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管理微积分/社会科学(4学分)

建议准备:m 111或者至少安排数学20级

为管理和社会科学专业的学生介绍微积分和积分的基本概念。包括多项式、对数和指数函数的基本微分和积分，以及它们在商业、管理和社会科学中的应用。使用绘图技术。

管理/社会科学微积分

https://catalog.cocc.edu/course-outlines/mth-241/

成绩单标题Mgmt微积分/Soc科学学分4年级模式标准信级联系学时总计40授课学时40推荐准备MTH 111或至少安排数学20级。为管理和社会科学专业的学生介绍微积分和积分的基本概念。包括多项式、对数和指数函数的基本微分和积分，以及它们在商业、管理和社会科学中的应用。使用绘图技术。学习成果1。应用微积分概念来解决来自一般、社会和管理科学的应用。2.在应用程序的上下文中解释解决方案。3.将微分和积分的基本技术应用到多项式、有理、指数和对数函数中，以研究一般、社会和管理科学中数学模型的行为。 4. Apply topics and skills from calculus in conjunction with graphing technology to investigate and interpret graphs of models. Content outline Students will use mathematical functions to model both real-world and theoretical applications from the general, social, and management sciences, applying appropriate calculus concepts to solve those applications, to judge if the results are reasonable, and to interpret and clearly communicate the results. Find average rates of change for functions presented in graphical, tabular, or symbolic form. Estimate instantaneous rates of change for functions presented in graphical, tabular, or symbolic form. Solve and interpret applications of rates of change and the derivative, including marginal cost, revenue, and profit. Solve and interpret applications of extrema, concavity, and curve sketching. Solve and interpret applications of extrema including optimization and elasticity. Solve and interpret applications of derivatives including present and future values. Determine or estimate the total change in a function when the derivative of the function is presented in graphical, tabular, or symbolic form. Solve and interpret the practical meaning of the integral in appropriate applications such as consumer and producer surplus. Students will apply the basic techniques of differentiation and integration to polynomial, rational, exponential, and logarithmic functions to investigate the behavior of mathematical models from the general, social, and management sciences. Determine or estimate the limit at a point (from the left, from the right, and two-sided) for functions presented in graphical, tabular, or symbolic form. Identify points of discontinuity for functions presented in graphical or symbolic form. Identify intervals of continuity for functions presented in graphical form. Estimate derivative values for functions presented in graphical, tabular, or symbolic form. Identify the local extrema and the intervals over which a function is increasing, decreasing, or constant. Identify the concavity and points of inflection for a function. Determine the shape of a function from numerical information about that function’s first and second derivatives. Utilize the power, sum, and difference rules to differentiate polynomial, rational, and exponential functions. Use the rules for finding the family of antiderivatives of: polynomial functions exponential functions f(x)=1/x Find left-hand and right-hand Riemann sums for functions presented in graphical, tabular, or symbolic form. Evaluate definite integrals using the Fundamental Theorem of Calculus. Apply topics and skills from calculus in conjunction with graphing technology to investigate and interpret graphs of models. Sketch the graph of the derivative for functions presented in graphical form. Determine the shape of a function from graphical information about that function’s first and second derivatives. Estimate average rate of change, instantaneous rate of change and total change using function graphs. Required materials This course may require 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