41 courses with the subject MATH, each shown exactly as we captured it from the college's catalog, with every element we hold. Where the wording looks broken, that is our reading of the catalog, not the college's text.
MATH 100Math for Educators I3
Reviews key concepts in numbers, operations, and algebra. Examines proofs and explanations suitable for elementary instruction. Covers: number bases other than ten, the order of operations, and the addition, subtraction, multiplication, and division of integers, fractions, and algebraic expressions.
Reviews fundamental concepts of arithmetic, algebra, and geometry. Surveys basic statistics and financial mathematics. Students will practice computational skills and information literacy for discerning truth and problem solving.
Introduces topics necessary for the study of calculus. A detailed study of algebraic, trigonometric, exponential and logarithmic functions and equations, and their applications to modeling real world problems. Topics are considered from analytical, graphical and numerical points of view.
Explores the tools necessary to create and adapt mathematical modelling projects suitable for K-12 mathematics students. Reviews current best practices in assessment and transparency, with a focus on writing and coding in mathematics. Students will create a final modelling project suitable for direct inclusion in a classroom setting, with lesson plans, assignment templates, rubrics, and plans for giving appropriate support and feedback.
Explores the discipline of mathematics in order to support majors in their academic work and help them understand their career options. Introduces the diversity of fields within mathematics through presentations, reading and writing activities and interactions with peers and mentors. This seminar is required for all MCLA math majors.
Examines limits, continuity, the derivative, differentiation of elementary functions, applications of the derivative and an introduction to the antiderivative. The first of a four-part sequence.
Teaches students how to recognize persuasion, trickery, or lies that show a blatant disregard for facts and the truth - in a word bullshit. Because it is not enough in today's world to simply recognize bullshit when it appears in its myriad forms, students will also learn how to counter bullshit in powerful and persuasive ways, enhancing not only their own information literacy in the process, but that of people they encounter when they call bullshit.
Examines descriptive statistics, probability, discrete and continuous random variables, sampling theory, confidence intervals, and hypothesis testing from inferential statistics. Includes the binomial distribution, normal distribution, and t-distribution.
Examines descriptive statistics, probability, discrete and continuous random variables, sampling theory, confidence intervals, and hypothesis testing from inferential statistics. Includes the binomial distribution, normal distribution, and t-distribution. The enhanced 4-credit version of MATH 232 will provide students extra time and instructor guidance. This additional time will include reviewing relevant pre-requisite material and working on practice problems together with the instructor.
Examines descriptive statistics, probability, discrete and continuous random variables, sampling theory, confidence intervals, and hypothesis testing from inferential statistics. Includes the binomial distribution, normal distribution, and t-distribution.
Provides a foundation in mathematical topics central to the study of computer science, emphasizing mathematical reasoning and algorithms. Topics include propositional logic, Boolean algebra, mathematical proofs and induction, computer arithmetic, elementary combinatorics, recursion, graphs and trees, matrices, sequences and summation.
Examines descriptive statistics, probability, discrete and continuous random variables, confidence intervals, hypothesis testing, analysis of variance, regression and correlation. Includes normal distribution, t-distribution, chi square distribution. Required computer programming laboratory.
Examines sophomore level topics in mathematics that complement departmental offerings in mathematics or math competency courses. Emphasis is on the nature of mathematical thought and applications of mathematics.
Provides in-depth explanations for the mathematics taught in middle and high school: algebra, equations, and functions. Covers methods for providing differentiated instruction - reviewing topics from arithmetic (fractions, numbers, and operations) while simultaneously introducing new topics.
Examines a wide variety of proof techniques (e.g. direct, by contradiction, by contrapositive, bi-directional, uniqueness, by induction, by counter-example). Students will practice these techniques and learn how and when to apply each one. Functions and relations will provide many examples, and be covered in-depth.
Studies antiderivatives, the definite integral, transcendental functions, techniques and applications of integration, an introduction to improper integrals. The second of a four-part sequence.
Studies infinite series, plane curves, polar coordinates, vectors, vector-valued functions and analytic geometry in three-dimensional space. The third of a four-part sequence.
Examines probability laws, discrete and continuous random variables and their probability distributions, expectation, moments and moment generating functions, sequences of random variables and Markov chains.
Examines functions of random variables, sampling distribution, limit theorems, estimation, hypotheses testing, linear regression, correlation, analysis of variance and analysis of enumerative data.
Investigates definitions and examples of graphs, graph isomorphism, paths and circuits, connectivity, trees, planar graphs, Euler's formula, graph coloring, four and five color theorems and applications.
Investigates definitions and examples of graphs, graph isomorphism, paths and circuits, connectivity, trees, planar graphs, Euler's formula, graph coloring, four and five color theorems and applications.
Studies geometries from an advanced standpoint. Some of the topics that may be covered are non-Euclidean geometry, geometry of the complex plane, affine geometry or projective geometry.
Introduces the basic concepts of number theory: the Euclidean algorithm, primes, divisibility theorems, Mersenne and Fermat numbers, linear Diophantine equations, congruences, unique factorization and quadratic reciprocity.
Introduces the study of algebraic structures with a detailed examination of groups, their properties, and their mappings, including both isomorphic and homomorphic mappings. Cyclic, symmetric, and quotient groups will be studied, as well as groups of permutations, cosets, and normal subgroups. Also covers the Fundamental Homomorphism Theorem.
Explores the development of mathematical models that solve different types of problems, including both discrete and continuous real-world problems that are either deterministic or probabilistic. Determines solutions analytically and through the use of mathematical software.
Examines first- and second-order differential equations with particular emphasis on nth order equations with constant coefficients, differential operators, systems of equations, series solutions, and Laplace transforms.
Studies the approximation of polynomials at points and over intervals; numerical solutions of algebraic and transcendental equations in one unknown using geometric and arithmetic methods; numerical differentiation; and integration.
Concludes the four-semester sequence of calculus with the study of functions in two or more variables, their derivatives and partial derivatives, multiple integrals, line and surface integrals, Green's Theorem and Stoke's Theorem.
Covers various topological spaces. Continuity, connectedness, and compactness are analyzed and compared. Applications of continuity will be applied to the contraction mapping principle. Analysis of product spaces and quotient spaces. Alternate topics may be discussed.
Studies the basic theory of functions of a complex variable including complex numbers and their algebra; analytic functions; Cauchy-Riemann conditions; and the differential and integral calculus of analytic functions.
Examines the basis of calculus with a rigorous exploration of the function concept from both a set-theoretic and topological viewpoint with particular attention to the completeness of the real number system, limits, continuity and convergence of sequences and series.
Introduces theory that is an extension of various upper-division mathematics courses. Special topics may explore, but are not restricted to: analysis, geometry and theory related to modern technology.
Open to juniors and seniors who wish to read in a given area or to study a topic in depth. Written reports and frequent conferences with the advisor are required.
