MAT COURSE LEVEL OUTCOMES 1 SUBJECT COURSE # MAT 2 STUDENT LEARNING OUTCOMES Student is able to evaluate problems using techniques of differentiation. Students can analyze graphs of functions. Student is able to evaluate integrals using techniques of integration. MAT 4 Students will be able to determine if a given set of vectors form a basis for a vector space. Students will use the Gram-Schmidt process to create an orthonormal basis for a vector space. Students will verify that a proposed inner product is properly defined. MAT 5 Student is able to solve 2nd order differential equation, with forcing function, using Method of Undetermined Coefficients. Student is able to solve 2nd order differential equation, with forcing function, using Power Series. Student is able to solve 2nd order differential equation, with forcing function, using Variation of Parameters. Student is able to solve 2nd order differential equation, with forcing function, using Laplace Transforms. MAT 10 Student can solve congruence’s Students can identify sets at different levels of infinity Students can solve counting problems MAT 12 Student is able to convert numbers in base 10 to other bases. Student is able to identify patterns in numeric sequences. Student is able to solve problems involving percent. MAT 13 For a given data set students should be able to find mean, mode, median, range, and standard deviation Students should be able to create sample space for given events and find probabilities. MAT COURSE LEVEL OUTCOMES 2 Students should know about normal distribution and its applications. Students should be able to do hypothesis testing. MAT 16 Student is able to solve linear programming problems geometrically and using the simplex method. Student is able to solve counting problems and find probabilities by using the multiplication principle, permutations and combinations Student is able to apply the mathematics of finance to real world problems involving simple interest and compound interest, annuities, sinking funds, present value annuities, and amortizations MAT 24 Student will be able to graph the six basic trigonometric functions, and be able to identify changes in period, amplitude, and phase shift Student will be able to solve trigonometric equations Student will be able to solve applications related to vectors, bearing, angles of elevation and depression, arc length, area of a sector, and linear and angular velocity. The student will be able to analyze and apply the most efficient strategies to solve the following types of problems and judge the reasonableness of the results: right and oblique triangles, trigonometric equations and areas of triangles. MAT 25 Student will find all roots of a 3rd degree polynomial. Student is able to solve an exponential equation similar to 3+2^(x)=15. Student is able to find the partial fraction decomposition for a rational expression similar to 2/(x^3+ 8x^2 + 19x + 12). Student will describe how the graph of y= - (x+2)^2+3 differs from the graph of y=x^2 with respect to shifts of location and orientation. Students will solve a logarithmic equation similar to ln(x+2)+ln(x)=ln(x+20). MAT COURSE LEVEL OUTCOMES 3 MAT 45 The student will select a topic for investigation and design a learning plan with which to conduct the study. The student will carry out the plan within the time allotted for the project. The student will present a comprehensive report of the execution and findings of the project. MAT 121 Given an equation students will choose a strategy and solve. Given a linear equation students will graph, identify intercepts, and identify slope. Given an expression students will simplify it. MAT 122 Use trigonometry to solve a right triangle. Use similar triangles to solve an applied problem. Prove a geometry theorem using deductive reasoning. MAT 123 Given a logarithmic equation students will choose a strategy and solve. Students will be able to solve a 2x2 system of linear equations. Given a quadratic equation students will graph, identify intercepts, and the vertex. MAT 200 The student will be able to successfully complete basic addition and subtraction problems. The student will be able to successfully use the order of operations to simplify an arithmetic expression. The student will be able to successfully factor a composite number into prime factors. MAT 201 Given an arithmetic expression, students will be able to simplify, manipulate, and evaluate the arithmetic expression using the rules for order of operation. Given problems that model real-world situations, including problems with fractions, decimals, ratios, and percent’s, students will choose a strategy and solve. MAT COURSE LEVEL OUTCOMES 4 Given standard geometric figures, students will calculate area, perimeter, and volume. MAT 205 Student exhibits improved proficiency in the specific skills and concepts being reviewed and reinforced. MAT 206 Student exhibits improved proficiency in the specific skills and concepts being reviewed and reinforced. MAT 301 Given an arithmetic expression, students will be able to simplify, manipulate, and evaluate the arithmetic expression using the rules for order of operation. Given standard geometric figures, students will calculate area, perimeter, and volume. Given standard written statements, students will translate the statements into mathematical expressions, then simplify them. MAT 121L1 Students will recognize and use the properties of the real numbers. Students will use the rules for order of operations to simplify expressions. Students will translate mathematically meaningful English phrases into algebraic expressions. MAT 121L2 Students will solve linear equations with one unknown. Given a linear equation in two variables, students will graph, identify intercepts, and identify slope. Given two points on a line, students will calculate the slope and determine the equation of the line. Students will use linear equations to model real-life situations that involve linear relationships. MAT 121L3 Students will use the properties of exponents to simplify expressions. Students will add, subtract, multiply, and divide polynomials. Students will factor polynomials. Students will use properties of exponents in solving real-world problems. MAT COURSE LEVEL OUTCOMES 5 MAT 121L4 Students will solve equations involving rational expressions. Students will solve application problems involving rational expressions. Students will simplify radical expressions. Students will solve equations involving radicals. MAT 123L1 Students will be able to solve a system of linear equations graphically (assessment tool is 2 equations in 2 unknowns) Students will be able to solve a system of linear equations graphically (assessment tool is 3 equations in 3 unknowns) Students will be able to solve linear equations Students will be able to solve and graph linear inequalities MAT 123L2 Students will be able to state the Domain and Range and graph a function. Students will be able to factor a variety of algebraic expressions Students will be able to solve a quadratic equation using the zerofactor theorem Students will be able to solve an application problem using a quadratic equation. Students will be able to simplify an algebraic expression any of the four operations. Students will be able to interpret and solve a variation problem MAT 123L3 Students will be able to simplify a complex fraction Students will be able solve a rational equation Students will be able to simplify a radical expression Students will be able to simplify an algebraic expression with a complex number Students will be able to solve an equation containing rational numbers Students will be able to graph a function f(x) = MAT COURSE LEVEL OUTCOMES 6 Students will be able to solve an application problem by using and solving a quadratic equation. Students will be able to solve an application problem by using and solving a rational equation. MAT 123L4 Students will be able to solve and graph and absolute value equation and/or inequality Students will be able to graph a function and its inverse Students will be able to solve logarithmic equations Students will be able to graph and solve a system of non-linear inequalities Students will use quantitative and logical reasoning to analyze information, evaluate ideas and solve problems Students will be able to “name” an arithmetic or geometric sequence and find any term in that sequence Students will be able to solve and graph polynomial inequalities Student will be able to solve an application problem by using and solving either an exponential or logarithmic equation MAT 151L1 Student is able to solve an application problem involving percentages. Student is able to solve an application problem involving proportions. Student is able to solve an application problem requiring multiple arithmetic steps. MAT 151L2 Student is able to use conversion factors to convert measurements to different units. Student is able to solve problems involving algebraic expressions, formulas, and equations. Student is able to solve problems involving positive and negative exponents. MAT 151L3 Student is able to apply formulas related to plane geometric figures. MAT COURSE LEVEL OUTCOMES 7 Student is able to solve problems involving angles and angle measurement. Student is able to solve problems using basic principles of trigonometry. MAT 200L The student will be able to successfully complete basic addition and subtraction problems. The student will be able to successfully use the order of operations to simplify an arithmetic expression. The student will be able to successfully factor a composite number into prime factors. MAT 201L1 Given an arithmetic expression, students will be able to simplify, manipulate, and evaluate the arithmetic expression using the rules for order of operation. Given standard geometric figures, students will calculate area, perimeter, and volume. Given standard written statements, students will translate the statements into mathematical expressions, then simplify them. MAT 201L2 Given an equation involving integers and/or fractions that requires one or two steps to solve, students will determine the correct solution. Given standard geometric figures, students will calculate area, perimeter, and volume. Given standard written statements, students will translate the statements into mathematical expressions, and then simplify them. Given an equation involving integers and/or fractions that requires one or two steps to solve, students will determine the correct solution. MAT 201L3 Given problems that model real-world situations, including problems with fractions, decimals, ratios, and percent’s, students will choose a strategy and solve. Given an arithmetic expression, students will be able to simplify, manipulate, and evaluate the arithmetic expression using the rules for order of operation. Given a basic percent problem students will solve for one of the three variables. MAT COURSE LEVEL OUTCOMES 8 MAT 3A Student will be able to use combinations of differentiation rules to properly evaluate a derivative. Student will be able to use the first and second derivatives to describe the graph of a function. Student will use a definite integral to find the area under a curve. Student will be able to use integration to find a volume of rotation. MAT 3B Student will be able to use combinations of integration rules to properly evaluate an indefinite integral. Student will be able to use integration to solve an application problem. Student will be able to use integration and differentiation to analyze functions in polar form. Student will be able to determine if a series converges. MAT 3C The student will be able to find minimum and maximum values for a surface in 3 dimensions. The student will be able to find the equation of a plane tangent to a given surface at a given point. The student will be able to evaluate double and triple integrals. The student will be able to calculate the flux of a vector field over a given surface.