Math 20

Upon completion of this course, the student will be able to:

• compute with accuracy problems involving the basic operations of arithmetic (addition, subtraction, multiplication, division, exponents, order of operations) on whole numbers, fractions, and decimals.
• convert numeric information into any of the three forms: fraction, percent, decimal.
• solve computation problems involving ratios, proportions, and percents.
• solve applied problems involving whole numbers, fractions, decimals, proportions, measurement, and percents.
• convert measurement units between English and Metric using multiplication, division, and unit fractions.

Math 30

Upon completion of this course, the student will be able to:

• simplify expressions with rational coefficients.
• solve linear equations and inequalities in one variable involving rational numbers.
• solve applied problems using rational numbers, variable expressions, scientific notation, equations, geometric formulas, measurement conversions, proportions, and percent.
• graph linear inequalities in one variable and linear equations in two variables

Math 100

Upon completion of this course, the student will be able to:

• evaluate and expand polynomial expressions (including expressions written in scientific notation).
• report solutions to polynomial operations involving addition, subtraction, multiplication, and division.
• record factors of polynomial expressions by removing common factors, factoring difference of square expressions, and factoring trinomial expressions including perfect square trinomials.
• apply rules of exponents (including negative exponents) in the simplification of algebraic expressions.
• solve linear equations, linear formulas (of more than one variable), linear inequalities, and 2x2 systems of linear equations.
• produce graphs of solution sets of linear equations and linear inequalities in two variables.
• evaluate and simplify radical expressions and solve equations involving these.
• solve application problems using algebraic expressions, algebraic equations, algebraic inequalities, and graphing techniques.
• solve quadratic equations by factoring and using the quadratic formula.

Math 112

Upon completion of this course, the student will be able to:

• produce constructions using a straight edge and compass such as drawing congruent figures, perpendicular and parallel lines, and bisectors of angles and segments.
• apply geometry theorems about similarity and congruence to set up equations to compute unknown angle measures and unknown lengths of segments.
• apply formulas for geometric measurement in one, two, and three dimensions involving lengths, areas, and volumes of geometric figures.
• prove geometry theorems using direct (two-column) proofs and also using indirect proofs.

Math 120

Upon completion of this course, the student will be able to:

• solve equations involving polynomial, rational, absolute value, radical, exponential, or logarithmic expressions.
• graph and perform simple transformations (translations, reflections, and scale factors) on linear, quadratic, exponential, logarithmic, simple rational, and simple polynomial functions.
• demonstrate the ability to appropriately use function notation, terminology, and operations.
• solve application problems using intermediate context-appropriate models.

Stats 300

Upon completion of this course, the student will be able to:

• use the concepts of descriptive statistics to display and analyze univariate and bivariate data.
• distinguish between probability models appropriate to different chance events, and calculate probability according to these methods.
• compute probabilities from both discrete and continuous probability distributions.
• apply inferential statistical methods to estimate and compare population parameters, make predictions, and draw conclusions

Math 310

Upon completion of this course, the student will be able to:

• explore new branches of mathematics by recognizing connections and patterns to previously encountered topics.
• solve applied problems by recognizing connections between methods of solution employed in various mathematical fields.
• develop and explain a mathematical solution to a problem not previously encountered by the student.
• explore a mathematical problem independently, extending their solution to questions not necessarily posed by the instructor

Math335

Upon completion of this course, the student will be able to:

• interpret trigonometric functions in working with right triangles, general triangles, general angles, and arcs of the unit circle.
• evaluate, expand, and simplify algebraic, logarithmic, exponential, and trigonometric expressions and solve equations (and prove identities) involving these expressions.
• graph and analyze trigonometric, polynomial, rational, absolute value, exponential, and logarithmic functions, as well as conic sections, including algebraic transformations.
• solve application problems (from calculus or science) involving trigonometric, polynomial, rational, exponential, and logarithmic functions.

Math 350

Math 351

Math 370

Upon completion of this course, the student will be able to:

• solve equations/inequalities involving polynomial, logarithmic, exponential, and trigonometric expressions.
• graph and analyze polynomial, rational, absolute value, radical, exponential, logarithmic, and trigonometric functions using algebraic transformations.
• apply the properties of vectors, matrices, sequences, series, the polar coordinate system, and the binomial theorem to calculus or science problems.
• prove mathematical facts using algebraic manipulation, fundamental trigonometric identities, direct proof, indirect proof, and the principle of mathematical induction.
• solve applied problems using functions, vectors, matrices, sequences and series.

Math 400

Upon completion of this course, the student will be able to:

• calculate limits and derivatives of algebraic and transcendental functions using a variety of techniques.
• graph algebraic and transcendental functions using information from limits and derivatives.
• solve applied problems (including related rates and optimization problems) using derivatives.
• apply the Fundamental Theorem of Calculus and appropriate substitution techniques to evaluate integrals.
• prove calculus theorems related to limits and derivatives.

Math 401

Upon completion of this course, the student will be able to:

• utilize a variety of algebraic and trigonometric techniques to evaluate integral expressions.
• apply integration to problems involving volume, centers of mass, and work.
• analyze infinite series, power series, and Taylor polynomials.
• apply differentiation and integration techniques to equations in parametric and polar form.
• prove selected calculus theorems related to first year calculus.

Math 402

Upon completion of this course, the student will be able to:

• compute the curvature at any point on a space curve using vector operations.
• optimize a multivariate function on a space curve or plane region.
• utilize multiple integrals using rectangular, polar, cylindrical, or spherical coordinates in problems involving volume, moments, and mass.
• set up and evaluate line and surface integrals.
• apply Green’s Theorem, Stokes’, Theorem, and the Divergence Theorem to physics and engineering applications.

                                                                                                        Math 410

                                                        Upon completion of this course, the student will be able to:

• solve a variety of systems of equations using matrices.
• demonstrate an understanding of the connecting thread of relationships between systems of equations, matrices, determinants, vectors, linear transformations, and eigenvalues.
• demonstrate an understanding of abstract concepts such as multidimensional vector spaces, subspaces of vector spaces and the relationship between matrices and n-tuples.
• prove elementary theorems of basic linear algebra.

Math 420

Upon completion of this course, the student will be able to:

• solve a variety of ordinary differential equations using techniques such as reduction of order, method of undetermined coefficients, variation of parameters, power series, and Laplace transforms.
• analyze, model, and solve elementary applied science problems such as Newton's Law of Cooling, mixing, falling bodies, and Newton's Second Law of Motion with ordinary differential equations.
• identify differential equations such as linear, separable, exact, and Cauchy-Euler.
• solve systems of linear differential equations.