Mathematics Courses

本课程是为数学专业设计的三门微积分课程中的第一门, engineering, and physical sciences. The course covers elements of analytic geometry, derivatives, limits and continuity, differentiation of algebraic and trigonometric functions, and the definite integral. Application to the sciences are also covered.

微分和积分的延续，包括超越，和反函数. Techniques of integration, numerical integration, parametric equations, polar coordinates, sequences, power series and Taylor series. 主要针对数学、物理科学和工程专业的学生.

Vector valued functions, functions of several variables, partial differentiation, multiple integration, change of variables theorem, scalar and vector fields, gradient, divergence, curl, line integral, surface integral, Theorems of Green, Stokes and Gauss, applications.

Introduction to elementary differential equations, including first and second order equations, series solutions, Laplace transforms, and applications.

Introduction to linear algebra: matrices, determinants, systems of equations, vector spaces, linear transformations, eigenvalue, eigenvectors, and applications.

Sets, relations and functions; logic, methods of proof, induction; combinatorics, discrete probability, recursion, and recurrence relations; graphs and trees; logic circuits; finite state machines. Designed for majors in mathematics and computer science.

这门微积分课程是为商业专业和生命科学某些领域的专业设计的. The course covers differential calculus of algebraic, exponential, and logarithmic functions, introduction to integral calculus, and applications in business, economics, and the life and social sciences. 虽然这是许多项目的最后一门课程，但有些项目可能还需要第二门课程，即MTH 16.

Techniques of integration; multivariable calculus; calculus of trigonometric functions; differential equations; Taylor polynomials. 在商业、经济、生命和社会科学方面的应用. 积分包括分部积分、表格积分和反常积分. 多变量微积分的主题包括偏导数和寻找局部极值. Differential Equations includes separable equations. Applications include probability distributions.

本课程为学生进入数学专业的微积分课程做准备, engineering, and physical sciences. The course covers rational functions and relations with emphasis on logical development and graphing; solutions of polynomial equations and inequalities; the binomial theorem; strengthening of skills on exponential, logarithmic, and trigonometric functions, equations, and graphs; and applications.

面向商业和STEM领域专业的大学水平代数课程(BSTEM). Concepts covered include polynomial, rational, radical, exponential, piecewise, and logarithmic functions and their graphs; nonlinear systems of equations and inequalities; theory of polynomial equations; and sequences and series.

The study of trigonometric functions, their inverses and their graphs, 与三角表达式有关的恒等式和证明, trigonometric equations, solving right triangles, 用余弦定理和正弦定理求解三角形, polar coordinates, and introduction to vectors.

使用数值分析计算机应用程序MATLAB解决工程/科学问题的方法和技术, SimuLink, MuPad, and EXCEL. 利用MATLAB软件进行技术计算和可视化. Examples and applications from applied-mathematics, physical-mechanics, electrical circuits, biology, thermal systems, fluid systems, and other branches of science and engineering.

商科和社会科学专业学生微积分备考. Functions and graphs: polynomials, rational functions, exponential and logarithmic functions, circles, parabolas, binomial theorem, sequences and series. 解决有理，根式，二次型，指数和对数方程. This course is equivalent to MTH 31 with additional lab hours for students who did not place directly into MTH 31 or for students who place directly into MTH 31 but desire additional instruction.

回顾大学代数的核心先决技能. 适用于同时就读于MTH 31，大学代数的学生. Review topics include: Factoring, function concepts, 求解和绘制一元和二元线性方程和不等式, rational exponents and radicals, 指数函数和对数函数的定义及其关系, properties of logarithm, solving exponential and logarithmic equations. 更深入的主题包括:二次函数, operations on polynomials and rational expressions, graphing functions using basic translation and reflection, solving systems of equations in three variables. Recommended for students who are committed to an accelerated math pathway for business and life sciences; who have completed intermediate algebra or high school Algebra 2 with a C or higher, especially not recently; and who need more instructional support than MTH 31 alone.

商科和社会科学专业学生微积分备考. Functions and graphs: polynomials, rational functions, exponential and logarithmic functions, circles, parabolas, binomial theorem, sequences and series. 解决有理，根式，二次型，指数和对数方程.

大学代数的实验室、学习小组、合作工作坊或计算机实验室时间.

Straight lines, systems of linear equations, matrices, systems of linear inequalities, linear programming, mathematics of finance, sets and Venn diagrams, 组合技术和概率论. 在商业、经济和社会科学方面的应用.

有限数学的实验室，学习小组，协作车间或计算机实验室时间.

Straight lines, systems of linear equations, matrices, systems of linear inequalities, linear programming, mathematics of finance, sets and Venn diagrams, 组合技术和概率论. 在商业、经济和社会科学方面的应用. This course is equivalent to MTH 33 with additional lab hours for students who did not place directly into MTH 33 or for students who place directly into MTH 33 but desire additional instruction.

三角函数的实验室、学习小组、合作工作坊或计算机实验室时间.

Plane trigonometry. Includes circular and right triangle trigonometric functions; trigonometric equations, graphs and identities; triangle solutions. Polar coordinates.

Plane trigonometry. Includes circular and right triangle trigonometric functions; trigonometric equations, graphs and identities; triangle solutions. Polar coordinates. 本节包括必要的基本代数和几何主题的嵌入式复习, to improve understanding of trigonometric topics. This course is equivalent to MTH 36 with additional lab hours for students who did not place directly into MTH 36 or for students who place directly into MTH 36 but desire additional instruction.

Laboratory, study group, 三角学的合作工作坊或电脑实验室时间，重点是几何基础.

Plane trigonometry, with topics from plane geometry. Contains the entire subject content of Mathematics 36. Includes circular and right triangle trigonometric functions; trigonometric equations, graphs and identities; triangle solutions. Polar coordinates. Also includes congruence, properties of polygons, parallel lines, similarity, areas, volumes, and coordinate geometry. 本课程还将包括补充支持材料，作为对先决条件技能的回顾. This course is equivalent to MTH 37 with additional lab hours for students who did not place directly into MTH 37 or for students who place directly into MTH 37 but desire additional instruction.

Plane trigonometry, with topics from plane geometry. Contains the entire subject content of Mathematics 36. Includes circular and right triangle trigonometric functions; trigonometric equations, graphs and identities; triangle solutions. Polar coordinates. Also includes congruence, properties of polygons, parallel lines, similarity, areas, volumes, and coordinate geometry.

数字系统的实验室，学习小组，协作车间或计算机实验室时间.

通过探索数学主题发展定量推理技能. 主题包括计数系统的结构，包括实数系统及其子系统, number theory, and computational algorithms. This course is equivalent to MTH 41 with additional lab hours for students who did not place directly into MTH 41 or for students who place directly into MTH 41 but desire additional instruction.

通过对数字系统的探索发展数学思维. 主题包括计数系统的结构，包括实数系统及其子系统, number theory, and computational algorithms. Supports Number Sense Domain in the elementary subject matter preparation standards of the California Commission on Teacher Credentialing.

Descriptive statistics, including measures of central tendency and dispersion; elements of probability; tests of statistical hypotheses (one and two populations); correlation and regression; ANOVA; applications in various fields. 介绍使用计算机软件包来完成描述性和推断性统计问题. This course is equivalent to MTH 43 with additional lab hours for students who did not place directly into MTH 43 or for students who place directly into MTH 43 but desire additional instruction. 如果数学35已经完成，可能不会获得学分. Laboratory, study group, 概率与统计导论的合作工作坊或计算机实验室时间.

Laboratory, study group, 概率与统计导论的合作工作坊或计算机实验室时间. MTH43W is a support course for students taking MTH43. 这是一个伟大的学生谁是过渡到大学水平的数学课程, who are unsure of their abilities, 或者已经离开学校一段时间，在完成MTH 43时需要额外的支持.

Descriptive statistics, including measures of central tendency and dispersion; elements of probability; tests of statistical hypotheses (one and two populations); correlation and regression; ANOVA; applications in various fields. 介绍使用计算机软件包来完成描述性和推断性统计问题. 如果数学35已经完成，可能不会获得学分.

Laboratory, study group, “民主数学”的合作工作坊或计算机实验室时间

在政治过程的核心数学的介绍性研究. Topics from statistics include describing data, measures of center and variation, normal distribution, sampling, and polling. Other topics include analysis of various voting methods, analysis of apportionment, the geometry of compactness, redistricting, and gerrymandering. 本课程不符合部分专业(如:统计学)的要求.g., Psychology, Sociology, Economics, and Business).

数学主题的介绍性研究，强调现实生活中的应用. Topics may include problem solving, geometry, statistics, probability, finance, graph theory, and history and culture of mathematics. Emphasis on real life applications.

Laboratory, study group, 文科数学的合作工作坊或计算机实验室时间.

An introductory study of several mathematical topics. 运用数学在日常生活的不同领域做出明智的决定，如金融和政治. 主题包括逻辑、投票、分配、概率、统计、金融和图论. This course is equivalent to MTH 47 with additional lab hours for students who did not place directly into MTH 47 or for students who place directly into MTH 47 but desire additional instruction.

Formulas; inverse, exponential, and logarithmic functions; introduction to descriptive statistics including graphical methods; introduction to probability. Intended for students who do not need calculus.

Equations and formulas; linear functions; scatterplots and linear models; measurement and conversion of units; proportional reasoning and problem solving. Intended for students who do not need calculus.

Equations and formulas; linear, exponential, logarithmic functions; measurement and conversion of units; exponents and scientific notation; introduction to descriptive statistics including graphical methods; introduction to probability. Intended for students who do not need calculus.

基础数学课程，旨在为学生准备大学代数. 数学思想和推理是通过包括因式分解在内的概念发展起来的, complex numbers, quadratic equations, parabolas, functions and their graphs, systems of equations, rational exponents, radical equations, absolute value equations and inequalities.

Topics in plane geometry. 包括同余，相似，平行线，多边形和圆的性质.

平面几何的实验室，学习小组，协作车间或计算机实验室时间.

Brief review of arithmetic, including fractions, decimals, percentages; order of operations, and geometric formulas. Introduction to algebraic concepts, including signed numbers, properties of real numbers, algebraic expressions, linear equations, and graphs.

为数学专业的学生提供一个在教师指导下建立/保持数学技能的机会, student tutors, and/or fellow classmates. 学生也可以使用软件程序，通过积极的参与式体验，以自己的速度解决问题.

Review of pre-algebra and study skills required to reassess into a mathematics course or to increase success in your next mathematics course.

Review of elementary and intermediate algebra and study skills required to reassess into a mathematics course or to increase success in your next mathematics course.

Review of precalculus and study skills required to reassess into a mathematics course or to increase success in your next mathematics course.

这门非学分课程是预代数非学分能力证书的一部分. 这门课程是免费的，学生可以重复这门课程，直到掌握技能为止. 这是一门非常适合即将升入大学的学生的课程, who are unsure of their abilities, 或者已经离开学校一段时间，想要在过渡到大学水平的数学之前做更多的数学准备. This course covers fractions, decimals, 和百分比和扩展代数概念，包括有理数和十进制数.

这门非学分课程是统计学和文科数学预科非学分能力证书的一部分. 这门课程是免费的，学生可以重复这门课程，直到掌握技能为止. 这是一门非常适合即将升入大学的学生的课程, who are unsure of their abilities, 或者已经离开学校一段时间，想要在过渡到大学水平的数学之前做更多的数学准备. This course covers the same content as MTH 204A, 204B, 204C, and 204D combined: Whole numbers, integers, rational and decimal numbers, percent, geometry, graphing, and problem solving.

这门非学分课程是预代数非学分能力证书的一部分. 这门课程是免费的，学生可以重复这门课程，直到掌握技能为止. 这是一门非常适合即将升入大学的学生的课程, who are unsure of their abilities, 或者已经离开学校一段时间，想要在过渡到大学水平的数学之前做更多的数学准备. 本课程扩展预代数技术以解决多步骤应用问题. 重点放在运用解决问题的技巧来解决几何和金融问题. 本课程还介绍了笛卡尔平面、绘图和线性函数.

这门非学分课程是预代数非学分能力证书的一部分. 这门课程是免费的，学生可以重复这门课程，直到掌握技能为止. 这是一门非常适合即将升入大学的学生的课程, who are unsure of their abilities, 或者已经离开学校一段时间，想要在过渡到大学水平的数学之前做更多的数学准备. 这门课程包括对整数算术的复习, place value, and rounding, as well as an introduction to algebraic concepts.

这门非学分课程是预代数非学分能力证书的一部分. 这门课程是免费的，学生可以重复这门课程，直到掌握技能为止. 这是一门非常适合即将升入大学的学生的课程, who are unsure of their abilities, 或者已经离开学校一段时间，想要在过渡到大学水平的数学之前做更多的数学准备. This course covers an introduction to algebraic concepts, including arithmetic on signed numbers, algebraic expressions, and linear equations.

回顾在迁移水平数学中取得成功所需的代数和学习技巧. 本课程旨在帮助学生为商科和STEM课程做好准备.

这门非学分课程回顾了成功学习数学所需的代数和学习技巧. 本课程旨在帮助学生为统计学和文科数学(非stem专业)的课程做准备。. 如果你需要复习代数或者你想在下次数学课上有一个快速的开始, this course is for you!

这门非学分课程是为商业和STEM数学做准备的非学分能力证书的一部分. 这门课程是免费的，学生可以重复这门课程，直到掌握技能为止. 这是一门非常适合即将升入大学的学生的课程, who are unsure of their abilities, 或者已经离开学校一段时间，想要在过渡到大学水平的数学之前做更多的数学准备. This course includes laboratory, study group, collaborative workshop, or computer laboratory time for College Algebra.

这门非学分课程是为统计学和文科数学准备的非学分能力证书的一部分. 这门课程是免费的，学生可以重复这门课程，直到掌握技能为止. 这是一个伟大的学生谁是过渡到大学水平的数学课程, who are unsure of their abilities, 或者已经离开学校一段时间，在完成MTH 43时需要额外的支持. This course consists of laboratory, study group, 概率与统计导论的合作工作坊或计算机实验室时间, including review of prerequisite skills.

这门非学分课程是统计学和文科数学非学分能力证书的一部分. 这门课程是免费的，学生可以重复这门课程，直到掌握技能为止. 这是一门非常适合即将升入大学的学生的课程, who are unsure of their abilities, 或者已经离开学校一段时间，想要在过渡到大学水平的数学之前做更多的数学准备. Laboratory, study group, 文科数学的合作工作坊或计算机实验室时间.

This noncredit course is part of a noncredit certificate of competency in Preparation for College Mathematics for the Statistics and Liberal Arts pathway. This course is free and is intended to prepare students for the rigor of college-level mathematics coursework required in non-STEM fields. 学生可以重复这门课程，直到掌握了技能为止. 本课程涵盖与MTH 53应用代数与数据分析相同的内容. Students who are transitioning to college, who are unsure of their abilities, or who have been out of school for while may prefer to take the noncredit MTH 253 instead of MTH 53 since it is free and may be repeated. This course covers equations and formulas; linear, exponential, logarithmic functions; measurement and conversion of units; exponents and scientific notation; introduction to descriptive statistics including graphical methods; introduction to probability. 本课程适用于统计学和文科数学方向的学生.

This noncredit course is part of a noncredit certificate of competency in Preparation for College Mathematics for the Business and STEM pathway. 这门课程是免费的，旨在帮助学生为STEM领域所需的严格的大学水平数学课程做好准备. 学生可以重复这门课程，直到掌握了技能为止. 本课程涵盖与MTH 55中级代数相同的内容. Students who are transitioning to college, who are unsure of their abilities, or who have been out of school for while may prefer to take the noncredit MTH 255 instead of MTH 55 since it is free and may be repeated. This course covers topics of Intermediate Algebra, such as quadratic equations, parabolas and circles, functions and their graphs, systems of equations, radical equations, 以及指数和对数函数和方程. This is a great class for students interested in the Business or STEM fields who want some more preparation before transitioning to college-level math.