-
Apply mathematical problem solving skills.
Assessment Strategies
by completing and submitting for evaluation all in-class and take-home quizzes, tests, projects, graded assignments, and laboratory work with passing grades according to the grading scale contained in the syllabus
by demonstrating correct and accurate use of the scientific calculator on all assignments, quizzes, tests, projects, and laboratory work when appropriate
by active participation in class discussion and activities
Criteria
the learner shows work in a clear and logical manner
the learner verifies a solution
the learner verifies that the solution is within the stated range and reflects appropriate accuracy or precision
the learner labels the solution with appropriate units
-
Review derivatives of a function.
Assessment Strategies
by completing and submitting for evaluation all in-class and take-home quizzes, tests, projects, graded assignments, and laboratory work with passing grades according to the grading scale contained in the syllabus
by demonstrating correct and accurate use of the scientific calculator on all assignments, quizzes, tests, projects, and laboratory work when appropriate
by active participation in class discussion and activities
Criteria
the learner determines derivatives using the power rule
the learner determines derivatives using the product and quotient rules
the learner determines derivatives using the chain rule
the learner determines derivatives of logarithmic and exponential functions
the learner computes velocity, speed, and acceleration
the learner performs marginal analysis
the learner computes derivative implicitly
the learner computes higher order derivatives
the learner solves problems involving related rates
the learner determines the extrema and points of inflection of a function
the learner solves applied optimization problems
-
Review integration methods.
Assessment Strategies
by completing and submitting for evaluation all in-class and take-home quizzes, tests, projects, graded assignments, and laboratory work with passing grades according to the grading scale contained in the syllabus
by demonstrating correct and accurate use of the scientific calculator on all assignments, quizzes, tests, projects, and laboratory work when appropriate
by active participation in class discussion and activities
Criteria
the learner solves initial value problems
the learner integrates using substitution
the learner integrates by parts
the learner integrates by using the method of partial fractions
the learner determines definite integrals
the learner uses the Fundamental Theorem of Calculus to integrate
the learner determines the total function given a marginal function
the learner determines the area between two functions
the learner determines the average value of a function
the learner determines present and future value of revenue streams
the learner solves problems involving the logistical growth
the learner computes improper integrals
-
Apply the methods of calculus to functions of several variables.
Assessment Strategies
by completing and submitting for evaluation all in-class and take-home quizzes, tests, projects, graded assignments, and laboratory work with passing grades according to the grading scale contained in the syllabus
by demonstrating correct and accurate use of the scientific calculator on all assignments, quizzes, tests, projects, and laboratory work when appropriate
by active participation in class discussion and activities
Criteria
the learner generalizes the rectangular planar coordinate system into three dimensional space
the learner computes distance in three dimensional space
the learner determines if a surface is a function
the learner determines the equation of a plane in space
the learner computes symbolically the partial derivatives of multivariable functions
the learner computes the equation of a tangent plan to a surface in space
the learner solves applied problems involving partial derivatives
the learner analyzes multivariable functions for maxima and minima
the learner analyzes multivariable functions for saddle points
the learner models data using the method of least squares
the learner solves constrained optimization problems using Langrangian multipliers
the learner tests for optimality of solutions in a constrained optimization problem
the learner solves problems involving multiple integrals
-
Solve differential equations.
Assessment Strategies
by completing and submitting for evaluation all in-class and take-home quizzes, tests, projects, graded assignments, and laboratory work with passing grades according to the grading scale contained in the syllabus
by demonstrating correct and accurate use of the scientific calculator on all assignments, quizzes, tests, projects, and laboratory work when appropriate
by active participation in class discussion and activities
Criteria
the learner recognizes a differential equation
the learner determines the order of a differential equation
the learner uses Euler's Method to approximate the solution of a differential equation
the learner determines the steady-state solution to a differential equation
the learner solve applied problems involving differential equations
the learner solve difference equations
-
Analyzes infinite sequences and series.
Assessment Strategies
by completing and submitting for evaluation all in-class and take-home quizzes, tests, projects, graded assignments, and laboratory work with passing grades according to the grading scale contained in the syllabus
by demonstrating correct and accurate use of the scientific calculator on all assignments, quizzes, tests, projects, and laboratory work when appropriate
by active participation in class discussion and activities
Criteria
the learner determines the limit of an infinite sequence
the learner analyzes infinite series
the learner applies convergence tests
the learner determines conditional or absolute convergence
the learner analyzes power series
the learner identifies the nth term of a sequence
the learner determines if an infinite sequence is convergent or divergent
the learner determines the limit of a convergent sequence
the learner identifies geometric series
the learner determines the sum of a geometric series when it is convergent
the learner determines the Taylor series of a function
the learner uses Taylor polynomials to calculate limits
the learner uses Newton's Method to approximate the solution to a function
the learner applies L'Hopital's Rule to determine the limit of an indeterminate form
-
Perform statistical analysis of data.
Assessment Strategies
by completing and submitting for evaluation all in-class and take-home quizzes, tests, projects, graded assignments, and laboratory work with passing grades according to the grading scale contained in the syllabus
by demonstrating correct and accurate use of the scientific calculator on all assignments, quizzes, tests, projects, and laboratory work when appropriate
by active participation in class discussion and activities
Criteria
the learner understands the basic terminology of statistics
the learner determines the sample space
the learner determines probabilities of events
the learner determines if a random variable is discrete or continuous
the learner determines the mean and standard deviation of a random variable
the learner computes probabilities for normal random variables
the learner computes probabilities for binomial random variables
the learner computes probabilities for Poison random variables
-
Introduction to Linear Programming.
Assessment Strategies
by completing and submitting for evaluation all in-class and take-home quizzes, tests, projects, graded assignments, and laboratory work with passing grades according to the grading scale contained in the syllabus
by demonstrating correct and accurate use of the scientific calculator on all assignments, quizzes, tests, projects, and laboratory work when appropriate
by active participation in class discussion and activities
Criteria
the learner defines the objective function, and constraints of a linear programming problem
the learner solves linear programming problems graphically
the learner defines basic variables, slack variables, artificial variables, pivots and indicators in a linear programming problem from the last tableau
the learner writes a linear programming problem in standard form
the learner determines the solution of a linear programming problem from the last tableau
the learner solves linear programming maximization problems using the simplex method
the learner solves linear programming minimization problems using the simplex method
the learner defines and uses the dual of a linear programming problem to solve problems
the learner solves non-standard problems using linear programming methods
the learner solves linear programming application problems