Undergraduate Program

College of Arts and Sciences and Department of Mathematics and Statistics Undergraduate Admission Requirements

A minimum of 26 credit hours; 23 credit hours must be in courses acceptable toward graduation.

A cumulative grade point average of at least 2.00 on all work.

  • Transfer students must have a 2.0 transfer GPA.
  • Continuing UNM students must have a 2.00 institutional GPA.

Demonstrated academic achievement by satisfying the following:

  • Completion of the University Speaking and Writing Core.
  • Completion of the University Mathematics Core.
  • Completion of the University Foreign Language Core.

Completion of Department of Mathematics and Statistics admission coursework with grades of "C" or better:

  • MATH 123.
  • MATH 150.

Mathematics Major Study Requirements

See separate listing under Statistics for additional degree concentrations.

The following is required of all Mathematics majors:  

  1. 162, 163, 264, 321 (linear algebra), 401 (advanced calculus); 321 and 401 are not required in Mathematics Education; 401 is not required in Mathematics of Computation.
  2. Assignment of an advisor. Students must be assigned a faculty advisor as soon as they decide to major in mathematics. It is important for students to work closely with their advisors in designing a suitable concentration.
  3. Knowledge of a computing language at the level of CS 151L is required.
  4. Of the Mathematics and Statistics courses taken, at least 27 credit hours must be numbered 300 or above.
  5. Completion of one of Concentrations I, II, III, IV or V below.
  6. The pass/fail (CR/NC) option may not be used in courses taken to satisfy requirements 1 and 4. All grades in these courses must  be "C" (not "C-") or better.
  1.   
    Concentration I (Pure Mathematics). The concentration in Pure Mathematics requires MATH 322, 327, 402, 313, 412, and two of the following courses: 319, 421, 431, 434, 441, 462, and 472. Students who are unfamiliar with mathematical abstraction are encouraged to take 327 as early in their program as possible.

     
    Concentration II (Applied Mathematics).
    The concentration must include MATH 311 or 402, 312, 313, 316, 375. Both 311 and 402 can be taken for credit. If 402 is not chosen, then the concentration must include one of 441, 462, 463, 464, 466, 471 or 472. Student must also take one 300-level or above Mathematics and Statistics course, which must be 3-4 credit hours

    Concentration III (Math Education). The concentration in Math Education requires MATH 305, 306, 321 or 314, 322, 327**, 338, 401, STAT 345 and one of MATH 316, 375 or 412.

    Concentration IV (Mathematics of Computation). This concentration requires, along with the usual Math major requirements, the following:

    1. MATH 375, 464 and 471; four of 312, 316, 317, 318, 319, 322; one of STAT 345, MATH 441. Note that MATH 401 is not required for this concentration but is recommended for students contemplating advanced study in mathematics.
    2. A minor in Computer Science. Currently this includes 22 CS hours of which the following are required: CS 152L, 261, 251L, ECE 238L, CS 257L and two of CS 341L, 351L and 361L.
    The CS advisor may make exceptions where appropriate. See the CS department catalog entry for substitutions and restrictions.


    Additional information for Mathematics majors.

    1. Each Mathematics major should be in regular contact with their faculty advisor to discuss his or her program of studies.
    2. Since many graduate schools require a reading knowledge of one or two foreign languages, it is desirable that an undergraduate take three semesters of at least one of the following: French, German, Russian.
    3. A student who would like to have a course offered which is listed as offered on demand should discuss the possibility with the department chairperson.
       

    Mathematics Minor Study Requirements

    MATH 264 and 12 credit hours in Mathematics and Statistics courses numbered above 300. At least 6 of the 12 credit hours must be in courses labeled Math. (Note that a separate statistics minor is available.) The pass/fail (CR/NC) option may not be used for minor study and the grades in all mathematics and statistics courses must be "C" (not "C-") or better. Courses required for a major may not be used to fulfill minor requirement.

    Minor in Statistics Requirements for Mathematics Major

    MATH 264 and STAT 145, 345, 427, 428, and an additional 3 credit hours of Statistics in courses numbered 300 and above. All 12 credit hours in courses 300-level and above must be in courses labeled STAT. (Note that a separate Mathematics Minor for Statistics majors is available). The pass/fail (CR/NC) option may not be used for minor study and the grades in all statistics courses must be a "C" (not "C-") or better.

    Departmental Honors

    Requirements for departmental honors in Mathematics are 1) a 3.5 GPA in Mathematics and Statistics courses and a 3.2 overall GPA; 2) notification to the department coordinator of program advisement no later than two full semesters prior to graduation; 3) completion of a project based on 6 credit hours of MATH 499 (project outline to be presented to the Undergraduate Honors Committee [UHC] for approval); 4) final written report to be submitted to UHC for approval; and 5) seminar to be given at the end of the project. These requirements are in addition to the major requirements.


Statistics Major Study Requirements

The following is required of all Statistics majors. 

  1. Assignment of a faculty advisor. Students must go to the Department of Mathematics and Statistics to be assigned an advisor from the Statistics Group as soon as they decide to  major in statistics.
  2. STAT 145 or approved equivalent.
  3. Knowledge of a computing language at the level of CS 151L/
  4. MATH 162, 163, 264 and one of 314 or 321.
  5. At least 21 credit hours of statistics courses numbered 250 or above (with a grade of "C" (not "C-") or better). These must include STAT 345, 427, 428, 440 and 445.
  6. Enrichment courses: At least 6 additional credit hours of courses numbered 300 or higher and approved by the student's undergraduate advisor. These can be taken in an appropriate discipline of the student's choice, for example: anthropology, biology, business, chemistry, computer science, economics, engineering, mathematics, psychology and statistics. These courses may overlap with the student's minor.
  7. The pass/fail (CR/NC) option may not be used in courses taken to satisfy requirements 2,4 and 5. All grades in these courses must be "C" (not "C-") or better.

Additional information for statistics majors.

  1. For students interested in a career in actuarial science, preparation for the first actuarial exam consists of the courses MATH 162, 163, 264 and 314 or 321. Preparation for the second actuarial exam consists of the courses STAT 453 and 461. For information on actuarial careers and other exams consult a Statistics advisor.
  2. Students planning on pursuing a graduate degree in Statistics are encouraged to take MATH 321 and 401.


Statistics Minor Study Requirements

One year of calculus, MATH 162 and 163, or MATH 180 and 181, STAT 145, 345, 427, 428 and an additional 3 credit hours of mathematics or statistics in courses numbered 250 and above. The pass/fail (CR/NC) option may not be used for minor study and the grades in all mathematics and statistics courses must be "C" (not "C-") or better.

Minor in Mathematics Requirements for a Statistics Major

MATH 264 and 12 credit hours of Mathematics courses numbered above 300. All 12 credit hours must be in courses labeled MATH. (Note that a separate Statistics Minor for Mathematics majors is available.) The pas/fail (CR/NC) option may not be used for minor study and the grades in all mathematics courses must be "C" (not "C-") or better.

Departmental Honors

Requirements for departmental honors in Statistics are 1) a 3.5 GPA in major courses and a 3.2 overall GPA; 2) notification to the department coordinator of program advisement no later than two full semesters prior to graduation; 3) completion of a project based on 6 credit hourss of STAT 495 (project outline to be presented to the Undergraduate Honors Committee (UHC) for approval) 4) final written report to be submitted to UHC for approval; and 5) seminar to be given at the end of the project. These requirements are in addition to the major requirements.


Undergraduate courses in Mathematics (MATH) may be categorized as Introductory Course, or as Courses for Teachers and Education Students.  Courses in these categories are identified in  parenthesis at the end of the course description according to the following legend:

Introductory Courses (I), Courses for Teachers and Education Students (T).


Courses

MATH 101. Intermediate Algebra Part 1. (1)



MATH 102. Intermediate Algebra Part 2. (1)



MATH 103. Intermediate Algebra Part 3. (1)



MATH 106. Problems in Intermediate Algebra. (1)



MATH 107. Problems in College Algebra. (1)



MATH 110. Problems in Elements of Calculus. (1)



MATH 111. Mathematics for Elementary and Middle School Teachers I. (3)



MATH 112. Mathematics for Elementary and Middle School Teachers II. (3)



MATH 116. Topics in Pre-calculus Mathematics. (3)



MATH 121. College Algebra. (3)



MATH 123. Trigonometry. (3)



MATH 129. A Survey of Mathematics. (3)



MATH 150. Pre-Calculus Mathematics. (3)



MATH 162. Calculus I. (4)



MATH 163. Calculus II. (4)



MATH 180. Elements of Calculus I. (3)



MATH 181. Elements of Calculus II. (3)



MATH 215. Mathematics for Elementary and Middle School Teachers III. (3)



MATH 264. Calculus III. (4)



MATH 275. Honors Calculus. (3)



MATH 301 / 503. Calculus for Teachers. (3)



MATH 305 / 507. Mathematics from a Historical Perspective. (3)



MATH 306 / 506. College Geometry. (3)



MATH 311. Vector Analysis. (3)



MATH **312. Partial Differential Equations for Engineering. (3)



MATH **313. Complex Variables. (3)



MATH **314. Linear Algebra with Applications. (3)



MATH **316. Applied Ordinary Differential Equations. (3)



MATH **317. Elementary Combinatorics. (3)



MATH **318. Graph Theory. (3)



MATH **319. Theory of Numbers. (3)



MATH **321. Linear Algebra. (3)



MATH 322. Modern Algebra I. (3)



MATH **327. Introduction to Mathematical Thinking and Discrete Structures. (3)



MATH 338 / 542. Mathematics for Secondary Teachers. (3)



MATH 339 / 543. Topics in Mathematics for Elementary and Middle School Teachers. (1-3, no limit ?)



MATH 350 / 550. Topics in Mathematics for Secondary Teachers. (1-3, no limit ?)



MATH **356. Symbolic Logic. (4)



MATH **375. Introduction to Numerical Computing. (3)



MATH 391. Advanced Undergraduate Honors Seminar. (1-3 to a maximum of 8 ?)



MATH 393. Topics in Mathematics. (3, no limit ?)



MATH 401 / 501. Advanced Calculus I. (4)



MATH 402 / 502. Advanced Calculus II. (3)



MATH **412. Nonlinear Dynamics and Chaos. (3)



MATH **415. History and Philosophy of Mathematics. (3)



MATH *421. Modern Algebra II. (3)



MATH **422. Modern Algebra for Engineers. (3)



MATH *431 / 535. Introduction to Topology. (3)



MATH 434 / 534. Introduction to Differential Geometry. (3)



MATH **439. Topics in Mathematics. (1-3, no limit ?)



MATH 441. Probability. (3)



MATH 462 / 512. Introduction to Ordinary Differential Equations. (3)



MATH 463 / 513. Introduction to Partial Differential Equations. (3)



MATH 464 / 514. Applied Matrix Theory. (3)



MATH *466. Mathematical Methods in Science and Engineering. (3)



MATH *471. Introduction to Scientific Computing. (3)



MATH 472 / 572. Fourier Analysis and Wavelets. (3)



MATH 499. Individual Study. (1-3 to a maximum of 6 ?)



MATH 501 / 401. Advanced Calculus I. (4)



MATH 502 / 402. Advanced Calculus II. (3)



MATH 503 / 301. Calculus for Teachers. (3)



MATH 504. Introductory Numerical Analysis: Numerical Linear Algebra. (3)



MATH 505. Introductory Numerical Analysis: Approximation and Differential Equations. (3)



MATH 506 / 306. College Geometry. (3)



MATH 507 / 305. Mathematics from a Historical Perspective. (3)



MATH 510. Introduction to Analysis I. (3)



MATH 511. Introduction to Analysis II. (3)



MATH 512 / 462. Introduction to Ordinary Differential Equations. (3)



MATH 513 / 463. Introduction to Partial Differential Equations. (3)



MATH 514 / 464. Applied Matrix Theory. (3)



MATH 519. Selected Topics in Number Theory. (3, no limit ?)



MATH 520. Abstract Algebra I. (3)



MATH 521. Abstract Algebra II. (3)



MATH 530. Algebraic Geometry I. (3)



MATH 531. Algebraic Geometry II. (3)



MATH 532. Algebraic Topology I. (3)



MATH 533. Algebraic Topology II. (3)



MATH 534 / 434. Introduction to Differential Geometry. (3)



MATH 535 / 431. Foundations of Topology. (3)



MATH 536. Introduction to Differentiable Manifolds. (3)



MATH 537. Riemannian Geometry I. (3)



MATH 538. Riemannian Geometry II. (3)



MATH 539. Selected Topics in Geometry and Topology. (3, no limit ?)



MATH 540. Stochastic Processes with Applications. (3)



MATH 541. Advanced Probability. (3)



MATH 542 / 338. Mathematics for Secondary Teachers. (3)



MATH 543 / 339. Topics in Mathematics for Elementary and Middle School Teachers. (1-3, no limit ?)



MATH 549. Selected Topics in Probability Theory. (3, no limit ?)



MATH 350 / 550. Topics in Mathematics for Secondary Teachers. (1-3, no limit ?)



MATH 551. Problems. (1-3, no limit ?)



MATH 557. Selected Topics in Numerical Analysis. (3, no limit ?)



MATH 561. Functions of a Complex Variable I. (3)



MATH 562. Functions of a Complex Variable II. (3)



MATH 563. Measure Theory. (3)



MATH 565. Harmonic Analysis. (3)



MATH 568. Stochastic Differential Equations. (3)



MATH 569. Selected Topics in Analysis. (3, no limit ?)



MATH 570. Singular Perturbations. (3)



MATH 572 / 472. Fourier Analysis and Wavelets. (3)



MATH 573. Partial Differential Equations. (3)



MATH 576. Numerical Linear Algebra. (3)



MATH 577. Numerical Ordinary Differential Equations. (3)



MATH 578. Numerical Partial Differential Equations. (3)



MATH 579. Selected Topics in Applied Mathematics. (3, no limit ?)



MATH 581. Functional Analysis I. (3)



MATH 583. Methods of Applied Mathematics I. (3)



MATH 584. Methods of Applied Mathematics II. (3)



MATH 598. Practicum. (1-6 to a maximum of 6 ?)



MATH 599. Master?s Thesis. (1-6, no limit ?)



MATH 605. Graduate Colloquium. (1 to a maximum of 4 ?)



MATH 639. Seminar in Geometry and Topology. (1-3, no limit ?)



MATH 649. Seminar in Probability and Statistics. (1-3, no limit ?)



MATH 650. Reading and Research. (1-6 to a maximum of 12 ?)



MATH 669. Seminar in Analysis. (1-3, no limit ?)



MATH 679. Seminar in Applied Mathematics. (1-3, no limit ?)



MATH 689. Seminar in Functional Analysis. (1-3)



MATH 699. Dissertation. (3-12, no limit ?)



STAT 145. Introduction to Statistics. (3)



STAT **345. Elements of Mathematical Statistics and Probability Theory. (3)



STAT 425 / 525. SAS? Programming. (3)



STAT 427 / 527. Advanced Data Analysis I. (3)



STAT 428 / 528. Advanced Data Analysis II. (3)



STAT 434 / 534. Contingency Tables and Dependence Structures. (3)



STAT 440 / 540. Regression Analysis. (3)



STAT 445 / 545. Analysis of Variance and Experimental Design. (3)



STAT 453 / 553. Statistical Inference with Applications. (3)



STAT 461 / 561. Probability. (3)



STAT 470 / 570. Industrial Statistics. (3)



STAT 472 / 572. Sampling Theory and Practice. (3)



STAT 474 / 574. Biostatistical Methods: Survival Analysis and Logistic Regression. (3)



STAT 476 / 576. Multivariate Analysis. (3)



STAT 477 / 577. Introduction to Bayesian Modeling. (3)



STAT 479. Topics in Statistics. (3, no limit ?)



STAT 481 / 581. Introduction to Time Series Analysis. (3)



STAT 495. Individual Study. (1-3 to a maximum of 6 ?)



STAT 520. Topics in Interdisciplinary Biological and Biomedical Sciences. (3, unlimited ?)



STAT 524. Collaborative Interdiciplinary Teaching. (3)



STAT 525 / 425. SAS? Programming. (3)



STAT 527 / 427. Advanced Data Analysis I. (3)



STAT 528 / 428. Advanced Data Analysis II. (3)



STAT 534 / 434. Contingency Tables and Dependence Structures. (3)



STAT 540 / 440. Regression Analysis. (3)



STAT 545 / 445. Analysis of Variance and Experimental Design. (3)



STAT 546. Theory of Linear Models. (3)



STAT 547. Multivariate Analysis and Advanced Linear Models. (3)



STAT 553 / 453. Statistical Inference with Applications. (3)



STAT 556. Advanced Statistical Inference I. (3)



STAT 557. Advanced Statistical Inference II. (3)



STAT 561 / 461. Probability. (3)



STAT 565. Stochastic Processes with Applications. (3)



STAT 567. Advanced Probability. (3)



STAT 569. Selected Topics in Probability Theory. (3, no limit ?)



STAT 570 / 470. Industrial Statistics. (3)



STAT 572 / 472. Sampling Theory and Practice. (3)



STAT 574 / 474. Biostatistical Methods: Survival Analysis and Logistic Regression. (3)



STAT 576 / 476. Multivariate Analysis. (3)



STAT 577 / 477. Introduction to Bayesian Modeling. (3)



STAT 579. Selected Topics in Statistics. (3, no limit ?)



STAT 581 / 481. Introduction to Time Series Analysis. (3)



STAT 585. Nonparametric and Robust Methods. (3)



STAT 586. Nonparametric and Robust Methods. (3)



STAT 590. Statistical Computing. (3)



STAT 595. Problems. (1-3, no limit ?)



STAT 599. Master?s Thesis. (1-6, no limit ?)



STAT 605. Graduate Colloquium. (1 to a maximum of 4 ?)



STAT 649. Seminar in Probability and Statistics. (1-3, no limit ?)



STAT 650. Reading and Research. (1-6 to a maximum of 12 ?)



STAT 699. Dissertation. (3-12, no limit ?)



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Office of the Registrar

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