Math 105 –
Arithmetic
Upon successful completion of Arithmetic (Math 105) the student will be able to:
1) Choose the correct arithmetic operation and perform the calculations required to solve applied problems.
2) Perform calculations with, convert between, or compare common fractions, decimals, and percents in the context of applications.
3) Solve problems involving perimeter, area, and volume.
Math 110 –
Introduction to Algebraic Concepts
Upon successful completion of Introduction to Algebraic Concepts (Math 110) the student will be able to:
1) Write algebraic expressions to model relationships involving one operation.
2) Plot points in a Cartesian coordinate system and read bar graphs and line graphs.
3) Perform operations on signed numbers.
Math 112 – Prealgebra
Upon successful completion of Prealgebra (Math 112) the student will be able to:
1) Write algebraic expressions to model relationships involving one operation.
2) Plot points in a Cartesian coordinate system and read bar graphs and line graphs.
3) Perform operations on signed numbers.
Math 115 –
Elementary Algebra
Upon successful completion of Elementary Algebra (Math 115) the student will be able to:
1) Analyze, construct, and interpret graphs of linear equations and apply these abilities to interpret graphs in the real-world.
2) Model and solve real-world mathematics problems stated in words (word problems) whose solutions require formulating and solving either a linear equation with one variable, or a system of two linear equations in two variables.
3) Solve linear and quadratic equations in one variable, and solve equations containing algebraic fractions in one variable.
Math 120 –
Geometry
Upon successful completion of Geometry (Math 120), the student will be able to:
1) Use postulates and theorems involving circles, similar triangles, and parallel lines to determine unknown measurements from given measurements.
2) Use deductive and inductive reasoning, and distinguish between the two types.
3) Classify geometric objects as satisfying or not satisfying a given geometric definition.
4) Employ deductive reasoning (direct and indirect) to construct a geometric proof using the statement and reason format.
Math 125 –
Intermediate Algebra
Upon successful completion of Intermediate Algebra (Math 125) the student will be able to:
1) Represent and analyze basic functions and their applications using tables, graphs, and equations. Use and interpret function notation in both algebraic and graphical contexts.
2) Write and analyze linear models for functions with constant rate of change. Graph linear equations and interpret slope as a rate of change in real world situations. Model problems involving two or more unknowns by writing and solving systems of equations or inequalities.
3) Formulate and analyze quadratic models, such as projectile motion, revenue functions, problems involving area or the Pythagorean theorem, and applications of conic sections, such as planetary orbits.
4) Apply and interpret exponential models such as population growth and compound interest, and logarithmic scales such as pH and earthquake magnitude.
5) Use exponents and radicals to analyze power function models in applications such as direct and inverse variation and allometry (scaling in Physiology).
Math 215 –
Principles of Mathematics I
Upon the successful completion of Principles of Mathematics I (Math 215) (Mathematics for Elementary School Teachers) the student will be able to:
1) Give
clear explanations of both conceptual and procedural basis of arithmetic
algorithms and apply them in several different ways as well as recognize them
in various forms.
2) Students
will be able to use mathematical reasoning and mathematical “common sense” to
analyze conceptual relationships and solve problems.
3) Use
multiple representations (verbal, algebraic, graphical, physical)
of problems and ideas and give clear indication of the connections between
different representations. (e.g. “Borrowing” or “regrouping” using written
notation and also manipulatives.)
4) Illustrate
different representations of fractions (part-whole, ratio, measurement), and
use them to solve problems.
Math 227 –
Statistics
Upon successful completion of Statistics (Math 227) the student will be able to:
1) Interpret graphical displays and numerical summaries of data
2) Identify common sources of (statistical) bias in surveys and experiments
3) Distinguish among measures of central tendency (mean, median, mode) as well as their appropriate applications. In particular, how they can be misused.
4) Construct a correct inference via a confidence interval or a hypothesis test and interpret the results as well as the interconnection between the two inferences.
5) Use a graphing calculator or statistical software for calculations needed for statistical analysis.
Math 238 –
Calculus for Business and Social Science I
Upon successful completion of Calculus for Business and Social Science I (Math 238) the student will be able to:
1) Use and interpret the derivative in algebraic, graphical, and numerical contexts to model and solve problems such as optimization of cost, revenue, and profit.
2) Approximate and interpret the integral in algebraic, graphical, and numerical contexts to model and solve summation application problems such as distance traveled, average value, total change, or producer and consumer surplus.
3) Employ the graphing calculator or other technology to explore mathematical concepts.
4) Use the antiderivative and the Fundamental Theorem of Calculus to demonstrate the connection between derivatives and integrals.
Math 240 –
Trigonometry
Upon successful completion of Trigonometry (Math 240) the student will be able to:
1) Use the trig ratios and the laws of sines and cosines to solve applied problems involving triangles.
2) Graph sinusoidal functions of real numbers and use them to model periodic processes.
3) Use standard trigonometric identities to simplify expressions and to solve trigonometric equations.
4)
Perform
calculations using the exact trig values of the "special angles”, (such as
,
radians, etc.) and distinguish between exact values and
approximations as appropriate.
Math 245 – College
Algebra
(Work in
progress)
Math 260– Precalculus
Upon successful completion of Precalculus (Math 260) the student will be able to:
1) Choose the appropriate basic function (e.g. linear, exponential, trigonometric, power, etc.) to model an applied situation and find the formula for that function.
2) Given functions f(x), g(x), (defined by a formula, graph, table, and/or applied situation), evaluate and interpret the expressions f(x + k), f(x) + k, kf(x), f(kx), and f(g(x)).
3) (work in progress)
Math 261 –
Calculus I
Upon
successful completion of Calculus I (Math 261) the student will be able to:
1) Use and interpret the
derivative in algebraic, graphical, and numerical contexts to model and solve
optimization problems such as marginal analysis (cost, revenue, and profit),
fuel consumption, and shortest travel path.
2) Approximate and
interpret the integral in algebraic, graphical, and numerical contexts to model
and solve summation application problems such as distance traveled, average
value, total change, and areas and volumes of geometrical figures and solids,
respectively.
3) Use and interpret the graph
of the derivative and the graph of the antiderivative
to model real world applications such as position, velocity, and acceleration
of objects.
4) Compute the derivative, antiderivative, and definite integral of standard functions
using various analytical and numerical techniques.
5) Employ the graphing
calculator or other technology to explore mathematical concepts.
6) Use the antiderivative and the Fundamental Theorem of Calculus to
demonstrate the connection between derivatives and integrals.
7) Approximate the
derivative of a function using the limit definition,
and through algebraic, graphical, numerical means and interpret it as a rate of
change.
Math 262 –
Calculus II
Upon successful completion of Calculus II (Math 262) the student will be able to:
1) Construct local power series representations of elementary functions
2) Model and solve an applied problem by formulating a definite integral and approximating its solution using numerical techniques such as Left and Right Riemann sums, Midpoint, Trapezoid, and Simpson’s Rule methods.
3) Model and solve an applied problem by formulating and evaluating a definite integral.
4) Identify and use the appropriate technique of substitution, integration by parts, partial fractions, trigonometric substitution, or limits to compute antiderivatives, definite integrals, and improper integrals.
Math 263 –
Calculus III
Upon successful completion of Calculus III Multivariable Calculus (Math 263) the student will be able to:
1) Use tools such as directional derivatives, the gradient, and optimization to analyze multivariable models of real-world applications.
2) Formulate and evaluate integrals of multivariable functions over a variety of regions.
3) Use the properties and operations of vectors in a variety of settings, including parameterization of surfaces, applications to physics, and vector fields.
4) Formulate and evaluate line and flux integrals, and apply related theorems.
Math 270 – Linear
Algebra
Upon the successful completion of Linear Algebra (Math 270) the student will be able to:
1) Perform elementary matrix and vector operations in Euclidean n-space and use them in applications.
2) Solve a system of linear equations using matrix methods.
3) (work in progress)
Math 275 –
Ordinary Differential Equations
Upon successful completion of Ordinary Differential Equations (Math 275) the student will be able to:
1)
Formulate an appropriate differential equation to model
and solve applied problems. (Setting up a
separable 1st order DiffEQ to solve a
2) Graph the solution of a 1st order differential equation using the slope field technique given an initial condition.
3) Use mathematics software and/or graphing calculator and numerical methods to approximate the solution of a 1st order DiffEQ.
4) Solve higher-order constant-coefficient linear differential equations and systems of differential equations, and use these methods to solve applied problems.
5)
Find