BS in Mathematics
(54 hours*)

Program Requirements    |    View MAP

1. Grades of C- or below will not be acceptable in major courses.
2. Complete the following core requirements:
   MATH 112 Honors Calculus 1.
   MATH 112 : Calculus 1. (4:5:0)(Credit Hours:Lecture Hours:Lab Hours)
   
   OFFERED:	Honors also.
   WHEN TAUGHT:	Fall; Winter; Spring; Summer
   PREREQUISITE:	Math 110 and 111 or equivalent.
   DESCRIPTION:	Differential and integral calculus: limits; continuity; the derivative and applications; extrema; the definite integral; fundamental theorem of calculus; L'Hopital's rule.
   
             : Honors Calculus 1.
   
   
   MATH 113 Honors Calculus 2.
   MATH 113 : Calculus 2. (4:5:0)(Credit Hours:Lecture Hours:Lab Hours)
   
   OFFERED:	Honors also.
   WHEN TAUGHT:	Fall; Winter; Spring; Summer
   PREREQUISITE:	Math 112 or equivalent.
   DESCRIPTION:	Techniques and applications of integration; sequences, series, convergence tests, power series; parametric equations; polar coordinates.
   
   
   MATH 221 : Seminar in Mathematics 1. (.5:1:0)(Credit Hours:Lecture Hours:Lab Hours)
   
   MATH 221 : Seminar in Mathematics 1. (.5:1:0)(Credit Hours:Lecture Hours:Lab Hours)
   
   WHEN TAUGHT:	Fall
   RECOMMENDED:	Math 113.
   DESCRIPTION:	Careers, topics, and problems in mathematics.
   
   
   MATH 290 : Fundamentals of Mathematics. (3:3:0)(Credit Hours:Lecture Hours:Lab Hours)
   
   MATH 290 : Fundamentals of Mathematics. (3:3:0)(Credit Hours:Lecture Hours:Lab Hours)
   
   WHEN TAUGHT:	Fall; Winter
   PREREQUISITE:	Math 112 or concurrent enrollment with instructor's consent.
   DESCRIPTION:	Achieving maturity in mathematical communication. Introduction to mathematical proof; methods of proof; analysis of proof; induction; logical reasoning.
   
   
   MATH 313 : Elementary Linear Algebra. (3:3:0)(Credit Hours:Lecture Hours:Lab Hours)
   
   MATH 313 : Elementary Linear Algebra. (3:3:0)(Credit Hours:Lecture Hours:Lab Hours)
   
   OFFERED:	Honors also.
   WHEN TAUGHT:	Fall; Winter; Spring; Summer
   PREREQUISITE:	MATH 112; or MATH 119
   DESCRIPTION:	Linear systems, matrices, vectors and vector spaces, linear transformations, determinants, inner product spaces, eigenvalues, and eigenvectors.
   
             : Honors Elementary Linear Algebra. (3:3:1)(Credit Hours:Lecture Hours:Lab Hours)
   
   
   MATH 314 : Calculus of Several Variables. (3:3:0)(Credit Hours:Lecture Hours:Lab Hours)
   
   MATH 314 : Calculus of Several Variables. (3:3:0)(Credit Hours:Lecture Hours:Lab Hours)
   
   WHEN TAUGHT:	Fall; Winter; Spring; Summer
   PREREQUISITE:	MATH 313
   DESCRIPTION:	Partial differentiation, the Jacobian matrix, and integral theorems of vector calculus.
   
   
   MATH 334 : Ordinary Differential Equations. (3:3:0)(Credit Hours:Lecture Hours:Lab Hours)
   
   MATH 334 : Ordinary Differential Equations. (3:3:0)(Credit Hours:Lecture Hours:Lab Hours)
   
   WHEN TAUGHT:	Fall; Winter; Spring; Summer
   PREREQUISITE:	MATH 113 & MATH 313
   DESCRIPTION:	Methods and theory of ordinary differential equations.
   
   
   MATH 341 : Theory of Analysis 1. (3:3:0)(Credit Hours:Lecture Hours:Lab Hours)
   
   MATH 341 : Theory of Analysis 1. (3:3:0)(Credit Hours:Lecture Hours:Lab Hours)
   
   WHEN TAUGHT:	Fall; Winter
   PREREQUISITE:	MATH 113 & MATH 290
   DESCRIPTION:	Rigorous treatment of calculus of a single real variable: topology, order, completeness of real numbers; continuity, differentiability, integrability, and convergence of functions.
   
   
   MATH 371 : Abstract Algebra 1. (3:3:0)(Credit Hours:Lecture Hours:Lab Hours)
   
   MATH 371 : Abstract Algebra 1. (3:3:0)(Credit Hours:Lecture Hours:Lab Hours)
   
   WHEN TAUGHT:	Fall; Winter; Spring
   PREREQUISITE:	MATH 290 & MATH 313
   DESCRIPTION:	Groups, group homomorphisms, rings, ideals, and polynomials.
   
   
   
   Note: Math 112, 113 should be honors sections.
3. Complete the following:
   MATH 342 : Theory of Analysis 2. (3:3:0)(Credit Hours:Lecture Hours:Lab Hours)
   
   MATH 342 : Theory of Analysis 2. (3:3:0)(Credit Hours:Lecture Hours:Lab Hours)
   
   WHEN TAUGHT:	Fall; Winter
   PREREQUISITE:	MATH 313 & MATH 341
   DESCRIPTION:	Rigorous treatment of calculus of several real variables; metric spaces, geometry and topology of Euclidean space, differentiation implicity function theorem, integration on sets and manifolds.
   
   
   MATH 352 : Introduction to Complex Analysis. (3:3:0)(Credit Hours:Lecture Hours:Lab Hours)
   
   MATH 352 : Introduction to Complex Analysis. (3:3:0)(Credit Hours:Lecture Hours:Lab Hours)
   
   WHEN TAUGHT:	Fall; Winter
   PREREQUISITE:	MATH 314; or MATH 342
   DESCRIPTION:	Complex algebra, analytic functions, integration in the complex plane, infinite series, theory of residues, conformal mapping.
   
   

4. Complete the following:
   C S 142 : Introduction to Computer Programming. (3:3:0)(Credit Hours:Lecture Hours:Lab Hours)
   
   C S 142 : Introduction to Computer Programming. (3:3:0)(Credit Hours:Lecture Hours:Lab Hours)
   
   WHEN TAUGHT:	Fall; Winter; Spring
   PREREQUISITE:	Knowledge of algebra.
   DESCRIPTION:	Introduction to object-oriented program design and development. Principles of algorithm formulation and implementation.
   
   
5. Complete one of the following:
   STAT 151 : Introduction to Bayesian Statistics. (3:3:0)(Credit Hours:Lecture Hours:Lab Hours)
   
   STAT 151 : Introduction to Bayesian Statistics. (3:3:0)(Credit Hours:Lecture Hours:Lab Hours)
   
   WHEN TAUGHT:	Fall; Winter On Demand; Spring
   PREREQUISITE:	MATH 112
   DESCRIPTION:	The scientific method; conditional probability; Bayes' Theorem; conjugate distributions: Beta-binomial, Poisson-gamma, normal-normal; Gibbs sampling.
   
   
   STAT 201 : Statistics for Engineers and Scientists. (3:3:0)(Credit Hours:Lecture Hours:Lab Hours)
   
   STAT 201 : Statistics for Engineers and Scientists. (3:3:0)(Credit Hours:Lecture Hours:Lab Hours)
   
   WHEN TAUGHT:	Fall; Winter; Spring
   PREREQUISITE:	MATH 112; or MATH 119
   DESCRIPTION:	The scientific method; probability, random variables, common discrete and continuous random variables, central limit theorem; confidence intervals and hypothesis testing; completely randomized experiments; factorial experiments.
   
   
   STAT 370 : Statistical Theory for Actuaries. (3:3:0)(Credit Hours:Lecture Hours:Lab Hours)
   
   STAT 370 : Statistical Theory for Actuaries. (3:3:0)(Credit Hours:Lecture Hours:Lab Hours)
   
   WHEN TAUGHT:	Fall
   PREREQUISITE:	MATH 314 & STAT 240
   DESCRIPTION:	Probability theory; discrete, continuous, mixture random variables; loss distributions; moment-generating functions; conditional probability, expectation; total probability; stochastic independence; transformations. Prepares for Exam P.
   
   
6. With signed approval by a department advisor, select a minimum of three upper-division elective courses to form a coherent set with an identified educational goal.
7. Complete an additional six hours from the following:
   MATH 300 : (Math-MthEd) History and Philosophy of Mathematics. (3:3:0)(Credit Hours:Lecture Hours:Lab Hours)
   
   MATH 300 : (Math-MthEd) History and Philosophy of Mathematics. (3:3:0)(Credit Hours:Lecture Hours:Lab Hours)
   
   WHEN TAUGHT:	Fall; Winter; Spring
   PREREQUISITE:	MATH 113
   DESCRIPTION:	Historical development of important mathematical ideas and philosophies; implications for the mathematical curriculum.
   
   
   MATH 355 : Graph Theory. (3:3:0)(Credit Hours:Lecture Hours:Lab Hours)
   
   MATH 355 : Graph Theory. (3:3:0)(Credit Hours:Lecture Hours:Lab Hours)
   
   WHEN TAUGHT:	Winter
   PREREQUISITE:	MATH 313
   DESCRIPTION:	Maps, graphs and digraphs, coloring problems, applications.
   
   
   MATH 362 : (Math-MthEd) Survey of Geometry. (3:3:0)(Credit Hours:Lecture Hours:Lab Hours)
   
   MATH 362 : (Math-MthEd) Survey of Geometry. (3:3:0)(Credit Hours:Lecture Hours:Lab Hours)
   
   WHEN TAUGHT:	Fall; Winter; Summer
   PREREQUISITE:	MATH 290
   DESCRIPTION:	Logical and historical development of Euclidean and non-Euclidean geometry, transformations and symmetry; relationships among axiomatic systems; use of software and other geometric models; proofs and Van Hiele levels.
   
   
   MATH 372 : Abstract Algebra 2. (3:3:0)(Credit Hours:Lecture Hours:Lab Hours)
   
   MATH 372 : Abstract Algebra 2. (3:3:0)(Credit Hours:Lecture Hours:Lab Hours)
   
   WHEN TAUGHT:	Fall; Winter
   PREREQUISITE:	MATH 371
   DESCRIPTION:	Fields, Galois theory, solvability of polynomials by radicals.
   
   

   Any 400- or 500-level mathematics courses (except Math 500).

8. Students who continue toward graduate work should complete:
   MATH 372 : Abstract Algebra 2. (3:3:0)(Credit Hours:Lecture Hours:Lab Hours)
   
   MATH 372 : Abstract Algebra 2. (3:3:0)(Credit Hours:Lecture Hours:Lab Hours)
   
   WHEN TAUGHT:	Fall; Winter
   PREREQUISITE:	MATH 371
   DESCRIPTION:	Fields, Galois theory, solvability of polynomials by radicals.
   
   
   MATH 532 : Complex Analysis. (3:3:0)(Credit Hours:Lecture Hours:Lab Hours)
   
   MATH 532 : Complex Analysis. (3:3:0)(Credit Hours:Lecture Hours:Lab Hours)
   
   WHEN TAUGHT:	On Demand
   PREREQUISITE:	Math 352 or instructor's consent.
   DESCRIPTION:	Introduction to theory of complex analysis at beginning graduate level. Topics: Cauchy integral equations, Riemann surfaces, Picard's theorem, etc.
   
   
   MATH 541 : Real Analysis. (3:3:0)(Credit Hours:Lecture Hours:Lab Hours)
   
   MATH 541 : Real Analysis. (3:3:0)(Credit Hours:Lecture Hours:Lab Hours)
   
   WHEN TAUGHT:	Fall
   PREREQUISITE:	Math 341; 314 or 342; or equivalents.
   DESCRIPTION:	Rigorous treatment of differentiation and integration theory; Lebesque measure; Banach spaces.
   
   
9. Those planning for doctoral work should also complete Math 451, 553, and 554 and are advised to gain competence in one or two languages from French, German, and Russian.
10. Students are required to take the mathematics major field test the last semester before they graduate. The test is an ETS (Educational Testing Service) standardized assessment test of undergraduate mathematics. Go to ETS Major Field Tests for a test description and sample problems. A passing score is required. This test does not appear on the transcript or affect the GPA.
11. Students must participate in an exit interview before graduation.

Recommended Courses

ECON 110 : Economic Principles and Problems. (3:3:0)(Credit Hours:Lecture Hours:Lab Hours)

ECON 110 : Economic Principles and Problems. (3:3:0)(Credit Hours:Lecture Hours:Lab Hours)

OFFERED:	Honors also.
WHEN TAUGHT:	Fall; Winter; Spring; Summer
DESCRIPTION:	Strengths and weaknesses of markets and governments for solving problems of social organization or conflict, including policy response to inflation, unemployment, pollution, poverty, growth, etc.
NOTE:	This course is part of a GE Mosaic. See ge.byu.edu/mosaic-list for more information.

          : Honors Economic Principles and Problems.


PHSCS 121 : Principles of Physics 1. (3:3:1)(Credit Hours:Lecture Hours:Lab Hours)

PHSCS 121 : Principles of Physics 1. (3:3:1)(Credit Hours:Lecture Hours:Lab Hours)

WHEN TAUGHT:	Fall; Winter; Spring
PREREQUISITE:	Calculus or concurrent enrollment.
DESCRIPTION:	Newtonian mechanics. Weekly lab.


PHSCS 220 : Principles of Physics 3. (3:3:1)(Credit Hours:Lecture Hours:Lab Hours)

PHSCS 220 : Principles of Physics 3. (3:3:1)(Credit Hours:Lecture Hours:Lab Hours)

WHEN TAUGHT:	Fall; Winter; Summer
PREREQUISITE:	Phscs 121 or equivalent; Math 113 or equivalent.
DESCRIPTION:	Electricity and magnetism. Weekly lab.

*Hours include courses that may fulfill university core requirements.

Show all Mathematics (Math) Courses