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m 252微积分二(4学分)
m 252:微积分二世
https://catalog.cocc.edu/course-outlines/mth-252/
记录标题微积分二学分成绩总联络信4评分模式标准小时实验室60小时讲座30小时30推荐准备24 m 251或最低位置的数学水平。课程描述介绍了积分学科学的概念、数学和工程学的学生。包括不定积分、微积分基本定理、集成技术、数值方法、反常积分和数学建模应用几何、物理、经济和人口动态。图形计算器。课程学习成果1。使用微积分基本定理来分析问题,包括确定一条曲线下的面积,曲线之间的区域,和函数的平均值。2。理解定积分的值在不同的上下文。3所示。应用多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/
数学发展的研究分析和定量技能,在今天的数据驱动的经济是有价值的。学士学位,主修数学很好准备研究生院(如学校的法律、医学、教育、或业务)以及直接就业在工业,政府,研究,和业务。此外,数学课程作为许多相关的基础科学,技术,工程和数学(STEM)项目。
m 253:微积分三世
https://catalog.cocc.edu/course-outlines/mth-253/
记录标题微积分3学分成绩总联络信4评分模式标准小时实验室60小时讲座30小时30推荐准备252 m。课程描述引入了额外的微积分概念的科学,数学和工程的学生。包括选定的主题在线性代数中,参数和极地函数,应用微积分参数和极性功能,无穷级数、泰勒级数和多项式。课程学习成果1。应用向量和矩阵的概念和操作的理论和应用问题,包括那些涉及定向运动方程和系统。2。图表和分析参数和极坐标方程。3所示。应用微积分参数和极坐标方程。4所示。 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
261 m:介绍线性代数
https://catalog.cocc.edu/course outlines/mth - 261 a/
记录标题介绍线性代数学分2评分模式标准推荐信总联系小时讲座20小时20级准备252 m。课程描述介绍线性代数概念的科学,数学和工程专业。主题包括向量,矩阵,线性系统系统的解决方案,行列式,线性相关和独立,线性变换的特征值和特征向量。课程学习成果1。用矩阵表示法,矩阵的行列式的基本性质和代数属性来表达和解决方程的线性系统。2。应用向量代数的性质来解决两和三维几何问题。3所示。描述一个线性变换得到相应的矩阵,并找到一个矩阵的线性变换的描述。4所示。 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年微积分我4 Foundtl数学m252年微积分二4 Foundtl数学m…
工程和物理
https://catalog.cocc.edu/programs/engineering-physics/
…建议准备:202/212和PH值m251 /252年。本课程所涉及的主题包括…
地质-副学士俄勒冈州转移(AAOT)
https://catalog.cocc.edu/programs/geology/geology-aaot/
…是m111年大学代数,m112个三角,m251年微积分我,m252年微积分…
生物科学副学士俄勒冈州转移(AAOT)
https://catalog.cocc.edu/programs/biology/biological-sciences-aaot/
…243有机化学三世,m251年微积分我,m252年微积分二世从选修课…
PH值212:普通物理二世
https://catalog.cocc.edu/course-outlines/ph-212/
…小时30小时40实验室推荐的准备m252年和PH值211。课程描述研究…
