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# Math Courses & Modalities

The Math Department offers many of its math courses in a variety of modalities, such as:

- Face-to-Face (traditional)
- Emporium
- Online
- Blended
- Accelerated
- Remote
- Evening
- Corequisite (
*New!*)

Visit the registration page for a complete list of course modalities and descriptions.

**Note: An approved proctored exam is required for an online math course.**

- Emporium Courses - MAT 090, MAT 095, & MAT 099 only
**What is an Emporium math class like?**

An Emporium math class is like an online course that is completed in a computer classroom at QCC. Students will practice their math skills using software that will enable them to view examples, get help solving problems, and watch videos of teachers explaining material and modeling problems. Since the course will meet at QCC, students will also have a teacher in the classroom to answer questions and provide individualized instruction. The teacher may also provide mini-lectures and/or facilitate group activities.**Are Emporium math classes flexible and/or personalized?**

One of the great things about an Emporium class, is that students are allowed to accelerate through the course at their own pace (as long as they meet or surpass the minimum due dates listed in the syllabus). Students will also have the option of taking a pre-test before every module in the course. If the student scores at least an 80% on a pre-test, they will be able to skip the module, leaving them with more time to spend on topics they do not yet understand.**Note: All module tests will be proctored.**The student will also be required to earn a grade of at least 80% on each module test and non-media homework assignment, in order to advance throughout the course. In order to earn the 80%, multiple attempts on homework problems and module tests are allowed. Students will be able to ask questions and practice similar examples in between attempts, until they are ready to try again. The flexibility in the course allows students to truly have a personalized experience. Students are in charge of setting their own goals for how fast they move through the course.

As an added bonus, if the student completes all three module tests with a grade of at least 80% on each, they will have satisfied the final exam requirement for the course and will not need to take an additional final exam during the final exam period. However, if the student does not finish all three modules in the course, they will need to take the final exam during the final exam period, in order to try to pass the course. The minimum passing grade in a developmental course is a “C.” If the student does not finish a course in a single semester and they do not withdraw from the learning experience, their completed module progress will be saved until the following semester. So, the student can then take another Emporium section of the course (in the following semester), and continue working at the beginning of the module they did not complete.

**Attendance—Including Additional, Weekly Session Requirement**

Please remember that this is NOT an online course. Since receiving additional explanation/help from the instructor is expected and encouraged, live attendance in this course is required. Students will be responsible for attending classroom meetings and an additional, 50-minute session each week. In the Fall/Spring semester, the additional weekly session is required during weeks 3-14, and the requirement can be waived if the student is at least a full week ahead in the course. The additional weekly session is provided free of charge and is a requirement to help ensure students are spending enough time working on math in an environment that has all the necessary technology and assistance to help them succeed. During the extra session, students will continue working through their course. If the student ever misses a class or cannot complete an extra session during a particular week, they can make up the missed time in the following week. Students are allowed to complete the extra weekly session during another Emporium class, the Emporium open lab, or while visiting the Math Center. To view the Math Center hours, please refer to the Math Center website. For additional emporium class and open lab times, please check with the course instructor.**Note: Students are not allowed to complete module tests in the Math Center.****What supplies are needed for Emporium classes?**

In terms of supplies for the course, students will need an Access Code to use MyLab Math. Students will also need the corresponding Video Organizer (which is a notebook that contains the information from the lecture videos), and a pair of headphones/earbuds to connect to the computer to listen to video lectures during class. Please go to the QCC Bookstore's website to view the Video Notebook and MyLab Math Access Code information for each particular course on the QCC Bookstore Website. If the student is in MAT 095 (Beginning Algebra) or MAT 099 (Intermediate Algebra) and would like to use a handheld, scientific (non-graphing calculator), they will be allowed to use it on any assignment after Module 4. (We recommend the TI-30XIIS calculator.)**Are there any other advantages of taking an Emporium math class?**

Another*major*advantage of taking an Emporium math class is that if a student finishes their math course early and needs to take another developmental math course, the student can move into the next developmental math course forfor the remainder of the current semester. If a student is advancing from MAT 090 to MAT 095, the student will only need to pay for additional course materials (i.e. a new access code and video organizer). However, if a student is advancing from MAT 095 to MAT 099, these courses use the same course materials, and there would be no need to pay for additional course materials.*FREE*If you are planning on completing MAT 095 or MAT 099 by the half-way point in the semester, another option may also be to enroll in (and pay for) a college-level (non-developmental) math course for the second-half of the semester. This could possibly help you to complete your math requirement for graduation more quickly. QCC academic advisors can discuss which additional course option would be most appropriate for a particular plan of study.

- Corequisite Courses
**This video gives a general idea of the corequisite model:****What is a corequisite math course?**

Typically, math courses have a prerequisite course (i.e. MAT 095 must be completed with a grade of C or higher to enroll in MAT 099) for the purposes and understanding that students enter a math course with prior knowledge and skills to be successful in the subsequent course. However, in a corequisite college-level math course, prior knowledge or skills are*not*required. The math knowledge and skills necessary for success in the college-level math course are taught concurrently (or*just-in-time*) with the college-level material.**What advantages are there to taking a corequisite math course?**

Corequisite math courses can save students time and money! Look at this comparison between the Original model versus the Corequisite model for MAT 121 Topics in Math*or*MAT 122 Statistics.**approximate cost and subject to change***What does Just-In-Time remediation look like?**

Instructors know which remediation math skills are necessary for success in college-level math. These specific remediation skills are taught and/or reviewed immediately (or*just-in-time*) before a college-level topic is taught. Instructors assume that students in their corequisite math courses will need to review or be taught these remediation skills throughout the course. These skills are targeted toward understanding and successful completion of college-level math.For example:

- in a corequisite MAT 121 Topics in Math course, students are shown and review the correct order of operations (PEMDAS) to evaluate a given math expression. This remediation skill is needed to correctly calculate the future value of financial formulas.
- in a corequisite MAT 122 Statistics course, students are shown and review the correct way to round a given decimal value to the nearest hundredth or thousandth. This remediation skill is taught/reviewed just before the concept of probability is covered.

Just-in-time corequisite remediation is

*not*an entire developmental math course. In other words, all the content of MAT 095 Beginning Algebra is not included in corequisite MAT 121 Topics in Math or MAT 122 Statistics. Instead, a few targeted remedial topics are pulled from our developmental math courses (MAT 090, MAT 095, or MAT 099) and are covered just-in-time within the college-level corequisite math course.**Why are corequisite courses 5 credits?**

Because extra class time is necessary for just-in-time remediation, our corequisite math courses are a total 5 credits. This consists of 3 credits of college-level math + 2 credits of remediation. The 3-credit college-level math course may apply towards QCC graduation requirements and/or is transferrable to other institutions. The extra 2 credits of remediation do not apply towards graduation, nor are they transferrable.**Are there any other advantages of taking a corequisite math class?**

Yes! Knowing that students in our corequisite math courses will need extra support, embedded tutors are directly placed into each section. These embedded tutors are friendly peer tutors from our own Math Center. Tutors will attend class on a weekly basis and be actively involved in assisting students with both the remediation topics/skills and the college-level material during class or after class in the Math Center.Also, students are

*not*required to take the QMAT placement test prior to enrolling in corequisite MAT 121 Topics in Math or corequisite MAT 122 Statistics. All students are welcome into a corequisite MAT 121 or corequisite MAT 122 course!### Please contact Academic Advising for more information.

The Math Department offers a variety of math courses, ranging from developmental math courses to calculus-based courses.

- Developmental Math Courses
## Developmental Math Courses

| MAT 051 Sample Syllabus**MAT 051 Topics in Mathematics Corequisite****Corequisite:**MAT 121 Topics in Mathematics

Credits: 2*(NOTE: This developmental course cannot be used to satisfy degree or certificate requirements)*

The course covers various topics in developmental mathematics to support students enrolled in MAT 121. Students apply remedial mathematics topics such as fractions, decimals, percent, order of operations, scientific notation, exponential notation, and solving equations to strengthen comprehension of college level topics in MAT 121. This course requires co-enrollment with MAT 121.| MAT 052 Sample Syllabus**MAT 052 Statistics Corequisite****Corequisite:**MAT 122 Statistics

Credits: 2*(NOTE: This developmental course cannot be used to satisfy degree or certificate requirements)*

The course covers various topics in developmental mathematics to support students enrolled in MAT 122. Students apply remedial mathematics topics such as fractions, decimals, percent, proportion, scientific notation, coordinates, slope, graphing of linear equations, and mathematical phrasing just-in-time to strengthen comprehension of statistical concepts. This course requires co-enrollment with MAT 122.| MAT 090 Sample Syllabus*MAT 090 Basic Mathematics Skills***Prerequisite**: Appropriate placement score

**Credits**: 3*(NOTE: This developmental course cannot be used to satisfy degree or certificate requirements)*

This course is designed for students with little or no background in mathematics. Major topics include the following: whole numbers, fractions, decimals, percents, ratios, proportions, basic statistics (finding mean and reading graphs, charts and tables) and an introduction to algebra. Technology tools are utilized in this course.| MAT 095 Sample Syllabus*MAT 095 Beginning Algebra***Prerequisite**: MAT 090 with a grade of C or higher; or appropriate placement score

**Credits**: 3*(NOTE: This developmental course cannot be used to satisfy degree or certificate requirements)*

This course covers all basic operations of real numbers, linear and literal equations, graphing lines (using tables, x and y-intercepts), the arithmetic of polynomial expressions including properties of exponents, solving and graphing linear inequalities, perimeters and areas of basic figures, scientific notation and intrasystem metric conversions. Technology tools are utilized in this course.| MAT 099 Sample Syllabus*MAT 099 Intermediate Algebra***Prerequisite**: MAT 095 with a grade of C or higher; or appropriate placement score

**Credits**: 3*(NOTE: This developmental course cannot be used to satisfy degree or certificate requirements)*

The course covers major topics in the study of algebra. Students learn to factor polynomials (common factor, grouping, difference of squares and trinomials), perform arithmetic operations on rational expressions and complex fractions, and solve rational, quadratic (by factoring and formula) and literal equations. The course also covers applications including the use of the Pythagorean Theorem, understanding the definition of radical expressions, simplifying radical expressions containing numerical and variable radicands, graphing linear equations using slope-intercept concepts, and solving 2×2 systems of linear equations by graphing and elimination. Technology tools are utilized in this course.- Education Math Courses
## Education Math Courses

| MAT 111 Sample Syllabus*MAT 111 Math for Educators I***Prerequisite**: MAT 099 with a grade of C or higher; or appropriate placement score

**Credits**: 3*(NOTE: Restricted to General Studies - Elementary Education Transfer Option and ECE Program students)*

This course focuses on the critical Mathematical concepts necessary for students who are pursuing the Elementary Education Transfer Option in the General Education-Associate in Arts degree program. Students construct and apply problem solving techniques to solve problems, apply arithmetical operations on integers, rational numbers and decimals, and develop an understanding of mathematical relationships using equations, draw conclusions based upon geometric pattern and interpret data. Students construct geometric patterns and graphical data into algebraic equations; construct a geometric or graphical model given an algebraic equation. Instructor modeling is an integral component of the course.| MAT 112 Sample Syllabus*MAT 112 Math for Educators II***Prerequisite**: MAT 111

**Credits**: 3*(NOTE: Restricted to General Studies - Elementary Education Transfer Option and ECE Program students)*

This course continues the comprehensive focus on the critical Mathematics concepts necessary for students who are pursuing and Early Childhood and/or General Studies Elementary Education degree. Students develop an understanding of the principles of Euclidean geometry and use them to prove theorems. In addition, students apply Euclidean geometry to analyze the characteristics and properties of two and three-dimensional shapes, coordinate geometry, and transformations. Fundamental principles of probability and statistics explored. Students develop a deep level of understanding of geometry, probability, and statistics in order to become successful elementary and middle school teachers. Instructor modeling is an integral component of the course.- Non-Calculus Math Courses
## Non-Calculus Math Courses

| MAT 103 Sample Syllabus*MAT 103 Mathematics for Business***Prerequisite**: MAT 095 with a grade of C or higher; or appropriate placement

**Credits**: 3

This course introduces the mathematical processes and techniques currently used in the field of business and finance. Students use practical examples throughout to illustrate the relevance of analyzing and interpreting data in business and financial management. Students learn sound decision making skills that will aid them in fulfilling their roles as citizens, consumers, employees, employers, investors, and entrepreneurs. The course introduces business statistics and continues with business and financial topics including bank services, business and consumer loans, simple and compound interest, payroll taxes, risk management, the mathematics of buying, break-even and cost-volume-profit analysis, discounts, markups and markdowns, inventory control, stocks and bonds, annuities and sinking funds, depreciation, interpreting financial statements and financial analysis.| MAT 121 Sample Syllabus*MAT 121 Topics in Mathematics***Prerequisite**: College level mathematics course or QMAT placement score > 21 or appropriate multiple measures placement or**Corequisite:**MAT 051 Topics in Math Corequisite

**Credits**: 3

This course explores a variety of topics in contemporary mathematics These topics include problem solving and critical thinking, personal finance, numeration systems, set theory, counting principles and probability theory, and voting methods.| MAT 122 Sample Syllabus*MAT 122 Statistics***Prerequisite**: College level mathematics course or QMAT placement score > 21 or**Corequisite:**MAT 052 Statistics Corequisite

**Credits**: 3

This introductory statistics course covers descriptive statistics, probability, and inferential statistics. Statistical content includes sampling, graphical summaries of data, measures of center and variability, probability theory and distributions, standard and non-standard normal distributions, the Central Limit Theorem, confidence intervals, one-sample hypothesis tests, linear correlation and regression. Statistical technology is used.MAT 147 Sample Syllabus*MAT 147 Mathematics for Technicians I |***Prerequisite**: MAT 095 with a grade of C or higher; or appropriate placement score

**Credits**: 4*(NOTE: Restricted to Applied Manufacturing Option (MPA), Electronics Engineering Technology- Mechatronics Option (EEMO), Manufacturing Technology (MP), Electronics Engineering Technology – Biomedical Instrumentation Option (EEBI), Electronics Engineering Technology – Photonics Option (EEPH), Energy Utility Technology Certificate – (EUTC))*

This course covers applied mathematical concepts and methods: Content includes a review of basic concepts of arithmetic operations on scientific and engineering notation and algebra. Students are introduced to simple equations, functions and graphs, geometry, right triangles, vectors and oblique triangles. Students learn applications to systems of linear equations, matrices and determinants, ratio, proportion and variation. Solving quadratic equations, basic rules of factoring, power rule, exponents and radicals, radian measure, arc length, and rotation. Pythagorean Theorem and the six trigonometric ratios are also covered.| MAT 148 Sample Syllabus*MAT 148 Mathematics for Technicians II***Prerequisite**: MAT 147

**Credits**: 4*(NOTE: Restricted to Applied Manufacturing Option (MPA), Electronics Engineering Technology- Mechatronics Option (EEMO), Manufacturing Technology (MP), Electronics Engineering Technology – Biomedical Instrumentation Option (EEBI), Electronics Engineering Technology – Photonics Option (EEPH), Energy Utility Technology Certificate – (EUTC))*

This course covers applied mathematical and statistical concepts and methods: Topics include Trigonometry, parametric, and polar graphs; Trigonometric identities and equations; Exponential and logarithmic functions; Complex numbers and their applications; Series, sequences and the binomial theorem; Introduction to statistics and probability; Process Control, Correlation and Regression Analysis; Derivatives of algebraic functions.- Calculus-Prep Math Courses
## Calculus-Prep Math Courses

MAT 100 Sample Syllabus*MAT 100 College Algebra |***Prerequisite**: MAT 099 with a grade of C or higher; or appropriate placement score

**Credits**: 3

This course continues the areas of study presented in Intermediate Algebra with more advanced treatment. Students perform arithmetic operations on rational expressions; solve equations with fractions; factor expressions; simplify complex fractions; simplify exponential expressions, roots, radicals, and rational exponents; solve linear systems using several techniques; use the midpoint and distance formulas; recognize and graph the equation of a circle; solve linear and absolute value inequalities; solve quadratic equations by completing the square and by using the quadratic formula; solve equations containing radicals or absolute values; and perform arithmetic operations on radical expressions and complex numbers.| MAT 123 Sample Syllabus*MAT 123 College Mathematics I: Pre-Calculus***Prerequisite**: MAT 100 or appropriate placement score

**Credits**: 3

This course focuses on the knowledge and skills necessary for advanced mathematics. Students expand binomial expressions using the binomial theorem; solve non-linear, and rational inequalities and write their solutions using interval notation; determine and write linear equations in several forms; explain the concept of function; graph functions using symmetry test; recognize and graph functions, including constant, linear, quadratic, polynomial, rational, exponential, and logarithmic functions; use function transformation techniques; perform composition and arithmetic operations on functions; find and graph inverses of functions; use properties of logarithms; and solve logarithmic and exponential equations.| MAT 124 Sample Syllabus*MAT 124 College Mathematics II: Trigonometry***Prerequisite**: MAT 123 or appropriate placement score

**Credits**: 3

Students solve right and oblique triangles and related applications; perform vector computations and use vector concepts to solve applications; determine the values of trigonometric ratios of angles and the values of inverse trigonometric ratios of real numbers; work with angles measured in degrees-minutes-seconds or radians; solve uniform circular motion problems; learn the traditional trigonometric identities and use them to prove other identities; perform transformations of basic trigonometric graphs; write equations to describe specific instances of harmonic motion; and solve trigonometric equations.| MAT 125 Sample Syllabus*MAT 125 Discrete Mathematics***Prerequisite**: MAT 123 or appropriate placement score

**Credits**: 3

This course provides an introduction to the basic concepts in Discrete Mathematics. Topics include predicate and propositional calculus, sets, proof techniques, permutations and combinations, probability, relations, closure, partial order, functions, graph connectivity and shortest paths, and an introduction to languages, grammars and nondeterministic finite-state machines.- Calculus & Calculus-Based Math Courses
## Calculus & Calculus-Based Math Courses

| MAT 231 Sample Syllabus*MAT 231 Applied Calculus***Prerequisite**: MAT 123 or appropriate placement score

**Credits**: 3

This course begins with a review of the basic concepts of functions and function notation. After introducing the limit and continuity theorems on an intuitive basis, the study of differentiation begins. Typical derivative formulae are applied to polynomial, rational, implicit, exponential and logarithmic functions. Application topics include extreme, related rates, biochemical reaction, cost-benefit analysis, growth and decay, maximizing revenue, elasticity of demand, inflation, amortization, drug concentration, drug reaction, and continuous probability models. The basic rules of integration and the substitution method are introduced along with Riemann Sums and the Fundamental Theorem of Calculus.**This course is designed for students considering a major in business, pharmaceutical, social, and life sciences.**| MAT 233 Sample Syllabus*MAT 233 Calculus I***Prerequisite**: MAT 124

**Credits**: 4

This course begins with a review of functions and functional notation. After introducing the limit and continuity theorems on an intuitive basis, the study of differentiation begins. Typical derivative formulae are applied to polynomial, rational, trigonometric, implicit, logarithmic, exponential, and inverse trigonometric functions. Application topics include extrema, related rates, curve sketching, and velocity and acceleration. The basic rules of integration and the substitution method are introduced along with Riemann Sums and the Fundamental Theorem of Calculus.| MAT 234 Sample Syllabus*MAT 234 Calculus II***Prerequisite**: MAT 233

**Credits**: 4

This course focuses on expanded methods of integration and their application. Derivatives of the exponential, logarithmic and inverse trigonometric functions as well as their antiderivatives will be reviewed. Students learn to compute the customary antiderivatives of functions and apply antidifferentiation to such areas as volumes, moments, centroids, arc lengths and surfaces of revolution. Students will be introduced to differential equations. The use of L’Hopital’s Rule and the evaluation of improper integrals are examined. The convergence tests of infinite series as well as the Power, Taylor and Maclauren series are analyzed.| MAT 235 Sample Syllabus*MAT 235 Calculus III***Prerequisite**: MAT 234

**Credits**: 4

This course covers conic sections, rotation of axis, plane curves, parametric equations, vectors; polar, cylindrical, and spherical coordinates and graphs; vector-valued functions, differentiation, and integration; functions of several variables, partial derivatives, gradients; applications of extrema of functions, Lagrange multipliers; multiple integrations; area, volume, center of mass, moment of inertia, change of variables, Jacobians; Green’s divergence and Stokes’ theorems. Students learn to use calculus to solve engineering and scientific problems. The course concludes with some elementary differential equations.| MAT 237 Sample Syllabus*MAT 237 Probability & Statistics for Engineers and Scientists***Prerequisite**: MAT 234

**Credits**: 3

This course focuses on statistics and engineering. It covers interpretation, description, and treatment of data; probability and probability distributions; binomial, geometric, and hypergeometric methods; poisson processes; gamma, beta, and Weibull distribution; populations and samples; inferences, hypotheses, and significance tests; Bayesian estimates; curve fitting; the method of least squares; curvilinear regression, correlation, and experimental design. Students use calculators and statistical software to solve statistical problems.| MAT 238 Sample Syllabus*MAT 238 Differential Equations***Prerequisite**: MAT 235

**Credits**: 3

This course covers definition of differential equations, solution of differential equations, separation of variables, homogeneous and nonhomogeneous solutions, Wronskian, second and higher order equations, solution of systems of linear differential equations, numerical methods, linear independence, the Laplace transform, transforms of derivatives, derivatives of transforms, the Gamma function, inverse transforms, and convolution theorem. Students use mathematical software to solve differential equations for numerical methods.| MAT 243 Sample Syllabus*MAT 243 Linear Algebra***Corequisite**: MAT 238

**Credits**: 3

This course covers systems of linear equations, matrices, reduced echelon forms, vectors in Rn, linear independence and transformations, matrix operations, inverse of a matrix, determinants, vector space, rank, subspaces, bases, eigen vectors and eigen values, the characteristic equations, diagonalization, complex eigen values, numerical methods for solving linear systems, and orthogonality. Students learn to use linear algebra to solve problems in differential equations, statistics, and engineering design. Students also use mathematical software to solve higher order systems of equations and matrices.