Money in the Bank: Application of Exponential and Logarithmic Functions | 1 cr

Covers evaluation of investment options, including factors such as interest rate, compounding period, and length of contract. Applies exponential and logarithmic functions to determine the best investment options. Successfully completing MATH 105AX, MATH 105BX, and MATH 105CX satisfies the UW-P computational skills requirement for flexible option students.

**Prerequisites:** MATH 105AX; admission to the Flexible Option Program and consent of program representative.

#### MATH 105CX | Application of Algebraic Methods to Model and Solve Business Problems | 1 cr

Models business scenarios using algebraic methods. Identifies and applies the best method to solve the business problems. Successfully completing MATH 105AX, MATH 105BX, and MATH 105CX satisfies the UW-P computational skills requirement for flexible option students.

**Prerequisites:** MATH 105BX; admission to the Flexible Option Program and consent of program representative.

#### MATH 111 | College Algebra I | 5 cr

Explores linear equations, single and compound inequalities, and absolute value equations and inequalities; equations of lines and linear systems; 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; rational operations and equations; 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; introduction to exponential and logarithmic functions and equations.

**Prerequisites:** Appropriate placement.

**Offered:** Fall, Spring.

**Meets:** Computational Skills

#### MATH 112 | College Algebra II | 4 cr

Explores functions and graphs, polynomial functions, exponential and logarithmic functions, sequences, series, induction and combinatorics. Four hour lecture.

**Prerequisites:** MATH 111 with C or better; or equivalent; or appropriate placement.

**Offered:** Fall, Spring.

#### MATH 113 | Trigonometry | 2 cr

Introduces trigonometry with applications including angular and circular definitions of trigonometric functions, graphing, use of fundamental identities.

**Prerequisites:** MATH 112 or equivalent or concurrent registration.

**Offered:** Fall, Spring.

#### MATH 114 | College Algebra II/Trigonometry | 5 cr

Covers 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.

**Prerequisites:** MATH 111 with C or better; or equivalent, or appropriate placement; not open to those with credit in MATH 112 or MATH 113.

**Offered:** Fall, Spring.

#### MATH 203 | Intermediate Statistics | 3 cr

Introduces inferential statistics including elementary combinatorics and probability, binomial and normal distributions, Central Limit Theorem, estimation, confidence intervals, hypothesis testing, correlation, regression, chi-square distribution, and analysis of variance.

**Prerequisites:** Successful completion of Computational Skills requirement.

**Offered:** Spring.

#### MATH 215 | Math for Middle Childhood Through Early Adolescence Teachers I | 3 cr

Topics include the development of the algorithms of arithmetic, numeration systems, problem solving, number theory and set theory.

**Prerequisites:** MATH 111 with grade of C or better or consent of instructor.

**Offered:** Occasionally.

#### MATH 216 | Math for Middle Childhood Thru Early Adolescence Teachers II | 3 cr

Topics include introductory geometry, constructions, congruence, similarity, motion geometry, concepts of measurements, probability and statistics.

**Prerequisites:** MATH 215.

**Offered:** Occasionally.

#### MATH 221 | Calculus and Analytic Geometry I | 5 cr

Explains rate of change and limits, differentiation, applications of the derivative, integration, applications of the integral and transcendental functions.

**Offered:** Fall, Spring.

**Meets:** Natural Science: MATH

#### MATH 222 | Calculus and Analytic Geometry II | 5 cr

Examines methods of integration, analytic geometry, polar coordinates, hyperbolic functions, infinite series, power series, and introduces ordinary differential equations.

**Prerequisites:** MATH 221.

**Offered:** Fall, Spring.

**Meets:** Natural Science: MATH

#### MATH 223 | Calculus and Analytic Geometry III | 5 cr

Explains vectors and parametric equations, vector functions and their derivatives, partial and directional derivatives, multiple integrals, vector analysis, Green's Theorem and Stokes' Theorem.

**Prerequisites:** MATH 222.

**Offered:** Fall.

#### MATH 231 | Discrete Mathematics | 3 cr

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.

**Prerequisites:** MATH 112 with a C or better.

**Offered:** Fall, Spring.

#### MATH 290 | Special Topics in Mathematics | 1-4 cr

Selected topics in mathematics will be examined.

**Prerequisites:** None.

**Offered:** Occasionally.

#### MATH 301 | Linear Algebra | 4 cr

Introduction to linear algebra including systems of equations, matrices, determinants, vector spaces and linear transformations, and diagonalization.

**Offered:** Fall.

#### MATH 303 | Set Theory, Logic and Proof | 4 cr

Examines 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.

**Offered:** Fall.

#### MATH 309 | Probability and Statistics | 3 cr

Covers elementary probability, random variables, properties of distributions, sampling, queuing theory, central limit theorem and law of large numbers. Cross-listed with: CSCI 309.

**Prerequisites:** MATH 221 with a C or better.

**Offered:** Spring.

#### MATH 310 | Advanced Probability Theory and Statistics | 4 cr

The main mathematical methods and techniques of probability theory; random variables, expected values, variance, central limit theorem, parameter estimation and hypothesis testing.

**Prerequisites:** MATH 223.

**Offered:** Fall.

#### MATH 317 | Differential Equations and their Applications | 4 cr

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.

**Prerequisites:** MATH 222.

**Offered:** Fall.

#### MATH 331 | Logic and Combinatorics | 3 cr

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.

**Prerequisites:** MATH 222.

#### MATH 350 | Advanced Calculus | 4 cr

Covers the fundamental notions of limits, continuity, uniform continuity, derivative, and integral. Examines infinite series with a study of convergence and uniform convergence.

**Offered:** Spring.

#### MATH 361 | Foundations of Geometry | 3 cr

Introduction to axiomatic geometry including Euclidean, non-Euclidean, and projective geometries.

**Prerequisites:** MATH 222.

#### MATH 367 | Elementary Number Theory | 4 cr

Prime numbers, fundamental theorem of arithmetic, congruence, quadratic residues and quadratic reciprocity, number theoretic functions and diophantine equations.

**Prerequisites:** MATH 222.

#### MATH 368 | Mathematical Modeling | 3 cr

Surveys mathematical models, models involving differential equations, probabilistic models, Markovian-models, simulation, and Monte Carlo methods. Cross-listed with: CSCI 368.

**Offered:** Yearly.

#### MATH 373 | History of Mathematics | 3 cr

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.

**Prerequisites:** MATH 221 or consent of instructor.

**Offered:** Occasionally.

#### MATH 401 | Applied Mathematics | 3 cr

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.

**Offered:** Fall (odd years).

#### MATH 423 | Complex Analysis | 4 cr

Examines elementary functions of a complex variable; analytic -functions; complex integrals and residue theory; conformal mapping; applications to electrostatics and hydrodynamics.

**Offered:** Spring.

#### MATH 441 | Abstract Algebra | 4 cr

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.

**Offered:** Fall.

#### MATH 451 | Topology | 4 cr

Introduction to the theory of topological spaces, metric spaces, continuous functions, 2-dimensional manifolds, and the concept of the fundamental group.

**Offered:** Spring.

#### MATH 461 | Differential Geometry | 3 cr

Local theory of curves and surfaces, curvature tensors, and global theory of surfaces.

**Offered:** Occasionally.

#### MATH 490 | Special Topics in Mathematics | 1 cr

Intensive treatment of various specialized areas of mathematics.

**Prerequisites:** Instructor consent.

**Offered:** Occasionally.

#### MATH 495 | Senior Seminar | 1-2 cr

Research and presentation of selected topics from the mathematical literature.

**Prerequisites:** Senior standing and consent of instructor.

**Offered:** Fall.

#### MATH 499 | Independent Study | 1-4 cr

**Prerequisites:** Consent of instructor and department chair.

**Offered:** Occasionally.

## Courses in Physics

#### PHYS 101 | Principles of Physics | 4 cr

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/demo; one-hour discussion.

**Prerequisites:** Completion of computational skills requirement or equivalent.

**Offered:** Fall, Spring.

**Meets:** Natural Science: PHYS

#### PHYS 105 | College Physics I | 5 cr

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. Enrollment in Lecture, Discussion, and a Lab required.

**Offered:** Fall.

**Meets:** Natural Science: PHYS

#### PHYS 106 | College Physics II | 5 cr

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.

**Prerequisites:** PHYS 105.

**Offered:** Spring.

#### PHYS 110 | Introduction to Astronomy | 3 cr

Explores astronomy for non-scientists with limited mathematics. Introduces the celestial sphere, constellations, and planets. Investigates topics such as solar system objects, cosmic distance scale, exoplanets, stellar evolution, galactic structure, and cosmology. Three-hour lecture.

**Prerequisites:** None.

**Offered:** Occasionally.

**Meets:** Natural Science: PHYS

#### PHYS 120 | Astronomy of Native America | 3 cr

Examines the astronomical views of Native Americans and looks at how mythos, science and discrimination intersect. Evaluates current cultural conflicts between science and native groups. Draws additional examples of the cultural development of astronomy and science from the Americas, Africa, Oceania, and Asia. Cross-listed with: ETHN 120.

**Prerequisites:** None.

**Offered:** Fall, Spring.

**Meets:** Natural Science: PHYS, Ethnic Diversity

#### PHYS 150 | Physics of Music | 3 cr

An introduction to the basic physical principles underlying music and musical instruments. Not for credit towards Physics major.

**Prerequisites:** None.

**Offered:** Fall.

**Meets:** Natural Science: PHYS

#### PHYS 201 | General Physics I | 5 cr

Investigates mechanics, heat, and sound. For physical science and engineering majors. Enrollment in Three-hour lecture; one-hour discussion; three-hour lab required.

**Prerequisites:** MATH 221 with C or higher or concurrent registration.

**Offered:** Fall, Spring.

**Meets:** Natural Science: PHYS

#### PHYS 202 | General Physics II | 5 cr

Investigates electricity and magnetism, geometrical optics, and physical optics. For physical science and engineering majors. Enrollment in Three hour lecture; one-hour discussion; three-hour lab required.

**Offered:** Fall, Spring.

#### PHYS 205 | Modern Physics | 3 cr

Special relativity. Elements of quantum mechanics. Introduction to atomic, molecular, solid state, nuclear, and particle physics. Three-hour lecture.

**Prerequisites:** PHYS 202.

**Offered:** Fall.

#### PHYS 213 | Thermodynamics | 3 cr

#### PHYS 241 | Scientific Programming | 3 cr

Studies programming in MATLAB and another high-level language, such as Python, with applications to science and engineering.

**Offered:** Spring.

#### PHYS 290 | Special Topics in Physics | 1-4 cr

Special topics in physics will be examined.

**Prerequisites:** Consent of instructor.

**Offered:** Occasionally.

#### PHYS 295 | Physics Research Seminar I | 1 cr

Introduces students to branches and interdisciplinary fields of physics; experimental, theoretical, and computational. Emphasizes the breadth of applicability of physics as well as current areas of interest, through note-taking, discussions, and other resources. Leads to individual student oral presentation on physics topic of choice.

**Prerequisites:** PHYS 202 or concurrent enrollment; or consent of instructor.

**Offered:** Fall.

#### PHYS 297 | Physics Research Seminar II | 1 cr

Second research seminar course. Introduces students to branches and interdisciplinary fields of physics; experimental, theoretical, and computational. Emphasizes the breadth of applicability of physics as well as current areas of interest, through note-taking, discussions, and other resources. Leads to individual student written presentation on physics topic of choice.

**Prerequisites:** PHYS 202 or concurrent enrollment; or consent of instructor.

**Offered:** Spring.

#### PHYS 301 | Classical Mechanics | 4 cr

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.

**Prerequisites:** PHYS 201 and PHYS 202 with a grade of C or better; MATH 317, or concurrent registration or consent of instructor.

**Offered:** Fall (even years).

#### PHYS 302 | Electricity and Magnetism | 4 cr

Examines electrostatics, magnetostatics, and electromagnetic fields through Maxwell's equations with basic applications. Includes radiation, Lienard-Wiechert potentials, sources of radiation, antenna theory, scalar diffraction theory and wave optics for transparent or conductive media. Four-hour lecture.

**Prerequisites:** PHYS 201 and PHYS 202 with grades of C or better; MATH 317 or concurrent registration; or consent of instructor.

**Offered:** Spring.

#### PHYS 303 | Computational Physics | 3 cr

Introduces computational physics with applications to classical mechanics, electromagnetism, and quantum mechanics. Monte Carlo methods. Introduction to molecular dynamics. Three-hour lecture.

**Prerequisites:** PHYS 201 and PHYS 202 with a grade of C or better; PHYS 205; MATH 223, PHYS 241, or consent of instructor.

**Offered:** Spring.

#### PHYS 306 | Advanced Experiments in Physics | 3 cr

Covers advanced experiments in optics, atomic, molecular, solid state, and nuclear physics. Analog electronics through transistors and op-amps. Basic digital electronics. Six-hour lab.

**Offered:** Spring (odd years).

#### PHYS 401 | Mathematical Methods of Physics | 3 cr

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.

**Offered:** Fall (even years).

#### PHYS 403 | Thermodynamics | 3 cr

Examines laws of thermodynamics, and equations of state and state variables to describe thermodynamic systems at or near equilibrium. Covers Legendre transformations and thermodynamic potentials, Maxwell relations, and phase transformations. Investigates applications of thermodynamics such as heat engines, refrigerators, and liquefaction of gases under extreme conditions.

**Offered:** Spring.

#### PHYS 413 | Statistical Mechanics | 3 cr

Delves into classical and quantum statistical mechanics: Maxwell-Boltzmann speed distribution, partition functions, statistical ensembles, black body radiation, Debye theory of solids, Fermi and Bose gases, and the Ising model.

**Prerequisites:** PHYS 303 or consent of instructor.

**Offered:** Fall.

#### PHYS 441 | Quantum Physics | 4 cr

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, central potentials. Introduces the concept of spin and the exclusion principle, and the Dirac equation with its associated henomenology. Four-hour lecture.

**Prerequisites:** PHYS 201 and PHYS 202 with grades of C or better; PHYS 205; MATH 301 and MATH 317 or MATH 401; or consent of instructor.

**Offered:** Spring (odd years).

#### PHYS 490 | Special Topics in Physics | 1-4 cr

Examines special topics in physics.

**Offered:** Occasionally.

#### PHYS 494 | Internship in Physics | 1-3 cr

Work in a physics-related position under joint supervision of a physics faculty and a member of the sponsoring public or private organization. Consent of instructor and department chair.

**Offered:** Fall, Spring, Summer.

#### PHYS 495 | Senior Seminar | 2 cr

Provides opportunity for a directed study of a current topic in physics.

**Offered:** Fall, Spring.

#### PHYS 497 | Senior Thesis | 1-2 cr

Investigates advanced topics in physics.

**Offered:** Occasionally.

## Courses in Pre-Engineering

#### PENG 211 | Statics | 3 cr

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 of inertia. Required for the pre-engineering articulation agreement with UW-Milwaukee.

**Offered:** Spring.

#### PENG 212 | Dynamics | 3 cr

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.

**Offered:** Fall.

#### PENG 214 | Electrical Circuits I | 3 cr

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.

**Prerequisites:** PHYS 202 with a grade of C or better.

**Offered:** Fall.

#### PENG 215 | Materials Science and Engineering | 4 cr

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.

**Offered:** Fall.