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Mathematics Courses

College
High School



Each course description is followed with links to course price, registration procedure, and textbooks.

300-levels are for college and are each designed for 3 semester credits.
(Upper high school students may take 300-levels with instructor approval.)

200-levels are high school level equivalent to a full-year content unless otherwise specified.

College Courses


Course Title: BASIC COLLEGE MATHEMATICS
Number: MTH303

The course is a study of basic mathematical, algebraic, and geometric concepts and applications. Topics covered include set theory and logic; fractions, decimals, and percents; ratio and proportion; basic linear and quadratic equation solving and graphing; consumer mathematics and financial management; metric and customary measurement; basic geometry; and probability and statistics. Open to college students including those with a minimum algebra background who have been away from mathematics for several years. This course provides the opportunity to strengthen basic math skills and practice applying those skills in a real world environment. Entry may also be granted by permission of instructor. 12 weeks.

A textbook is required. See CALCampus Bookstore.

Mathematics Course Price List       Course Registration Form

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Math Course Title: INTERMEDIATE ALGEBRA
Number: MTH304

This college level course is intended for students who have taken high school geometry and algebra. It is often taken by adults for professional development requirements. It is directed towards those students who may wish to continue the study of mathematics in college and want to review their second year of algebra before proceeding. This course is a pre-requisite for College Algebra. Together, they provide preparation for taking college calculus.

Course topics include the following:
- Rules of behavior for Numbers
- Equations
- Negative Numbers and Integers
- Inequalities
- Polynomials
- Factoring
- Rational expressions
- Graphing linear equations
- Functions and graphs
- Systems of Two Equations
- Radical expressions

As a result of taking this course, the student will learn: how mathematical definitions and theorems apply to problems they are solving; to develop the ability to write careful and precise solutions to problems; to reason mathematically; and to develop skills in the use of computers and graphing calculators to aid in visualization and problem solving.

A textbook is required. Available through the CALCampus Bookstore.

Mathematics Course Price List       Course Registration Form

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Math Course Title: COLLEGE ALGEBRA
Number: MTH 305

Intended for students seeking credit for college algebra. Students must have completed Intermediate Algebra or equivalent second year high school algebra course before taking this college level algebra course. Supplemental graphing calculator labs are included. Course topics include:

- Quadratic Equations (Review)
- Circles, Ellipses and Parabolas
- Polynomials
- Series
- Permutations and Combinations
- The Binomial Formula
- Proofs by Mathematical Induction
- Exponential Functions and Logarithms
- Multiple Simultaneous Equations
- Matrices and Determinants
- Imaginary Numbers

A textbook is required. Available through the CALCampus Bookstore.

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Math Course Title: FINITE MATHEMATICS
Number: MTH306

Finite Mathematics is a survey and applications course in mathematics designed for business, life science, and social sciences students. Topics include solving linear programming problems graphically and by the simplex method; financial mathematics; sets and counting techniques; probability; and statistics. Students should have completed College Algebra prior to enrollment. Entry may also be granted by permission of instructor.

A textbook is required. Available through the CALCampus Bookstore.

Mathematics Course Price List       Course Registration Form

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Math Course Title: COLLEGE GEOMETRY
Number: MTH307

The course covers topics commonly found in collegiate geometry courses. Topics include: geometry vocabulary; measure and congruence; angle pairs and perpendicular lines; parallel lines; angles of a polygon; proving triangles are congruent; applying congruent triangles; geometric inequalities; special quadrilaterals; ratio, proportion, and similarity; the right triangle; circles and angle measurement; and an introduction to non-Euclidean geometry. Open to college students having completed Algebra I or equivalent. Entry may also be granted by permission of instructor. 12 weeks.

Textbooks required. Available through the CALCampus Bookstore.

Mathematics Course Price List       Course Registration Form

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Math Course Title: COLLEGE TRIGONOMETRY
Number: MTH310

This course teaches the fundamental concepts of trigonometry. Topics include, but are not limited to: a review of algebraic functions, trigonometric functions, basic properties and graphs of trigonometric functions, trigonometric identities, inverse trigonometric functions, solving trigonometric equations, solutions of triangles, vectors, complex numbers, conic sections, and polar coordinates. 8-10 weeks. This course is open to college students who have successfully completed college algebra. Entry may also be granted by permission of instructor.

Textbooks required. Available through the CALCampus Bookstore.

Mathematics Course Price List       Course Registration Form

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Math Course Title: BUSINESS MATHEMATICS
Number: MTH 311

This is an intensive college level course in Business Mathematics. Topics include review of arithmetic; ratio, proportion, and percent; using a calculator; metric system; payroll; depreciation; interest and discount; annuities and their applications; stocks and bonds; buying; selling; insurance; and averages.

Required textbook. Available through the CALCampus Bookstore.

Mathematics Course Price List       Course Registration Form

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Math Course Title: BEGINNING CALCULUS I
Number: MTH 315

This course may be used for college calculus credit for college non-science and business majors who will need to take statistics, linear programming, or college calculus as part of their degree program; and for adults who have been out of college for a long time. Business students and others who don't plan on taking MTH316 will not do the trig chapters or the related rates chapters but will instead get an introduction to integration. These topics are marked below with **. Supplemental graphing calculator labs are included.

-Coordinate Systems on a Line.
-Coordinate Systems in a Plane.
-Graphs of Equations.
-Straight Lines.
-Intersections of Graphs.
-Symmetry.
-Functions and Their Graphs.
-Limits.
-Special Limits.
-Continuity.
-The Slope of a Tangent Line.
-The Derivative.
-More on the Derivative.
-Maximum and Minimum Problems.
-The Chain Rule.
-Implicit Differentiation.
-The Mean-Value Theorem.
-The Sign of the Derivative.
**Rectilinear Motion.
**Instantaneous Velocity.
**Instantaneous Rate of Change.
**Related Rates.
**Approximation by Differentials.
-Newton's Method.
-Higher-Order Derivatives.
-Applications of the Second Derivative.
-Graph Sketching.
-More Maxiumum and Minimum Problems.
-Angle Measure.
**The Sine and Cosine Functions.
**Graphs and Derivatives of the Sine and Cosine Functions.
**The Tangent and Other Trigonometric Functions.
-Antiderivatives.
-The Definite Integral.
-The Fundamental Theorem of Calculus.
**Applications of Integration I:

Textbook required: Available through the CALCampus Bookstore.

Mathematics Course Price List       Course Registration Form

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Course Title: BEGINNING CALCULUS II
Number: MTH 316


MTH316 continues from where MTH315 ends. Same textbook as MTH315.

Applications of Integration I:
Area and Arc Length.
Applications of Exponential Growth and Decay.
Inverse Trigonometric Functions.
L'Hopital's Rule.
Exponential Growth and Decay.
Inverse Trigonometric Functions.
Integration by Parts.
Trigonometric Integrands.
Trigonometric Substitutions.
Integration of Rational Functions:
The Method of Partial Fractions.

Mathematics Course Price List       Course Registration Form

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COURSE TITLE: Business Calculus
COURSE NUMBER: MTH318


Business Calculus is designed to introduce students to elementary calculus and to assist them in applying the methods of calculus to solve problems in business and management. Emphasis of this course will be on applications rather than theory. The course begins with a brief review of algebra to ensure that students do, indeed, possess the necessary mathematical skills. This review is followed by an introduction to limits and continuity, proceeding to a study of differential and integral calculus for polynomials, exponential and logarithmic functions. Great care will be given to the graphing calculator and its use in solving calculus related problems. Throughout the course these mathematical tools are applied to problems such as maximizing profit, marginal revenue, depreciation, consumer surplus, advertising campaigns and making statistical predictions. Prerequisites: College algebra or equivalent; or equivalent skills as determined by assessment. 3 college semester credits.

Textbook required: Available through the CALCampus Bookstore.

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Course Title: COLLEGE CALCULUS I
Number: MTH 320

This course, together with MTH321, covers all essential first-year college calculus topics for engineering and science majors. Differential calculus with an introduction to integration. One semester course. (MTH320 College Calculus I is usually all that is required for business and liberal arts majors.) Topics include:

- The slope of the tangent line
- Calculating derivatives
- Drawing curves with derivatives
- Derivatives of complicated functions
- Derivatives of trigonometric functions
- Optimum values and related rates
- The Integral: A backward derivative
- Finding areas with Integrals

Students should have taken high school geometry, algebra, and trigonometry in order to succeed in this course. The course relies on the student's intuition and willingness to accept most mathematical theorems without proof.

A textbook is required. Available through the CALCampus Bookstore.

Mathematics Course Price List       Course Registration Form

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Course Title: COLLEGE CALCULUS II
Number: MTH 321

A continuation of MTH320 and is intended for college students familiar with the basic concepts of calculus and those who have completed MTH 320 or equivalent. Integral calculus with an introduction to differential equations. One semester course. Topics include:

- Natural logarithms
- Exponential functions and integration by parts
- Integration by trig substitutions
- Integration by partial fractions
- Finding volumes with integrals
- Arc lengths, Surface areas, and Center of mass
- Introduction to differential equations
- Partial derivatives

A textbook is required. Available through the CALCampus Bookstore.

Mathematics Course Price List       Course Registration Form

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Course Title: COLLEGE STATISTICS
Number: MTH330

This college level course explores probability, hypothesis testing, descriptive statistics, random variables, binomial distribution and other discrete distributions, the normal distribution, regression, and fallacies and traps. Students will learn how to apply basic statistical operations to analyze and solve problems. Prerequisite: College Algebra.

Required text. Available through the CALCampus Bookstore.

Mathematics Course Price List       Course Registration Form

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High School Courses

Math Course Title: CONSUMER MATHEMATICS
Number: MTH 202

Half year. This high school course provides a review of basic skills and other mathematical skills needed to meet the challenges faced by most consumers. The course also covers a wide range of practical skills beyond the review of basic math skills, including topics such as hourly wages, payroll deductions, problem-solving; handling money--comparing prices, family budgets, savings accounts, installment loans, credit cards; buying a new and used car, financing a car, car insurance; owning a home--buying a house, mortgages, property insurance; deciphering airline schedules; paying taxes--federal income withholding tax, social security tax, 1040EZ form, 1040A form, 1040 form; and many more. This is useful for everyone living in a consumer-oriented society. The course is also known as Integrated Math in some high schools.

Required textbook. Available through the CALCampus Bookstore.

Mathematics Course Price List       Course Registration Form

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Math Course Title: PRE-ALGEBRA
Number: MTH203

This course is designed for high school students who need to improve their basic mathematical skills in preparation for taking a regular high school algebra course. The instructor individualizes instruction based upon the results of a diagnostic pretest. Topics include:

- Use of the graphing calculator as a problem solving tool
- Different methods of problem-solving
- Rounding and estimation
- Basic computation with whole numbers, fractions, and decimals
- Working with data – graphing and making predictions; scatter plots
- Operations with integers
- Signed numbers
- The Cartesian Coordinate System
- Factors and Fractions – Prime factorization, common factors, algebraic fractions; exponents; negative exponents; scientific notation; polynomials
- Basic Operations with Rational Numbers
- Measures of Central Tendency
- Ratio, Proportion and Percentages – Scale drawings, percent increase/decreas
- Functions and Graphing - Slope; direct variation; indirect variation; linear graphs
- Equations and inequalities

Required textbook. Available through the CALCampus Bookstore.

Mathematics Course Price List       Course Registration Form

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Math Course Title: HIGH SCHOOL ALGEBRA I
Number: MTH205

This is a first year high school algebra course. It is intended for students who have not yet taken high school geometry, but intend to. This course is a pre-requisite for Plane Geometry and for High School Algebra II.

Course topics include the following:
- Rules of behavior for Numbers
- Equations
- Negative Numbers and Integers
- Inequalities
- Polynomials
- Factoring
- Rational expressions
- Graphing linear equations
- Functions and graphs
- Systems of Two Equations
- Radical expressions

As a result of taking this course, the student will learn: how mathematical definitions and theorems apply to problems they are solving; to develop the ability to write careful and precise solutions to problems; to reason mathematically; and to develop skills in the use of computers and graphing calculators to aid in visualization and problem solving.

A textbook is required. Available through the CALCampus Bookstore.

Mathematics Course Price List       Course Registration Form

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Course Title: PLANE GEOMETRY
Number: MTH207

High school level geometry. Topics include: geometry vocabulary; measure and congruence; angle pairs and perpendicular lines; parallel lines; angles of a polygon; proving triangles are congruent; applying congruent triangles; geometric inequalities; special quadrilaterals; ratio, proportion, and similarity; the right triangle; and circles and angle measurement. 12 weeks.

Textbook is required. Available through the CALCampus Bookstore.

Mathematics Course Price List       Course Registration Form

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Math Course Title: HIGH SCHOOL ALGEBRA II
Number: MTH208

High School Algebra II is a continuation of High School Algebra I and is a second year high school algebra course. The course relies on the student's intuition and willingness to accept most mathematical theorems without proof.

Students completing this course will have learned:

- Graphing linear equations
- Functions and graphs
- Systems of Two Equations
- Radical expressions
- Quadratic Equations
- Permutations and combinations
- Proofs by Mathematicakl Induction
- Circles, Ellipses and Parabolas
- Matrices and Determinants
- Imaginary Numbers

Graduates of this course with a grade of B or above are eligible for future enrollment in Beginning Calculus and in Statistics.

Textbook required. See CALCampus Bookstore.

Mathematics Course Price List       Course Registration Form

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Course Title: TRIGONOMETRY
Number: MTH210

This high school course teaches the fundamental concepts of trigonometry. Topics include, but are not limited to: trigonometric functions, their basic properties and graphs, identities, inverse trigonometric functions, solving trigonometric equations, and solutions of triangles. For upper high school level. Students should have completed high school algebra I and II and geometry.

A textbook is required. See CALCampus Bookstore.

Mathematics Course Price List       Course Registration Form

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Course Title: BUSINESS MATHEMATICS
Number: MTH211

Half year. This is a high school course in Business Mathematics. Topics include review of arithmetic; ratio, proportion, and percent; using a calculator; metric system; payroll; depreciation; interest and discount; annuities and their applications; stocks and bonds; buying; selling; insurance; and averages.

A textbook is required. See CALCampus Bookstore.

Mathematics Course Price List       Course Registration Form

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Math Course Title: BEGINNING CALCULUS I (high school)
Number: MTH215

Half year. This course may be used for high school calculus credit (MTH215 and MTH216 equate to a full year of high school calculus). Supplemental graphing calculator labs are included. Topics include:

-Coordinate Systems on a Line.
-Coordinate Systems in a Plane.
-Graphs of Equations.
-Straight Lines.
-Intersections of Graphs.
-Symmetry.
-Functions and Their Graphs.
-Limits.
-Special Limits.
-Continuity.
-The Slope of a Tangent Line.
-The Derivative.
-More on the Derivative.
-Maximum and Minimum Problems.
-The Chain Rule.
-Implicit Differentiation.
-The Mean-Value Theorem.
-The Sign of the Derivative.
**Rectilinear Motion.
**Instantaneous Velocity.
**Instantaneous Rate of Change.
**Related Rates.
**Approximation by Differentials.
-Newton's Method.
-Higher-Order Derivatives.
-Applications of the Second Derivative.
-Graph Sketching.
-More Maxiumum and Minimum Problems.
-Angle Measure.
**The Sine and Cosine Functions.
**Graphs and Derivatives of the Sine and Cosine Functions.
**The Tangent and Other Trigonometric Functions.
-Antiderivatives.
-The Definite Integral.
-The Fundamental Theorem of Calculus.
**Applications of Integration I:

Textbook is required. Available through the CALCampus Bookstore.

Mathematics Course Price List       Course Registration Form

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Course Title: BEGINNING CALCULUS II (high school)
Number: MTH216

Half year. MTH216 continues from where MTH215 ends. Same textbook as MTH215. Topics:

Applications of Integration I
Area and Arc Length.
Applications of Exponential Growth and Decay.
Inverse Trigonometric Functions.
L'Hopital's Rule.
Exponential Growth and Decay.
Inverse Trigonometric Functions.
Integration by Parts.
Trigonometric Integrands.
Trigonometric Substitutions.
Integration of Rational Functions:
The Method of Partial Fractions.

Mathematics Course Price List       Course Registration Form

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Course Title: HIGH SCHOOL STATISTICS
Number: MTH230

This high school course explores probability, hypothesis testing, descriptive statistics, random variables, binomial distribution and other discrete distributions, the normal distribution, regression, and fallacies and traps. Students will learn how to apply basic statistical operations to analyze and solve problems.

A textbook is required. See CALCampus Bookstore.

Mathematics Course Price List       Course Registration Form

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