Prerequisites: All mathematics courses have prereqs. Thus, to be eligible to enroll in a mathematics course, a student must have received a grade of C or better in the HSU courses listed as pre-reqs. In some lower division courses, a student may also satisfy the prereqs with an appropriate score on a mathematics placement exam.
Enrollment in remedial or general education mathematics courses is permitted only for those students who have taken or are exempt from the ELM exam. Students who have not met the specified prereqs need IA to enroll.
In courses marked with asterisks*, credit earned may not count toward unit requirements for graduation, for GE, or for any major.
MATH 040. Elementary Algebra
(3) FS. Transition from arithmetic to algebra; operations on real
numbers and algebraic expressions; polynomials, fractional expression,
square roots; solving elementary equations and word problems.
May not be repeated upon receipt of a grade below C- or a grade
of U, NC, or W. Prereq: HSU math code 10. Credit earned
may not count toward unit requirements for graduation, for general
education, or for any major.
MATH 041. Intensive Elementary Algebra (4) FS. Cover MATH 40 material with lectures three hours per week and a mandatory lab (tutoring by upper division students) two hours per week. Prereq: HSU math code 06. Credit earned may not count toward unit requirements for graduation, for general education, or for any major.
MATH 042. Beginning Algebra (5) FS. Arithmetic review; signed numbers; polynomial arithmetic; first and second degree equations; exponents, rational expressions, and equations; radical expressions and equations; linear systems; introduction to logarithms. May not be repeated upon receipt of a grade below C- or a grade of U, NC, or W. Prereq: HSU math code 20. Credit earned may not count toward unit requirements for graduation, for general education, or for any major.
MATH 043. Skills for Quantitative Literacy (2) FS. Quantitive and algebraic methods at the level of intermediate algebra that supports the development of quantitative literacy: Completes mandated remediation in the context of a general education course. Requires concurrent enrollment in MATH 103i. Prereq: MATH 40 or 41 or 42 or math code 30.
MATH 044. Intermediate Algebra (3) FS. Fundamental operations, laws, terminology, and notation of algebra; concepts of expression, set, variable, function, graph, equality, equations, and identity; drill with fractions, exponents, and radicals; linear and quadratic equations; systems of equations; introduction to logarithms. May not be repeated upon receipt of a grade below C- or a grade of U, NC, or W. Prereq: MATH 40 or 41 or math code 30. Credit earned may not count toward unit requirements for graduation, for general education, or for any major.
MATH 045. Intensive Intermediate Algebra (4) FS. Cover MATH 44 material with lectures three hours per week and a mandatory lab (tutoring by upper division students) two hours per week. Prereq: HSU math code 08. Credit earned may not count toward unit requirements for graduation, for general education, or for any major.
MATH 046. Workshop for ELM & MPT Review (.5). Brief, intensive review of topics from ELM exam: intermediate algebra and elementary geometry skills. Recommended for students needing only a brief review to pass the ELM.Credit earned may not count toward unit requirements for graduation, for general education, or for any major. Enroll concurrently in supported class (see class schedule). Prereq: math code 06 or above.
MATH 099. Supplementary Instruction in Mathematics (2) FS.* For students who need help in mathematics courses. CR/NC. Enroll concurrently in supported class (see class schedule). Credit earned may not count toward unit requirements for graduation, for general education, or for any major.
MATH 103. Contemporary Mathematics (3) FS. Nonmathematicians see some of the character of mathematics. Topics vary. Prereqs: MATH 42 or 44 or 45 or math code 40.
MATH 103i. Mathematics as a Liberal Art (3). Ways mathematics uses quantitative, geometrical, algebraic, and statistical thinking in problem solving. Requires concurrent enrollment in math 43. Meets GE area B only with successful completion of MATH 43. Not recommended as preparation for MATH 115. Prereq: MATH 40 or 41 or 42 or math code 30. Coreq: MATH 43
MATH 104. Finite Mathematics (3). Topics from logic, combinatorics, probability theory, and matrix algebra; applied to problems from social and biological sciences. Prereqs: HSU MATH 42 or 44 or 45 or 103i or math code 40. (CAN MATH 12)
MATH 105. Calculus for the Biological Sciences & Natural Resources (3) FS. Differential and integral calculus. Apply to biological sciences, including exponential growth and decay. Prereq: MATH 115; or math code 50; or MPT3 15 and ELMT 100. CAN MATH 30. GE.
MATH 106. Calculus for Business & Economics (4). Logarithmic and exponential functions. Derivatives, integrals; velocity, curve sketching, area; marginal cost, revenue, and profit, consumer savings; present value. Prereq: HSU MATH 42 or 44 or 45 or math code 40.
MATH 108. Critical Thinking in Mathematics (3). Develop and apply critical thinking and problem-solving skills by exploring patterns and mathematical themes in school and society. Prereq: MATH 42 or 44 or 45 or 103i or math code 40.
MATH 109. Calculus I (4) FS. Limits, continuity, derivatives, integrals, and their applications. Prereq: MATH 115 or 106 or math code 50; or MPT3 15 and ELMT 100. (CAN MATH 18)
MATH 110. Calculus II (4) FS. Logarithmic and exponential functions, inverse trigonometric functions, techniques of integration, infinite sequences and series, conic sections, polar coordinates. Prereq: MATH 109 or math code 65. (CAN MATH 20)
MATH 115. Algebra & Elementary Functions (4) FS. In-depth treatment of exponential, logarithmic, trigonometric, and polynomial functions. Prereq: HSU MATH 42 or 44 or 45 or math code 40. Weekly: 3 hrs. lect. and 1 hr. discussion.
MATH 205. Multivariate Calculus for the Biological Sciences & Natural Resources (3) S. Differential equations, partial derivatives, double integrals, and curve fitting techniques; vectors; applications. Prereq: MATH 105 or math code 65 or IA. (CAN MATH 32)
MATH 210. Calculus III (4) FS. Vectors; parametric equations; three-dimensional analytic geometry; vector-valued functions; partial derivatives; multiple integrals; introduction to line integrals. Prereq: MATH 110. (CAN MATH 22)
MATH 240. Introduction to Mathematical Thought (3). Mathematical reasoning, writing, and proofs; sets, functions, topics in discrete mathematics, problem formulation, problem solving. Prereq: MATH 105 or 106 or 109 or math code 65.
MATH 241. Elements of Linear Algebra (3) FS. Linear systems, matrices, determinants, linear independence, bases, eigenvalues, and eigenvectors. Prereqs: MATH 205 or 210 (C) CAN MATH 26.
MATH 253. Discrete Mathematics (3). Sets, functions, relations, algorithms, induction, recursion, combinatorics, graphs, trees, and propositional logic. Prereqs: MATH 115; or math code 50; or MPT3 15 and ELMT 100; plus a course in computer programming.
MATH 280. Selected Topics in Mathematics (.5-3). Rep. Prereq: IA.
MATH 301. Mathematics & Culture: an Historical Perspective (3) S. Various cultures' influence on development of mathematics. "Pythagorean" theorem before/after Pythagoras; history of pi from biblical to modern times; primes and perfect numbers from Euclid to today; evolution of algebra from Omar Khayyam to Renaissance and beyond. Meets history requirement for math secondary education, but for math majors does not count toward 26 units of 300-level (or above) courses. Prereq: MATH 115; or math code 50; or MPT3 15 and ELMT 100. GE, DCG.
MATH 308B - MATH 308C. Mathematics for Elementary Education (3-3) FS. Develop advanced perspective of concepts, structures, and algorithms of math constituting the core of K-8 math curriculum: the real number system; number theory; algebra and functions; geometry and measurement; probability and statistics; mathematical reasoning. Must be taken in B-C order. Does not apply toward math major/minor. Prior IA required for majors other than LSEE or CDEE. Prereq: lower division GE math course or math code 45 and MATH 308B (for 308C).
MATH 311. Vector Calculus (2) F. Vector fields; line and surface integrals; Green's theorem, divergence theorem, Stokes' theorem; applications. Prereqs: MATH 210 and 241.
MATH 313. Ordinary Differential Equations (4) FS. Systems and series solution methods; applications. Numerical and analytical techniques. Prereqs: MATH 210 and 241.
MATH 314. Partial Differential Equations (3) S. Fourier series; partial differential equations, boundary-value problems, applications. Prereq: MATH 313. Recommended: MATH 311.
MATH 315. Advanced Calculus (4) F. Theory and applications of differential and integral calculus for vectors and several variables. Taylor's theorem and implicit function theorem. Transformations and mappings; line and surface integrals; integral theorems. Prereq: MATH 210, 241.
MATH 340. Number Theory (3) F. Divisibility, congruencies, quadratic reciprocity, arithmetic functions, Diophantine equations, introduction to algebraic number theory, computer applications. Prereqs: MATH 240, 241, a course in computer programming.
MATH 343. Introduction to Algebraic Structures (4) S. Elementary number theory, groups, rings, integral domains, fields, modules, linear algebras. Prereqs: MATH 240 and MATH 241.
MATH 344. Linear Algebra (3) F. Matrices, vector spaces, linear transformations, canonical forms, characteristic values, applications. Prereq: MATH 240 and 241.
MATH 351. Introduction to Numerical Analysis (4) F. Error analysis, computer arithmetic; solving equations in one variable; interpolation and polynomial approximation; numerical differentiation and integration; ordinary differential equations; solutions of linear systems. Prereq: MATH 205 or 210; MATH 241; CIS 131. Weekly: 3 hrs lect, 2 hrs lab.
MATH 361. Introduction to Mathematical Modeling (4) S. Modeling techniques. Examples from biological, environmental, and physical sciences: continuous, discrete, stochastic, and computer simulation models. Prereqs: a year of calculus; a course in computer programming. Recommended: a course in linear algebra. Three hours lecture, two hours lab per week.
MATH 370. School Mathematics from Advanced Viewpoint I (3) F. In-depth study of real and complex numbers, functions, equations, polynomials, and trigonometry. Material is rooted in the mathematical content and problems of high school mathematics, but concepts are treated from a mathematically-advanced standpoint. [Prereq: MATH 110 and 240.]
MATH 371. Geometry (3) S. Classical and modern problems and concepts. Topics from: plane and solid geometry; Euclidean geometry; deductive approaches, non-Euclidean and alternative characterizations of geometry using synthetic, analytic, and transformational approaches. Prereqs: high school geometry or equivalent; MATH 240; or IA.
MATH 381. Tutorial on Mathematical Proofs (1). Develops ability to present clear mathematical exposition and argument. Prereq: concurrent enrollment in an upper division theoretical mathematics course.
MATH 401. History of Mathematics I (3) F. Key mathematical ideas/milestones: from antiquity to evolution of calculus. Research techniques introduced. Prereq: MATH 205 or 210 and high school geometry (or equivalent), or IA. Offered alternate years.
MATH 413. Advanced Ordinary Differential Equations (3). Existence and uniqueness of solutions; linear systems and vector-matrix differential equations; oscillation and comparison theorems; nonlinear differential equations and stability. Prereq: MATH 313 or equivalent. Offered alternate years.
MATH 415 - MATH 416. Introduction to Real Analysis (4-3) FS. Real numbers, metric spaces, topology of Euclidean space, sequences, series, continuity, implicit and inverse functions, differentiation, integration, series of functions, and uniform convergence. Prereqs: MATH 210, 240 (343 strongly recommended); MATH 415 for 416.
MATH 418. Introduction to Complex Analysis (3). Analytic and meromorphic functions, power series, singularities, and residues. Prereqs: MATH 210, 240. Offered alternate years.
MATH 443. Advanced Algebraic Structures (3) F. Advanced topics in groups, rings, and fields; polynomials and Galois theory; applications. Prereq: MATH 343. Offered alternate years.
MATH 446. Mathematical Logic & Set Theory (3). Informal set theory; sentence and predicate logic. Topics from formal arithmetic, recursive function theory, proof theory, and/or model theory. Prereq: MATH 343. Offered alternate years.
MATH 451. Advanced Numerical Analysis (4) S. Approximation theory; numerical solutions to ordinary differential equations, partial differential equations, boundary value problems, nonlinear systems. Prereqs: MATH 313, 351. Weekly: 3 hrs lect, 2 hrs lab. Offered alternate years.
MATH 470. School Mathematics from an Advanced Viewpoint II (3) S. Connect undergraduate mathematics to the mathematics curriculum of grades 7-14. Integrated projects: algebra, geometry, probability and statistics, discrete math, number theory, history of mathematics, applications of mathematics, and classical problems. Specific mix of topics depends on student background. Prereqs: senior mathematics major and IA.
MATH 474. Graph Theory (3). Finite graphs, trees, digraphs, Eulerian and Hamiltonian graphs, coloring problems, mappings, graphs as models, and application of graph theory. Prereqs: MATH 240 or IA. Offered alternate years.
MATH 480. Selected Topics in Mathematics (1-4). Rep. Prereq: IA.
MATH 481. Workshop in Tutoring Mathematics (1). Teaching techniques applicable to a tutorial setting. Primarily for students concurrently tutoring math. CR/NC. May count for credit only toward a major in mathematics (education). Rep twice. Prereq: IA.
MATH 485. Seminar in Mathematics (1-2). Current literature, research, and problem solving. Rep, but no more than two units may apply to the major. Prereq: IA.
MATH 499. Directed Study (.5-3). Directed reading and conferences on special topics in mathematics. Rep.
MATH 521. Applied Stochastic Processes (3) S. Markov processes, Kolmogorov forward and backward equations, queuing theory, birth and death processes, diffusion processes, renewal theory; Brownian motion. Prereqs: MATH 313 or 344 or STAT 323.
MATH 561. Dynamic Systems (4) F. Linear and nonlinear systems of difference equations and differential equations as applied to mathematical models of real dynamic phenomena; bifurcation theory. Prereqs: MATH 313, 344.
MATH 564. Applied Optimization (4) S. Topics may include: linear and dynamic programming; Euler's equation; fixed and variable endpoint problems; principles and applications of the calculus of variations, concepts of control theory; optimal control, including the maximum principle; applications. Prereq: MATH 561 or IA.
MATH 580. Selected Topics in Mathematics (1-4). Rep. Prereq: IA.
MATH 595. Mathematical Modeling Practicum (3) F. Practical experience constructing and analyzing mathematical models. Rep. Prereq: concurrent enrollment in MATH 561 or 564 or IA.
MATH 685. Seminar in Mathematics (1-2). Review and report on current literature and problems in mathematics. Rep.
MATH 690. Thesis/Project (1-4). Guided investigation of a problem of mathematical significance, culminating in a formal report in compliance with standards established by HSU. Rep. Prereq: IA.
MATH 695. Directed Research (1-2). Individual research on advanced problems. Rep. Prereq: grad standing.
MATH 699. Independent Study (.5-3). Directed reading and conferences on special topics in mathematics. Rep.
MATH 700. In-Service Professional Development in Mathematics (.5-3). Directed studies for professionals in mathematics who desire advanced or specialized instruction, especially that leading to credentialing and certification. Rep. Prereq: IA.
MATH 701. In-Service Professional Development in Mathematics Education (.5-5). Directed studies for professionals in mathematics who desire advanced or specialized instruction in curricular or pedagogical areas of K-16 mathematics. Rep. Prereq: IA.
MATH 707. Elementary Mathematics from an Advanced Viewpoint (1-3). Topics of interest to high school teachers: algebra, geometry, probability and statistics, number theory, history of mathematics, applications of mathematics, classical problems. Topics depend on student background. Rep. Prereq: IA.
activ = activity section
(C) = may be concurrent
CAN = California articulation number (for a more complete explanation, see section 3 under Transfer Requirements).
coreq = corequisite(s)
CR/NC = credit/no credit grading
DA = department approval
DCG = diversity & common ground elective course
disc = discussion section
F, S, Su = fall, spring, summer. To help in long-range academic planning, these letters signify that a course is regularly offered in a fall, spring, or summer term.
GE = general education elective course
IA = instructor approval
lect = lecture section
prereq = prerequisite(s)
rep = may be repeated