Ask Joe
Mt. SAC Emergency Alert

Alert: Mt. SAC has Transitioned to Online Classes and Services (see www.mtsac.edu/online). Learn more about our COVID-19 response at www.mtsac.edu/health.

Discipline

  • Results for SLO Disciplines>

Student Learning Outcomes

Discipline: Math
Course Name Course Number Objectives
A Transition to Advanced Mathematics Math 245
  • Students will feel that mathematics is a beneficial part of their education
  • Use techniques such as contradiction and contrapositive to prove statements.
  • Perform set operations using union, intersection, complementation, and DeMorgan's Laws.
  • Write proofs involving the well-ordering principle and mathematical induction.
  • Write proofs pertaining to relations, equivalence relations, partitions, and equivalence classes.
  • Write proofs involving one-to-one functions, onto functions, preimage, and inverse image.
  • Write proofs pertaining to finite sets, countable sets, and uncountable sets. Apply the Bernstein-Schroder Theorem to prove the equivalence between sets.
  • 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 Heine-Borel Theorem to prove statements involving compact sets.
  • Math students feel they have the resources necessary for their success.
  • Use the Bolzano-Weierstrass Theorem to prove statements involving accumulation points and limit points.
Calculus and Analytic Geometry Math 180
  • Students can compute instantaneous rates of change in applications
  • Students can evaluate integrals of elementary functions using the method of substitution.
  • Students can differentiate algebraic and transcendental functions
  • Students can solve optimization problems.
  • Math students feel they have the resources necessary for their success.
  • Students will feel that mathematics is a beneficial part of their education
  • 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.
  • 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.
  • 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.
  • 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.
  • Evaluate indefinite integrals and definite integrals using the Fundamental Theorem of Calculus. Evaluate integrals using the substitution rule and integration by parts.
Calculus and Analytic Geometry Math 181
  • Students can determine convergence of infinite series of various forms using various techniques.
  • Students can describe objects algebraically and geometrically in various 2- or 3-dimensional coordinate systems.
  • Students can integrate algebraic and transcendental function using a variety of techniques
  • Students can apply the definite integral to applications.
  • Math students feel they have the resources necessary for their success.
  • Students will feel that mathematics is a beneficial part of their education
  • 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.
  • 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.
  • Solve separable differential equations with applications.
  • Plot curves parametrically and in polar coordinates, using calculus to compute associated areas, arc-lengths, and slopes.
  • Test for convergence for sequences and series using the integral, comparison, alternating series, ratio, and root tests.
  • Determine representations of functions as power series including Taylor and Maclaurin series.
  • Use power series in applications.
Calculus and Analytic Geometry Math 280
  • Students can analytically describe the physical states of objects with mass traveling in three dimensions.
  • 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 can apply partial derivatives to optimization problems.
  • Math students feel they have the resources necessary for their success.
  • Students will feel that mathematics is a beneficial part of their education
  • 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.
  • 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.?
  • Compute domain of functions of several variables, plot surfaces, level curves and level surfaces for functions of several variables. ?
  • Evaluate limits for functions of several variables and test for continuity.?
  • Determine differentiability and evaluate partial derivatives, including the use of Chain Rule.
  • Compute the total differential for a function of several variables, and apply this to error estimation.
  • Compute directional derivatives and the gradient vector, solve application problems using their properties. ?
  • Compute the equations for tangent planes and normal lines to surfaces.?
  • Identify and classify extrema and saddle points of functions of several variables, using the second partials test.
Calculus for Business Math 140
  • 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 students feel they have the resources necessary for their success.
  • Students will feel that mathematics is a beneficial part of their education
  • Evaluate the limit of a function.
  • Apply the definition of continuity.
  • Determine the first and higher-order derivatives for functions (algebraic, exponential, logarithmic and combinations of these), explicitly and implicitly.
  • Apply the derivative to curve sketching, related rates, and optimization problems.
  • Solve real-life problems using the Fundamental Theorem of Calculus.
  • Select and use the appropriate integration technique suitable to given problems.
  • Apply calculus techniques to analyze functions of several variables.
  • Analyze a variety of applied problems using calculus.
  • Solve separable differential equations.
College Algebra Math 130
  • Math students feel they have the resources necessary for their success.
  • Students will feel that mathematics is a beneficial part of their education
  • Simplify expressions, including polynomial, rational, radical, exponential and logarithmic.
  • Solve equations and inequalities, including linear, higher-order polynomial, rational, radical, exponential, logarithmic and literal.
  • Perform operations with functions including composition and determine the domain, range and inverse of a function.
  • Graph functions and relations, including polynomial, rational, exponential and logarithmic functions (using transformations when appropriate).
  • Solve systems of equations (linear and non-linear) by methods of substitution, elimination, graphing and matrices.
  • 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.
  • Expand powers of binomials using the Binomial Theorem.
  • 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.
  • Demonstrate properties of matrices.
Differential Equations MATH 290
  • Students can solve the following ordinary differential equations (ODEs): separable, first order linear, homogeneous, Bernoulli, and exact.
  • Students can solve linear ODEs of order n with constant coefficients.
  • Students can solve linear initial value problems with constant coefficients using Laplace transform.
Elementary Algebra Math 51
  • Students will be able to solve a wide variety of equations without being given the type of equation.
  • Math students feel they have the resources necessary for their success.
  • Students will feel that mathematics is a beneficial part of their education
  • Communicate effectively in mathematical language.
  • Simplify algebraic expressions including linear, quadratic, rational, and radical.
  • 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.
  • Graph solutions of linear equations in the Cartesian Coordinate System.
  • Write equations of lines given specific information about the line.
  • Solve and graph solutions of linear inequalities in one and two variables.
  • Solve systems of linear equations.
  • Perform operations with polynomials including adding, subtracting, multiplying, dividing, and factoring.
  • Develop problem-solving techniques by solving a wide variety of applications.
  • Students will be able to factor a wide variety of polynomials.
Elementary Algebra - First Half Math 51A
  • Math 51 students will be able to solve a linear equation.
  • Students will be able to solve a wide variety of equations without being given the type of equation.
  • Students will be able to factor a wide variety of polynomials.
  • Math students feel they have the resources necessary for their success.
  • Students will feel that mathematics is a beneficial part of their education
  • Communicate effectively in mathematical language.
  • Simplify algebraic expressions, including linear and rational.
  • Solve linear equations and inequalities.
  • Perform operations with polynomials, including adding, subtracting, multiplying, dividing, and factoring.
  • Solve rational equations.
  • Develop problem solving skills.
Elementary Algebra - Second Half Math 51B
  • Math students feel they have the resources necessary for their success.
  • Students will feel that mathematics is a beneficial part of their education
  • Communicate effectively in mathematical language.
  • Simplify algebraic expressions including linear, quadratic, rational, and radical.
  • 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.
  • Graph solutions of linear equations in the Cartesian Coordinate System.
  • Write the equation of a line given specific information about the line.
  • Solve and graph solutions of linear inequalities in one and two variables.
  • Solve systems of linear equations.
  • Perform operations with polynomials including adding, subtracting, multiplying, dividing, and factoring.
  • Develop problem solving techniques by solving a wide variety of applications.
  • Students will be able to solve a wide variety of equations without being told what type of equation they are solving.
Elementary Statistics Math 110
  • Determine the appropriate statistical methods by data type and number of populations or treatments.
  • Utilize statistical techniques with a variety of applications that pertain to business, the social, natural and physical sciences.
  • 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 sample statistics from one or more samples, students will be able to test a claim made about a population parameter.
  • 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.
  • Math 110 students will feel comfortable in their math class.
  • Math 110 students will demonstrate the thinking skill of accurate self-assessment.
  • 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.
  • Math 110 students will demonstrate the ability and willingness to take the steps necessary to succeed in their math class.
  • Define basic statistical terms and notation.
  • Describe the proper methods of sampling.
  • Describe the distributions of quantitative data in terms of center, shape, and spread.
  • Infer from observational and experimental studies.
  • Explain the basic concepts of probability theory and calculate probabilities.
  • Employ the principles of inferential statistics in estimation and hypothesis testing.
  • Utilize computer technology in statistical analyses.
Elementary Statistics -Honors Math 110H
  • 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 sample statistics from one or more samples, students will be able to test a claim made about a population parameter
  • 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.
  • Math 110H students will feel comfortable in their math class.
  • Math 110H students will demonstrate the thinking skill of accurate self-assessment.
  • 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.
  • Math 110H students will demonstrate the ability and willingness to take the steps necessary to succeed in their math class.
  • Define basic statistical terms and notation.
  • Describe the proper methods of sampling.
  • Describe the distributions of quantitative data in terms of center, shape, and spread.
  • Infer from observational and experimental studies.
  • Explain the basic concepts of probability theory and calculate probabilities.
  • 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.
  • Utilize statistical techniques with a variety of applications that pertain to business, the social, natural and physical sciences.
  • Utilize computer technology in statistical analyses.
  • Demonstrate ability to combine appropriate data gathering techniques and ability to express statistical conclusions in formal writing to complete a large, semester-long project.
Essential Topics from Elementary Algebra MATH 7
  • Students feel that Math 7 has improved their overall mathematical understanding and ability in Math 71.
  • Math 7 students will be able to graph lines and write equations of lines given specific information about the lines.
  • Math 7 students will be able to solve a variety of equations and inequalities in one variable.
Essential Topics from Intermediate Algebra MATH 13
  • Students feel that Math 13 has improved their overall mathematical understanding and ability in Math 130.
  • Math 13 students will improve their ability to solve polynomial, rational, radical, exponential, and logarithmic equations.
  • Math 13 students will improve their ability to graph linear, quadratic, polynomial, rational, exponential, and logarithmic functions.
  • Math 13 students will improve their understanding of functions, function notation, and relations at the college algebra level.
Essential Topics from Pre Algebra MATH 5
  • Students feel that Math 5 has improved their overall mathematical understanding and ability in Math 51.
  • Math 5 students will be able to solve linear equations having integer, decimal, and rational coefficients.
  • Math 5 students will be able to perform operations with polynomials and rational expressions.
Essential Topics from Precalculus MATH 18
  • Students feel that Math 18 has improved their overall mathematical understanding and ability in Math 180.
  • Math 18 students will be able to construct mathematical models and solve optimization and related rates problems.
  • Math 18 students will be able to analyze functions—including sign testing, intervals of increase and decrease, and zeros—to sketch graphs.
Finite Mathematics Math 120
  • Students will be able to solve a linear programming problem using the geometric approach
  • Students will be able to solve a binomial probability distribution problem.
  • Math students feel they have the resources necessary for their success.
  • Students will feel that mathematics is a beneficial part of their education
  • Apply techniques of mathematical modeling to problems from business, economics and social sciences using formulas, graphs, and systems of equations.
  • Apply linear programming techniques for maximizing and minimizing linear functions.
  • Apply formulas for calculating interest, present value, annuities, and sinking funds, as well as determine payments and lump sum deposits.
  • Translate large amounts of real life data into mathematical models involving matrices, and use matrix theory to manipulate data.
  • Propose appropriate counting models involving sets, permutations, and combinations for situations where straightforward counting is impractical.
  • Formulate probabilistic models and calculate the probability of various events.
  • Develop models that use Markov chains to study patterns for the future and to make predictions.
  • Analyze, organize, and interpret numerical data.
  • Students will be able to solve a linear programming problem using the simplex approach.
Integrated Intermediate Algebra Math 70S
  • Students will distinguish observational from experimental research studies and give appropriate conclusions to them.
  • Students will graph linear equations.
  • Students will describe the characteristics of the distribution of a quantitative variable.
  • Solve problems involving the simplification of linear, quadratic, rational, radical, exponential and logarithmic functions.
  • Solve problems involving the interpretation of linear, quadratic, rational radical, exponential and logarithmic graphs.
  • Solve linear, quadratic, rational, radical, exponential, and logarithmic equations. Solve linear systems of equations.
  • Solve linear inequalities.
  • Graph functions of linear, quadratic, radical, exponential, and logarithmic forms.
  • Use correct statistical terminology and notation.
  • Answer questions regarding observational and experimental statistical studies.
  • Summarize univariate statistical data graphically and numerically.
Integrated Statistics Math 110S
  • Students will be able to use sample statistics to develop a confidence interval for population parameters.
  • Using sample statistics from one or more samples, students will be able to test a claim made about a population parameter.
  • Using bivariate data, students will be able to determine the strength, form, and direction (when linear) of a relationship between two variables.
  • Use correct statistical terminology and notation.
  • Distinguish between data types and appropriate numerical and graphical summaries
  • Distinguish between experimental and observational studies and appropriate conclusions
  • Validate methods of sampling
  • Explain the basic concepts of probability theory and calculate probabilities.
  • Determine probabilities, mean, standard deviation from discrete and probability distributions
  • Compute probabilities from continuous probability distributions
  • Perform statistical inference for estimation and hypothesis testing.
  • Utilize computer technology to aide in the solution of statistical analyses.
Intermediate Algebra Math 71
  • Math students feel they have the resources necessary for their success.
  • Students will feel that mathematics is a beneficial part of their education
  • Solve the following types of equations in one variable: polynomial, absolute value, rational, radical, exponential, and logarithmic.
  • Solve applications using equations in one variable.
  • Use the square root property, completing the square, quadratic formula, and factoring methods to solve quadratic equations and others that are quadratic in form.
  • Solve applications involving the quadratic equations.
  • Solve literal equations.
  • Define a function and its domain and range.
  • Find the domain of a function involving rational or radical expressions.
  • Perform operations on functions.
  • Solve polynomial and rational inequalities.
  • Solve compound inequalities.
  • Solve non-linear systems in two variables.
  • Solve linear systems in two and three variables.
  • Solve applications using linear systems.
  • 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.
  • Find the equation of a line given facts about the line.
  • Use the rules for exponents to simplify expressions.
  • Add, subtract, multiply, divide, and factor polynomials.
  • Simplify and perform operations on rational expressions.
  • Simplify complex fractions.
  • Evaluate and perform operations on radical terms, expressions containing rational exponents, and complex numbers.
  • Rationalize denominators.
  • Evaluate and perform operations on exponential and logarithmic functions.
  • Find the inverse of a function.
  • Find the values of a sequence.
  • Evaluate series.
  • Apply the binomial theorem.
  • Students will be able to solve a wide variety of equations without being told what type of equation they are solving.
Intermediate Algebra - First Half Math 71A
  • Math students feel they have the resources necessary for their success.
  • Students will feel that mathematics is a beneficial part of their education
  • Solve the following types of equations in one variable: polynomial, absolute value, and rational.
  • Solve applications involving polynomial and rational equations.
  • Solve literal equations.
  • Define a function and its domain and range.
  • Find the domain of a function involving rational expressions.
  • Perform operations on functions.
  • Solve linear inequalities.
  • Solve linear inequalities.
  • Solve compound inequalities.
  • Solve linear systems in two and three variables.
  • Solve applications using linear systems.
  • Construct, interpret and analyze graphs for the following: linear and quadratic equations, linear inequalities, and linear systems
  • Find the equation of a line given facts about the line.
  • Use the rules for exponents to simplify expressions.
  • Add, subtract, multiply, divide, and factor polynomials.
  • Simplify and perform operations on rational expressions.
  • Simplify complex fractions.
  • Students will be able to factor a wide variety of polynomials.
Intermediate Algebra - Second Half Math 71B
  • 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
  • Math students feel they have the resources necessary for their success.
  • Students will feel that mathematics is a beneficial part of their education
  • Solve the following types of equations in one variable: polynomial, absolute value, rational, radical, exponential, and logarithmic.
  • Solve applications using equations in one variable.
  • Use the square root property, completing the square, quadratic formula, and factoring methods to solve quadratic equations and others that are quadratic in form.
  • Solve applications involving the quadratic equations.
  • Solve literal equations.
  • Define a function and its domain and range.
  • Find the domain of a function involving rational or radical expressions.
  • Perform operations on functions.
  • Solve polynomial and rational inequalities.
  • Solve compound inequalities.
  • Solve non-linear systems in two variables.
  • Solve linear systems in two and three variables.
  • 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.
  • Find the equation of a line given facts about the line.
  • Use the rules for exponents to simplify expressions.
  • Add, subtract, multiply, divide, and factor polynomials.
  • Simplify and perform operations on rational expressions.
  • Simplify complex fractions.
  • Evaluate and perform operations on radical terms, expressions containing rational exponents, and complex numbers.
  • Rationalize denominators.
  • Evaluate and perform operations on exponential and logarithmic functions.
  • Find the inverse of a function.
  • Find the values of a sequence.
  • Evaluate series.
  • Apply the binomial theorem.
Linear Algebra MATH 260
  • Students can solve problems pertaining to the definitions of vector space, subspace, span, linear independence and dependence.
  • Students can solve problems pertaining to the definitions of linear transformation, kernel, and range.
  • Students can solve problems pertaining to eigenvalues and eigenvectors.
Linear Algebra and Differential Equations Math 285
  • Students can solve non-homogeneous linear differential equations of any order using a variety of methods
  • Students can formulate and solve differential equations which model real-world phenomena
  • Students can diagonalize square matrices and apply these results to the solutions of linear systems of differential equations.
  • Students can solve linear differential equations using power series
  • Students can prove and apply facts regarding vector spaces, subspaces, linear independence, bases, and orthogonality.
  • Math students feel they have the resources necessary for their success.
  • Students will feel that mathematics is a beneficial part of their education
  • 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.
  • 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.
  • 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.
  • 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.
  • 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.
  • 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.
  • Solve ODEs using power series.
Plane Geometry Math 61
  • Identify and develop valid arguments and recognize errors in reasoning.
  • Given a statement, students will be able to make a drawing and write the hypothesis and conclusion using math notation pertinent to the drawing.
  • Students can write a formal geometric proof.
  • Math students feel they have the resources necessary for their success.
  • Students will feel that mathematics is a beneficial part of their education
  • Deduce conclusions logically by reasoning from definitions, assumptions and theorems in formal and informal, direct and indirect proofs.
  • State and use geometric definitions.
  • Perform fundamental geometric constructions using a compass and straightedge.
  • Apply the properties of geometric figures (angles, triangles, quadrilaterals, circles, etc.).
  • State and use geometric formulas (areas, Pythagorean Theorem, angles, arcs, etc.).
  • Apply properties of ratio, proportion and similarity.
Practical Intermediate Algebra Math 71X
  • Math students feel they have the resources necessary for their success.
  • Students will feel that mathematics is a beneficial part of their education
  • 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.
  • Model real-world phenomena using least-squares methods for data which approximate linear, quadratic, rational, radical, exponential, and logarithmic functions.
  • Apply algebraic analysis to functions described above and give real-world meaning to intercepts, slope, asymptotes, and extrema.
  • Use infinite series to model and quantify real-world phenomena.
  • Use data gathering instruments to sample data for curve fitting.
Pre-Algebra Math 50
  • When performing a problem, Math 50 students will present a logical, step-by-step argument, leading to a correct conclusion.
  • Math 50 students will be able to simplify expressions.
  • Math 50 students will be able to solve a linear equation.
  • Math students feel they have the resources necessary for their success.
  • Students will feel that mathematics is a beneficial part of their education
  • Demonstrate mastery of relevant vocabulary and notation.
  • Use the order of operations to simplify any arithmetic problem involving whole numbers, integers, and rational numbers in both fraction and decimal form.
  • Simplify algebraic expressions with any rational number coefficient (includes the ability to evaluate algebraic expressions and formulas involving any rational number.)
  • Determine factors and divisibility of any integer, identify prime numbers, and determine the least common multiple of any combination of whole numbers.
  • Solve any linear equation with rational coefficients, and apply this ability in solving word problems.
  • 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.
  • Simplify and approximate square roots, and use them in application of the Pythagorean Theorem.
  • Plot points and graph equations in two variables.
Precalculus Mathematics Math 160
  • Students will be able to analyze a variety of functions.
  • Students will be able to solve different types of trigonometric equations.
  • Math students feel they have the resources necessary for their success.
  • Students will feel that mathematics is a beneficial part of their education
  • Graph functions using translations and reflections.
  • Determine the domains of functions.
  • Operate with functions.
  • Find the inverse of functions
  • Use linear and quadratic functions to solve application problems.
  • Solve for the complex roots of polynomial functions.
  • Analyze polynomial, rational, exponential, logarithmic, and trigonometric equations.
  • Solve polynomial, rational, exponential, logarithmic, and trigonometric equations.
  • Operate with vectors, including the dot product; use vectors to solve application problems.
  • Find the partial fraction decomposition of rational expressions.
  • Graph conic sections; recognize or derive their properties, and write their equations.
  • Solve and graph systems of nonlinear equations.
  • Analyze arithmetic and geometric sequences.
  • Use the binomial theorem.
Special Projects in Mathematics Math 99
  • Math students feel they have the resources necessary for their success.
  • Students will feel that mathematics is a beneficial part of their education
  • Develop a project in the area of interest.
  • Establish a contract with the professor regarding student assessment and the professor's expectations.
  • Show knowledge of material after pursuing a program of independent reading from a list of references provided by the instructor.
  • Engage in scholarly research in the area of mathematics.
  • Prepare and present a report on the findings on the project topic.
Strategies for Math Success Math 96
  • Students will be able to construct a mathematics mind map
  • Students will be able to create a personalized study plan emphasizing their natural intelligence strengths.
  • Students will be able to create a meta-cognitive tool to facilitate distributed practices of mathematical procedures
  • Math students feel they have the resources necessary for their success.
  • Students will feel that mathematics is a beneficial part of their education
  • Describe in writing what it would be like to be successful at everything you tried
  • Create a colorful Mechanical Section Structure Map for a given section in the textbook.
  • Take Structure Notes for a given class session.
  • List and briefly describe (1-2 paragraphs) in writing the four phases of "Structure Maps."
  • 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).
Survey of College Mathematics Math 100
  • Math 100 students will feel comfortable in their math class.
  • Math 100 students will feel that mathematics is a beneficial part of their education.
  • Demonstrate problem solving techniques.
  • Apply knowledge of properties and operations of set theory.
  • Employ basic concepts of logic in using truth tables, arguments or Euler diagrams.
  • Utilize the various counting methods.
  • Solve probability problems using and/or, not, conditional, and binomial.
  • Analyze data using descriptive statistics and properties of the normal distribution.
  • Students will be able to use a Venn diagram to count.
  • Students will be able to determine the validity of an argument.
Trigonometry Math 150
  • 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.
  • The student will be able to accurately solve trigonometric equations over a given interval, including equations that use multiple angles, identities, and quadratic forms.
  • Math students feel they have the resources necessary for their success.
  • Students will feel that mathematics is a beneficial part of their education
  • Evaluate trigonometric functions of angles measured in degrees and radians.
  • Solve right and oblique triangles.
  • Apply inverse trigonometric functions.
  • Graph trigonometric and inverse trigonometric functions.
  • Solve trigonometric equations.
  • Prove and use trigonometric identities.
  • Apply DeMoivre's Theorem to powers and roots of complex numbers.
  • Apply the principles of trigonometry to problem solving.
  • Solve problems using vectors and vector operations.