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SIMMS
IM Home
gbauer@montana.edu
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Level Descriptions
Integrated Mathematics 1
Integrated Mathematics 1 is recommended for all students. Topics in the
course include reflections, surface area, volumes,
three-dimensional graphing, linear equations and models, exponential equations
and growth rate, direct and inverse proportions, introductory probability,
similarity, sequences and series, the Fundamental Counting Principle,
and inequalities.
Integrated Mathematics 2 (Prerequisite:
Integrated Mathematics 1) Integrated Mathematics 2 is recommended
for all students. Topics in the course include matrix operations, right
triangle trigonometry, measures of central tendency, apportionment, geometric
probability, volume and surface area, linear programming, transformational
geometry, exponential laws and models, sampling, function transformations,limits
of sequences, and algorithms.
Integrated Mathematics 3 (Prerequisite:
Integrated Mathematics 1& 2) Integrated Mathematics 3 is recommended
for students in non-mathematics and non-sciences fields. Topics in the
course include discrete mathematics, linear programming, trigonometry,
combinatorics, three-dimensional coordinate systems and models, probability,
linear, power and quadratic functions, expected value, finite differences,
fair division, polynomial models, conic sections, logic, scheduling problems,
and interest formulae.
Integrated Mathematics 4
(Prerequisite: Integrated Mathematics 1 & 2, or Integrated Mathematics
3)
Integrated Mathemtics 4 is recommended for students who plan to major
in mathematics or sciences. Topics in the course include circular, polynomial,
and rational functions and their transformations, logarithms, vectors,
introduction to proof, sequences and series, transformational geometry,
non-Euclidean geometry, combinatorics, parametric equations, normal distribution,
and graph theory.
Integrated Mathematics 5
(Prerequisites: Integrated Mathematics 3, or Integrated
Mathematics 4)
Integrated Mathematics 5is recommended for students who plan to major
in neither mathematics nor science. Topics include polynomial rational
and trigonometric functions, graph
theory, algorithms, parametric equations, vectors, matrices, linear regression,
probability, fractals, logic, number theory, and
confidence intervals.
Integrated Mathematics 6
(Prerequisites: Integrated Mathematics 4, or Integrated
Mathematics 5)
Integrated Mathematics 6 is recommended for students who plan majors in
mathematics or science and who desire Calculus as a next course. Topics
include polar coordinates, limits, chi square test, iteration, hypothesis
testing, operations on functions, finite geometry, complex numbers, periodic
and
discontinuous functions, derivatives, natural logarithms, and induction,
binomial probabilities.
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