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MTH 253微积分III(4学分)
MTH 253:微积分III
https://catalog.cocc.edu/course-outlines/mth-253/
成绩单标题微积分III学分4评分方式标准信评分总接触时数60讲课时数30实验时数30推荐备考MTH 252。课程描述向科学、数学和工程学生介绍额外的微积分概念。包括线性代数，参数和极坐标函数，微积分的参数和极坐标函数的应用，无限级数，泰勒级数和多项式。课程学习成果应用矢量和矩阵的概念和操作的理论和应用问题，包括那些涉及方向运动和方程组。2.绘制并分析参数方程和极坐标方程。3.将微分和积分学应用于参数方程和极坐标方程。4. Use an appropriate test to determine the convergence or divergence of an infinite series, such as the comparison test, integral test, alternating series test, ratio test, or root test. 5. Determine the radius and interval of convergence for a power series, be able to represent familiar functions by power series, and be able to describe when they can be differentiated and integrated term-by-term. 6. Approximate complicated functions using Taylor polynomials or partial sums of infinite series and be able to estimate the error in the approximation. Content outline 1. Parametric and polar functions a. Differentiation b. Integration 2. Introduction to series 3. Series convergence tests a. Geometric series test b. Integral test c. Alternating series test d. Ratio test e. Additional tests 4. Power series a. Radius and interval of convergence b. Power series representation of functions c. Differentiation and integration of power series d. Taylor and Maclaurin series 5. Partial sums and error approximation 6. Linear algebra a. Vectors b. Matrices c. Systems of equations Required materials This class requires a textbook. General education/Related instruction lists Mathematics
数学
https://catalog.cocc.edu/programs/mathematics/
学习数学可以培养分析和定量技能，这在当今数据驱动的经济中非常有价值。一个数学专业的学士学位是为研究生院(如法学院、医学院、教育学院或商学院)以及在工业、政府、研究和商业领域直接就业做的很好的准备。此外，数学课程是许多相关科学、技术、工程和数学(STEM)项目的基础。
mth256:应用微分方程
https://catalog.cocc.edu/course-outlines/mth-256/
成绩单标题应用微分方程学分4评分方式标准信分总接触时数60讲课时数30实验时数30推荐备考MTH 253或MTH 261A。课程描述介绍了科学，技术，工程和数学(STEM)学生微分方程的应用。包括一阶和二阶线性和非线性方程的解决方案，线性一阶微分方程系统和适用于科学和工程的应用;数值，图形，级数和解析解决方案涵盖。课程学习成果解析地、图形地和数值地解决微分方程。2.运用技术解决微分方程。3.求解线性和非线性一阶微分方程，二阶微分方程，和线性一阶微分方程组。\ \ n 4。 Construct differential equations that model rates of change. 5. Analyze solutions of differential equations in the context of specific applications. Content outline Introduction to differential equations and first order differential equations Direction fields Solving linear and nonlinear first order differential equations Applications Second order differential equations Constant coefficient homogeneous equations Nonhomogeneous second order differential equations Linear systems of differential equations Required materials This course may require a textbook. General education/Related instruction lists Mathematics
向量微积分I
https://catalog.cocc.edu/course-outlines/mth-254/
成绩单标题向量微积分I学分4评分方式标准信件评分总接触时数60讲课时数30实验时数30推荐备课MTH 253。向理工科学生介绍向量微积分的概念。包括向量和向量函数、参数曲线、多变量函数、偏导数、梯度、方向导数和优化问题。使用绘图技术。课程学习成果用向量运算在二维和三维，几何和代数上分析向量和向量的组合。2.以图形和分析的方式分类直线、平面、圆柱和二次曲面。3.用微积分技术分析向量值函数。 4. Categorize functions of several variables. 5. Analyze multivariable functions with partial derivatives. Content outline Vectors, and vector operations of addition, subtraction, scalar multiplication, dot-and-cross products, algebraically, and geometrically in two- and three-dimensional space Equations and graphs of lines, planes, cylinders, and quadric surfaces in three-dimensional space Vector-valued functions in one variable and space curves Derivatives and integrals of vector-valued functions to find, with respect to the space curve: Tangent and normal vectors Arc-length Curvature Motion in space: position, velocity and acceleration Differentiate functions of several variables by partial differentiation Find and apply directional derivatives and the gradient of a function of two or three variables Use partial derivatives to find tangent planes, normal lines, and extrema of functions of two variables Use Lagrange multipliers to solve optimization problems Required materials This class requires a textbook and access to graphing technology. General education/Related instruction lists Mathematics
通识教育
https://catalog.cocc.edu/degree-certificate-overview/general-education/
.．.m252微积分II基础数学m253微积分III 4基础数学m.．.
地质学-艺术副学士俄勒冈转学(AAOT)
https://catalog.cocc.edu/programs/geology/geology-aaot/
.．.m三角学，m微积分I，m252微积分II，有时m253.．.
汽车技术
https://catalog.cocc.edu/programs/automotive-technology/
.．.115路。建议准备:m060或更高.．.查看课程大纲AUT253汽车空调.．.
工程重点-理学副学士
https://catalog.cocc.edu/programs/engineering-physics/engineering-as/
.．.化学:CH 223通用化学III和m253微积分III。注意俄勒冈州立大学.．.
PH 213:普通物理学III
https://catalog.cocc.edu/course-outlines/ph-213/
.．.小时40实验室小时30推荐的准备工作m253PH值为212。推荐.．.
