To evaluate the student’s ability in each of the below learning outcomes, the students will complete one or more of the following:
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A student will be able to recognize the meaning of variables and formulas within context and manipulate variable equations.
A student will be able to apply relevant prerequisite math concepts (arithmetic, algebra,
and technology skills) at a higher level.
A student will be able to identify and apply appropriate study strategies to maximize
their learning potential.
A student will be able to transition between numerical, graphical, symbolic, and verbal representations of mathematical ideas at the intermediate algebra level.
A student will be able to apply relevant prerequisite math concepts (arithmetic, algebra,
geometry, and technology skills) at a higher level.
A student will be able to identify and apply appropriate study strategies to maximize
their learning potential.
A student will be able to transition between numerical, graphical, symbolic, and verbal representations of mathematical ideas at the intermediate algebra level.
A student will be able to apply relevant prerequisite math concepts (arithmetic, algebra,
geometry, and technology skills) at a higher level.
A student will be able to identify and apply appropriate study strategies to maximize
their learning potential.
A student will be able to transition between numerical, graphical, symbolic, and verbal representations of mathematical ideas at the intermediate algebra level.
A student will be able to apply relevant prerequisite math concepts (arithmetic, algebra,
geometry, and technology skills) at a higher level.
A student will be able to identify and apply appropriate study strategies to maximize
their learning potential.
A student will be able to use the analytical, numerical, and graphical methods of PreCalculus in solving Calculus I problems.
A student will be able to solve multi-disciplinary application problems and interpret the results in context.
学生将能够应用学习习惯,促进微积分I的成功。
A student will be able to use the analytical, numerical, and graphical methods of PreCalculus in solving Calculus II problems.
A student will be able to solve multi-disciplinary application problems and interpret the results in context.
学生将能够应用学习习惯,促进微积分II的成功。
学生将能够应用微积分所需的相关先决数学概念。
A student will be able to apply appropriate study strategies to maximize their learning potential.
A student will be able to use reasoning techniques and problem solving strategies to categorize and solve a wide range of problems covered in a survey of mathematical topics.
A student will be able to apply Intermediate Algebra skills to solve problems from
survey topics
A student will be able to analyze patterns, and apply visualization and organization
techniques to a range of topics that can be applied to liberal arts courses and life
experiences.
学生将能够使用各种解决问题的策略。
A student will be able to develop their number sense by demonstrating competence in
using different numeration systems.
A student will be able to analyze and contrast the basic operations of the real number
system.
A student will be able to demonstrate proportional reasoning when working with the
rational numbers.
学生将能够展示基本几何词汇的知识。
学生将能够演示统计的基本概念。
学生将能够演示概率论的基本概念。
A student will be able to think logically, using inductive reasoning to formulate
reasonable conjectures and using deductive reasoning for justification, formally or
informally.
A student will be able to use formulas and Pythagorean Theorem to find perimeter,
area and volume.
学生将能够陈述和应用同余和相似属性。
学生将能够在K-8课程中展示几何概念的知识。
A student will be able to identify different strategies that children use to solve mathematics problems.
A student will be able to analyze children’s mathematical thinking by watching videos
and conducting interviews.
学生将能够交流儿童解决数学问题的方法。
A student will be able to categorize data set and use appropriate methods to find, summarize, and visually display statistics about the data set.
学生还将能够解释统计数据的可视化显示。
A student will be able to take sample statistics and use appropriate procedures, methods,
and tests to make inferences about the population.
A student will be able to categorize probability problems and use appropriate theorems
and formulas to solve them.
学生将能够使用适当的技术来分析统计问题。
A student will be able to interpret, communicate, and assess the validity of statistical
processes and conclusions.
A student will be able to categorize trigonometric problems and use appropriate theorems, formulas, and algorithms to solve them.
A student will be able to use the appropriate technology to solve problems requiring
trigonometry.
A student will be able to formulate, analyze, and differentiate trigonometric functions
numerically, graphically, and symbolically and have the ability to transition between
these representations.
A student will be able to communicate the mathematical process and assess the validity
of the solution.
A student will demonstrate proficiency in manipulating algebraic expressions and applying appropriate solution methods.
A student will be able to apply trigonometric concepts to solve problems involving angles, triangles and periodic phenomena, and to analyze real-world situations that require trigonometric reasoning.
A student will be able to demonstrate the ability to graph the basic algebraic and trigonometric functions accurately (including linear, quadratic, radical, exponential, logarithmic, sine, cosine, and tangent functions) and understand how changes in parameters affect the shape, position, and behavior of these graphs.
A student will be able to develop proficiency in utilizing technology (graphing calculator) to enhance understanding and visualization of mathematical concepts covered in this course.
A student will be able to categorize college algebra problems and use appropriate theorems, formulas, and algorithms to solve them.
A student will be able to use the appropriate technology to solve problems requiring
college algebra.
A student will be able to formulate, analyze, and differentiate mathematical functions
numerically, graphically, and symbolically at the college algebra level and have the
ability to transition between these representations.
A student will be able to communicate the mathematical process and assess the validity
of the solution.
学生将能够分析和绘制多项式函数。
A student will be able to categorize precalculus problems and use appropriate theorems, formulas, and algorithms to solve them.
A student will be able to use the appropriate technology to solve problems requiring
precalculus.
A student will be able to formulate, analyze, and differentiate mathematical functions
numerically, graphically, and symbolically at the precalculus level and have the ability
to transition between these representations.
A student will be able to communicate the mathematical process and assess the validity
of the solution.
A student will be able to define and apply the concepts of derivatives and integrals to solve a variety of problems.
A student will be able to demonstrate understanding of the geometric relationship
between a function, its first and second derivatives and its anti-derivatives.
A student will be able to interpret and analyze information to develop strategies
for solving problems in business and behavioral science.
A student will be able to communicate the mathematical process and assess the validity
of the solution.
A student will be able to define and apply the concepts of limits, continuity, derivatives and anti-derivatives to solve a variety of problems.
A student will be able to demonstrate understanding of the geometric relationship
between a function, its first and second derivatives and its anti-derivatives.
A student will be able to interpret and analyze information to develop strategies
for solving problems involving related rates, optimization, work, volumes, arc length,
and surface area.
A student will be able to communicate the mathematical process and assess the validity
of the solution.
A student will be able to apply relevant prerequisite math concepts to calculus problems (algebra, geometry, and trigonometry skills).
A student will be able to identify and apply appropriate study strategies to maximize their learning potential.
学生将能够评估和简化基本逻辑。
A student will be able to define and apply the concepts from elementary number theory
and elementary set theory.
学生将能够应用直接和间接的证明方法。
学生将能够解决计数问题。
学生将能够选择和应用适当的整合技术。
A student will be able to determine the convergence or divergence of sequences and
series.
A student will be able to solve problems involving power series representations of
functions.
A student will be able to analyze and graph polar equations, parametric equations,
and conic sections.
A student will be able to solve problems using polar and parametric equations that
involve tangent lines, arc length, and surface area.
A student will be able to apply relevant prerequisite math concepts to calculus problems (algebra, geometry, and trigonometry skills).
A student will be able to identify and apply appropriate study strategies to maximize their learning potential.
A student will be able to use rectangular, polar, parametric, cylindrical and spherical coordinates to solve a variety of integrals and associated application problems.
A student will be able to analyze, graph and solve equations related to multi-variable
functions.
学生将能够评估,解释和应用高阶偏导数。
A student will be able to analyze and interpret physical examples of vector fields
and vector functions.
A student will be able to characterize and solve a system of linear equations, and determine types of solutions and the existence of a solution.
学生将能够对矩阵及其性质进行分类。
A student will be able to demonstrate and analyze the use of matrix algebra with its
associated properties.
A student will be able to demonstrate and analyze the use of the determinant with
its associated properties.
A student will be able to demonstrate and analyze the use of vector spaces, linear
transformations, eigenvalues and eigenvectors.
A student will be able to analyze, identify, and use appropriate methods, definitions,
and techniques in solving application problems.
A student will be able to categorize differential equations and use appropriate theorems, formulas, and algorithms to solve them.
A student will be able to use the appropriate technology to solve problems requiring
differential equations.
A student will be able to formulate, analyze, and differentiate mathematical conceptions
requiring differential equations and manipulate them numerically, graphically, and
symbolically as well as have the ability to transition between these representations.
A student will be able to communicate the mathematical process and assess the validity
of the solution.
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