Mathematics and Physical Sciences
The College of Idaho Mathematics and Physical Sciences Department provides an engaging and pragmatic curriculum that fosters student understanding of the nature and structure of mathematics and physical sciences, and encourages exploration of computational methods and mathematical applications.The study of mathematics or the physical sciences requires a combination of creative thinking, detailed analysis, and organized problemsolving skills. At The College of Idaho we provide the opportunity to expand and develop these skills as you acquire a broad range of mathematical and scientific knowledge.
Why study Mathematics, Computer Science and Physical Sciences at The College of Idaho?
Our department provides an engaging and pragmatic curriculum that fosters student understanding of the nature and structure of mathematics and physical sciences, and encourages exploration of computational methods and mathematical applications. Our professors are dedicated to helping students develop critical thinking skills that are necessary for understand a rapidly changing and technologically driven world.
The College offers majors in mathematics, mathematicscomputer science, and mathematicsphysics which include core coursework incorporating programming, problemsolving, abstract analysis and applications, and additional upperdivision courses in mathematics, physics, or computer science. Minors are offered in mathematics, physics, and computer science in the natural sciences. A dualdegree engineering minor provides tracks in biological systems engineering, chemical engineering, civil engineering, computer engineering, computer science, electrical engineering, environmental engineering, and mechanical engineering.
Career Opportunities for C of I Mathematics and Physical Science Students
An understanding of mathematics and the nature of matter and energy, along with the ability to think critically and solve problems, is essential to many careers. Our graduates have pursued successful careers in a wide variety of fields including business, computer programming, economics, education, engineering, finance, law, and medicine.
Majors
The Mathematics and Physical Sciences Core encourages all majors and minors in our Department to experience similar theoretical, analytical, and algorithmic viewpoints. This collection of courses incorporates programming, problem solving, abstract analysis, and applications.
Course  Course Title  Credits 

MAJOR REQUIREMENTS 

Core Requirements  
CSC150 
Computer Science I 
4 
MAT150 
Applied Calculus 
4 
MAT175 
Single Variable Calculus 
4 
MAT275 
Multivariable Calculus III 
4 
Complete 1 course from the following: 

PHY230 
Digital Electronics and Laboratory 
4 
PHY240 
Electronics and Laboratory 
4 
PHY271 
Analytical Physics and Laboratory 
5 
Additional Requirements  
MAT494 
Independent Study 
13 
MAT ELEC 
Mathematics Upper Division (300level or above) Coursework 
18 
Elective upper division courses must include at least two of the following courses: 

MAT431 
Complex Variables 
3 
MAT441 
Topology 
3 
MAT451 
Real Analysis 
3 
MAT461 
Algebraic Structures 
3 
Notes 

Students interested in graduate work in mathematics are strongly encouraged to take the following courses: MAT451 Real Analysis MAT461 Algebraic Structures 
The MathematicsComputer Science major is designed to prepare students for a broad variety of careers and for graduate study. Work in computer science includes software development and design, research in solving problems in computing (including data storage, networking, retrieval, organization, validation, and so on), and research into new ways of using computing devices (computer vision, robotics, machine learning, accessibility studies, etc.). Computer science is one of the most rapidly expanding and changing fields of scientific inquiry. Preparation for work in this field is thus inherently interdisciplinary, requiring a strong mathematical background. Majors also complete coursework in effective communication. The problemsolving capabilities acquired in the MathematicsComputer Science major are of wide utility in many fields of study and careers not directly connected to computer science. Computer Science majors gain familiarity with concepts and technologies that have become an integral part of virtually every profession. Just as organizational, interpersonal, and communication skills have become a requisite part of most successful employment, the capacity to understand, operate, and manipulate computational tools will soon be a professional necessity in all areas of industry and academia. The MathematicsComputer Science major fulfills the Professional Studies PEAK as well as the Natural Sciences & Mathematics PEAK.
Course  Course Title  Credits 

MAJOR REQUIREMENTS 

CSC150 
Computer Science I 
4 
CSC152 
Computer Science II 
4 
CSC160 
Introduction to Computer Architecture 
3 
CSC235 
Programming Languages 
3 
CSC270 
Applied Databases 
3 
CSC340 
Design and Analysis of Algorithms 
3 
CSC350 
Formal Languages and Automata 
3 
CSC440 or 
Operating Systems or 
3 
CSC480 
Software Engineering and Senior Design I 
2 
CSC481 
Software Engineering and Senior Design II 
1 
CSC482 
Software Engineering and Senior Design III 
3 
MAT150 or 
Applied Calculus or 
4 
MAT280 or 
Introduction to Proof: Number Theory or 
1 
MAT252 
Discrete Mathematics 
3 
MAT361 
Linear Algebra 
3 
PHY230 
Digital Electronics and Laboratory 
4 
SPE101 
Basic Public Speaking 
3 
Notes 

MathematicsComputer Science majors may not minor in either Computer Studies (Natural Sciences and Mathematics PEAK) or Computer Science (Professional Studies and Enhancements PEAK). 
The Mathematics and Physical Sciences Core encourages all majors and minors in our Department to experience similar theoretical, analytical, and algorithmic viewpoints. This collection of courses incorporates programming, problem solving, abstract analysis, and applications.
Course  Course Title  Credits 

MAJOR REQUIREMENTS 

Core Requirements  
CSC150 
Computer Science I 
4 
MAT275 
Multivariable Calculus 
4 
Complete the following: 

PHY271 
Analytical Physics I and Laboratory 
5 
PHY272 
Analytical Physics II and Laboratory 
5 
Additional Requirements  
PHY494 
Independent Study 
13 
MAT/PHY ELEC 
Mathematics or Physics upperdivision (300level or above) coursework (MAT or PHY) 
18 
Elective upper division courses must include at least two of the following courses: 

PHY301 
Theoretical Mechanics 
3 
PHY313 
Thermal Physics 
3 
PHY330 
Electricity and Magnetism 
3 
PHY400 
Quantum Physics 
23 
Notes 

Students interested in graduate work in physics are strongly encouraged to take the following courses: PHY240/240L Analog Electronics and Laboratory MAT431 Complex Variables PHY All UpperDivision (300/400 level) Physics Courses 
Minors
The Applied Mathematics minor is designed to build fundamental quantitative and problemsolving skills in mathematics and the allied fields of computer science and statistics. There is a strong emphasis on applications to mathematical modeling and the collection, management, and use of data. Applied Mathematics minors also gain experience in the laboratory and an appreciation of the role of mathematics and information in society.
All of the courses in the minor are offered every year, and most of them every semester, with the exception of CSC270. Students wishing to take this course to fulfill the requirements should plan accordingly. Students may need to take MAT125 Data Analysis and Statistics in preparation for MAT150 Applied Calculus.
Course  Course Title  Credits 

MINOR REQUIREMENTS 

CSC150 
Computer Science I 
4 
Complete 1 course from the following: 

MAT150 
Applied Calculus 
4 
MAT175 
Single Variable Calculus 
4 
MAT275 
Multivariable Calculus 
4 
Complete 1 course from the following: 

CSC270 
Applied Databases 
3 
MAT212 
Advanced Statistical Methods 
3 
Complete one approved laboratory course from one of the following sciences: 
35 

BIO 
Biology 

CHE 
Chemistry 

GOL 
Geology 

PHY 
Physics 

ENV 
Environmental Studies 

Notes 

Approved laboratory courses include BIO201, BIO202, BIO210, CHE141, CHE142, ENV160, GOG101, PHY231, PHY232, PHY271, and PHY272. 
Computer science is one of the most rapidly changing and most highly interdisciplinary fields of academic inquiry. Because the ideas and techniques of information theory underlie large parts of the workings of modern society, computer science is very effective when paired with other studies. Conceptual developments pioneered by computer scientists have assisted researchers in areas as diverse as biology, sociology, music, and literary analysis. The Computer Science minor both develops and enhances students' analytical and problemsolving capabilities and prepares them to apply informationtheoretical ideas and sensibility in their chosen careers.
Course  Course Title  Credits 

MINOR REQUIREMENTS 

MAT150 or 
Applied Calculus 
4 
MAT252 
Discrete Mathematics 
3 
CSC150 
Computer Science I 
4 
CSC152 
Computer Science II 
4 
CSC160 
Introduction to Computer Architecture 
3 
CSC270 
Applied Databases 
3 
CSC235 or 
Programming Languages or 
3 
Notes 

Students may elect to minor in Computer Studies (Natural Sciences and Mathematics PEAK) or in Computer Science (Professional Studies and Enhancements PEAK), but not both. MathematicsComputer Science majors may not minor in either Computer Studies or Computer Science. 
The study of computing requires a creative imagination and develops analytical and problemsolving skills that are applicable in a wide range of academic and professional careers. The Computer Studies minor provides students with the academic background necessary to understand the applications of computing and information theory in solving scientific problems, both every day and professional. It also builds familiarity with concepts and technologies of computer science that have become an integral part of virtually every profession. In keeping with the interdisciplinary spirit of the field, minors in Computer Studies complete coursework in the natural sciences and mathematics. Students should recognize that an ability to acquire and use mathematical tools is an assumed part of this minor.
The Computer Studies minor is an excellent complement to majors not always thought of as allied to computer science such as political economy, business, or psychology, since these are increasingly concerned with very large sets of data.
Course  Course Title  Credits 

MINOR REQUIREMENTS 

MAT150 or 
Applied Calculus 
4 
CSC150 
Computer Science I 
4 
CSC152 
Computer Science II 
4 
CSC270 
Applied Databases 
3 
Complete 35 credits from the following: 

BIO102 
Biology of Human Disease and Laboratory 
4 
BIO201 or 
Molecules to Cells and Laboratory or 
4 
BIO202 
Organismal Biology and Laboratory 
4 
CHE124 
Forensic Science and Laboratory 
3 
CHE141 
General Chemistry I and Laboratory 
4 
CHE142 
General Chemistry II and Laboratory 
4 
ENV160 
Environmental Science and Laboratory 
4 
PHY230 
Digital Electronics 
3 
PHY231 
General Physics I and Laboratory 
4 
PHY232 
General Physics II and Laboratory 
4 
PHY271 
Analytical Physics I and Laboratory 
5 
PHY272 
Analytical Physics II and Laboratory 
5 
Notes 

Students who wish to enhance their understanding of the foundations of computer science or to prepare for careers more closely related to the field should consider the following additional courses: CSC340 Design and Analysis of Algorithms MAT212 Advanced Statistical Methods MAT252 Discrete Mathematics MAT361 Linear Algebra 
Engineering gives students the opportunity to be simultaneously creative and practical. They can combine the principles learned in science and mathematics with the methods and techniques of engineering to develop theory, models, and applications. The DualDegree Engineering Minor is meant to develop a foundation preparing the student for further study and a career in engineering.
Engineering schools require that many general science and mathematics courses be completed at The College of Idaho before a student transfers under the dualdegree engineering program. Therefore it is recommended that students complete a mathematics or mathematicsphysics major if interested in the dualdegree engineering minor. (Note: Choosing a major other than mathematics or mathematicsphysics will likely result in the student spending four years at The College of Idaho to complete their major. Upperlevel coursework from the engineering institution will transfer back to The College of Idaho to fulfill the mathematics or mathematicsphysics major requirements. (Please see the dualdegree engineering requirements for affiliated institutions.) Students can fulfill two PEAKS upon completion of this minor: Natural Sciences and Mathematics and Professional Studies.
Course  Course Title  Credits 

MINOR REQUIREMENTS 

MAT/PHY 
Mathematics and/or Physics UpperDivision (300 or 400level) Courses 
9 
Acceptance to an approved engineering program 

The following courses are required for most fields of engineering and most computer science programs: 

CHE141 
General Chemistry I & Laboratory 
4 
MAT150 
Applied Calculus 
4 
MAT175 
Single Variable Calculus 
4 
MAT275 
Multivariable Calculus 
4 
PHY170 
Engineering Analysis 
2 
PHY271 
Analytical Physics I & Laboratory 
5 
PHY272 
Analytical Physics II & Laboratory 
5 
Additional Humanities electives as specified by the partner dualdegree institution. 

Notes 

*The required courses specific to the DualDegree Engineering Minor depend upon the engineering field and the engineering institution. Every student completing this Minor should closely consult with a dualdegree engineering advisor to choose appropriate College of Idaho courses. 
Course  Course Title  Credits 

PREREQUISITES 

MAT175 or 
Single Variable Calculus or 
4 
Complete 1 course from the following: 

MAT280 
Intro to Proof: Number Theory 
1 
MAT281 
Intro to Proof: Combinatorics 
1 
MAT282 
Intro to Proof: Sets & Functions 
1 
MAT283 
Intro to Proof: Logic 
1 
MINOR REQUIREMENTS: 

Complete 18 MAT credits (including the prerequisites)**: 

MAT 
6 credits of the 18 must be 300level or above  18 
Complete 3 credits from 1 of the following sciences: 

BIO 
Biology 
3 
CHE 
Chemistry 
3 
GOL 
Geology 
3 
PHY 
Physics 
3 
Students who wish to satisfy the requirements for a second teaching field in Secondary Education must complete 20 credits of mathematics (MAT) courses including the following courses: 

MAT125 or 
Data Analysis & Statistics or 
3 
MAT252 
Discrete Mathematics 
3 
MAT311 
Probability 
3 
MAT361 
Linear Algebra 
3 
MAT370 
Geometry 
3 
Notes 

*Depending on Math placement, students may be required to take MAT150 Applied Calculus prior to taking MAT175. *4 credits of Computer Science (CSC) may be substituted for a lowerlevel MAT course. 
The Physical Sciences minor is designed for students desiring to better understand the physical sciences but who do not plan on pursuing a career in the sciences.
Course  Course Title  Credits 

MINOR REQUIREMENTS 

MAT150 or higher 
Applied Calculus or a higherlevel math course 
4 
Complete 2 courses from the following: 

CHE141 
General Chemistry I and Laboratory 
4 
CHE142 
General Chemistry II and Laboratory 
4 
PHY231 or 
General Physics I and Laboratory or 
4 
PHY232 or 
General Physics II and Laboratory or 
4 
And complete at least 3 additional credits in PHY, CHE, GOL or GOG 
The fundamental nature of physics makes an understanding of its principles, techniques and limitations important in the acquisition and extension of knowledge in all the sciences. In addition, it has historical connections to metaphysics and natural philosophy, which makes it an integral part of a balanced liberal arts curriculum. Physics minors should recognize and gracefully accept that an ability to acquire and use mathematical tools is an assumed part of their minors.
Course  Course Title  Credits 

PREREQUISITES 

MAT175 
Single Variable Calculus 
4 
MAT275 
Multivariable Calculus 
4 
MAT352 
Differential Equations 
3 
MINOR REQUIREMENTS 

PHY271 
Analytical Physics I & Laboratory 
5 
PHY272 
Analytical Physics II & Laboratory 
5 
Complete 9 credits from the following: 

PHY 
Physics UpperDivision (300 or 400level) Courses 
6 
PHY 
Physics Coursework  any level 
3 
Notes 

Completing this minor and 1 additional credit in physics satisfies the state requirements for the secondary education secondteaching field in physics. 