Mathematics: Computer Science Emphasis

Overview

The Mathematics: Computer Science Emphasis program is designed for students who aspire to earn a graduate degree or work in computer science. This program positions students for in-demand careers by providing a strong foundation in mathematics and computer science.

Learning Outcomes

• Apply computational methods; Math majors should be able to apply computational methods and mathematical concepts to analyze scientific problems
• Apply mathematical models to current problems; Math majors should be able to critically evaluate and extend selected mathematical models in the current scientific literature.
• Create valid proofs; Students should be able to identify an appropriate proof strategy and almost always able to create a correct proof using multiple strategies as appropriate.
• Define Terms Precisely; Precision is essential in mathematics, and a crucial skill for math majors is to learn to define mathematical terms precisely.
• Effective communication of results; Math majors should be able to effectively communicate results to non-specialized audiences in written and verbal form.
• Recognize valid arguments; Logical rigor is a critical component of mathematical argumentation. We expect math majors to develop the ability to recognize when arguments are valid, and identify logical gaps and flaws.

Program Details

Sample Courses

• MATH 475A: Mathematical Principles of Numerical Analysis
• MATH 443: Theory of Graphs and Networks
• MATH 445: Introduction to Cryptography

Career Fields

• Tech startups
• Software development
• Information security
• Machine learning
• Data engineering

WUE Eligible?

Yes, at WUE Certain Locations

WUE students attending the UA pay 150% of the in-state resident tuition. Residency in a participating state is not a guarantee of admission to a WUE program. In addition to the UA admission requirements, some WUE programs at the UA have additional criteria such as higher minimum SAT/ACT test scores or high school GPAs. Some programs may also set a limit on the number of WUE students they accept each year due. Information on the WUE programs offered by the UA is available by selecting either UA Main or CAST.

Level of Math

Substantial Knowledge

This strand involves skill and facility with calculus. The S-strand begins at one of two calculus options - MATH 122A/B (Functions for Calculus and First-Semester Calculus) or MATH 125 (Calculus I). Students who successfully complete the S-strand may continue on to MATH 129 (Calculus II), MATH 223 (Vector Calculus), or beyond. Those who choose but are not ready to begin the S-strand will be required to take preparatory work.

Level of Second Language

2nd Semester Proficiency

Second-semester skill level in a second language is required. Non-B.A. degree students may fulfill this requirement with one of the following options: 1. Scoring the equivalent of second-semester skill level on an entrance or placement examination administered by The University of Arizona. 2. Completion with a C or better of a second semester course at the post-secondary level. 3. An AP (Advanced Placement), IB (International Baccalaureate) or CLEP (College Level Entrance Program) language score determined by the individual language department. 4. In the College of Engineering by a method determined within the College; however, all students in the college must also take a language placement examination on entrance to the University.

Pre-major Required?

No

This Major's College

College of Science

Degree

Bachelor of Science

Sample Plans

2025, Mathematics: Computer Science Emphasis

• 4-Year Sample Plan
• Map Transfer Coursework
• Plan Ahead with a Transfer Pathway

First Year

• 1st Semester
  • MATH 122A Functions for Calculus
  • MATH 122B First-Semester Calculus
  • ENGL 101 - First Year Writing 1 (GE Foundation Composition)
  • GE Core: Exploring Perspectives or Building Connections
  • GE Foundation Second Language (First Semester)
  • Introduction to the General Education Experience (Entry Course)
• 2nd Semester
  • MATH 129 Calculus II
  • Supporting Computer Science ex. CSC 110 Intro to Computer Programming I
  • ENGL 102 - First Year Writing 2 (GE Foundation Composition)
  • GE Core: Exploring Perspectives or Building Connections
  • GE Foundation Second Language (Second Semester)

Second Year

• 3rd Semester
  • MATH 223 Vector Calculus
  • MATH 313 Intro to Linear Algebra
  • Supporting Laboratory Science
  • GE Core: Exploring Perspectives or Building Connections
  • General Elective
• 4th Semester
  • MATH 323 Formal Math Reasong + Wrtg
  • MATH 396L - required with MATH 323 in some cases
  • MATH 355 Anls Ord Diff Equations
  • Supporting Laboratory Science
  • GE Core: Exploring Perspectives or Building Connections

Third Year

• 5th Semester
  • Computer Science Mathematics Emphasis Elective ex. MATH 443 Theory of Graphs and Networks
  • Minor course
  • GE Core: Exploring Perspectives or Building Connections
  • General Elective
  • General Elective
• 6th Semester
  • Computer Science Emphasis Linear Algebra Course ex. MATH 413 Linear Algebra
  • Minor course
  • Minor course
  • GE Core: Exploring Perspectives or Building Connections
  • General Elective
  • General Education Portfolio (Exit Course)

Fourth Year

• 7th Semester
  • Computer Science Emphasis Sequence Course ex. MATH 475A Math. Princ. of Numerical Analysis
  • Minor course
  • Minor course
  • Mathematics Application Course
• 8th Semester
  • Computer Science Emphasis Sequence Course ex. MATH 485 Mathematical Modeling
  • Computer Science Mathematics Emphasis Elective ex. MATH 445 Cryptography
  • Minor course
  • General Elective

University of Arizona

---

Overview:

The University of Arizona, located in Tucson, Arizona, is the state's land-grant institution and its first university. It is known for its world-changing research and discovery, with a focus on innovation and impact. The university boasts a diverse student body and offers a wide range of academic programs across various disciplines.

---

Services Offered:

The University of Arizona provides a comprehensive range of services to its students, including:

Academic Resources:

Libraries, class registration, academic advising, and international engagement opportunities.

Student Life:

Housing, dining, student clubs and organizations, athletics, and campus amenities.

Financial Aid:

Scholarships and financial aid for undergraduate and graduate students.

Research Opportunities:

Hands-on research experiences for students across various fields.

Campus Safety:

Emergency information, Title IX resources, and annual security reports.

Accessibility:

Resources and support for students with disabilities.

---

Student Life and Campus Experience:

Students at the University of Arizona can expect a vibrant and engaging campus experience. The university fosters a strong sense of community through its numerous student clubs and organizations, athletic events, and traditions. The campus is located in Tucson, a city known for its rich culture, diverse cuisine, and proximity to the Sonoran Desert.

---

Key Reasons to Study There:

World-Class Research:

The University of Arizona is a top-ranking research institution with a strong focus on innovation and discovery.

Diverse Academic Programs:

Students can choose from over 150 majors and programs of study across 21 colleges and schools.

Engaging Campus Life:

The university offers a vibrant student life with numerous clubs, organizations, and athletic events.

Tucson Location:

The campus is located in a vibrant city with a rich culture and diverse amenities.

Strong Alumni Network:

The University of Arizona has a large and active alumni network that provides support and opportunities for graduates.

---

Academic Programs:

The University of Arizona offers a wide range of academic programs, including:

Undergraduate Majors:

Over 150 majors across various disciplines, including business, engineering, science, humanities, and the arts.

Graduate Programs:

A variety of graduate programs, including master's and doctoral degrees.

Professional Education & Certification:

Programs for professional development and certification in various fields.

---

Other:

The University of Arizona is committed to diversity and inclusion, and it strives to build sustainable relationships with Native Nations and Indigenous communities. The university also has a strong focus on sustainability and environmental responsibility.