16 courses with the subject MATH, each shown exactly as we captured it from the college's catalog, with every element we hold. Where the wording looks broken, that is our reading of the catalog, not the college's text.
MATH 0103Statistics Support2
Focuses on the skills and concepts needed for success in MATH 1103 . This course is for students concurrently enrolled in MATH 1103 . Students will receive extra support in arithmetic, algebra, problem solving, technology, and study skills. Pre-Requisites MATH 0840 Co-Requisites MATH 1103 Major Content Areas Just-in-time statistics topics, which may include: basic probability, order of operations, calculator skills, word-problem translations, number line concepts, interpreting slope and y-intercept (70%) Skills for academic success, which may include: time management, study skills, math test-taking strategies, organizational skills, confidence building, connecting with campus resources (30%) Learning Outcomes Use a scientific or graphing calculator to perform the types of calculations encountered in statistics Analyze context clues and translate words into symbols. Engage in self-reflection/exploration as appropriate to make changes to personal attitudes and behaviors. Solve problems involving the skills and concepts from arithmetic and algebra that will aid in solving statistical problems. Evaluate current time allocation and develop a plan to manage time in a manner that fosters timely goal completion and student success. Identify and utilize appropriate academic & campus resources which may include academic, career, student life, financial and technology resources.
Focuses on the skills and concepts needed for success in MATH 1118 . This course is for students concurrently enrolled in MATH 1118 . Students will receive extra support in arithmetic, algebra, problem solving, technology, and study skills. Placement Level Math 0940: Intermediate Algebra Pre-Requisites MATH 0094 Co-Requisites MATH 1118 Major Content Areas Just-in-time algebra topics, which may include: lines, factoring, rational expressions, radicals, exponent rules, calculator skills, word-problem translations. Skills for academic success, which may include: time management, study skills, math test-taking strategies, organizational skills, confidence building, connecting with campus resources. Learning Outcomes Evaluate current time allocation and develop a plan to manage time in a manner that fosters timely goal completion and student success. Identify and utilize appropriate academic & campus resources which may include academic, career, student life, financial, and technology resources. Solve problems, including applications, involving the skills and concepts from introductory and intermediate algebra that will aid in solving college algebra problems. Use a scientific or graphing calculator to perform the types of calculations and analysis needed in college algebra. Engage in self-reflection/exploration as appropriate to make changes to personal attitudes and behaviors.
Designed for students who need work in beginning algebra and who are preparing for Intermediate Algebra (0940), Introduction to Statistics (1103), Math for Liberal Arts (1101), or Mathematical Foundations (1107). The topics in this course include real number operations and properties; solving linear equations and inequalities; graphing linear equations; rules of exponents; polynomial operations; factoring polynomials; solving quadratic equations by factoring and with quadratic formula; solving systems of linear equations; functions; applications are embedded throughout the course. Recommendation based on the results of the Inver Hills Assessment Test within the last 2 years. This course will not fulfill any degree requirements. Placement Level Math 0840: Introductory Algebra Major Content Areas Real Numbers: Properties, Arithmetic, Order of Operations 14% Functions: Domain, Range, Graphing Linear Functions, Applied Problems 6% Solve Quadratic Eq’ns by Factoring & Quadratic Formula & Applied Problems 10% Lines: Graphing, Slope, Intercepts, Applied Problems 12% Rules of Exponents and Polynomial Arithmetic (add, subtract, multiply) 18% Solve Linear Equations, Inequalities and Applied Problems 18% Factor Polynomials 10% Solve Systems of Linear Equations (2x2) & Applied Problems 12% Learning Outcomes Translate words into algebraic expressions, equations, and inequalities; as well as simplify algebraic expressions. Solve linear, literal, quadratic, and systems of linear equations (2x2); as well as linear inequalities. Evaluate functions using proper notation and find the domain and range of functions based on their graphs. Perform arithmetic of polynomials (add, subtract, multiply) and factor polynomials. Use laws of exponents to simplify expressions with integer exponents. Perform arithmetic of real numbers. Graph linear equations using slope and intercept, find equations of lines, and interpret linear models. Solve applied problems using the equations and inequalities in Outcome 4.
Gives non-mathematicians an appreciation of mathematical ideas and the power and utility of mathematical skills in the modern world. Topics will be selected from: voting and weighted voting systems, fair division and apportionment; routing, minimum network and scheduling problems; mathematical growth and math of finance; descriptive statistics and data analysis; basic probability and normal distributions. Pre-Requisites
Presents basic statistics which includes descriptive and graphical statistics, basic probability, probability distributions, sampling distributions, confidence intervals and hypotheses testing for one or two populations, linear regression, chi-square tests, and ANOVA. Professional statistical software, such as Minitab, will be integrated throughout the class. Graphing calculator required for the course. Recommendation based on the results of the Inver Hills Assessment Test or grade of “C” higher in MATH 0840 within the last 2 years. Pre-Requisites MATH 0840 Major Content Areas Data summarization: 20% Basic probability, probability distributions: 25% Hypothesis testing for a single parameter or comparing parameters from two populations: 25% Confidence intervals for a single parameter or comparting parameters from two populations: 15% Statistical software will be used extensively as an aid in visualizing and simulating problems, and also to perform the calculations once the method of analysis has been established. ANOVA: 5% Chi-Square: 5% Linear regression: 5% Learning Outcomes Determine linear regression equations and use them appropriately Determine appropriate confidence intervals for measures of central tendency and for proportions of one or two populations Use graphical and arithmetic measures to determine the appropriate analysis for the data under consideration Demonstrate the appropriate use of the Chi-Square test Use statistical software extensively to simulate, graph, sample and analyze data; to perform appropriate estimates or tests on population parameters; and to calculate basic probabilities Demonstrate an understanding and apply basic principles of probability, probability distributions (including binomial and normal distributions), and the concept of expected value Perform appropriate hypothesis testing for measures of central tendency and for proportions of one or two populations Demonstrate the appropriate use of the Analysis of Variance method for testing the equality of three or more population means Minnesota Transfer Curriculum (MNTC) Goals 02 - Critical Thinking 04 - Mathematical/Logical Reasoning
Includes the topics: analysis of the problem solving process; sets and number systems; operations, properties, and computation with the real numbers and their classic subsets; number theory; decimals, ratio, proportion, and percents; statistics; probability; measurement; relations, functions and patterns; algebra models; geometric shapes; and applications. This course can be used for prospective elementary education majors and liberal arts students. This course meets the Minnesota Professional Educator Licensing and Standards Board (PELSB) 8710.3200, Subp. 3, Standard H1 a, b, c, H2 a, b, H3 a, b, c, d, H4 a, b, H5 a, b, H6 a, b, H7 a, b, c, d. Pre-Requisites MATH 0840 Major Content Areas Whole Numbers: 11% Algebra Models: 3% Relations, Functions. & Patterns: 4% Problem Solving Process: 3% Probability: 14% Integers: 5% Sets and Numeration Systems: 7% Statistics: 7% Real Number System: 3% Measure: 9% Decimals, Percents, Ratio, and Proportion: 9% Number Theory: 5% Geometry: 12% Fractions: 8% Learning Outcomes Apply the concepts of number theory, estimation, mental math, calculators, algorithms, manipulatives, and models to formulate and solve a variety of problems Demonstrate the ability to work cooperatively in groups and independently to learn mathematics Analyze, compare & state similarities and differences between modern and historic numeration systems Formulate and solve problems whose solutions require spatial sense Identify relations and functions and explain their similarities and differences Create models that demonstrate the operations, properties, and uses of whole numbers, fractions, decimals, percents, integers, and irrational numbers; and solve algebraic equations Apply the algorithms of the base ten number system to other bases Apply Polya’s four-step problem solving process to a problem situation Identify patterns and sequences, including arithmetic and geometric sequences Collect and interpret data represented in different ways Measure and interpret measurements of a variety of two- and three-dimensional objects Demonstrate and use counting techniques, such as permutations and combinations, in the study of probability State the differences between empirical and theoretical probability and apply it to real life situations Minnesota Transfer Curriculum (MNTC) Goals 04 - Mathematical/Logical Reasoning 02 - Critical Thinking
Prepares students for Calculus I ( MATH 1133 ) when taken in sequence with MATH 1119 or for Survey of Calculus ( MATH 1120 ). Topics include the study of algebraic, exponential, and logarithmic functions; graphing functions using transformations; inverse functions; polynomial, exponential, logarithmic equations; systems of linear and non-linear equations; applied problems; building models from data. Use of technology will be embedded throughout the course. Recommendation based on the results of the Inver Hills Assessment Test or grade of C or higher in MATH 0940 within the last 2 years. Pre-Requisites MATH 0940 Major Content Areas Polynomial & rational functions, eq’ns, inequalities, graphs, & applied problems 20% Systems of linear and non-linear equations 10% Analyze data and use technology to find functions which best describe the data 10% Characteristics of functions and the algebra of functions 20% Use of technology will be embedded throughout the course. Graphing functions using transformations 20% Exponential and logarithmic functions, equations, graphs, and applied problems 20% Learning Outcomes Solve systems of linear and non-linear equations. Perform the algebra of functions: sum, difference, product, quotient, and composition. Use technology to analyze graphs, solve applied problems, solve systems of linear equations, and analyze data to find functions which best describe the data. Solve polynomial, exponential, and logarithmic equations. Solve applied problems involving compound interest, exponential growth and decay, logistic growth, and extrema of quadratic functions. Graph absolute value, reciprocal, square root, greatest integer, rational, exponential, and logarithmic functions using transformations; graph piecewise defined functions; graph polynomials by finding and using the zeros and their multiplicities. Solve polynomial and rational inequalities. Demonstrate an understanding of functions and characteristics of functions such as domain, range, intervals of increase and decrease, asymptotes, intercepts, average rate of change over a given interval, and symmetry. Students will investigate these characteristics from both analytical and graphical perspectives. Find the inverse of a one to one function. Minnesota Transfer Curriculum (MNTC) Goals 02 - Critical Thinking 04 - Mathematical/Logical Reasoning
Prepares students for Calculus I ( MATH 1133 ) when taken in sequence with College Algebra I ( MATH 1118 ). Topics include trigonometric functions and their graphs, trigonometric identities and applications, law of sines and cosines, solving trigonometric and parametric equations, conic sections, polar coordinates and graphing functions in polar form, vectors and the complex plane. Use of technology will be embedded throughout the course. Pre-Requisites MATH 1118 Major Content Areas Trigonometric Functions. Trigonometric identities and equations. Trigonometric, parametric and polar graphs. Polar and parametric equations. Conic Sections. Vectors. Complex Plane and DeMoivre’s Theorem. Learning Outcomes Demonstrate an understanding of trigonometric functions and their applications. Verify identities and solve trigonometric equations. Graph polar and parametric equations with and without technology. Graph conic sections and solve applications involving them. Identify and perform operations with vectors, and solve applied problems involving vectors.Convert and utilize complex numbers in polar form. Apply DeMoivre’s Theorem (time permitting). Minnesota Transfer Curriculum (MNTC) Goals 02 - Critical Thinking 04 - Mathematical/Logical Reasoning
Provides students with a survey of topics from differential and integral calculus. This course is not intended as a prerequisite for other courses in calculus. Topics include functions and limits; differentiation of algebraic, exponential, and logarithmic functions; basic integration including the substitution method. Applications include graphing functions, optimization problems, related rates, growth and decay models, and area under curves. Applications are drawn from the life and physical sciences, business and economics, and the social sciences. Pre-Requisites A grade of C or higher in MATH 1118 , or MATH 1127 Major Content Areas Integration: 15% Differentiation techniques: 20% Exponential and Logarithmic Functions: 15% Limits and continuity of functions: 10% Applications of Derivatives: 20% Applications of Integrals: 10% Growth and Decay Modeless and Elasticity of Demand: 10% Learning Outcomes Ability to understand applications of differentiation for optimization problems from the life and physical science, business and economics, and the social sciences. Other applications include growth and decay models, marginal cost analysis, linear approximations and related rates Ability to understand integration for finding areas under curves and solving applications from the life and physical science, business and economics, and the social sciences Ability to understand basic ideas from calculus both symbolically and conceptually. Students will demonstrate proficiency in differentiation and integration skills and an understanding of the geometry behind the computations, and will develop a sense of how calculus can be applied to everyday life Ability to apply differentiation skills to graphing functions. Student will use derivatives to complement their use of the graphing calculator to investigate functions Minnesota Transfer Curriculum (MNTC) Goals 02 - Critical Thinking 04 - Mathematical/Logical Reasoning
Prepares students for Calculus I ( MATH 1133 ). Topics include the study of algebraic, exponential, logarithmic, and trigonometric functions; graphing functions using transformations; inverse functions; polynomial, exponential, logarithmic, and trigonometric equations; applied problems; trigonometric identities. Time permitting, building models from data may be included. Use of technology will be embedded throughout the course. Pre-Requisites MATH 0940 Major Content Areas Trigonometric Functions: Definitions, graphs, & inverses 23% Use of technology will be embedded throughout. Polynomial & rational eq’ns, inequalities, functions, graphs, & applied problems 17% Exponential and logarithmic equations, functions, graphs, & applied problems 17% Graphing functions using transformations & characteristics of functions 20% Trigonometric identities, equations, & applied problems 23% Learning Outcomes Analyze data and use technology to find functions which best describe the data, time permitting. Find the inverse of a one to one function. Solve oblique and right triangles. Use technology to analyze graphs and solve applied problems. Verify trigonometric identities. Solve applied problems using polynomial, exponential, logarithmic, and trigonometric functions. Graph absolute value, reciprocal, square root, greatest integer, rational, exponential, and logarithmic functions using transformations; graph piecewise defined functions; graph polynomials by finding and using the zeros and their multiplicities. Perform the algebra of functions: sum, difference, product, quotient, and composition. Solve polynomial and rational inequalities. Demonstrate an understanding of functions and characteristics of functions such as domain, range, intervals of increase and decrease, asymptotes, intercepts, average rate of change over a given interval, and symmetry. Students will investigate these characteristics from both analytical and graphical perspectives. Solve polynomial, exponential, logarithmic, and trigonometric equations. Minnesota Transfer Curriculum (MNTC) Goals 04 - Mathematical/Logical Reasoning 02 - Critical Thinking
Provides an introduction to single variable calculus and prepares students for Calculus II ( MATH 1134 ). The topics include limits, derivatives (including trigonometric, logarithmic and exponential functions), continuity, applications of derivatives to related rates and optimization, graphing using information from the first and second derivatives, separable differential equations, Riemann Sums, basic integration techniques (including substitution), definite integrals, the Fundamental Theorem of Calculus, Trapezoidal and Simpson’s Rule. Students will become proficient with a computer algebra system. Use of technology will be embedded throughout the course. Pre-Requisites MATH 1127 , MATH 1119 Major Content Areas Limits. Derivatives. Application of Differentiation .Basic integration techniques, including substitution. Approximation techniques. Differential Equations. Learning Outcomes Use the first and/or second derivative tests and limits to analyze important features of the graph of a function. Recognize limits in indeterminate forms (quotient, product, difference, power) and apply L’Hospital’s Rule appropriately to evaluate them. Define the definite integral as a limit of Riemann sums. Describe the relationship between derivative and definite integral as expressed in both parts of the Fundamental Theorem of Calculus, and apply it to evaluate definite integrals using antiderivatives. Evaluate indefinite integrals, including u-substitution technique. Explain the concept of limit from a graphical, numerical, and algebraic point of view. Be able to illustrate and calculate limits of a variety of algebraic and transcendental functions, and limits involving infinity. Describe what it means for a function to be continuous. Identify various types of discontinuities. Compute a derivative using the definition. Find derivatives using differentiation rules and implicit differentiation. Recognize the derivative as a rate of change and a slope. Use derivatives to solve application problems such as optimization and related rates. Minnesota Transfer Curriculum (MNTC) Goals 04 - Mathematical/Logical Reasoning 02 - Critical Thinking
Prepares students for Multivariable Calculus ( MATH 2219 ). Is the second course in the two-semester sequence of single variable calculus. The topics include applications of the integral: area, volume, surface area, center of mass, work, liquid pressure and arc length; techniques of integration; improper integrals; conics; calculus in polar coordinates; calculus involving parametrically-defined curves; and infinite series. Familiarity with a computer algebra system is expected. Use of technology will be embedded throughout the course. Pre-Requisites MATH 1133 Major Content Areas Applications of the integral 20% Parametric and Polar curves, conics 20% Techniques of integration and improper integrals 35% Infinite series 25% Learning Outcomes Apply a variety of integration techniques including u-substitution, integration by parts, trigonometric substitution, and partial fractions. Graph functions in polar coordinates and fine slopes of tangent lines. Apply tests of convergence to determine the behavior of an infinite series. Determine convergence or divergence of an improper integral. Use definite integrals to solve problems such as finding area, work volume, arc length, fluid forces, and center of mass. Approximate a definite integral using Simpson’s Rule and/or the Trapezoid Rule Find Taylor series representations of basic functions. Find the slope of a line tangent to a parametric curve. Apply the definition of convergence to calculate the limit of a sequence or the sum of a convergent series. Minnesota Transfer Curriculum (MNTC) Goals 02 - Critical Thinking 04 - Mathematical/Logical Reasoning
Introduces number systems, coding schemes, formal logic, sets and relations, induction, recursion, recurrence relations, graphs, trees, and analysis of algorithms. Credit will not be awarded for both MATH 2100 and CS 2350 . Pre-Requisites A grade of C or higher in MATH 1119 , or MATH 1127 Major Content Areas Logic and Proof. Mathematical Induction. Elementary Set Theory. Relations and Functions. Recurrence Relations. Elementary Number Theory and applications. Elementary Graph Theory and applications. Combinations and Permutations. Algorithm Analysis. Trees. Learning Outcomes Perform computations using recursively defined functions and structures. Solve problems involving sets, relations, functions, and congruences. Illustrate the basic terminology and properties of graphs and trees. Use graphs and trees to solve problems algorithmically. Describe how symbolic logic can be used to model real-life situations or applications, including those arising in computing contexts. Examine the logical validity of arguments and proofs as they apply to Boolean expressions. Apply mathematical induction and other techniques to prove mathematical results. Use methods of combinatorics to solve counting and basic probability problems. Minnesota Transfer Curriculum (MNTC) Goals 04 - Mathematical/Logical Reasoning 02 - Critical Thinking
Extends concepts of single-variable calculus to calculus of several variables. The topics include vectors in three-dimensional space, quadric surfaces, limits in two and three dimensions, partial derivatives, gradients, extreme value problems, multiple integration and applications, space curves, curvature, The Frenet frame, divergence, curl, line integrals, conservative vector fields and potential functions, surface and volume integrals, Green’s, Stokes’ and the Divergence Theorems. Knowledge of computer algebra system is expected. Use of technology will be embedded throughout the course. Pre-Requisites MATH 1134 Major Content Areas Line integrals and surface 5% Space curves and motion in space 15% Polar, cylindrical, and spherical coordinates 10% Stokes’ Theorem & Divergence Theorem 10% Vector fields and operations on them 5% Limits and continuity of functions of several variables 5% Partial derivatives and gradients 10% Applications of partial derivatives 5% Double and triple integrals 15% Three dimensional analytic geometry 15% Learning Outcomes Compare and contrast the generalizations of the Fundamental Theorem of Calculus listed above. Fine derivatives of vector-valued functions and use those derivatives to describe an object’s motion. Use line integrals to calculate work done by a force field in moving an object along a curve. Compute gradients and directional derivatives and apply them to finding tangent spaces and normal lines. State and apply the Fundamental Theorem of Line Integrals, Green’s Theorem, Stokes’ Theorem, and the Divergence Theorem. Use partial derivatives and/or Lagrange multipliers to locate extreme values and saddles points of a function of several variables. Evaluate iterated integrals using rectangular, cylindrical, and spherical coordinate systems. Use triple integrals to solve3 problems such as calculating volume, center of mass, moments of inertia, and the expected value of a continuous random variable. Recognize vector fields. Compute and interpret curl, divergence, and flux. Explain the concepts of limits and continuity for real-valued functions of two or more variables. Minnesota Transfer Curriculum (MNTC) Goals 02 - Critical Thinking 04 - Mathematical/Logical Reasoning
Provides an introduction to linear algebra topics including: systems of linear equations, matrices, determinants, vector spaces, linear transformations, eigenvalues and eigenvectors, and selected applications. Familiarity with a computer algebra system is expected. Use of technology will be embedded throughout the course. Pre-Requisites MATH 1134 Major Content Areas Linear systems, linear independence and linear transformations of real vector spaces 30% Matrix theory, determinants, general vector spaces 40% Eigenvectors, eigenvalues, orthogonality 30% Learning Outcomes Construct bases for the row, column and null space of a matrix. Relate their dimensions to one another, and to the rank and nullity of the matrix. Determine whether a vector is in the span of a finite collection of vectors. Create and recognize row equivalent matrices and equal matrices. Demonstrate the understanding of simple proof techniques. Solve systems of linear equations using matrix methods including Gaussian Elimination, Gauss-Jordan Elimination, and by matrix equation representation. Write LU and elementary matrix factorizations of square matrices where defined. Perform operations on matrices including addition, subtraction, multiplication, transposition, and inversion. Compute, explain, and apply key properties and definitions related to eigenvalues and eigenvectors of a matrix. Evaluate inner products, construct and identify orthogonal sets of vectors and orthogonal matrices, and illustrate the Gram-Schmidt process. Compute the coordinate vector of a vector relative to a finite basis. Express the solution to Ax = b as a translation of the null space of A when Ax = b is consistent. Interpret the determinant of a matrix and its properties, and apply them to linear independence, areas, volumes, orientation, invertibility, Cramer’s Rule, and the adjoint of a matrix. Create a basis for a nonzero finite dimensional vector space and find its dimension. Construct matrix representations for linear transformations relative to various bases when the domain and codomain are finite dimensional over the same field, and create change of basis matrices. Identify symmetric, skew-symmetric, lower triangular, upper triangular, triangular, scalar, and diagonal matrices and apply their basic properties. Identify a vector space from the axioms, and prove that a non-empty subset of a vector space is a subspace. Prove or disprove that a given finite set of vectors is linearly independent. Minnesota Transfer Curriculum (MNTC) Goals 02 - Critical Thinking 04 - Mathematical/Logical Reasoning
Provides an introduction to ordinary differential equations. Topics include basic definitions, concepts and terminology of ordinary differential equations. Techniques of problem solving are emphasized. Specific topics covered include: solutions and applications of first-order differential equations, solutions of linear differential equations of higher order, applications of second-order linear differential equations, power series solutions, the Laplace transform, systems of linear differential equations, and an introduction to numerical and graphical methods of solution. Familiarity with a computer algebra system is expected. Use of technology will be embedded throughout the course. Pre-Requisites MATH 1134 Major Content Areas Solutions of first-order differential equations 15% Numerical and graphical methods of solution 15% Laplace transforms and their inverses 20% Solutions of higher order differential equations 15% Systems of linear differential equations 15% Applications of first and second-order differential equations 20% Learning Outcomes Solve boundary/initial value problems Recognize and work with first and second-orders linear and nonlinear DE. Apply series solutions of linear differential equations. Solve problems using the Laplace Transform. Recognize and work with higher-order differential Equations. Model real-life situations using first-order differential equations. Model real-life situations using higher-order differential equations. Express a dynamical system as a mathematical model. Find numerical solutions of ordinary Differential Equations including Euler’s Method. Solve systems of differential equations Use direction fields to illustrate solutions of differential equations. Apply Existence and Uniqueness Theorem Minnesota Transfer Curriculum (MNTC) Goals 02 - Critical Thinking 04 - Mathematical/Logical Reasoning
