MATH 1 – Pre-Calculus
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1.
| Apply concepts of functions to help solve application problems.
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2.
| Solve algebraic equations or simplify expressions that contain compositions of
functions.
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3.
| Express graphically the behavior of rational functions near asymptotes and at
infinity using the concept of the limit. |
MATH 2 – Pre-Calculus with Analytic Geometry
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1.
| Apply concepts of analytic geometry to help solve application problems.
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2.
| Evaluate functions at numerical values and simplify algebraic expressions with
functions evaluated at symbolic values and analyze and simplify compositions of
functions.
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3.
| Establish the behavior of rational functions graphically near asymptotes and at
infinity using the concept of the limit.
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MATH 3A – Calculus I
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1.
| Applications: Construct and solve mathematical models using the derivative.
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2.
| Algebra: Evaluate derivatives of many functions and antiderivatives of simple
functions.
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3.
| Graphs: Generate solutions to quantitative problems using numerical, graphical,
and algebraic methods.
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MATH 3B – Calculus II
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1.
| Applications: Construct antiderivatives of many different types of functions and
solve mathematical models using the integral.
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2.
| Algebra: Reframe functions as power series and test these series for
convergence.
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3.
| Graphs: Generate solutions to problems using parametric and polar
representations of functions.
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MATH 3C – Calculus III
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1.
| Applications: Construct and interpret models of circulation and force using vector
valued functions.
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2.
| Algebra: Evaluate derivatives and integrals of multivariable functions including
the use of Green’s Theorem, Stokes’s Theorem and Gauss’s Theorem.
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3.
| Graphs: Create graphs for multivariable and vector valued functions.
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MATH 3E – Linear Algebra
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1.
| Applications: Diagnose application problems by applying systems of equations to
the problems of curve fitting, electrical circuits, economic models, and
communication technology.
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2.
| Algebra: Modify and solve a system of equations using a variation of Gaussian
Elimination and other methods, including the use of matrices.
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3.
| Graphs: Construct a basis for a vector space, such as the kernel for a given
transformation or the image of a given matrix.
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MATH 3F – Differential Equations
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1.
| Applications: Formulate models for various real-world phenomena using first
order, second order and systems of differential equations.
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2.
| Algebra: Generate solutions to first order, second order and systems of
differential equations using a variety of different techniques Develop approximate
solutions to first order ordinary differential equations numerically and evaluate the
accuracy of these approximations.
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MATH 11 – Discrete Mathematics
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1.
| Design algorithms and compute their efficiency.
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2.
| Defend conclusions by proving mathematical statements inductively and defining
mathematical concepts recursively.
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3.
| Create circuits representing Boolean functions and minimize them using
Karnaugh maps and the Quine-McCluskey method.
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MATH 13 – Introduction to Statistics
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1.
| Create inferences about populations based on data obtained from samples.
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2.
| Decide whether or not a particular analytical methodology is appropriate given a
particular statistical or probabilistic context and justify your response.
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3.
| Formulate analyses of graphical relationships between variables in a sample or a
population.
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MATH 15 – Mathematics for Liberal Arts
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1.
| Applications: Compute, with sophisticated formulas, such quantities as interest
payments for amortized loans.
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2.
| Algebra: Solve, using algebraic methods, various types of measurement
problems, for example: perimeter, surface area and/or volume.
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3.
| Graphs: Analyze, using a graph of an Euler and/or Hamiltonian Circuit, to decide
on the solvability of such types of circuits.
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MATH 16A – Calculus for Business and Life/Social Sciences
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1.
| Applications: Construct and solve mathematical applications related to business
using the derivative.
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2.
| Algebra: Integrate multiple rules of differentiation to compute derivatives of many
functions.
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3.
| Graphs: Analyze the graph of a linear function to identify such quantities as
marginal cost or marginal profit.
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MATH 16B – Calculus for Business and Life/Social Sciences
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1.
| Applications: Determine solutions to optimization problems, for example find
maximum profit from a combination of labor and capital, by applying the method
of Lagrange multipliers.
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2.
| Algebra: Compute derivatives and anti-derivatives of trigonometric functions, and
solve linear differential equations.
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3.
| Graphs: Analyze the graphs of multivariable functions for maximum/minimum
problems – be able to report the max/min of the function as well as the
combination of inputs that correspond to the max/min.
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MATH 50 – Trigonometry
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1.
| Applications: Construct equations involving trigonometric functions to solve
applications.
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2.
| Algebra: Assemble solutions to trigonometric equations.
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3.
| Graphs: Create graphs of trigonometric functions.
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MATH 201 – Elementary Algebra
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1.
| Applications: Formulate a linear model of a real world application and use it to
interpolate/extrapolate. Interpret the slope and y-intercept in the context of the
application.
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2.
| Algebra: Solve a linear equation involving at least two of the following: fractions,
decimals, parentheses, and like terms for a variable.
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3.
| Graphs: Create a linear graph based on given attributes of a line (e.g., two
points, slope and point, slope and y-intercept, etc). Identify key characteristics of
a given linear graph (e.g. slope, y-intercept, x-intercept, etc). (NOTE: include
scaling, table, define variables, etc).
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MATH 202 – Geometry
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1.
| Apply the properties of parallel lines to solve problems.
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2.
| Identify and solve special and similar triangles.
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3.
| Apply the properties of circles and special polygons.
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MATH 203 – Intermediate Algebra
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1.
| Applications: Formulate a nonlinear model (either quadratic or exponential) of a
real world application. Interpret the key characteristics of the graph (vertex,
intercepts, maximum value, minimum value, asymptotes, growth rate, decay rate,
etc.) in the context of the application.
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2.
| Algebra: Solve a nonlinear equation (e.g. quadratic, exponential, logarithmic,
absolute value, radical, rational, etc).
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3.
| Graphs: Create a graph based on a given nonlinear (e.g. quadratic, exponential,
logarithmic, etc) function and identify key characteristics of the graph (e.g.,
vertex, intercepts, maximum value, minimum value, asymptotes, etc).
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MATH 208 – Mathematics for Laboratory Sciences
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1.
| Applications: Estimate dosages, concentrations and dilutions.
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2.
| Algebra: Interpret scientific notation in the context of solving a proportion problem
algebraically.
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3.
| Graphs: Prepare data to be analyzed using a spreadsheet program, in particular,
by use of spreadsheet-generated graphs.
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MATH 213 – Support for Statistics
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1.
| Create inferences about populations based on data obtained from samples
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2.
| For given sampling methods, decide whether or not a particular method of
inference (Hypothesis Test or Confidence Interval) is appropriate and justify the
response.
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3.
| Analyze the relationship between 2 variables, using the tools of linear regression.
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MATH 215 - Support for Pre-Calculus
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1.
| Develop problem solving abilities: Translate words into math language, and
construct an abstract model that describes the problem. (Proof and Deductive
Reasoning skills.
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2.
| Create, write and manipulate complex algebraic expressions and general
functions, and solve algebraic and transcendental equations. (Compute, simplify
and solve.)
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3.
| Analyze information, and create a graph that is correctly titled and labeled,
appropriately designed, and accurately emphasizes the most
important/interesting characteristics of the graph.
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MATH 216 - Support for Trigonometry
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1.
| Using reference triangles in the plane, students will be able to find exact values
of all six trigonometric ratios (of any angle measure).
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2.
| Analyze information, and create a graph that is correctly titled and labeled,
appropriately designed, and accurately emphasizes the most important aspects.
(Graphing skills).
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3.
| Develop problem solving abilities: Translate words into math language, and
construct an abstract model that describes the problem. (Proof and Deductive
Reasoning skills).
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MATH 221 – Technical Mathematics (Lecture)
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1.
| Applications: Solve application word problems related the career technical fields.
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2.
| Algebra: Solve equations in one variable and/or two variables in the context of
real world applications.
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3.
| Calculate the lengths of sides, perimeter, area and volume of a geometric figure.
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MATH 253 – Pre-Algebra
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1.
| Applications: Solve simple real-world application problems involving percentages.
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2.
| Algebra: Solve basic linear equations.
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3.
| Simplify expressions using order of operations.
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MATH 261 – Pre-Algebra Foundations
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1.
| Applications: Solve application problems that deal with percentages or
proportions.
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2.
| Algebra: Simplify expressions and solve linear equations.
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3.
| Graphs: Read and interpret graphs.
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