StudyQA — Bachelor: Pure Mathematics Concentration — California State University (Page 189)

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Description Contents Requirements

The Bachelor of Science in Pure Mathematics with a Concentration offers students a rigorous and comprehensive education in the fundamental principles of mathematics. This program is designed for students who have a strong interest in theoretical mathematics and who aspire to pursue careers in research, academia, or fields that require advanced mathematical skills. The curriculum emphasizes core areas such as algebra, calculus, differential equations, real and complex analysis, and topology, providing students with a solid foundation in mathematical reasoning and problem-solving techniques. Throughout the program, students engage in both theoretical exploration and practical applications, developing critical thinking skills necessary for analyzing complex mathematical concepts. In addition to the standard mathematics courses, students have opportunities to participate in research projects, internships, and seminars that enhance their understanding and prepare them for graduate studies or professional careers. The program also emphasizes the importance of mathematical proof, logical structure, and abstract thinking, encouraging students to develop a deep understanding of mathematical language and symbol systems. Students are encouraged to explore interdisciplinary connections, applying mathematical theories to real-world problems in science, engineering, and technology. Dedicated faculty members with expertise in various mathematical disciplines mentor students and facilitate an engaging academic environment. Graduates of this program are well-prepared to pursue advanced degrees in mathematics or related fields or to enter technical roles requiring high-level quantitative and analytical skills. The Bachelor of Science in Pure Mathematics with a Concentration aims to cultivate a passion for mathematics, develop rigorous analytical skills, and prepare students for successful careers in academia, industry, or further research.

120 units

Summary of Units:

Lower Division Major Requirements	34
Upper Division Major Requirements	20
Upper Division Major Electives Requirement	9
Concentration Requirements	9
Additional General Education and other Graduation Requirements	48
Total Units	120

Lower Division Requirements - 34-35 units

MATH 150 - Calculus I Units: 4

MATH 151 - Calculus II Units: 4

MATH 230 - Logic and Mathematical Reasoning (Cross-listed as PHIL 230) Units: 3

MATH 240 - Linear Algebra Units: 3

MATH 250 - Calculus III Units: 3

PHYS 200 - General Physics I Units: 4

Select one of the following:

PHYS 201 - General Physics II Units: 4 and

one additional science course Units: 3-4

One two-semester science sequence Units: 7-8

Select one of the following:

COMP 105 - Computer Programming Introduction Units: 3

COMP 150 - Object-Oriented Programming Units: 4

Select an additional Computer Science course:

COMP 150 - Object-Oriented Programming Units: 4

or above or

COMP 102 - Web Development Units: 3

Upper Division Requirements - 20 units

MATH 300 - Discrete Mathematics Units: 3

MATH 331 - History of Mathematics Units: 3

MATH 350 - Differential Equations and Dynamical Systems Units: 3

MATH 351 - Real Analysis Units: 3

MATH 352 - Probability and Statistics Units: 3

MATH 451 - Complex Analysis Units: 3

MATH 499 - Senior Colloquium Units: 1

(Twice)

Electives in Major - 9-13 units

Note:

Courses used for the concentrations cannot be counted as elective.

Students planning on teaching math have to choose MATH 492 for field experience requirement. Other courses recommended for teaching careers are marked with T.

MATH 318 - Mathematics for Secondary School Teachers Units: 3 T

MATH 330 - Mathematics and Fine Arts Units: 3 T

MATH 345 - Digital Image Processing (Cross-listed as COMP 345, PHYS 345) Units: 3

MATH 354 - Analysis of Algorithms Units: 3

MATH 393 - Abstract Algebra I Units: 3 T

MATH 429 - Operations Research Units: 3

MATH 430 - Research Design and Data Analysis Units: 3

MATH 437 - Mathematics for Games, Simulations, and Robotics Units: 3

MATH 438 - Philosophy of Mathematics (Cross-listed as PHIL 438) Units: 3

MATH 445 - Image Analysis and Pattern Recognition (Cross-listed as PHYS 445, COMP 445)Units: 3

MATH 448 - Scientific Computing Units: 3

MATH 450 - Partial Differential Equations and Mathematical Physics Units: 3

MATH 452 - Computational Bioinformatics (Cross-listed as COMP 452) Units: 4

MATH 480 - Differential and Riemannian Geometry Units: 3

MATH 482 - Number Theory and Cryptography Units: 3 T

MATH 484 - Algebraic Geometry and Coding Theory Units: 3

MATH 490 - Topics in Modern Mathematics Units: 3

MATH 492 - Internship Units: 1-3 T

(Required for teachers)

MATH 494 - Independent Research Units: 1-3

MATH 497 - Directed Studies Units: 3

MATH 499 - Senior Colloquium Units: 1

Concentration - 6-10 units

By the sophomore year, in order to plan their electives, students should decide on one of the concentrations and take all courses listed in that section.

Choice of other concentrations or individualized concentrations is possible upon approval of the mathematics advisor.

Pure Mathematics - 9 units

MATH 393 - Abstract Algebra I Units: 3

MATH 438 - Philosophy of Mathematics (Cross-listed as PHIL 438) Units: 3

Upper Division Math Research or Topics Courses Units: 3

Interdisciplinary GE Course outside major - 3 units

Select one interdisciplinary GE Course 3 units

Recommended:

COMP 447 - Societal Issues in Computing Units: 3

COMP 449 - Human-Computer Interaction (Cross-listed as PSY 449) Units: 3

PHYS 434 - Introduction to Biomedical Imaging (Cross-listed as BIOL 434, HLTH 434) Units:4

To graduate, students must complete 120 units minimum (40 units must be upper division) including all General Education (GE) and Graduation Requirements . The following areas must be included:

Additional Lower Division A-E (GE) Requirements not met within the major

Nine units of Upper Division Upper Division Interdisciplinary GE (UDIGE), courses are numbered 330-349 and 430-449. Six units may be within the major, 3 units must be outside the major (C or better grade)

Multicultural Requirement (C or better grade)

Language Requirement (C or better grade)

American Institutions Requirement

Free electives as needed to meet minimum units for graduation