# Student Learning Outcomes

Course Number Course Outcome
Math 245A Transition to Advanced Mathematics^ Math students feel they have the resources necessary for their success. ^ Perform set operations using union, intersection, complementation, and DeMorgan's Laws. ^ Students will feel that mathematics is a beneficial part of their education ^ Use techniques such as contradiction and contrapositive to prove statements. ^ Use the Axiom of Choice to prove statements pertaining to the cardinality of a set. Apply the Axiom of Choice to prove the Comparability Theorem. ^ Use the Bolzano-Weierstrass Theorem to prove statements involving accumulation points and limit points. ^ Use the Heine-Borel Theorem to prove statements involving compact sets. ^ Write proofs involving one-to-one functions, onto functions, preimage, and inverse image. ^ Write proofs involving the well-ordering principle and mathematical induction. ^ Write proofs pertaining to finite sets, countable sets, and uncountable sets. Apply the Bernstein-Schroder Theorem to prove the equivalence between sets. ^ Write proofs pertaining to relations, equivalence relations, partitions, and equivalence classes.
Math 180Calculus and Analytic Geometry^ Apply derivatives to rates of change and related rates problems, linear approximations and differentials, increasing and decreasing functions, maximum and minimum values, inflections and concavity, graphing, optimization problems, and Newton's Method. Apply the Mean Value Theorem in example problems. Use L'Hospital's Rule to evaluate limits of indeterminate forms. Use a Computer Algebra Systems in applications of calculus. ^ Compute first and higher order derivatives of polynomial, exponential, logarithmic, trigonometric, and inverse trigonometric functions. Evaluate derivatives using the product, quotient and chain rules and implicit differentiation. ^ Evaluate indefinite integrals and definite integrals using the Fundamental Theorem of Calculus. Evaluate integrals using the substitution rule and integration by parts. ^ Math students feel they have the resources necessary for their success. ^ Prove limits using properties of limits and solve problems involving the formal definition of the limits. Solve problems involving continuity of functions. Evaluate limits at infinity and represent these graphically. Use limits to find slopes of tangent lines, velocities, other rates of change and derivatives. ^ Represent functions verbally, algebraically, numerically and graphically. Construct mathematical models of physical phenomena. Graph functions with transformations. Use logarithmic and exponential functions in applications. Solve calculus problems using a computer algebra system. ^ Students can compute instantaneous rates of change in applications ^ Students can differentiate algebraic and transcendental functions ^ Students can evaluate integrals of elementary functions using the method of substitution. ^ Students can solve optimization problems. ^ Students will feel that mathematics is a beneficial part of their education
Math 181Calculus and Analytic Geometry^ Determine representations of functions as power series including Taylor and Maclaurin series. ^ Differentiate hyperbolic functions and integrate functions that result in hyperbolic forms. ^ Evaluate indefinite and definite integrals (proper and improper) using integration by parts, trigonometric identities and substitutions, partial fractions, tables, computer algebra systems, and numerical techniques. ^ Math students feel they have the resources necessary for their success. ^ Plot curves parametrically and in polar coordinates, using calculus to compute associated areas, arc-lengths, and slopes. ^ Solve separable differential equations with applications. ^ Students can apply the definite integral to applications. ^ Students can describe objects algebraically and geometrically in various 2- or 3-dimensional coordinate systems. ^ Students can determine convergence of infinite series of various forms using various techniques. ^ Students can integrate algebraic and transcendental function using a variety of techniques ^ Students will feel that mathematics is a beneficial part of their education ^ Test for convergence for sequences and series using the integral, comparison, alternating series, ratio, and root tests. ^ Use definite integrals to calculate areas between curves, volumes - including solids of revolution, work, the mean value of functions, arc lengths, areas of surfaces of revolution, moments, centers of mass, and other physics applications. ^ Use power series in applications.
Math 280Calculus and Analytic Geometry^ Compute directional derivatives and the gradient vector, solve application problems using their properties. ? ^ Compute domain of functions of several variables, plot surfaces, level curves and level surfaces for functions of several variables. ? ^ Compute the equations for tangent planes and normal lines to surfaces.? ^ Compute the total differential for a function of several variables, and apply this to error estimation. ^ Determine differentiability and evaluate partial derivatives, including the use of Chain Rule. ^ Evaluate limits for functions of several variables and test for continuity.? ^ Identify and classify extrema and saddle points of functions of several variables, using the second partials test. ^ Math students feel they have the resources necessary for their success. ^ Perform vector operation, including linear combinations, dot and cross products and projections. ^ Plot and parameterize space curves, compute velocity and acceleration vectors, decompose acceleration vector into normal and tangential components, compute arc length and curvature.? ^ Plot points, graph cylinders and quadric surfaces, computer distances and give equations of lines and planes in three dimensional rectangular, cylindrical and spherical coordinate systems. ^ Students can analytically describe the physical states of objects with mass traveling in three dimensions. ^ Students can apply partial derivatives to optimization problems. ^ Students can compute partial and directional derivatives for functions of several variables ^ Students can evaluate multiple integrals to compute volumes, surface areas, moments and centers of mass, flux, and work. ^ Students will feel that mathematics is a beneficial part of their education
Math 140Calculus for Business^ Analyze a variety of applied problems using calculus. ^ Apply calculus techniques to analyze functions of several variables. ^ Apply the definition of continuity. ^ Apply the derivative to curve sketching, related rates, and optimization problems. ^ Determine the first and higher-order derivatives for functions (algebraic, exponential, logarithmic and combinations of these), explicitly and implicitly. ^ Evaluate the limit of a function. ^ Math students feel they have the resources necessary for their success. ^ Select and use the appropriate integration technique suitable to given problems. ^ Solve real-life problems using the Fundamental Theorem of Calculus. ^ Solve separable differential equations. ^ Students will feel that mathematics is a beneficial part of their education ^ Students will understand the use of the derivative and be able to accurately differentiate a given function as suggested by the notation and/or the wording of the problem. ^ Students will understand the use of the integral and will be able to accurately integrate a given function as suggested by the notation and/or the wording of the problem.
Math 130College Algebra^ Analyze a variety of applied problems (including variation problems) and work with the resulting equation or function to respond to the problem, using complete sentence responses. ^ Demonstrate properties of matrices. ^ Expand powers of binomials using the Binomial Theorem. ^ Graph functions and relations, including polynomial, rational, exponential and logarithmic functions (using transformations when appropriate). ^ Math students feel they have the resources necessary for their success. ^ Perform operations with functions including composition and determine the domain, range and inverse of a function. ^ Prove statements using mathematical induction. ^ Recognize patterns in sequences and series (arithmetic and geometric) to determine terms and find sums, using sigma notation as appropriate. ^ Simplify expressions, including polynomial, rational, radical, exponential and logarithmic. ^ Solve equations and inequalities, including linear, higher-order polynomial, rational, radical, exponential, logarithmic and literal. ^ Solve systems of equations (linear and non-linear) by methods of substitution, elimination, graphing and matrices. ^ Students will feel that mathematics is a beneficial part of their education
Math 51Elementary Algebra^ Communicate effectively in mathematical language. ^ Develop problem-solving techniques by solving a wide variety of applications. ^ Graph solutions of linear equations in the Cartesian Coordinate System. ^ Math students feel they have the resources necessary for their success. ^ Perform operations with polynomials including adding, subtracting, multiplying, dividing, and factoring. ^ Simplify algebraic expressions including linear, quadratic, rational, and radical. ^ Solve and graph solutions of linear inequalities in one and two variables. ^ Solve linear equations and inequalities, rational equations, and equations involving radicals. ^ Solve quadratic equations using the methods of factoring, completing the square, and the quadratic formula. ^ Solve systems of linear equations. ^ Students will be able to factor a wide variety of polynomials. ^ Students will be able to solve a wide variety of equations without being given the type of equation. ^ Students will feel that mathematics is a beneficial part of their education ^ Write equations of lines given specific information about the line.
Math 51AElementary Algebra - First Half^ Communicate effectively in mathematical language. ^ Develop problem solving skills. ^ Math 51 students will be able to solve a linear equation. ^ Math students feel they have the resources necessary for their success. ^ Perform operations with polynomials, including adding, subtracting, multiplying, dividing, and factoring. ^ Simplify algebraic expressions, including linear and rational. ^ Solve linear equations and inequalities. ^ Solve rational equations. ^ Students will be able to factor a wide variety of polynomials. ^ Students will be able to solve a wide variety of equations without being given the type of equation. ^ Students will feel that mathematics is a beneficial part of their education
Math 51BElementary Algebra - Second Half^ Communicate effectively in mathematical language. ^ Develop problem solving techniques by solving a wide variety of applications. ^ Graph solutions of linear equations in the Cartesian Coordinate System. ^ Math students feel they have the resources necessary for their success. ^ Perform operations with polynomials including adding, subtracting, multiplying, dividing, and factoring. ^ Simplify algebraic expressions including linear, quadratic, rational, and radical. ^ Solve and graph solutions of linear inequalities in one and two variables. ^ Solve linear equations and inequalities, rational equations, and equations involving radicals. ^ Solve quadratic equations using methods of factoring, completing the square, and the quadratic formula. ^ Solve systems of linear equations. ^ Students will be able to solve a wide variety of equations without being told what type of equation they are solving. ^ Students will feel that mathematics is a beneficial part of their education ^ Write the equation of a line given specific information about the line.
Math 110Elementary Statistics^ Define basic statistical terms and notation. ^ Describe the distributions of quantitative data in terms of center, shape, and spread. ^ Describe the proper methods of sampling. ^ Determine the appropriate statistical methods by data type and number of populations or treatments. ^ Employ the principles of inferential statistics in estimation and hypothesis testing. ^ Explain the basic concepts of probability theory and calculate probabilities. ^ Infer from observational and experimental studies. ^ Math 110 students will demonstrate the ability and willingness to take the steps necessary to succeed in their math class. ^ Math 110 students will demonstrate the thinking skill of accurate self-assessment. ^ Math 110 students will feel comfortable in their math class. ^ Math 110 students will feel that mathematics is a beneficial part of their education. ^ Math 110 students will feel they have the resources necessary for their success. ^ Students will be able to determine descriptive statistics from a sample ^ Students will be able to use sample statistics to develop a confidence interval for population parameters ^ Using bivariate data, students will be able to determine whether a significant linear correlation exists between two variables and determine the equation of the regression line. ^ Using sample statistics from one or more samples, students will be able to test a claim made about a population parameter. ^ Utilize computer technology in statistical analyses. ^ Utilize statistical techniques with a variety of applications that pertain to business, the social, natural and physical sciences.
Math 110HElementary Statistics -Honors^ Define basic statistical terms and notation. ^ Demonstrate ability to combine appropriate data gathering techniques and ability to express statistical conclusions in formal writing to complete a large, semester-long project. ^ Describe the distributions of quantitative data in terms of center, shape, and spread. ^ Describe the proper methods of sampling. ^ Determine the appropriate statistical methods by data type and number of populations or treatments. ^ Employ the principles of inferential statistics in estimation and hypothesis testing. ^ Explain the basic concepts of probability theory and calculate probabilities. ^ Infer from observational and experimental studies. ^ Math 110H students will demonstrate the ability and willingness to take the steps necessary to succeed in their math class. ^ Math 110H students will demonstrate the thinking skill of accurate self-assessment. ^ Math 110H students will feel comfortable in their math class. ^ Math 110H students will feel that mathematics is a beneficial part of their education. ^ Math 110H students will feel they have the resources necessary for their success. ^ Students will be able to determine descriptive statistics from a sample. ^ Students will be able to use sample statistics to develop a confidence interval for population parameters ^ Using bivariate data, students will be able to determine whether a significant linear correlation exists between two variables and determine the equation of the regression line. ^ Using sample statistics from one or more samples, students will be able to test a claim made about a population parameter ^ Utilize computer technology in statistical analyses. ^ Utilize statistical techniques with a variety of applications that pertain to business, the social, natural and physical sciences.
Math 120Finite Mathematics^ Analyze, organize, and interpret numerical data. ^ Apply formulas for calculating interest, present value, annuities, and sinking funds, as well as determine payments and lump sum deposits. ^ Apply linear programming techniques for maximizing and minimizing linear functions. ^ Apply techniques of mathematical modeling to problems from business, economics and social sciences using formulas, graphs, and systems of equations. ^ Develop models that use Markov chains to study patterns for the future and to make predictions. ^ Formulate probabilistic models and calculate the probability of various events. ^ Math students feel they have the resources necessary for their success. ^ Propose appropriate counting models involving sets, permutations, and combinations for situations where straightforward counting is impractical. ^ Students will be able to solve a binomial probability distribution problem. ^ Students will be able to solve a linear programming problem using the geometric approach ^ Students will feel that mathematics is a beneficial part of their education ^ Translate large amounts of real life data into mathematical models involving matrices, and use matrix theory to manipulate data.
Math 70SIntegrated Intermediate Algebra^ Answer questions regarding observational and experimental statistical studies. ^ Graph functions of linear, quadratic, radical, exponential, and logarithmic forms. ^ Solve linear inequalities. ^ Solve linear, quadratic, rational, radical, exponential, and logarithmic equations. Solve linear systems of equations. ^ Solve problems involving the interpretation of linear, quadratic, rational radical, exponential and logarithmic graphs. ^ Solve problems involving the simplification of linear, quadratic, rational, radical, exponential and logarithmic functions. ^ Students will describe the characteristics of the distribution of a quantitative variable. ^ Students will distinguish observational from experimental research studies and give appropriate conclusions to them. ^ Students will graph linear equations. ^ Summarize univariate statistical data graphically and numerically. ^ Use correct statistical terminology and notation.
Math 110SIntegrated Statistics^ Compute probabilities from continuous probability distributions ^ Determine probabilities, mean, standard deviation from discrete and probability distributions ^ Distinguish between data types and appropriate numerical and graphical summaries ^ Distinguish between experimental and observational studies and appropriate conclusions ^ Explain the basic concepts of probability theory and calculate probabilities. ^ Perform statistical inference for estimation and hypothesis testing. ^ Students will be able to use sample statistics to develop a confidence interval for population parameters. ^ Use correct statistical terminology and notation. ^ Using bivariate data, students will be able to determine the strength, form, and direction (when linear) of a relationship between two variables. ^ Using sample statistics from one or more samples, students will be able to test a claim made about a population parameter. ^ Utilize computer technology to aide in the solution of statistical analyses. ^ Validate methods of sampling
Math 71Intermediate Algebra^ Add, subtract, multiply, divide, and factor polynomials. ^ Apply the binomial theorem. ^ Construct, interpret and analyze graphs for the following: linear and quadratic equations, conic sections, linear inequalities, exponential and logarithmic functions, and both linear and non-linear systems. ^ Define a function and its domain and range. ^ Evaluate and perform operations on exponential and logarithmic functions. ^ Evaluate and perform operations on radical terms, expressions containing rational exponents, and complex numbers. ^ Evaluate series. ^ Find the domain of a function involving rational or radical expressions. ^ Find the equation of a line given facts about the line. ^ Find the inverse of a function. ^ Find the values of a sequence. ^ Math students feel they have the resources necessary for their success. ^ Perform operations on functions. ^ Rationalize denominators. ^ Simplify and perform operations on rational expressions. ^ Simplify complex fractions. ^ Solve applications involving the quadratic equations. ^ Solve applications using equations in one variable. ^ Solve applications using linear systems. ^ Solve compound inequalities. ^ Solve linear systems in two and three variables. ^ Solve literal equations. ^ Solve non-linear systems in two variables. ^ Solve polynomial and rational inequalities. ^ Solve the following types of equations in one variable: polynomial, absolute value, rational, radical, exponential, and logarithmic. ^ Students will be able to solve a wide variety of equations without being told what type of equation they are solving. ^ Students will feel that mathematics is a beneficial part of their education ^ Use the rules for exponents to simplify expressions. ^ Use the square root property, completing the square, quadratic formula, and factoring methods to solve quadratic equations and others that are quadratic in form.
Math 71AIntermediate Algebra - First Half^ Use the rules for exponents to simplify expressions. ^ Add, subtract, multiply, divide, and factor polynomials. ^ Construct, interpret and analyze graphs for the following: linear and quadratic equations, linear inequalities, and linear systems ^ Define a function and its domain and range. ^ Find the domain of a function involving rational expressions. ^ Find the equation of a line given facts about the line. ^ Math students feel they have the resources necessary for their success. ^ Perform operations on functions. ^ Simplify and perform operations on rational expressions. ^ Simplify complex fractions. ^ Solve applications involving polynomial and rational equations. ^ Solve applications using linear systems. ^ Solve compound inequalities. ^ Solve linear inequalities. ^ Solve linear systems in two and three variables. ^ Solve literal equations. ^ Solve the following types of equations in one variable: polynomial, absolute value, and rational. ^ Students will be able to factor a wide variety of polynomials. ^ Students will feel that mathematics is a beneficial part of their education
Math 71BIntermediate Algebra - Second Half^ Add, subtract, multiply, divide, and factor polynomials. ^ Apply the binomial theorem. ^ Construct, interpret and analyze graphs for the following: linear and quadratic equations, conic sections, linear inequalities, exponential and logarithmic functions, and both linear and non-linear systems. ^ Define a function and its domain and range. ^ Evaluate and perform operations on exponential and logarithmic functions. ^ Evaluate and perform operations on radical terms, expressions containing rational exponents, and complex numbers. ^ Evaluate series. ^ Find the domain of a function involving rational or radical expressions. ^ Find the equation of a line given facts about the line. ^ Find the inverse of a function. ^ Find the values of a sequence. ^ Math students feel they have the resources necessary for their success. ^ Perform operations on functions. ^ Rationalize denominators. ^ Simplify and perform operations on rational expressions. ^ Simplify complex fractions. ^ Solve applications involving the quadratic equations. ^ Solve applications using equations in one variable. ^ Solve compound inequalities. ^ Solve linear systems in two and three variables. ^ Solve literal equations. ^ Solve non-linear systems in two variables. ^ Solve polynomial and rational inequalities. ^ Solve the following types of equations in one variable: polynomial, absolute value, rational, radical, exponential, and logarithmic. ^ Students will be able to graph a wide variety of functions and conic sections. ^ Students will be able to solve a wide variety of equations without being told what type of equation they are solving ^ Students will feel that mathematics is a beneficial part of their education ^ Use the rules for exponents to simplify expressions. ^ Use the square root property, completing the square, quadratic formula, and factoring methods to solve quadratic equations and others that are quadratic in form.
Math 285Linear Algebra and Differential Equations^ Students can formulate and solve differential equations which model real-world phenomena ^ Apply the Laplace Transform and its inverse, using the rules of the Laplace Transform, along with the 1st Shifting Theorem. Solve linear differential equations with constant coefficients using the Laplace Transform. ^ Demonstrate the operations of matrix algebra, row operations for linear systems, and the methods of Gaussian Elimination and matrix inversion for solving linear systems. ^ Evaluate determinants using cofactors and row operations. Demonstrate the properties of determinants and matrix inversion using cofactors. ^ Express a linear system of differential equations in vector form, and then solve the system using eigenvalues and eigenvectors. Analyze non-linear systems numerically, including phase-plane analysis, using a computer algebra system. ^ Identify and solve the following ordinary differential equations (ODEs): separable, 1st order linear. Set up and solve differential equations for the following applications: simple and logistic population growth model, simple electric circuits, mixing, orthogonal trajectories. Plot slope fields and numerically solve 1st order differential equations using Euler's and Runga Kutta methods. ^ Math students feel they have the resources necessary for their success. ^ Solve ODEs using power series. ^ Solve problems pertaining to the definitions of linear transformation, kernel and range. Compute eigenvalues and eigenvectors. Diagonalize a square matrix, with the special case of orthogonal diagonalization of symmetric matrices. Demonstrate matrix representation of a linear transformation, change of bases. 6. Solve linear differential equations of order n with constant coefficients (homogeneous or non-homogeneous,) the methods of undetermined coefficients and variation of parameters with applications to RLC circuits or mass spring systems. ^ Solve problems pertaining to the definitions of vector space, subspace, span, linear dependence and independence, basis and dimension, row and column space and inner product space. Demonstrate the use of the Gram-Schmidt process for orthogonalization. ^ Students can diagonalize square matrices and apply these results to the solutions of linear systems of differential equations. ^ Students can prove and apply facts regarding vector spaces, subspaces, linear independence, bases, and orthogonality. ^ Students can solve linear differential equations using power series ^ Students can solve non-homogeneous linear differential equations of any order using a variety of methods ^ Students will feel that mathematics is a beneficial part of their education
Math 61Plane Geometry^ Apply properties of ratio, proportion and similarity. ^ Apply the properties of geometric figures (angles, triangles, quadrilaterals, circles, etc.). ^ Deduce conclusions logically by reasoning from definitions, assumptions and theorems in formal and informal, direct and indirect proofs. ^ Given a statement, students will be able to make a drawing and write the hypothesis and conclusion using math notation pertinent to the drawing. ^ Identify and develop valid arguments and recognize errors in reasoning. ^ Math students feel they have the resources necessary for their success. ^ Perform fundamental geometric constructions using a compass and straightedge. ^ State and use geometric definitions. ^ State and use geometric formulas (areas, Pythagorean Theorem, angles, arcs, etc.). ^ Students can write a formal geometric proof. ^ Students will feel that mathematics is a beneficial part of their education
Math 71XPractical Intermediate Algebra^ Apply algebraic analysis to functions described above and give real-world meaning to intercepts, slope, asymptotes, and extrema. ^ Demonstrate in writing changes of units and other applications of ratios and proportions. ^ Isolate variables in equations of linear, quadratic, rational, radical, exponential, and logarithmic forms. ^ Math students feel they have the resources necessary for their success. ^ Model real-world phenomena using least-squares methods for data which approximate linear, quadratic, rational, radical, exponential, and logarithmic functions. ^ Students will feel that mathematics is a beneficial part of their education ^ Use data gathering instruments to sample data for curve fitting. ^ Use infinite series to model and quantify real-world phenomena.
Math 50Pre-Algebra^ Math 50 students will be able to simplify expressions. ^ Demonstrate mastery of relevant vocabulary and notation. ^ Determine factors and divisibility of any integer, identify prime numbers, and determine the least common multiple of any combination of whole numbers. ^ Evaluate ratios and percents, convert between percent and rational numbers, and solve equations and applications involving proportions and percents. ^ Find perimeter and area of geometric figures. ^ Math 50 students will be able to solve a linear equation. ^ Math students feel they have the resources necessary for their success. ^ Plot points and graph equations in two variables. ^ Simplify algebraic expressions with any rational number coefficient (includes the ability to evaluate algebraic expressions and formulas involving any rational number.) ^ Simplify and approximate square roots, and use them in application of the Pythagorean Theorem. ^ Solve any linear equation with rational coefficients, and apply this ability in solving word problems. ^ Students will feel that mathematics is a beneficial part of their education ^ Use the order of operations to simplify any arithmetic problem involving whole numbers, integers, and rational numbers in both fraction and decimal form. ^ When performing a problem, Math 50 students will present a logical, step-by-step argument, leading to a correct conclusion.
Math 160Precalculus Mathematics^ Analyze arithmetic and geometric sequences. ^ Analyze polynomial, rational, exponential, logarithmic, and trigonometric equations. ^ Determine the domains of functions. ^ Find the inverse of functions ^ Find the partial fraction decomposition of rational expressions. ^ Graph conic sections; recognize or derive their properties, and write their equations. ^ Graph functions using translations and reflections. ^ Math students feel they have the resources necessary for their success. ^ Operate with functions. ^ Operate with vectors, including the dot product; use vectors to solve application problems. ^ Solve and graph systems of nonlinear equations. ^ Solve for the complex roots of polynomial functions. ^ Solve polynomial, rational, exponential, logarithmic, and trigonometric equations. ^ Students will be able to analyze a variety of functions. ^ Students will be able to solve different types of trigonometric equations. ^ Students will feel that mathematics is a beneficial part of their education ^ Use linear and quadratic functions to solve application problems. ^ Use the binomial theorem.
Math 99Special Projects in Mathematics^ Develop a project in the area of interest. ^ Engage in scholarly research in the area of mathematics. ^ Establish a contract with the professor regarding student assessment and the professor's expectations. ^ Math students feel they have the resources necessary for their success. ^ Prepare and present a report on the findings on the project topic. ^ Show knowledge of material after pursuing a program of independent reading from a list of references provided by the instructor. ^ Students will feel that mathematics is a beneficial part of their education
Math 96Strategies for Math Success^ Create a colorful Mechanical Section Structure Map for a given section in the textbook. ^ Describe in writing what it would be like to be successful at everything you tried ^ Describe in writing what the "Move, Reflect, Correct, Repeat" strategy means and show how you could apply it to something important to you (1-2 paragraphs). ^ List and briefly describe (1-2 paragraphs) in writing the four phases of "Structure Maps." ^ Math students feel they have the resources necessary for their success. ^ Students will be able to construct a mathematics mind map ^ Students will be able to create a meta-cognitive tool to facilitate distributed practices of mathematical procedures ^ Students will be able to create a personalized study plan emphasizing their natural intelligence strengths. ^ Students will feel that mathematics is a beneficial part of their education ^ Take Structure Notes for a given class session.
Math 100Survey of College Mathematics^ Analyze data using descriptive statistics and properties of the normal distribution. ^ Apply knowledge of properties and operations of set theory. ^ Demonstrate problem solving techniques. ^ Employ basic concepts of logic in using truth tables, arguments or Euler diagrams. ^ Math 100 students will feel comfortable in their math class. ^ Math 100 students will feel that mathematics is a beneficial part of their education. ^ Solve probability problems using and/or, not, conditional, and binomial. ^ Students will be able to determine the validity of an argument. ^ Students will be able to use a Venn diagram to count. ^ Utilize the various counting methods.
Math 150Trigonometry^ Apply DeMoivre's Theorem to powers and roots of complex numbers. ^ Apply inverse trigonometric functions. ^ Apply the principles of trigonometry to problem solving. ^ Evaluate trigonometric functions of angles measured in degrees and radians. ^ Graph trigonometric and inverse trigonometric functions. ^ Math students feel they have the resources necessary for their success. ^ Prove and use trigonometric identities. ^ Solve problems using vectors and vector operations. ^ Solve right and oblique triangles. ^ Solve trigonometric equations. ^ Students will feel that mathematics is a beneficial part of their education ^ The student will be able to accurately solve trigonometric equations over a given interval, including equations that use multiple angles, identities, and quadratic forms. ^ Without the use of a calculator, students will be able to graph the six trigonometric functions in a precise manner, stating the period, amplitude, phase shift, and translation as appropriate.