文本标题

中级代数

学分

4

分级模式

标准字体的成绩

总接触时间

40

讲座时间

40

建议准备

m 06010或最低位置的数学水平。

课程描述

继续研究大学水平所需的代数基础代数。包括多项式、指数、激进和理性的表达式。线性和二次函数将被用于模型情况下和解释数据。了解叙事之间的联系、数值代数,并强调功能的图形化表达。手工绘图和使用适当的技术实现。图形计算器要求(ti - 83或ti - 84推荐)。

课程学习成果

1。代数简化多项式,指数、激进和理性的表达式。
2。用代数方法解决二次平方根方程。
3所示。识别、评估和分析功能的使用语言,图形,代数,数值表示。
4所示。创建、解释和使用功能模型进行估计和预测。
5。图形化表示和分析线性和二次函数手工或使用适当的技术。

内容概述

1。代数简化多项式,指数、激进和理性的表达式。•简化多项式表达式,包括但不限于知道适当的术语,执行操作(加、减、乘、除单项)•简化指数表达式,包括但不限于规则和属性指数(乘法法则、电力产品、除法法则,商权力,权力规则,和零指数),负整数指数,理性指数•简化激进的表达式,包括但不限于评估完美根没有技术和非理性根源与近似技术,根底片使用我编写•简化理性的表达,包括使用保理来简化和执行基本操作2。用代数方法解决二次平方根方程。解二次方程,包括但不限于使用各种方法的保理,平方根财产,二次公式。确定最有效的方法求解一个二次方程,包括那些导致真正的和复杂的解决方案。•解决根方程,包括但不限于平方根方程在一个变量和文字平方根方程。3所示。识别、评估和分析功能的使用语言,图形,代数,数值表示。•识别功能,包括但不限于确定关系是一个函数和探索的图形化表达功能超出了线性和二次(高阶多项式、绝对值和的平方根)。 • Evaluate Functions using function notation correctly to evaluate given a graph or an equation. • Analyze Functions by describing domain and range, increasing/decreasing behavior, and determine if a function is linear, quadratic, or neither from a table of values, a graph, and an equation. 4. Create, interpret, and use function models to make estimates and predictions. • Create function models from verbal descriptions, creating scatterplots and analyzing trends, finding linear and quadratic regression equations with technology, and identifying and describing when and why model breakdown occurs. • Interpret the meaning of function model, including but not limited to defining variables, describing the meaning of specific terms of a linear model, identifying dependent and independent variables and describing the meaning of any ordered pair and of a point of intersection for a system of equations model. • Using function models to make estimates and make predictions for linear and quadratic functions, determining the minimum or maximum value of a quadratic model graph determining zero output(s) of a function model graph, and determining points of intersection from the graph of a system of equations using technology. 5. Graphically represent and analyze linear and quadratic functions by hand or using technology as appropriate. • Graphically represent functions by hand, including but not limited to appropriate scales, labeling axes, units, identifying and label ordered pairs of intercepts and other important graph features such as the vertex and axis of symmetry, and correctly drawing linear and quadratic graphs. • Graphically represent functions using technology, including but not limited to inputting functions into a graphing utility, algebraically solving for y when necessary, displaying graphs in an appropriate viewing window and creating an accurate and appropriate sketch on paper of a graph originally created using technology. • Graphically analyze linear and quadratic functions, including but not limited to evaluating linear and quadratic functions using technology, finding intercepts using technology, recognizing that quadratic functions are second degree polynomials and graph as parabolas, describing the relationship between the x-intercepts of the graph of a function and the solutions of the related quadratic equation, analyzing quadratic functions given in standard form.

所需的材料

图形计算器要求(ti - 83或ti - 84推荐)。要求学生有一个许可证基于web的软件包括一个e文。论文的副本教科书是可选的。