**MATH 11000 FUNDAMENTALS OF ALGEBRA (4 cr.)** P: By placement. Fall, spring, summer. Intended primarily for liberal arts and business majors. Integers, rational and real numbers, exponents, decimals, polynomials, equations, word problems, factoring, roots and radicals, logarithms, quadratic equations, graphing, linear equations in more than one variable, and inequalities. This course satisfies the prerequisites needed for MATH M118, M119, 13000, 13600, and STAT 30100.

**MATH 11100 Algebra (4 cr.)** P: By placement. Fall, spring, summer. Real numbers, linear equations and inequalities, systems of equations, polynomials, exponents, and logarithmic functions. Covers material in the second year of high school algebra. This course satisfies the prerequisites needed for MATH M118, MATH M119, MATH 13000, MATH 13600, MATH 15300, MATH 15400, and STAT 30100.

**MATH 13000 Mathematics for Elementary Teachers I (3 cr.) **P: MATH 11000 or MATH 11100 (all with a minimum grade of C-) or by placement. Fall, spring. Numeration systems, mathematical reasoning, integers, rationals, reals, properties of number systems, decimal and fractional notations, and problem solving.

**MATH 13200 Mathematics for Elementary Teachers III (3 cr.) **P: MATH 13000. Fall, spring. Rationals, reals, geometric relationships, properties of geometric figures, one-, two-, and three-dimensional measurement, and problem solving.

**MATH 13600 Mathematics for Elementary Teachers (6 cr.)** P: MATH 11000 or MATH 11100 (all with minimum grade of C-) or by placement. Fall, spring. 13600 is a one-semester version of MATH 13000 and MATH 13200. Not open to students with credit in MATH 13000 or MATH 13200.

**MATH 15300 Algebra and Trigonometry I (3 cr.)** P: MATH 11100 or by placement. Fall, spring, summer. 15300-15400 is a two-semester version of 15900. Not open to students with credit in 15900. 15300 covers college-level algebra and, together with 15400, provides preparation for 16500, 22100, and 23100.

**MATH 15400 Algebra and Trigonometry II (3 cr.)** P: MATH 15300 with a minimum grade of C. Fall, spring, summer. 15300-15400 is a two-semester version of 15900. Not open to students with credit in 15900. 15400 covers college-level trigonometry and, together with 15300, provides preparation for 16500, 22100, and 23100.

**MATH 15900 Precalculus (5 cr.)** P: MATH 11100 with a minimum grade of B or by placement. Fall, spring. MATH 15900 is a one-semester version of MATH 15300 - MATH 15400. Not open to students with credit in MATH 15300 or MATH 15400. MATH 15900 covers college-level algebra and trigonometry and provides preparation for MATH 16500, MATH 22100, and MATH 23100.

**MATH 16300 Integrated Calculus and Analytic Geometry I (5 cr.)** P: 15400 or 15900 (with a minimum grade of C) or equivalent, and one year of geometry. Equiv. IU MATH M211. Review of plane analytic geometry and trigonometry, functions, limits, differentiation, applications of differentiation, integration, the fundamental theorem of calculus, and applications of integration. An honors option is available in this course. Note: Effective Fall 2008, this course is offered as MATH 16500.

**MATH 16500 Analytic Geometry and Calculus I (4 cr.)** P: MATH 15900 or MATH 15400 (all with minimum grade of C) or by placement. Fall, spring. Introduction to differential and integral calculus of one variable, with applications. Conic sections.

**MATH 16600 Analytic Geometry and Calculus II (4 cr.)** P: MATH 16500 with minimum grade of C-. Fall, spring. Continuation of MATH 16500. Vectors in two and three dimensions. Techniques of integration, infinite series, polar coordinates, surfaces in three dimensions.

**MATH 17100 Multidimensional Mathematics (3 cr.) **P: MATH 15900 or MATH 15400 (all with minimum grade of C) or by placement. An introduction to mathematics in more than two dimensions. Graphing of curves, surfaces and functions in three dimensions. Two and three dimensional vector spaces with vector operations. Solving systems of linear equations using matrices. Basic matrix operations and determinants.

**MATH 26100 Multivariate Calculus (4 cr.)** P: MATH 16500, MATH 16600, and MATH 17100 (all with a minimum grade of C-). Fall. Spatial analytic geometry, vectors, curvilinear motion, curvature, partial differentiation, multiple integration, line integrals, and Green's theorem. An honors option for this course is available. Note: Effective Fall 2009, this course is offered under an updated course description, as below.

**MATH 26600 ORDINARY DIFFERENTIAL EQUATIONS (3 cr.) **P: MATH 16500, MATH 16600, and MATH 171 (all with a minimum grade of C-). Spring. First order equations, second and nth order linear equations, series solutions, solution by Laplace transform, systems of linear equations.

**MATH 35100 ELEMENTARY LINEAR ALGEBRA (3 cr.)** P: MATH 16600 and MATH 17100 (all with minimum grade of C-). Fall, spring. Systems of linear equations, matrices, vector spaces, linear transformations, determinants, inner product spaces, eigenvalues, and applications.

**MATH-M 118 Finite Mathematics (3 cr.)** P: MATH 11000 or MATH 11100 (all with a minimum grade of C-) or by placement. Fall, spring, summer. Set theory, logic, permutations, combinations, simple probability, conditional probability, Markov chains. An honors option is available in this course.

**MATH-M 119 Brief Survey of Calculus I (3 cr.)** P: MATH 11000 or MATH 11100 (all with a minimum grade of C-) or by placement. Fall, Spring, Summer. Sets, limits, derivatives, integrals, and applications. An honors option is available in this course.