MATH 062 - Review of Arithmetic

1. Add, subtract, multiply and divide whole numbers, fractions and decimals, solve application problems, and apply the order of operations.
2. Convert between percents, decimals and fractions, and solve percent problems and proportions.
3. Calculate square roots.
4. Calculate natural number exponents.
5. Understand and apply the appropriate geometry formulas involving perimeter, circumference, area and volumes of basic shapes.
6. Convert units of measurement within the standard and metric systems.

1. Recognize which quantitative or symbolic reasoning methods are appropriate for solving a given problem.
2. Correctly implement the quantitative or symbolic reasoning methods that are appropriate for solving a given problem.

• Quantitative and Symbolic Reasoning - Quantitative Reasoning encompasses abilities necessary for a student to become literate in today’s technological world. Quantitative reasoning begins with basic skills and extends to problem solving.

MATH 070 - Pre-Algebra

1. Perform operations with fractions, decimals, and integers in an algebraic environment including order of operations.
2. Apply geometry and measurement concepts including the Pythagorean theorem.
3. Perform operations with integer exponents.
4. Simplify basic polynomial expressions.
5. Solve simple equations.
6. Calculate basic descriptive statistics.
7. Graph points onto the Cartesian coordinate system.

1. Recognize which quantitative or symbolic reasoning methods are appropriate for solving a given problem.
2. Correctly implement the quantitative or symbolic reasoning methods that are appropriate for solving a given problem.
3. Translate data into various formats such as symbolic language, equations, graphs, and formulas.

• Quantitative and Symbolic Reasoning - Quantitative Reasoning encompasses abilities necessary for a student to become literate in today’s technological world. Quantitative reasoning begins with basic skills and extends to problem solving.

MATH 072 - Elementary Algebra

1. Solve linear equations, linear inequalities, systems of linear equations, and literal equations.
2. Convert between the graph and the equation of a line.
3. Simplify polynomials and expressions involving integer exponents.
4. Factor quadratic expressions.
5. Identify functions and use function notation.
6. Use unit analysis to convert measurements.
7. Solve ratio, rate, and proportional reasoning problems.
8. Apply the Pythagorean Theorem to solve problems.

1. Recognize which quantitative or symbolic reasoning methods are appropriate for solving a given problem.
2. Correctly implement the quantitative or symbolic reasoning methods that are appropriate for solving a given problem.
3. Translate data into various formats such as symbolic language, equations, graphs, and formulas.

• Quantitative and Symbolic Reasoning - Quantitative Reasoning encompasses abilities necessary for a student to become literate in today’s technological world. Quantitative reasoning begins with basic skills and extends to problem solving.

MATH 077 - Extended Elementary Algebra

1. Find real solutions for linear equations, using tables, graphs and algebra.
2. Solve literal equations.
3. Simplify expressions involving integer exponents.
4. Simplify, add, subtract, and multiply polynomials.
5. Factor quadratic trinomials.
6. Graph linear equations and derive equations for lines.
7. Use unit analysis to convert measurements.
8. Solve ratio, rate, and proportional reasoning problems.
9. Apply the Pythagorean Theorem to solve problems.
10. Use functions in the form of graphs, tables, and linear equations.
11. Solve systems of linear equations.
12. Apply real number properties and order of operations to solve equations.
13. Solve linear inequalities with one variable.

1. Recognize which quantitative or symbolic reasoning methods are appropriate for solving a given problem.
2. Correctly implement the quantitative or symbolic reasoning methods that are appropriate for solving a given problem.
3. Translate data into various formats such as symbolic language, equations, graphs, and formulas.

• Quantitative and Symbolic Reasoning - Quantitative Reasoning encompasses abilities necessary for a student to become literate in today’s technological world. Quantitative reasoning begins with basic skills and extends to problem solving.

MATH 097 - Intermediate Algebra

1. Identify and graph functions and interpret function notation.
2. Solve rational, radical, and quadratic equations.
3. Perform operations with rational, radical, and quadratic equations and expressions containing rational exponents.
4. Derive linear and quadratic equations.
5. Apply the mathematical techniques of the course to practical applications.

1. Recognize which quantitative or symbolic reasoning methods are appropriate for solving a given problem.
2. Correctly implement the quantitative or symbolic reasoning methods that are appropriate for solving a given problem.
3. Translate data into various formats such as symbolic language, equations, graphs, and formulas.

• Quantitative and Symbolic Reasoning - Quantitative Reasoning encompasses abilities necessary for a student to become literate in today’s technological world. Quantitative reasoning begins with basic skills and extends to problem solving.

MATH 106 - Essentials of Pre-Calculus Mathematics

1. Understand and use function notation and terminology.
2. Perform operations with combinations and compositions of functions as well as inverse functions.
3. Analyze graphical behavior of functions, including transformations.
4. Graph and identify important properties of piecewise, power, polynomial, rational, exponential, and logarithmic functions.
5. Graph and understand the properties of trigonometric functions and their inverse functions.
6. Apply the triangle definitions of the trigonometric functions.
7. Apply trigonometric identities.
8. Solve equations and application problem.

1. Recognize which quantitative or symbolic reasoning methods are appropriate for solving a given problem.
2. Correctly implement the quantitative or symbolic reasoning methods that are appropriate for solving a given problem.
3. Translate data into various formats such as symbolic language, equations, graphs, and formulas.

• Quantitative and Symbolic Reasoning - Quantitative Reasoning encompasses abilities necessary for a student to become literate in today’s technological world. Quantitative reasoning begins with basic skills and extends to problem solving.

MATH& 107 - Math in Society

Credits: 5
Study of a variety of mathematical topics that include finance, statistics, and probability. Additional topics may include voting theory, fair division, networks, scheduling, apportionment and other fields.

Prerequisite: MATH 097  with a grade of 2.0 or higher; or appropriate math placement.

Satisfies Requirement: Natural Science and Quantitative Skills

Course Outcomes:
Students who successfully complete this class will be able to:

1. Calculate compound interest income and effective interest rate.
2. Calculate payments for the amortization of a loan, and set up an ordinary annuity.
3. Describe different types of samples of a population.
4. Analyze data from censuses, surveys, and comparative experiments.
5. Graph data using box plots and histograms.
6. Calculate and analyze descriptive statistics including mean, median, standard deviation, and quartiles.
7. Describe sample spaces and calculate the probability of events in a random experiment.
8. Graph and analyze data that has an approximate normal distribution.
9. Solve modern application problems.

1. Recognize which quantitative or symbolic reasoning methods are appropriate for solving a given problem.

2. Correctly implement the quantitative or symbolic reasoning methods that are appropriate for solving a given problem.

3. Translate data into various formats such as symbolic language, equations, graphs, and formulas.

• Quantitative and Symbolic Reasoning - Quantitative Reasoning encompasses abilities necessary for a student to become literate in today’s technological world. Quantitative reasoning begins with basic skills and extends to problem solving.

MATH 108 - Contemporary Math for Information Technology

1. Solve routing problems using Euler circuits, Hamilton circuits, minimum network problems using spanning trees and scheduling problems using directed graphs.
2. Calculate and analyze descriptive statistics including mean, median, standard deviation, and quartiles.
3. Describe sample spaces and calculate the probability of events in a random experiment.
4. Graph and analyze data that has an approximate normal distribution.
5. Convert between decimal, binary and hexadecimal numbers.
6. Perform addition, subtraction, and multiplication on binary numbers.
7. Write truth tables and Boolean algebra expressions for simple combinations of logic gates.
8. Simplify simple logic gate circuits using Boolean algebra, DeMorgan’s Theorem and the Duality Theorem.

1. Recognize which quantitative or symbolic reasoning methods are appropriate for solving a given problem.
2. Correctly implement the quantitative or symbolic reasoning methods that are appropriate for solving a given problem.
3. Translate data into various formats such as symbolic language, equations, graphs, and formulas.

• Quantitative and Symbolic Reasoning - Quantitative Reasoning encompasses abilities necessary for a student to become literate in today’s technological world. Quantitative reasoning begins with basic skills and extends to problem solving.

MATH& 141 - PreCalculus I

Credits: 5
Study of piecewise, power, polynomial, rational, exponential, and logarithmic functions and their applications; algebraic combinations of functions; composition of functions; inverse functions; transformations. Graphing calculator required.

Prerequisite: MATH 097  with a grade of 2.5 or higher; or appropriate math placement.

Satisfies Requirement: Natural Science and Quantitative Skills

Course Outcomes:
Students who successfully complete this class will be able to:

1. Understand and use function notation and terminology.
2. Perform operations with combinations and compositions of functions as well as inverse functions.
3. Analyze graphical behavior of functions, including transformations.
4. Graph and identify important properties of piecewise, power, polynomial, rational, exponential, logarithmic and absolute value functions.
5. Solve equations, inequalities and application problems.

1. Recognize which quantitative or symbolic reasoning methods are appropriate for solving a given problem.

2. Correctly implement the quantitative or symbolic reasoning methods that are appropriate for solving a given problem.

3. Translate data into various formats such as symbolic language, equations, graphs, and formulas.

• Quantitative and Symbolic Reasoning - Quantitative Reasoning encompasses abilities necessary for a student to become literate in today’s technological world. Quantitative reasoning begins with basic skills and extends to problem solving.

MATH& 142 - PreCalculus II

1. Graph and understand the properties of trigonometric functions and their inverse functions.
2. Apply the triangle definitions of the trigonometric functions.
3. Apply trigonometric identities.
4. Solve trigonometric equations.
5. Analyze and graph parametric and polar equations, and conic sections.
6. Graph and perform basic operations with vectors.
7. Solve application problems.

1. Recognize which quantitative or symbolic reasoning methods are appropriate for solving a given problem.
2. Correctly implement the quantitative or symbolic reasoning methods that are appropriate for solving a given problem.
3. Translate data into various formats such as symbolic language, equations, graphs, and formulas.

• Quantitative and Symbolic Reasoning - Quantitative Reasoning encompasses abilities necessary for a student to become literate in today’s technological world. Quantitative reasoning begins with basic skills and extends to problem solving.

MATH& 146 - Introduction to Statistics

1. Define and use common statistical terminology.
2. Identify the major categories of experimental designs and sampling methods.
3. Identify common sources of bias in surveys and experiments.
4. Construct and interpret frequency distributions, histograms, scatterplots, and box plots.
5. Calculate and interpret measures of center and spread.
6. Use correlation and linear regression to find the association between variables.
7. Explain and apply the central limit theorem.
8. Calculate confidence intervals for means and proportions.
9. Perform t-tests for single means and Chi Square tests.

1. Recognize which quantitative or symbolic reasoning methods are appropriate for solving a given problem.
2. Correctly implement the quantitative or symbolic reasoning methods that are appropriate for solving a given problem.
3. Translate data into various formats such as symbolic language, equations, graphs, and formulas.

• Quantitative and Symbolic Reasoning - Quantitative Reasoning encompasses abilities necessary for a student to become literate in today’s technological world. Quantitative reasoning begins with basic skills and extends to problem solving.

MATH 147 - Finite Mathematics-Business and Social Science

1. Solve systems of linear equations.
2. Interpret the results of solutions to equations and inequalities.
3. Perform matrix operations.
4. Solve linear inequalities and linear programming problems.
5. Solve equations involving quadratic, polynomial, rational, exponential or logarithmic functions.
6. Use interest and annuity formulas to solve finance problems.
7. Use function notation and terminology.

1. Recognize which quantitative or symbolic reasoning methods are appropriate for solving a given problem.
2. Correctly implement the quantitative or symbolic reasoning methods that are appropriate for solving a given problem.
3. Translate data into various formats such as symbolic language, equations, graphs, and formulas.

• Quantitative and Symbolic Reasoning - Quantitative Reasoning encompasses abilities necessary for a student to become literate in today’s technological world. Quantitative reasoning begins with basic skills and extends to problem solving.

MATH& 148 - Business Calculus

Credits: 5
Study of differential and integral calculus of polynomial, logarithmic and exponential functions. Many problems and examples are drawn from the fields of business, economics, and social science. Graphing calculator required.

Prerequisite: MATH& 141  or MATH 147  with a grade of 2.0 or higher; or appropriate math placement.

Satisfies Requirement: Natural Science and Quantitative Skills

Course Outcomes:
Students who successfully complete this class will be able to:

1. Calculate the average and instantaneous rates of change.
2. Apply and interpret the limit definition of the derivative.
3. Apply rules for differentiation.
4. Solve related rates problems.
5. Apply the first and second derivative tests and interpret their graphical implications.
6. Set up and solve optimization problems.
7. Find antiderivatives of polynomials and exponential functions.
8. Use Riemann sums to estimate the definite integral.
9. State and apply the Fundamental Theorem of Calculus.
10. Apply integration to problems in business and economics.
11. Calculate partial derivatives.

1. Recognize which quantitative or symbolic reasoning methods are appropriate for solving a given problem.

2. Correctly implement the quantitative or symbolic reasoning methods that are appropriate for solving a given problem.

3. Translate data into various formats such as symbolic language, equations, graphs, and formulas.

• Quantitative and Symbolic Reasoning - Quantitative Reasoning encompasses abilities necessary for a student to become literate in today’s technological world. Quantitative reasoning begins with basic skills and extends to problem solving.

MATH& 151 - Calculus I

Credits: 5
The first course of a four-quarter calculus sequence. Introduces students to differential calculus and related applications. Topics include limits, derivatives of algebraic and transcendental functions, optimization, linearization, numerical methods, modeling. Graphing calculator required.

Prerequisite: MATH& 142  or MATH 106  with a grade of 2.0 or higher; or appropriate placement math placement.

Satisfies Requirement: Natural Science and Quantitative Skills

Course Outcomes:
Students who successfully complete this class will be able to:

1. Evaluate limits of functions and use limits to determine continuity.
2. Find the derivative of functions using the definition, and understand the derivative as a rate of change.
3. Find the derivatives of functions including exponential, logarithmic, and trigonometric.
4. Apply the various rules and techniques of differentiation such as the power, product, quotient, chain rules, and implicit differentiation.
5. Apply derivatives to solve application problems, and determine the behavior of functions.

1. Recognize which quantitative or symbolic reasoning methods are appropriate for solving a given problem.

2. Correctly implement the quantitative or symbolic reasoning methods that are appropriate for solving a given problem.

3. Translate data into various formats such as symbolic language, equations, graphs, and formulas.

• Quantitative and Symbolic Reasoning - Quantitative Reasoning encompasses abilities necessary for a student to become literate in today’s technological world. Quantitative reasoning begins with basic skills and extends to problem solving.

MATH& 152 - Calculus II

Credits: 5
The second course of a four-quarter calculus sequence. Introduces students to integral calculus and related applications. Topics include antiderivatives of algebraic and transcendental functions, the Fundamental Theorem of Calculus, techniques of integration, areas, volumes, moments and centers of mass, numerical methods. Graphing calculator required.

Prerequisite: MATH& 151  with a grade of 2.0 or higher; or appropriate math placement.

Satisfies Requirement: Natural Science and Quantitative Skills

Course Outcomes:
Students who successfully complete this class will be able to:

1. Use Riemann sums to find areas and define an integral.
2. Apply the Fundamental Theorem of Calculus.
3. Find antiderivatives using a variety of techniques including substitution, tables, integration by parts and partial fractions.
4. Approximate definite integrals using numerical techniques, such as the trapezoid rule, Simpson’s method, calculator/computer programs, and geometry.
5. Apply integration techniques to solve problems involving areas, volumes, arc length, centroids, average value, and introductory differential equations.
6. Find limits using l’Hopital’s rule.
7. Evaluate improper integrals.

1. Recognize which quantitative or symbolic reasoning methods are appropriate for solving a given problem.

2. Correctly implement the quantitative or symbolic reasoning methods that are appropriate for solving a given problem.

3. Translate data into various formats such as symbolic language, equations, graphs, and formulas.

• Quantitative and Symbolic Reasoning - Quantitative Reasoning encompasses abilities necessary for a student to become literate in today’s technological world. Quantitative reasoning begins with basic skills and extends to problem solving.

MATH& 153 - Calculus III

Credits: 5
The third course of a four-quarter calculus sequence. Introduces students to sequences, series, and higher-dimensional space. Topics include convergence tests; vectors; analytic geometry; vector-valued functions. Graphing calculator required.

Prerequisite: MATH& 152  with a grade of 2.0 or higher; or appropriate math placement.

Satisfies Requirement: Natural Science and Quantitative Skills

Course Outcomes:
Students who successfully complete this class will be able to:

1. Find limits of sequences.
2. Apply basic convergence tests for series.
3. Find or approximate the sums of convergent series.
4. Represent functions as power series.
5. Use Taylor polynomials to approximate functions.
6. Apply dot and cross products to applications involving geometry and science.
7. Write equations of lines and planes using vectors.
8. Recognize basic three dimensional surfaces such as paraboloids, hyperboloids, and ellipsoids.
9. Determine domain and limits for vector-valued functions.
10. Compute and apply the derivative and antiderivative of a vector function.

 
Program Outcomes

1. Recognize which quantitative or symbolic reasoning methods are appropriate for solving a given problem.

2. Correctly implement the quantitative or symbolic reasoning methods that are appropriate for solving a given problem.

3. Translate data into various formats such as symbolic language, equations, graphs, and formulas.

• Quantitative and Symbolic Reasoning - Quantitative Reasoning encompasses abilities necessary for a student to become literate in today’s technological world. Quantitative reasoning begins with basic skills and extends to problem solving.

MATH& 171 - Mathematics for Elementary Education I

1. Apply problem solving models to number system concepts.
2. Identify sources of mathematics standards and summarize major strands of NCTM or Washington state standards.
3. Apply knowledge about features of our base ten number system to analyze other number systems and recognize common error patterns that arise when children are learning our number system.
4. Describe the concept of a whole number as well as relationships between them (order, divisibility, factorization, and common factors/multiples).
5. Use a variety of different algorithms and mental math for operations with whole numbers, integers and fractions.
6. Use manipulatives to represent the operations with whole numbers, integers and fractions.
7. Analyze common error patterns in students’ computations and demonstrate how alternative algorithms can reduce those errors.

1. Recognize which quantitative or symbolic reasoning methods are appropriate for solving a given problem.
2. Correctly implement the quantitative or symbolic reasoning methods that are appropriate for solving a given problem.
3. Translate data into various formats such as symbolic language, equations, graphs, and formulas.

• Quantitative and Symbolic Reasoning - Quantitative Reasoning encompasses abilities necessary for a student to become literate in today’s technological world. Quantitative reasoning begins with basic skills and extends to problem solving.

MATH& 172 - Mathematics for Elementary Education II

1. Describe and use multiple problem-solving strategies to solve a variety of problems.
2. Define concepts of length, area, surface area, and volume, and then compute these values for regular and irregular 2-D and 3-D objects.
3. Describe advantages and disadvantages of both standard and nonstandard units.
4. Identify and use sources of technology as it relates to learning and teaching mathematics.
5. Identify sources of mathematics standards and summarize major strands of the NCTM Standards or Washington State standards.
6. Compare and contrast the concepts of congruence and similarity, describe conditions for congruence or similarity of triangles, and use those concepts to prove or justify geometric claims.

1. Recognize which quantitative or symbolic reasoning methods are appropriate for solving a given problem.
2. Correctly implement the quantitative or symbolic reasoning methods that are appropriate for solving a given problem.
3. Translate data into various formats such as symbolic language, equations, graphs, and formulas.

• Quantitative and Symbolic Reasoning - Quantitative Reasoning encompasses abilities necessary for a student to become literate in today’s technological world. Quantitative reasoning begins with basic skills and extends to problem solving.

MATH& 173 - Mathematics for Elementary Education III

Credits: 5
Study of the fundamental nature of the real number system and its subsystems, applications of basic probability and statistics, and problem solving. Recommended for prospective or practicing elementary and middle school teachers, paraeducators, parents, and others who help educate children in grades K-8.

Prerequisite: MATH& 171  with a grade of 2.0 or higher or appropriate math placement.

Satisfies Requirement: Natural Science and Quantitative Skills

Course Outcomes:
Students who successfully complete this class will be able to:

1. Use various algorithms, mental computations, and electronic computing techniques for solving problems dealing with decimals and algebraic functions.
2. Apply problem-solving techniques to basic concepts involving probability and statistics.
3. Apply concepts of statistics when gathering appropriate data, organizing information in charts or graphs, and interpreting information from displays of data.
4. Apply probability techniques of experimentation and simulation in making hypotheses, testing conjectures, and refining theories.
5. Understand the role of technology as it relates to learning and teaching mathematics.
6. Implement strategies for K-8 students to learn each of the above mathematics concepts.

1. Recognize which quantitative or symbolic reasoning methods are appropriate for solving a given problem.

2. Correctly implement the quantitative or symbolic reasoning methods that are appropriate for solving a given problem.

3. Translate data into various formats such as symbolic language, equations, graphs, and formulas.

• Quantitative and Symbolic Reasoning - Quantitative Reasoning encompasses abilities necessary for a student to become literate in today’s technological world. Quantitative reasoning begins with basic skills and extends to problem solving.

MATH 194 - Special Topics-Mathematics

Credits: 1-5
Study of specialized mathematical topics. Topics presented depend upon interest and staffing. Possible areas of study include number theory, probability, logic, mathematics for parents, and computer applications. This is a pass/no credit course.

Prerequisite: Instructor’s permission and eligible for READ 104 .

Course Outcomes:
Students who successfully complete this class will be able to:

1. Demonstrate an in-depth understanding of a specific topic.
2. Design and execute a research project to explore the topic.

1. Recognize which quantitative or symbolic reasoning methods are appropriate for solving a given problem.

2. Correctly implement the quantitative or symbolic reasoning methods that are appropriate for solving a given problem.

3. Translate data into various formats such as symbolic language, equations, graphs, and formulas.

• Quantitative and Symbolic Reasoning - Quantitative Reasoning encompasses abilities necessary for a student to become literate in today’s technological world. Quantitative reasoning begins with basic skills and extends to problem solving.

MATH 210 - Discrete Mathematics

Credits: 5
Study of proofs; one-to-one, onto, inverse and composite functions; properties of relations; sets including cardinality, countability and the Pigeonhole Principle; Boolean algebras including de Morgans Laws; logic including propositional logic and digital logic; and counting techniques including permutations and combination.

Prerequisite: MATH 106  or MATH& 142  with a grade of 2.0 or higher; or appropriate math placement.

Satisfies Requirement: Natural Science and Quantitative Skills

Course Outcomes:
Students who successfully complete this class will be able to:

1. Describe sets and apply set operations.
2. Diagram truth values of propositions using truth tables.
3. Combine propositions using logical connectives.
4. Apply De Morgan’s Laws in Boolean Algebra.
5. Prove and disprove propositions using direct proof, indirect proof, and mathematical induction.
6. Count using permutations, combinations, and binomial coefficients.
7. Identify and classify relations between sets.
8. Prove elementary theorems in Number Theory.

 
Program Outcomes

1. Recognize which quantitative or symbolic reasoning methods are appropriate for solving a given problem.
2. Correctly implement the quantitative or symbolic reasoning methods that are appropriate for solving a given problem.
3. Translate data into various formats such as symbolic language, equations, graphs, and formulas.

• Quantitative and Symbolic Reasoning - Quantitative Reasoning encompasses abilities necessary for a student to become literate in today’s technological world. Quantitative reasoning begins with basic skills and extends to problem solving.

MATH 238 - Differential Equations

Credits: 5
Study of the theory and solutions of first and second order differential equations, existence and uniqueness theorems, numerical methods of solution, and applications. Additional topics may be chosen from the following: series solutions for differential equations, systems of linear differential equations, Laplace transforms, and stability theory. Graphing calculator required.

Prerequisite: MATH& 254  with a grade of 2.0 or higher; or appropriate math placement.

Satisfies Requirement: Natural Science and Quantitative Skills

Course Outcomes:
Students who successfully complete this class will be able to:

1. Solve separable, exact and linear first order differential equations.
2. Solve higher order linear or Cauchy-Euler differential equations.
3. Apply the theory of differential equations to solve problems from various disciplines.
4. Apply the existence and uniqueness theorems to first and second order equations.
5. Apply direction fields and numerical methods to approximate solutions.

1. Recognize which quantitative or symbolic reasoning methods are appropriate for solving a given problem.

2. Correctly implement the quantitative or symbolic reasoning methods that are appropriate for solving a given problem.

3. Translate data into various formats such as symbolic language, equations, graphs, and formulas.

• Quantitative and Symbolic Reasoning - Quantitative Reasoning encompasses abilities necessary for a student to become literate in today’s technological world. Quantitative reasoning begins with basic skills and extends to problem solving.

MATH 240 - Topics in Linear Algebra

Credits: 5
Study of systems of linear equations, vector spaces, matrices and matrix equations, eigenvalues and eigenvectors, linear transformations, and applications. Graphing calculator required.

Prerequisite: MATH& 153  with a grade of 2.0 or higher; or appropriate math placement.

Satisfies Requirement: Natural Science and Quantitative Skills

Course Outcomes:
Students who successfully complete this class will be able to:

1. Describe the solution set of a system of linear equations.
2. Apply Gaussian and Gauss-Jordan elimination.
3. Find the inverse of an invertible matrix.
4. Apply equivalent properties of matrix invertibility.
5. Identify vector spaces.
6. Find a basis for a vector space.
7. Normalize a set of vectors.
8. Find and apply the eigenvalues and eigenvectors of a matrix.
9. Find the least squares approximation of a system of linear equations.
10. Identify and apply linear transformations.

1. Recognize which quantitative or symbolic reasoning methods are appropriate for solving a given problem.

2. Correctly implement the quantitative or symbolic reasoning methods that are appropriate for solving a given problem.

3. Translate data into various formats such as symbolic language, equations, graphs, and formulas.

• Quantitative and Symbolic Reasoning - Quantitative Reasoning encompasses abilities necessary for a student to become literate in today’s technological world. Quantitative reasoning begins with basic skills and extends to problem solving.

MATH& 254 - Calculus IV

Credits: 5
The fourth course of a four-quarter calculus sequence. Introduces students to functions of two and three variables; limits and continuity; partial differentiation; gradients; multiple integration; iterated integrals; vector analysis including such topics as divergence, curl, line integrals, and the fundamental theorems of vector calculus. Graphing calculator required.

Prerequisite: MATH& 153  with a grade of 2.0 or higher; or appropriate math placement.

Satisfies Requirement: Natural Science and Quantitative Skills

Course Outcomes:
Students who successfully complete this class will be able to:

1. Determine domains, ranges, limits and continuity for multivariate functions.
2. Compute and apply partial derivatives.
3. Compute and apply double and triple integrals.
4. Convert rectangular integrals into polar, cylindrical or spherical integrals.
5. Compute and apply line integrals.
6. Find the divergence and curl for vector fields.
7. Compute surface integrals using Stokes’ Theorem and the Divergence Theorem.

1. Recognize which quantitative or symbolic reasoning methods are appropriate for solving a given problem.

2. Correctly implement the quantitative or symbolic reasoning methods that are appropriate for solving a given problem.

3. Translate data into various formats such as symbolic language, equations, graphs, and formulas.

• Quantitative and Symbolic Reasoning - Quantitative Reasoning encompasses abilities necessary for a student to become literate in today’s technological world. Quantitative reasoning begins with basic skills and extends to problem solving.

MATH 256 - Statistics for Business and Social Science

Credits: 5
Study of descriptive and inferential statistics; boxplots, histograms and scatterplots; introduction to design of experiments; measures of central tendency; frequency distributions; probability distributions; sampling and sampling distributions; hypothesis testing; confidence intervals; and linear regression.

Prerequisite: MATH 106,  MATH& 141  or MATH 147  with a grade of 2.0 or higher; or appropriate math placement. Recommended: Eligible for READ 104 .

Satisfies Requirement: Natural Science and Quantitative Skills

Course Outcomes:
Students who successfully complete this class will be able to:

1. Define and use common statistical terminology.
2. Identify the major categories of experimental designs and sampling methods.
3. Identify common sources of bias in surveys and experiments.
4. Construct and interpret frequency distributions, histograms, pie charts, and box plots.
5. Calculate and interpret the measures of center and spread.
6. Carry out a linear regression analysis of paired data.
7. State and apply the basic axioms and theorems of probability.
8. State and apply the central limit theorem.
9. Calculate confidence intervals and conduct hypothesis tests for one and two samples using the standard normal, Student-t, and Chi square distributions.

1. Recognize which quantitative or symbolic reasoning methods are appropriate for solving a given problem.

2. Correctly implement the quantitative or symbolic reasoning methods that are appropriate for solving a given problem.

3. Translate data into various formats such as symbolic language, equations, graphs, and formulas.

• Quantitative and Symbolic Reasoning - Quantitative Reasoning encompasses abilities necessary for a student to become literate in today’s technological world. Quantitative reasoning begins with basic skills and extends to problem solving.

MATH 294 - Special Topics in Mathematics

Credits: 1-5
Focuses on special topics in math that are not part of the regular curriculum. Content varies from course to course.

Prerequisite: Instructor’s permission.

Course Outcomes:
Students who successfully complete this class will be able to:

1. Demonstrate an in-depth understanding of a specific topic.
2. Design and execute a research project to explore the topic.

1. Recognize which quantitative or symbolic reasoning methods are appropriate for solving a given problem.

2. Correctly implement the quantitative or symbolic reasoning methods that are appropriate for solving a given problem.

3. Translate data into various formats such as symbolic language, equations, graphs, and formulas.

• Quantitative and Symbolic Reasoning - Quantitative Reasoning encompasses abilities necessary for a student to become literate in today’s technological world. Quantitative reasoning begins with basic skills and extends to problem solving.

MATH 297 - Independent Study-Mathematics

1. Recognize which quantitative or symbolic reasoning methods are appropriate for solving a given problem.
2. Correctly implement the quantitative or symbolic reasoning methods that are appropriate for solving a given problem.
3. Translate data into various formats such as symbolic language, equations, graphs, and formulas.

• Quantitative and Symbolic Reasoning - Quantitative Reasoning encompasses abilities necessary for a student to become literate in today’s technological world. Quantitative reasoning begins with basic skills and extends to problem solving.