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MTH 252微积分II(4学分)
数学252:微积分2
https://catalog.cocc.edu/course-outlines/mth-252/
成绩单标题微积分II学分4年级模式标准信等级接触时间共计60讲课时数30实验时数30推荐准备MTH 251或最少安排数学24级。介绍积分的概念，科学，数学和工程的学生。包括反微分，微积分基本定理，积分技术，数值方法，不当积分和数学建模与应用到几何，物理，经济学和人口动力学。需要绘图计算器。1.学习成果使用微积分基本定理分析问题，包括确定曲线下的面积，曲线之间的面积，和一个函数的平均值。2.在不同的情况下解释定积分的值。3.应用各种数值方法和适当的技术来近似定积分的值。 4. Use the definite integral to solve applied problems, which may include determining volumes of solids, arc length, surface area of solids, fluid force, work, and center of mass. 5. Use appropriate integration techniques to determine antiderivatives. 6. Determine and analyze the total change in a function given function data from a graph, table of values, or formula. 7. Analyze mathematical problems, develop solutions, and communicate those solutions through a technical or laboratory report. Content outline 1. Antiderivatives 2. Introduction to integration 3. The Fundamental Theorem of Calculus 4. Integration techniques a. Substitution b. Integration by parts c. Indefinite integrals d. Approximating integrals e. Additional methods 5. Applications of integration a. Net change b. Areas and volumes c. Work d. Additional applications Required materials This class requires a textbook and a graphing calculator. 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。
MTH 253:微积分III
https://catalog.cocc.edu/course-outlines/mth-253/
成绩单标题微积分三学分4年级模式标准信等级接触时数合计60讲课时数30实验时数30推荐备考MTH 252。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。1.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
MTH 261A:线性代数简介
https://catalog.cocc.edu/course-outlines/mth-261a/
成绩单标题线性代数概论学分2年级模式标准信分接触时数共计20课时20推荐备课MTH 252。为科学、数学和工程专业提供线性代数概念的介绍。主题包括向量，矩阵，线性系统的系统解，行列式，线性相关和独立，线性变换，特征值和特征向量。1.学习成果使用矩阵表示法，行列式的基本性质和矩阵的代数性质来表达和求解线性方程组。2.应用向量代数的性质来解决二维和三维几何问题。3.用对应的矩阵描述一个线性变换，然后用对应的矩阵描述一个线性变换。4. Determine linear dependence and independence for a set of n vectors in n-space. 5. Find the characteristic polynomial and eigenvalues/eigenvectors of particular (small) matrices and explain the concepts as they apply to matrices of any size. Content outline Vectors • Vector definitions and computation • Dot products, projections, and components • Vector equations of lines and planes • Cross products Matrices • Solving systems of equation with matrices • Gauss-Jordan elimination • Determinants • Matrix operations • Matrix inverse • Transpose Relationships between vectors and matrices • Dependence and independence of vectors • Matrices as transformations • Projections • Eigenvalues and eigenvectors Required materials A textbook is required.
通识教育
https://catalog.cocc.edu/degree-certificate-overview/general-education/
.．.m251微积分I 4基础数学m252微积分II 4基础数学m.．.
工程与物理
https://catalog.cocc.edu/programs/engineering-physics/
.．.推荐制剂:PH 202 /212和m251 /252．本课程涉及的主题包括.．.
地质学-艺术副学士俄勒冈转学(AAOT)
https://catalog.cocc.edu/programs/geology/geology-aaot/
.．.是m大学代数，m三角学，m微积分I，m252微积分.．.
生物科学-艺术副学士俄勒冈转学(AAOT)
https://catalog.cocc.edu/programs/biology/biological-sciences-aaot/
.．.243有机化学m251微积分I和m252选修课的微积分二.．.
工程师201:电气基础
https://catalog.cocc.edu/course-outlines/engr-201/
.．.推荐制剂PH值202 /212m251 /252．本课程涉及的主题.．.
ENGR 213:材料强度
https://catalog.cocc.edu/course-outlines/engr-213/
.．.课程时间40先决条件工程师211和m252．研究结构材料的性能.．.
PH 212:普通物理2
https://catalog.cocc.edu/course-outlines/ph-212/
.．.小时40实验室小时30推荐的准备工作m252PH值为211。研究基础.．.
