Math and Applied Math Courses
    Math Modules
    QRMS
    Elementary and Secondary Education
    Calculus and Precalculus
    Other Courses
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The Math Modules

Prior to the Fall 2002 term,
the Math Modules ("Mods") were single credit, independently paced units.  Students learned on their own, or with the help of tutors and videos, and were graded by multiple choice tests.  If a student began a sequence of the old 1-credit Mods, but did not complete it, s/he can finish that sequence.  (Note: a student must have passed at least 1 mod in the sequence to count as having started the sequence.)  Such students should go to the main Math Mods office in Math 165 to register.

In the  Fall 2002, the Math Modules were changed into 2- or 3-credit, full semester courses, but otherwise continued with the same format.

As of the Summer of 2006, all former Math Modules courses are regular 2- or 3-credit classes, with lectures, recitations, and graded assignments.
These courses are now described under the "Calculus and Precalculus" and "Other Courses" sections.

The new Math Mods course numbers, and their equivalents to the old Mods, are as follows:
Multicredit Course Numbers
Equivalent Single Credit Course Numbers
MATH 1011-3
College Algebra
MATH 1000, 1010 and 1020
MATH 1021-2
Numerical and Analytical
College Trigonometry
MATH 1030 and 1040
MATH 1071-3
Finite Math for Social
Science and Business
MATH 1050, 1060 and 1070
MATH 1081-3
Calculus for Social
Science and Business
MATH 1080, 1090, and 1100

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The QRMS Program

MATH 1012 - Quantitative Reasoning and Mathematical Skills
Quantitative Reasoning and Mathematical Skills (QRMS) is intended for general liberal arts students.  It is not appropriate for students interested in the natural sciences. QRMS is intended to be a terminal mathematics course, and will not help prepare students for Calculus or Precalculus.  Students taking QRMS will be expected to have a high school algebra background (have earned at least Bs in two years of algebra in high school).

The topics covered in QRMS vary from section to section, but generally include an introduction to logic, problem solving skills, some basic probability and statistics, and financial applications of mathematics.  The focus of the course is on "real world" applications, and on mathematics in society.

While QRMS is a course on basic mathematics, please keep in mind that "basic" and "easy" are not the same.  Students should expect to work hard in this course, even if their math background is fairly strong.  Some sections will require papers, journals, or research projects; some sections include class participation, attendance, and in-class groupwork as a part of the semester grade.

MATH 1130 - Mathematics from the Visual Arts
Mathematics from the Visual Arts, also known as Art & Math, is intended for liberal arts students with a strong interest in the visual arts.  Art & Math is a terminal math course.  As with QRMS, students taking this course will be expected to have a high school algebra background (have taken at least two years of algebra in high school).

Art & Math has its focus on context, rather than on particular mathematical topics.  Students will participate in practicums, as well as traditional lectures, to examine mathematical elements present in various visual arts.

MATH 2380 - Math for the Environment
Like QRMS (described above), Math for the Environment is intended for general liberal arts students.  It is not suggested for natural science students for the quantitative reasoning core; however, such students are very welcome to take the course as an elective.  Students who take Math for the Environment should also have an interest in environmental issues.  Math for the Environment is a terminal math course.  Also, as with QRMS, students taking this course will be expected to have a high school algebra background (have taken at least two years of algebra in high school).

Math for the Environment  has its focus on context, rather than on particular mathematical topics.  Students will look at various environmental phenomena, and use math modeling techniques to study those phenomena; the course is quite interdisciplinary in nature.  Students should be prepared to write papers and complete individual projects.

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Courses for Education Students

MATH 1110 and 1120 - Spirit and Uses of Math
Spirit and Uses is intended for elementary education students.  Other students are permitted to take the courses, but should be aware that both semesters must be completed in order to fulfill the quantitative reasoning core requirement.  The two semesters should be taken in order; while MATH 1110 is not an official prerequisite for MATH 1120, students in 1120 will be assumed to know all material covered in 1110.  Students taking the Spirit and Uses sequence will be expected to have a background in high school algebra and geometry (two years of algebra and one year of geometry, all with grades of at least B).

Spirit and Uses covers a wide variety of mathematical topics.  It is intended to give students an understanding of the deeper mathematics behind the basic arithmetic they will someday be teaching in elementary school.  The topics covered include: problem solving, logic, the structure of the number system, geometry, and number theory.  Students should expect to do individual projects and give presentations to their class.
 
 

MATH 1410 - Math for Secondary Education
Math for Secondary Ed is intended for students working toward secondary education teaching certification in the humanities or social sciences.  Students planning to teach natural science or math should not take this course.  Beginning in Fall 2002, students must either be admitted to the secondary education program or have a pre-education coding on SIS in order to take this course.  This course is not intended for a general liberal arts audience.

Math for Secondary Ed is designed to be a terminal mathematics course which will meet the Colorado state licensure requirements for humanities and social sciences teachers.  Students taking this course will be expected to have a background in high school algebra and geometry (two years of algebra and one year of geometry, all with grades of at least B).  Topics covered include problem solving, number systems, geometry, probability, and statistics.

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Calculus and Precalculus Courses

MATH 1011 - Fundamentals and Techniques of College Algebra
College Algebra is intended for students who are interested in a basic algebra course, or wish to prepare for Calculus at a slower pace than offered by MATH 1150 (see below). 

MATH 1021 - Numerical and Analytical College Trigonometry
Trigonometry is intended for students who need just this topic to prepare for a Calculus course, or to complete the preparation begun with MATH 1011.  The course is only worth 2 credit hours and will not fulfill the QRMS Core.


MATH 1150 - Precalculus Mathematics
Precalc is intended for students planning to take a Calculus 1 course, but who are not yet prepared to begin calculus.  It should not be taken as a stand-alone course to fulfill the quantitative reasoning core requirement.  Students taking this course will be expected to have a background in high school algebra (1.5 years of algebra with grades of at least B).  Calculators are not permitted.

Precalc is an intensive semester designed to prepare students for their first calculus course.  The focus of the course is functions: types of functions, techniques for dealing with various functions, and applications of functions.  The functions covered will include trigonometric, logarithmic, exponential, and polynomial functions.
 

MATH 1300 - Analytic Geometry and Calculus I
This class is the Math Department's primary Calculus 1 course.  MATH 1300 will fulfill the Calculus 1 requirement for natural science majors, and for admission to Engineering or Architecture & Planning.  Students taking this course will be expected to have a strong background in high school algebra, geometry, and trigonometry (at least 2 years of algebra, 1 year of geometry, and 1 semester of trigonometry, all with grades of at least a B; A grades in those courses or a year of high school precalculus are recommended).

Beginning in the summer of 2005, MATH 1300 will be offered only in small lecture format.  All sections meet 5 days per week.   The sections meet with the instructor in groups of 20-35 students everyday except Thursday; on Thursdays, the same small group meets with a teaching assistant and a learning assistant.  All sections cover the same topics and give Wednesday evening midterm exams.

MATH 1300 covers introductory limits, derivatives and integrals of algebraic and trigonometric functions, and applications of the derivative and definite integral.  The approach is somewhat theoretical: applications are kept very general, and some simple work with proofs is included.
 
 

APPM 1350 - Calculus 1 for Engineers
This class is the Department of Applied Mathematic's primary Calculus 1 course.  APPM 1350 will fulfill the Calculus 1 requirement for natural science majors, and for admission to Engineering or Architecture & Planning.  Students taking this course will be expected to have a strong background in high school algebra, geometry, and trigonometry (at least 2 years of algebra, 1 year of geometry, and 1 semester of trigonometry, all with grades of at least a B; A grades in those courses or a year of high school precalculus are recommended).

APPM 1350 is offered only in large lecture format; lecture meets three days per week in groups of 100-150 students, and recitation meets one day per week with groups of 20-30 students.  Midterms are given on Wednesday evenings.

APPM 1350 covers limits, derivatives of algebraic and transcendental functions, applications of the derivative, and introductory integration.  The approach is computational and applied.  Theory and proofs are largely omitted, and applications are specific to engineering topics.
 

MATH 1310 - Calculus, Stochastics and Modeling
This course is intended for students who need only a single semester of Calculus, particularly Biology majors.  MATH 1310 covers many same topics as MATH 1300, but has a more computational approach, as well as an empasis on complex systems.  It includes some basic material on probability and statistics.  

Students taking this course will be expected to have a strong background in high school algebra, geometry, and trigonometry (at least 2 years of algebra, 1 year of geometry, and 1 semester of trigonometry, all with grades of at least a B; A grades in those courses or a year of high school precalculus are recommended).

MATH 1310 is offered only in small sections of 30-35 students, and meets five days per week.  Midterm exams are given on Wednesday evenings.

This course is not, not, NOT appropriate for students who plan to take second semester calculus.


MATH 1081 - Calculus for Social Science and Business
This class is intended to provide Business students with basic calculus techniques for algebraic functions.  Students who are interested in graduate work in Economics or Finance, or who plan to study Actuarial Science or Quantitative Fininace, should consider MATH 1300 or APPM 1350.

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Other Math Courses

MATH 1005 - Introduction to College Mathematics

College Mathematics is run by the Student Academic Services Center (SASC).  It is designed for students who are a part of the McNeill Academic Program or who are referred by Disability Services.  Other students may also take College Mathematics, as space permits.  Enrollment is controlled by SASC.

College Mathematics is an introduction to college level mathematics, preparing students for MATH 1011.  It only requires that students have some familiarity with algebra concepts (have passed a year of high school algebra).  The course is very intense, but also very supportive.  Classes are small, with fewer than 20 students, and meet 5 days per week.  Attendance, groupwork, and homework are mandatory.  SASC provides unlimited free tutoring for College Mathematics students.

This course does NOT fulfill the QRMS requirement for the A&S Core!

Student who take MATH 1005 and MATH 1011 will earn a total of 4 semester hours of credit.

For further information on this course, contact SASC.

 

MATH 1071 - Finite Mathematics for Social Science and Business

Finite Math is an introduction to some applications of finite, or discrete, mathematics.  Topics include systems of linear equations, matrices, and probability.

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MATH 2510 - Introduction to Statistics

Introduction to Statistics is a basic statistics course intended for general liberal arts students, and is a terminal math course.  (Natural science majors who are interested in statistics should consider MATH 4510 and 4520.)  Students taking this course need to be familiar with algebra (have taken 2 years of algebra in high school).

Introduction to Statistics covers descriptive statistics, basics probability, and inferential statistics (hypothesis testing, confidence intervals, etc.).  During some semesters, a computer lab is included as part of the course.  The material is covered in a very general way, rather than selecting real world examples from one particular field.

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