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微积分I(4学分)
第251题:微积分I
https://catalog.cocc.edu/course-outlines/mth-251/
成绩单标题微积分I学分4年级模式标准信年级联系学时总计60课学时30实验室学时30推荐准备MTH 112(或更高)或至少安排数学22级。介绍微积分的概念，为科学，数学和工程的学生。包括限制和连续性;导数;利率的变化;多项式、有理数、三角函数、对数函数和指数函数的导数;包括相关费率和优化的应用;和不定积分。图形计算器。学习成果1。 Calculate and apply limits. 2. Apply the basic techniques of differentiation on polynomial, rational, trigonometric, exponential, and logarithmic functions to investigate the behavior of mathematical models. 3. Apply and interpret the relationships between applied or theoretical models and their derivatives, with emphasis given to applications of rates of change. 4. Determine and analyze the rate of change of functions given function data from a graph, table of values, or formula. 5. Use the topics from calculus in conjunction with the graphing calculator to obtain precise graphs of models, including a graphical analysis of rates of change, concavity, and extrema for the model. 6. Analyze mathematical problems, develop solutions, and communicate those solutions through a technical or laboratory report. Content outline 1. Limits and continuity 2. Introduction to derivatives 3. Differentiation rules a. Basic rules b. Product and quotient rules c. Chain rule d. Derivatives of various function families e. Implicit differentiation 4. Rates and related rates 5. Derivatives and graphs a. Extrema b. Concavity and the derivative tests 6. Optimization 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量化的能力，这在当今数据驱动的经济中是很有价值的。数学专业的学士学位是进入研究生院(如法学院、医学院、教育学院或商学院)以及在工业、政府、研究和商业中直接就业的很好的准备。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 243:概论与统计I
https://catalog.cocc.edu/course-outlines/mth-243/
成绩单标题Prob Stat 1学分4年级模式标准信件等级联系时数总计40授课时数40推荐准备MTH 111(适用于MTH 241或MTH 251)或MTH 105或至少安排数学20级。描述介绍概率和描述性统计。包括图表和数据的关键阅读，基本概率论，随机变量，二项和正态概率分布。以中心极限定理为顶点。绘图计算器是必需的。推荐TI -83或TI -84。学习成果1。学生将建模并解决来自一般、社会和管理科学的现实和理论线性规划问题;使用叙述、符号、图形和代数策略来设计、解决和解释模型。2. Student will model and solve real-world and theoretical problems from the general, social, and management sciences using counting theory and probability; narrative, symbolic, and algebraic strategies will be used to model and interpret solutions that use applications of permutations, combinations, the probability function, tree diagrams, and conditional probability models. 3. Student will analyze and describe real-world data sets using descriptive statistics for the general, social, and management sciences; narrative, graphical, and algebraic methods will be used to summarize and quantify data for the purpose of making informed decisions. 4. Student will understand, apply, solve, and interpret the standard forms of linear programming models when applied to specific applications from the general, social, and management sciences. 5. Student will use the graphing calculator to obtain numeric values for the measures of central tendency, measures of dispersion, and for graphical representations of statistical display. General education/Related instruction lists Science not Lab Mathematics
微积分2
https://catalog.cocc.edu/course-outlines/mth-252/
成绩单标题微积分II学分4年级模式标准信年级联系时数总计60授课时数30实验时数30推荐准备MTH 251或至少安排数学24级。向科学、数学和工程专业的学生介绍积分的概念。包括反微分，微积分基本定理，积分技术，数值方法，反常积分和数学建模，应用于几何，物理，经济和人口动力学。图形计算器。学习成果1。使用微积分基本定理来分析问题，包括确定曲线下的面积，曲线之间的面积和函数的平均值。2.在各种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
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数学基础m.．.
工程和物理
https://catalog.cocc.edu/programs/engineering-physics/
.．.推荐制剂:ph202 /212和m251/ 252。本课程涵盖的主题.．.
地质学-俄勒冈大学艺术学院(AAOT)
https://catalog.cocc.edu/programs/geology/geology-aaot/
.．.课程是m111大学代数，m112个三角,m251学我,m252.．.
汽车技术
https://catalog.cocc.edu/programs/automotive-technology/
.．.AUT 115。建议准备:m060或更高.．.查看课程大纲251自动变速器-重建.．.
计算机与信息系统
https://catalog.cocc.edu/programs/computer-information-systems/
.．.科学I(4学分)m112或m251．推荐准备:cs160。检查.．.
森林资源技术/林业
https://catalog.cocc.edu/programs/forest-resources-technology-forestry/
.．.推荐准备:m102年或.．.查看课程大纲251休闲资源管理.．.
生物科学-俄勒冈州艺术学院(AAOT)
https://catalog.cocc.edu/programs/biology/biological-sciences-aaot/
.．.有机化学III，m251微积分I，和m252微积分II.．.
付款和经济援助
https://catalog.cocc.edu/student-resources/payment-financial-aid/
.．.定义为WR，m，以及CIS课程.．.《公法》第115课251的第417条.．.
农业科学(俄勒冈州立大学转专业)重点-副学士(AS)
.．.鼓励m241微积分管理/社会科学或m251微积分我.．.
ENGR 201:电气基础
https://catalog.cocc.edu/course-outlines/engr-201/
.．.推荐的制剂ph202 /212和m251/ 252。描述本文所涵盖的主题.．.
ENGR 202:电气基础2
https://catalog.cocc.edu/course-outlines/engr-202/
.．.小时30推荐制剂ENGR 201和m251/ 252。描述本文所涵盖的主题.．.
