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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评分模式标准字母成绩总接触时数60讲课时数30实验时数30推荐准备MTH 252。课程描述:向科学、数学和工程专业的学生介绍微积分概念。包括选择的主题在线性代数，参数和极函数，应用微积分参数和极函数，无穷级数，泰勒级数和多项式。课程学习成果运用向量和矩阵的概念和操作来解决理论和应用问题，包括那些涉及定向运动和方程组的问题。2.图形和分析参数方程和极坐标方程。3.应用微分和积分的参数和极方程。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/
数学的研究发展了分析和定量的技能，这在今天的数据驱动的经济中是有价值的。一个主修数学的学士学位对研究生院(如法学院、医学院、教育或商学院)以及在工业、政府、研究和商业领域的直接就业都是很好的准备。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。
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评分模式标准字母成绩总接触时数60讲课时数30实验时数30推荐准备MTH 253或MTH 261A。本课程为科学、技术、工程和数学(STEM)专业的学生介绍微分方程的应用。包括一阶和二阶线性和非线性方程的解，线性一阶微分方程的系统和适用于科学和工程的应用;涵盖了数值、图形、级数和解析解。课程学习成果解析、图解和数值求解微分方程。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系统。\ \ 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1
https://catalog.cocc.edu/course-outlines/mth-254/
成绩单标题向量微积分I学分4评分模式标准字母成绩总接触时数60讲课时数30实验时数30推荐准备MTH 253。课程描述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。课程学习成果分析矢量和矢量的组合在二维和三维，几何和代数与矢量操作。2.对直线、平面、圆柱体和二次曲面进行图形化和解析化分类。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2基础数学m253微积分3基础数学m…
地质学-艺术副俄勒冈转(AAOT)
https://catalog.cocc.edu/programs/geology/geology-aaot/
…m三角学;m251微积分I，m微积分II，有时m253…
工程重点-理学副学士
https://catalog.cocc.edu/programs/engineering-physics/engineering-as/
…化学:ch223普通化学III和m253微积分3。请注意俄勒冈州立大学…
