Michael Fahy, Ph.D., Associate Dean
Professors: Aharonov, Fahy, Jipsen, Moshier, Ortiz–Franco, Porter, Radenski, Rassenti, Struppa, Tollaksen, Verkhivker, Yang;
Associate Professors: Allali, Vajiac, A., Vajiac, M., Zhao;
Assistant Professors: Buniy, Linstead, MacPherson, Nayeri, Nistor, Prytkova, Rakovski, Toto;
Instructor: Goetz.
Bachelor of Science in Computer Information Systems
Bachelor of Science in Computer Science
Bachelor of Science in Mathematics
Bachelor of Science in Software Engineering
Bachelor of Science in Physics and Computational Science
The School of Computational Sciences encompasses the study of disciplines that span the entire development of our civilization from the earliest and most fundamental to the newest and most exciting. The School of Computational Sciences provides a cornerstone of the liberal arts at Chapman, including subjects such as geometry and astronomy that formed the core of the classical liberal arts and provides the ideas and techniques to add the critical computational component to all of the sciences.
From financial analysis to space exploration, from civil engineering to the World Wide Web, applications of mathematics, physics and computing are crucial to nearly every modern human endeavor. As the disciplines of mathematics, physics and computing are among humankind's deepest, most fundamental and most universal. Their wide applications are, in a way, not surprising. Furthermore, these fields continue to develop and to be vital to the world's culture and economy. The School of Computational Sciences strives to present the greatest and most useful ideas of mathematics, physics and computing in the context of preparing students for careers as varied as research, software engineering, remote sensing, integrated circuit design, bioinformatics and information management. The common theme of all is an interest in great ideas (old and new) put to contemporary uses.
The School of Computational Sciences at Chapman University offers a Bachelor of Science degree in Mathematics, in Computer Science, in Computer Information Systems, in Physics and Computational Science and in Software Engineering. The school offers a Minor in Mathematics, in Computer Science, in Computational Science, in Physics and in Game Development Programming. The school also offers a joint degree program with the University of California, Irvine, in Mathematics and Civil Engineering.
Students pursuing any degree in the school must maintain a 2.000 "C" grade point average in the major. All courses in the major must be taken for a letter grade.
Students majoring in mathematics, computer science, computer information systems, physics and computational science or software engineering who wish to pursue a double major or a minor in another area in the school may count required credits toward both, but distinct elective credits are required for each area. Students must also meet other university requirements.
School Honors
Students graduating with a B.S. in Computer Information Systems, B.S. in Computer Science, B.S. in Mathematics, B.S. in Physics and Computational Science or B.S. in Software Engineering will earn school honors at graduation by meeting the following criteria. Students must have a cumulative GPA of a 3.500 or higher and must have completed independent research. Completion of independent research includes the submission of a scientific manuscript to the computer science, mathematics, software engineering or physics and computational science faculty, oral presentation to the faculty, poster presentation at the Schmid College Student Research Day and a vote by the appropriate faculty group that the research, paper and presentations were of sufficient quality to merit honors.
lower–division requirements (27 credits)
Single Variable Calculus I/Single Variable Calculus I Lab 
3 

Principles of Microeconomics 
3 

Principles of Macroeconomics 
3 

Introduction to Statistics 
3 

Introduction to Financial Accounting 
3 

Introduction to Managerial Accounting 
3 

Computer Science I 
3 

Computer Science II 
3 

Visual Programming 
3 
upper–division requirements (27 credits)
Management of Organizations 
3 

Business and Professional Ethics 
3 

Financial Management 
3 

Software Design 
3 

Software Engineering I 
3 

Production and Operations Management 
3 

Data Structures and Algorithms 
3 

Data Communications and Computer Networks 
3 

Database Management 
3 
electives (9 credits)
Three upper–division courses in computer science or software engineering 
9 
total credits 

63 
Program Learning Outcomes and Educational Effectiveness Evaluation Plans for B.S. in Computer Information Systems.
lower–division core requirements (27 credits)
Single Variable Calculus I/Single Variable Calculus I Lab 
3 

Single Variable Calculus II/Single Variable Calculus II Lab 
3 

Multivariable Calculus 
3 

Linear Algebra 
3 

Computer Science I 
3 

Computer Science II 
3 

Visual Programming 
3 

Computer Systems and Assembly Language Programming 
3 

Discrete Mathematics I 
3 
general science requirement (8 credits)
A two–semester sequence of laboratory natural science courses 
8 
One of these courses may be used to satisfy the natural science inquiry General Education Requirement. 

upper–division requirements (25 credits)
Digital Logic Design I/Lab–Digital Logic Design I 
3,1 

Data Structures and Algorithms 
3 

Computer Architecture I 
3 

Data Communications and Computer Networks 
3 

Programming Languages 
3 

Operating Systems 
3 

Compiler Construction 
3 

Database Management 
3 
electives (12 credits)
Students, in consultation with and approval of the computer science advising committee, will design individual elective programs to suit their academic goals. Electives may be satisfied by any of the following courses, at least three of which must be upper–division courses: 
Discrete Mathematics II 
3 

Social Issues in Computing 
3 

Software Requirements and Testing 
3 

Software Design 
3 

Software Engineering I 
3 

Computer Architecture II 
3 

Human Computer Interaction 
3 

Computer Graphics 
3 

Digital Logic Design II 
3 

Topics in Computer Science 
3 

Artificial Intelligence 
3 

Algorithm Analysis 
3 

Computational Economics 
3 

High Performance Computing 
3 

Network Implementation and Security 
3 

Integrated Circuit Design I 
3 

Integrated Circuit Design II 
3 

Independent Internship 
1–6 

Senior Project 
3 

Individual Study 
3 


Any upper–division mathematics course 

For students interested in embedded systems (ES) and those interested in graduate studies in ES, the department strongly recommends the following courses: MATH 251, CPSC 366, CPSC 465, CPSC 466, CPSC 498. 
total credits 

72 
Program Learning Outcomes and Educational Effectiveness Plans for B.S. in Computer Science.
requirements (39 credits)
Single Variable Calculus I/Single Variable Calculus I Lab 
3 

Single Variable Calculus II/Single Variable Calculus II Lab 
3 

Multivariable Calculus 
3 

Linear Algebra 
3 

Computer Science I 
3 

Computer Science II 
3 

Discrete Mathematics I 
3 

Differential Equations 
3 

Probability Theory 
3 

Introduction to Abstract Algebra 
3 

Real Analysis 
3 

Complex Analysis or 
3 

Numerical Analysis 


Modern Algebra 
3 
general science requirement (8 credits)
A two–semester sequence of laboratory natural science courses 
8 
One of these courses may be used to satisfy the natural science inquiry General Education Requirement. 

electives (12 credits)
Students, in consultation with and approval from the mathematics advising committee, will design individual elective programs to suit their academic goals. Mathematics electives may be satisfied by any of the following courses, at least four of which must be upper–division courses: 
Foundations of Geometry 
3 

Discrete Mathematics II 
3 

Number Theory 
3 

Computational Mathematics Tools 
3 

Mathematical Statistics 
3 

Special Topics in Mathematics 
3 

Introduction to Differential Geometry 
3 

Topology 
3 

Complex Analysis 
3 

Numerical Analysis 
3 

Economic Systems Design I: Principles and Experiments 
3 

Independent Internship 
1–6 

Individual Study 
1–6 


Any upper–division computer science course. 

For students interested in pure mathematics, especially those interested in pursuing a graduate degree, the school strongly recommends the following courses: MATH 260, MATH 440 and MATH 451. 
For students interested in careers or further study in applied mathematics or computational science, the school strongly recommends the following courses: MATH 251, MATH 361, MATH 451 and MATH 454. 
For students preparing to become mathematics teachers, the school strongly recommends the following courses: MATH 208, MATH 260 and MATH 280. 
total credits 

59 
Program Learning Outcomes and Educational Effectiveness Evaluation Plans for B.S. in Mathematics.
lower–division requirements (27 credits)
Single Variable Calculus I/Single Variable Calculus I Lab 
3 

Single Variable Calculus II/Single Variable Calculus II Lab 
3 

Introduction to Statistics 
3 

Linear Algebra 
3 

Computer Science I 
3 

Computer Science II 
3 

Visual Programming 
3 

Discrete Mathematics I 
3 

Social Issues in Computing 
3 
upper–division requirements (33 credits)
Software Requirements and Testing 
3 

ENG 303 
Technical Writing 
3 
Software Design 
3 

Software Engineering I 
3 

Software Engineering II 
3 

Data Structures and Algorithms 
3 

Programming Languages 
3 

Human Computer Interaction 
3 

Operating Systems 
3 

Database Management 
3 

Software Engineering Capstone Project 
3 
seminar requirement (1 credit)
Software Engineering Seminar 
1 
electives (9 credits)
Students, in consultation with and approval from the software engineering advising committee, will design individual elective programs to suit their academic goals. Software engineering electives may be satisfied by any of the following courses: 
Group Communication 
3 

Digital Logic Design I/Lab–Digital Logic Design I 
3,1 

Computer Architecture I 
3 

Artificial Intelligence 
3 

Compiler Construction 
3 

Algorithm Analysis 
3 

Software Process and Management 
3 

Formal Methods in Software Engineering 
3 
The school strongly recommends the following general education course for natural science inquiry: PHYS 101 and for social Inquiry: ECON 200. 
total credits 

70 
lower–division requirements (39 credits)
General Physics I/Lab–General Physics I 
3,1 

General Physics II/Lab–General Physics II 
3,1 

Single Variable Calculus I/Single Variable Calculus I Lab 
3 

Single Variable Calculus II/Single Variable Calculus II Lab 
3 

Multivariable Calculus 
3 

Linear Algebra 
3 

General Physics III/General Physics III Lab 
3,1 

Modern Physics 
3 

Foundations of Scientific Computation or 
3 

Computational Mathematics Tools 


Computer Science I 
3 

Computer Science II 
3 

Mathematical Methods in Physics 
3 
*By petition PHYS 107/107L General Physics for the Life Sciences I/Lab and PHYS 108/108L General Physics for the Life Sciences II/Lab may be substituted for PHYS 101/101L and PHYS 102/102L. 
upper–division requirements (21 credits)
Mechanics I 
3 

Differential Equations 
3 

Seminar in Multidisciplinary Perspectives 
3 

Electricity and Magnetism I 
3 

Thermodynamics 
3 

Quantum Mechanics 
3 

Senior Capstone Research and Seminar 
3 
upper–division electives (6–7 credits)
two of the following
Mechanics II 
3 

Astronomy and Cosmology 
3 

Digital Logic Design I/Lab–Digital Logic Design I 
3,1 

Data Structures and Algorithms 
3 

Probability Theory 
3 

Special Topics in Physics 
3 

Introduction to Differential Geometry 
3 

Electricity and Magnetism II 
3 

Statistical Physics 
3 

Quantum Mechanics II 
3 

Individual Study 
3 

PHYS 520 
Physical Principles of Remote Sensing 
3 
total credits 

66–67 
Program Learning Outcomes and Educational Effectiveness Evaluation Plans for B.S. in Physics and Computational Science.
The Chapman University/University of California, Irvine joint degree program in Mathematics and Civil Engineering combines the strengths of a top tier comprehensive university, nationally recognized for its commitment to excellence through research and innovative teaching, with those of a major research institution in a carefully designed dual bachelor's degree program.
Students will complete their first three years of study in the personalized academic environment at Chapman and their last two years at UCI's Henry Samueli School of Engineering with the facilities and distinguished faculty of that renowned engineering program. While at Chapman students will major in mathematics. The mathematics majors will complete UCI's civil engineering program.
Students will receive two degrees: B.S. in Mathematics and B.S. in Civil Engineering.
Chapman students need to complete the first three years of the appropriate program of study with an overall GPA of 3.000 or higher to participate in the joint degree program for admission to UCI. See the core curriculum requirements for mathematics/civil engineering. At the completion of the five–year program, graduates will receive two bachelor's degrees, one from each university.
Chapman students must apply for admission to UCI in November prior to the fall quarter they will be full–time students at UCI. Before enrolling in their first course at UCI, students need to meet with a UCI advisor.
Some courses need to be completed during summer session at Chapman, UCI or through UCI's University Extension (UNEX) program (see course requirements). Chapman students must meet university of california residence requirements to be classified as a resident for fee tuition purposes.
Students should adhere to the program of core and general education courses as outlined in the course requirements. The general education program needs to be equivalent to an IGETC program. In addition, students will be required to complete UCI's upper–division writing requirement after matriculation to UCI.
major requirements
(To be completed in addition to appropriate basic subjects, general education and common requirements. See appropriate section of the undergraduate catalog for specifics.)
mathematics (Chapman)
General Physics I/Lab–General Physics I 
3,1 

General Physics II/Lab–General Physics II 
3,1 

Single Variable Calculus I/Single Variable Calculus I Lab 
3 

Single Variable Calculus II/Single Variable Calculus II Lab 
3 

General Chemistry I/General Chemistry I Laboratory 
3,1 

General Chemistry II/General Chemistry II Laboratory (recommended) 
3,1 

Principles of Microeconomics 
3 

Multivariable Calculus 
3 

Linear Algebra 
3 

Computer Science I 
3 

Computer Science II 
3 

Discrete Mathematics I 
3 

Computational Mathematics Tools 
3 

Differential Equations 
3 

Probability Theory 
3 
Eight courses in math/computer science electives 
24 
three courses taken during summer session at UCI (11 credits)
ENGR CEE 30 
Statics 
4 
ENGR CEE 80 
Dynamics 
4 
ENGR CEE 81A 
CAD 
3 
See University of California, Irvine catalog for the fourth and fifth year classes in engineering.
A minimum of nine credits must be upper–division.
lower–division requirements (18 credits)
Single Variable Calculus I/Single Variable Calculus I Lab 
3 

Single Variable Calculus II/Single Variable Calculus II Lab 
3 

Multivariable Calculus 
3 

Linear Algebra 
3 

Computer Science I 
3 

Computer Science II 
3 
upper–division electives (9 credits)
Introduction to Bioinformatics 
3 

Data Structures and Algorithms 
3 

Differential Equations 
3 

Probability Theory 
3 

Mathematical Statistics 
3 

Database Management 
3 

Numerical Analysis 
3 
total credits 

27 
A minimum of nine credits must be upper–division.
lower–division requirements (15 credits)
Computer Science I 
3 

Computer Science II 
3 

Visual Programming 
3 

Computer Systems and Assembly Language Programming 
3 

Discrete Mathematics I 
3 
electives (9 credits)
three of the following
Software Design 
3 

Software Engineering I 
3 

Digital Logic Design I/ Lab–Digital Logic Design I 
3,1 

Data Structures and Algorithms 
3 

Computer Architecture I 
3 

Data Communications and Computer Networks 
3 

Programming Languages 
3 

Human Computer Interaction 
3 

Computer Graphics 
3 

Topics in Computer Science 
3 

Operating Systems 
3 

Artificial Intelligence 
3 

Compiler Construction 
3 

Algorithm Analysis 
3 

Database Management 
3 

Computational Economics 
3 

High Performance Computing 
3 

Network Implementation and Security 
3 
total credits 

24 
A minimum of nine credits must be upper–division.
lower–division requirements (12 credits)
Computer Science I 
3 

Visual Programming 
3 

Introduction to the Game Industry 
3 

Level Design I 
3 
upper–division requirements (6 credits)
Game Development 
3 

Collaborative Game Development 
3 
electives (6–7 credits)
two of the following, at least one of which must be upper–division.
General Physics I/Lab–General Physics I 
3,1 

3–D Computer Graphics I 
3 

Mechanics of Motion 
3 

2–D Computer Graphics 
3 

Storytelling in Digital Arts 
3 

Social Issues in Computing 
3 

3–D Computer Graphics II 
3 

Digital Illustration 
3 

Level Design II 
3 

Production and Operations Management 
3 

Data Communication and Computer Networks 
3 

Computer Graphics 
3 

Artificial Intelligence 
3 
total credits 

24–25 
A minimum of nine credits must be upper–division.
requirements (18 credits)
Single Variable Calculus I/Single Variable Calculus I Lab 
3 

Single Variable Calculus II/Single Variable Calculus II Lab 
3 

Multivariable Calculus 
3 

Linear Algebra 
3 

Discrete Mathematics I 
3 

Differential Equations 
3 
electives (9 credits)
three of the following, at least two of which must be upper–division.
Foundations of Geometry 
3 

Discrete Mathematics II 
3 

Number Theory 
3 

Computational Mathematics Tools 
3 

Probability Theory 
3 

Mathematical Statistics 
3 

Special Topics in Mathematics 
3 

Introduction to Abstract Algebra 
3 

Introduction to Differential Geometry 
3 

Topology 
3 

Real Analysis 
3 

Complex Analysis 
3 

Numerical Analysis 
3 

Modern Algebra 
3 

Economic Systems Design I: Principles and Experiments 
3 
total credits 

27 
A minimum of nine credits must be upper–division
requirements (18 credits)
General Physics I/Lab–General Physics I 
3,1 

General Physics II/Lab–General Physics II 
3,1 

General Physics III/General Physics III Lab 
3,1 

Modern Physics 
3 

Mathematical Methods in Physics 
3 
*By petition.PHYS 107/107L and PHYS 108/108L may be substituted for PHYS 101/101L and PHYS 102/102L. 
three of the following (9–10 credits)
Mechanics I 
3 

Mechanics II 
3 

Astronomy and Cosmology 
3 

Digital Logic Design I/Lab–Digital Logic Design I 
3,1 

Special Topics in Physics 
3 

Electricity and Magnetism I 
3 

Electricity and Magnetism II 
3 

Thermodynamics 
3 

Statistical Physics 
3 

Quantum Mechanics 
3 

Quantum Mechanics II 
3 
total credits 

27–28 