Each course has a lecture, which meets three hours per week and has students. The instructor introduces the material, conveys the key concepts, presents applications, and solves example problems.
Instructors will often have you work problems in class. They use electronic polling of the class to gauge student understanding and assign think-pair-share questions — try it yourself, team up with a classmate, and share your ideas with each other about how to solve it. We offer meeting times per semester of the core courses: College Algebra, Precalculus, Calculus 1, and Calculus 2. All sections of each course share:. These common elements ensure that standards are the same for all students and that all students are equally prepared for a subsequent course.
There are meeting times of Calculus 3 each semester. Instructors write syllabi and exams independently. Emphasis is on the history of mathematical ideas, rather than on personalities or social background. Preliminary ideas, differential equations of the first and second order, linear equations with constant coefficients, operational techniques, simultaneous equations, series solutions, and applications. Preliminary notions, techniques for solving well-known partial differential equations of physics, orthogonal functions, and applications.
Approximate computations and round-off errors, Taylor expansions, numerical solution of equations and systems of equations, numerical integration, numerical solution of differential equations, interpolation, and problem solving on the computer.
Estimation of eigenvalues and eigenvectors of matrices; numerical solutions of differential equations, existence, and stability theory; and computer lab assignments. Cross-listed as COMP Probability axioms, conditional probability, discrete and continuous sample spaces, random variables and common distributions, jointly distributed random variables, and central limit theorem.
Statistical models, estimation, hypothesis testing, optimality, linear models, analysis of discrete data, and nonparametric methods. Principles of enumeration, finite difference calculus, generating functions, finite difference equations, principle of Inclusion and Exclusion, introduction to the theory of combinatorial graphs, and applications to computer science. Core Attributes: Advanced writing competency. Analysis is the study of the foundations of calculus, including formal definitions of limits and convergence, and careful proofs of basic facts about numbers and functions.
This course is an introduction to analysis of functions of one real variable. This course is a continuation of MATH Analytic function theory; power series, analytic continuation, conformal mapping, and applications.
Abstract algebra is the study of operations like addition and multiplication that act on objects other than numbers, such as vectors, matrices, polynomials, functions, transformations, and symmetries. This course is an introduction to the basic structures of abstract algebra: groups, rings, integral domains, division rings, fields, vector spaces, and algebras, and their applications to other branches of mathematics.
An introduction to an area of modern geometry. The specific topic will be chosen from the following: non-Euclidean geometry, differential geometry, projective geometry, or metric geometry, and historical references. Metric spaces, topologies, subspaces, continuity, separation axioms, compactness, and connectedness. Abstract structure of logical arguments, theory of the propositional and predicate calculus, and selected topics in modern logic.
Units: 1 Repeatability: Yes Can be repeated for Credit. This course is intended for students who enjoy the challenge of mathematical problems.
This course differs from other mathematics courses which are focused on the theory and applications of a single branch of mathematics. It emphasizes problem-solving techniques, creative thinking, and exposition of skills in different areas of mathematics such as algebra, calculus, geometry, and number theory. May be taken twice for credit. This course is a required course in the Mathematics Single Subject credential program.
It provides a capstone experience for future mathematics high school teachers, in which they look at topics in high school mathematics from an advanced viewpoint. Connections between mathematics topics and between basic and more advanced mathematics will be emphasized. Core Attributes: Advanced Integration. An introduction to mathematical applications to ecology. In this integrative course, students will learn to describe ecological processes in mathematical terms and formulate different types of mathematical models relevant to ecology.
In a weekly lab, students from MATH and EOSC will work together on integrative projects and computer programming applications to mathematical ecology. Core Attributes: Advanced writing competency, Oral communication competency. He earned his Ph. There are no sections of this course currently scheduled. See All In Business Intelligence. Calculus I. Take second derivatives of single independent variable functions to assist in determining relative maximum and minimum values and inflection points.
Take partial derivatives of multiple independent variable functions. Relate the process of anti-differentiation to the process of differentiation; take anti-derivatives of the most common functions found in an applied environment.
Relate anti-derivatives and indefinite integrals.
0コメント