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CALCampus Mathematics Courses
Each course description is followed with links to course price, registration procedure, and textbooks. Courses that are currently open for enrollment are posted on the Course List. Refer to the Course List before filling out a course registration form.
300-levels are for college and are each designed for 3 semester credits, unless otherwise noted.
200-levels are high school level equivalent to a full-year content unless otherwise specified.
Scroll down for High School courses.
College Courses
Course Title: BASIC COLLEGE MATHEMATICS
Number: MTH303
3 semester credits
Basic College Mathematics is a remedial level course, studying 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.
A textbook is required. See CALCampus Bookstore.
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Math Course Title: INTERMEDIATE ALGEBRA
Number: MTH304
3 semester credits
This remedial 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.
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Math Course Title: COLLEGE ALGEBRA
Number: MTH 305
3 semester credits
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
3 semester credits
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. Pre-requisite: Students
should have completed College Algebra with at least a grade of "C" prior to enrollment.
A textbook is required.
Available through the CALCampus Bookstore.
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Math Course Title: COLLEGE GEOMETRY
Number: MTH307
3 semester credits
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. Prerequisites: an introductory college level algebra course; or high school
algebra 1 and 2. Prior high school geometry is strongly recommended.
Textbooks required. Available through the CALCampus Bookstore.
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Math Course Title: COLLEGE TRIGONOMETRY
Number: MTH310
3 semester credits
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. This course is open to college students who have successfully completed college algebra or high school algebra 2.
Textbooks required. Available through the CALCampus Bookstore.
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Math Course Title: BUSINESS MATHEMATICS
Number: MTH 311
3 semester credits
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. Prerequisite: at least high school Algebra 1. (Cross-listed in Business Department as BU311M.)
Required textbook. Available through the CALCampus Bookstore.
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Math Course Title: COLLEGE PRE-CALCULUS
Number: MTH314
4 semester credits
This course covers all mathematical material required for any beginning calculus course; the material is inclusive of algebra, trigonometry, and analytic geometry. The course material is comprehensive and is designed in particular as a solid preparation for MTH 325: Calculus for Science and Math majors. It is expected that students have at least high school algebra, although the course is essentially designed for students who have had exposure to various aspects of Pre-Calculus mathematics and would like to take a thorough and comprehensive review course before starting calculus.
Course topics include:
--a review of algebra basics, inclusive of exponents and radicals, solving algebraic equations, equations of lines, and inequalities
--graphs of functions, transformations of functions, modeling with functions,
inverse functions
--dividing polynomials, complex numbers, rational functions
--exponential functions, logarithmic functions, laws of logarithms, modeling of exponential and logarithmic functions
--trigonometric functions, trigonometric graphs, trigonometric equations, applications of
trigonometry, law of sines, law of cosines
--polar coordinates, systems of equations, parabolas, ellipses, hyperbolas
Required textbook. Available through the CALCampus Bookstore.
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Math Course Title: BEGINNING CALCULUS I
Number: MTH 315
3 semester credits
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. MTH315 is a pre-requisite for MTH316.
Prerequisites for MTH315: College Algebra or College Pre-Calculus.
-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.
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Course Title: BEGINNING CALCULUS II
Number: MTH 316
3 semester credits
MTH316 continues from where MTH315 ends. MTH315 is the pre-requisite for MTH316.
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.
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COURSE TITLE: Business Calculus
COURSE NUMBER: MTH318
3 semester credits
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. (Cross-listed in Business Department as BU318M.)
Textbook required:
Available through the CALCampus Bookstore.
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Course Title: COLLEGE CALCULUS I
Number: MTH 320
3 semester credits
This course, together with MTH321, covers essential first-year calculus topics for various technical, liberal arts, and business majors. It focuses on differential calculus with an introduction to integration and differential equations. One semester course. (MTH320 College Calculus I is usually all that is required for liberal arts and business majors.)
Topics include:
- Preparation for Calculus (Graphs, Models, Rates of Change, Functions)
- Limits and Their Properties (Finding Limits Graphically/Numerically/Analytically, Continuity, Infinite Limits)
- Differentiation (The Derivative, Tangent Lines, Differentiation Rules, Chain Rule, Implicit Differentiation)
- Applications of Differentiation (Extrema, Rolle’s Theorem, Mean Value Theorem, First Derivative Test, Second Derivative Test, Newton’s Method, Differentials)
- Integration (Antiderivatives, Indefinite/Definite Integrals, Area, Rieman Sums, Integration by Substitution, Numerical Integration)
- Logarithmic, Exponential, and Other Transcendental Functions (Natural Logarithm Function, Inverse Functions, Exponential Functions, Inverse Trigonometric Functions)
- Differential Equations (Slope Fields, Euler’s Method, Growth and Decay, Separation of Variables, First-Order Linear Differential Equations)
This course is intended for students who have taken high school geometry, algebra, and trigonometry. The course relies on the student's intuition and willingness to accept most mathematical theorems without proof. Students should have taken high school geometry, algebra, and trigonometry, or College Algebra or College Pre-Calculus prerequisite courses.
A textbook is required.
Available through the CALCampus Bookstore.
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COURSE TITLE: College Calculus I; 4th Credit
NUMBER: MTH 320 + 1
1 semester credit
This course is designed to bridge the gap from the 3 credit MTH 320 Calculus I course to the 4 credit MTH 325 Calculus I for
Science and Math Majors course, and is in particular addressed to engineering, science, and mathematics majors who have taken
3-credit MTH 320 and wish to take MTH 326: Calculus II for Science and Math Majors. 6 weeks.
As a one semester course, 4-credit MTH 325 can be described by the title: Differential Calculus with an Introduction to Integration, and it
is the introduction to integration that is the crux of the 4th credit that this course focuses upon. In order to satisfy
the requirements of MTH320+1, a student needs to demonstrate satisfactory knowledge of all the standard material in MTH 325,
through obtaining satisfactory grades on all MTH 325 exams, and submitting all homework assignments for Chapter 4 in the MTH 325
course syllabus.
A student who does not satisfy the above requirements will need to enroll in and obtain a passing grade in MTH 325
in order to be eligible to take MTH 326.
A textbook is required. Same textbook that is used for MTH325.
Available through the CALCampus Bookstore.
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Course Title: COLLEGE CALCULUS II
Number: MTH 321
3 semester credits
This course continues the concepts of the differential and integral calculus started in MTH320 and, together with MTH320, covers all essential first-year calculus topics included in most two-semester calculus course sequences. One semester course.
Topics include:
- Applications of Integration (Area of a Region, Disk Method, Shell Method, Arc Length, Surfaces of Revolution, Work, Moments, Centers of Mass, Centroids, Fluids)
- Integration Techniques, L’Hopital’s Rule, and Improper Integrals (Basic Integration Rules, Integration by Parts, Trigonometric Integrals, Partial Fractions, Indeterminate Forms, Improper Integrals)
- Infinite Series (Sequences, Series and Convergence, Alternating Series, Taylor Polynomials, Taylor and MacLaurin Series)
- Conics, Parametric Equations, and Polar Coordinates (Plane Curves, Parametric Equations, Polar Coordinates, Area, Arc Length, Polar Equations, Kepler’s Laws)
- Vectors and the Geometry of Space (Vectors in the Plane, Space Coordinates, Vectors in Space, Dot Product, Cross Product, Surfaces in Space, Cylindrical/Spherical Coordinates)
Students should have completed MTH320, College Calculus I, or the equivalent 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.
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Course Title: Infinite Series and Calculus II Applications
Number: MTH321+2
2 semester credits
MTH 321+2 is intended for students who have taken the CalCampus MTH 320/321 Calculus I and II sequence and wish to take either MTH 327 (Calculus III) or MTH 328
(Linear Algebra). This is a two credit course that fills in the gaps to insure that students have had the standard calculus material in the MTH 325/326 Calculus I and II sequence for science and math majors. 8 weeks.
COURSE TOPICS
--applications of integration, inclusive of projectile motion, probability, and physics and
engineering applications
--introduction to differential equations, inclusive of separable differential equations and
second-order homogeneous and non-homogeneous equations with constant coefficients
--infinite series, inclusive of Taylor’s theorem and Fourier series
A textbook is required. Same textbook that is used for MTH327.
Available through the CALCampus Bookstore.
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Course Title: COLLEGE CALCULUS III
Number: MTH 322
3 semester credits
This course is the third in the basic calculus sequence and continues the concepts of the differential and integral calculus started in MTH320 and continued in MTH321. It is intended for those students who have completed MTH 321 or equivalent.
Topics include:
- Vector-Valued Functions (Differentiation and Integration, Velocity and Acceleration, Tangent and Normal Vectors, Arc Length and Curvature)
- Functions of Several Variables (Partial Derivatives, Differentials, Chain Rule, Tangent Planes and Normal Lines)
- Multiple Integration (Iterated Integrals, Double/Triple Integrals, Polar/Cylindrical/Spherical Coordinates, Surface Area, Center of Mass, Moments of Inertia)
- Vectors Analysis (Vector Fields, Line/Surface Integrals, Green’s Theorem, Curl and Divergence, Stokes Theorem)
Students should have completed MTH320, College Calculus I, and MTH321, College Calculus II, or the equivalent 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.
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Course Title: College Calculus I for Science and Math Majors
NUMBER: MTH325
4 semester credits
This course, together with MTH 326, covers all first year calculus topics for engineering, science, and mathematics majors. As a one semester course, MTH 325, which can be described by the title: Differential Calculus with an Introduction to Integration, is usually all that is required for business and liberal arts majors. Prerequisite: Pre-Calculus or equivalent.
Course topics include:
--a review of pre-calculus, inclusive of trigonometric, exponential, logarithmic, and inverse functions
--limits and continuity
--derivatives as slopes of tangent lines and instantaneous velocity
--techniques of differentiation applied to all pre-calculus functions
--applications of differentiation: optimum value and related rates problems
--antiderivatives and integrals
--Fundamental Theorem of Calculus; finding areas with integrals
This course is intended for college students who have taken algebra, trigonometry, and pre-calculus or its equivalent. The course reflects the standard calculus material required for engineering, science, and mathematics majors, but may also be utilized as a thorough calculus course for business and liberal arts majors.
A textbook is required.
Available through the CALCampus Bookstore.
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Course Title: College Calculus II for Science and Math Majors
NUMBER: MTH326
4 semester credits
This course, together with MTH325, covers all first year calculus topics for engineering, science, and mathematics majors. MTH326 is intended for students who are familiar with the basics of the differential calculus and have taken MTH325 or the equivalent of a 4-credit Calculus I course. Course topics include:
--techniques of integration, inclusive of substitution, integration by parts,
partial fractions, etc.
--applications of integration, inclusive of finding volumes, arc lengths, surface area, projectile motion, and center of mass
--introduction to differential equations
--infinite series, inclusive of Taylor's theorem and Fourier series
Prerequisite: This course is intended for college students who have successfully completed 4 credits of first semester calculus at the level of MTH 325 or its equivalent. The course reflects the second semester of the standard calculus material required for engineering, science, and mathematics majors, but may also be utilized as a thorough second semester calculus course for business and liberal arts majors.
Prospective students are asked to provide a copy of their college transcript showing completion of at least 4 semester credits of college calculus I with a grade of at least C.
A textbook is required.
Available through the CALCampus Bookstore.
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COURSE TITLE: College Calculus III for Science and Math Majors
NUMBER: MTH327
4 semester credits
This course, together with MTH325 AND MTH326, covers all required calculus topics for engineering, science, and mathematics majors. MTH327, which can be described by the title: "Multivariable Calculus," may also be used as the capstone calculus course for any other major that requires such a course. Students who complete MTH327 will be well-prepared to take follow-up mathematics courses in Differential Equations and
Linear Algebra. Course topics include:
--vectors in the plane and space, the dot product and cross product, lines, planes, and
surfaces in space
--vector-valued functions, motion in space, curvature, and tangent and normal vectors
--functions of several variables, limits and continuity, partial derivatives, gradients,
directional derivatives, tangent planes, extrema of functions of several variables,
constrained optimization and Lagrange multipliers
--double and triple integrals, area, volume, and center of mass, surface integrals, polar,
cylindrical and spherical coordinates, change of variables in multiple integrals
--vector fields, curl and divergence, line integrals, surface integrals, independence of
path and conservative vector fields, Green's theorem, the Divergence theorem,
Stokes' theorem
Prerequisites: This course is intended for college students who have successfully completed MTH325 and MTH326,
i.e. Calculus I and Calculus II for Science and Math majors, or the equivalent total of 8 semester credits in Calculus I and II.
The course reflects the
standard capstone calculus material required for engineering, science, and mathematics majors, which can be
described as Multivariable Calculus, but may also be utilized as a thorough capstone calculus course for any other major.
Prospective students are asked to provide a copy of their college transcript showing completion of at least 8 semester credits of college calculus I and II with a grade of at least C.
A textbook is required.
Available through the CALCampus Bookstore.
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COURSE TITLE: LINEAR ALGEBRA
NUMBER: MTH328
4 semester credits
This course covers the standard material in systems of equations and linear spaces, balancing theoretical and pragmatic perspectives. The course is useful and/or required for science, engineering, and mathematics majors.
Prerequisites: at least two semesters of calculus (or total equivalent of 8 semester credits of college calculus I and II). And, it is recommended that a student has taken multivariable calculus (4 credits of third semester calculus) as well. The bulk of the multivariable calculus material utilized in this course is related to vectors, and can be found in the Appendix of the text. Therefore students may choose to take this course while learning the required multivariable calculus material on their own. Course topics include the following:
--linear equations, inclusive of matrices, vectors, and Gauss-Jordan Elimination
--linear transformations, image and kernel
--subspaces of Rn, linear independence
--linear spaces
--orthogonality and least squares
--determinants
--eigenvalues and eigenvectors
--symmetric matrices and quadratic forms
--introduction to linear differential equations
Prospective students are asked to provide a copy of their college transcript showing completion of at least 8 semester credits of college calculus I and II with a grade of at least C.
A textbook is required.
Available through the CALCampus Bookstore.
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Course Title: LINEAR ALGEBRA FOR BUSINESS APPLICATIONS
Course Number: MTH329
Semester Credits: 3
This course is intended primarily for non-math, non-engineering majors (business majors, for example) and focuses mainly on matrix methods, determinants, solutions of simultaneous linear equations, and topics related thereto. Concepts related to linear programming, an important business-related tool, are included. While Calculus is not significant to the understanding of the concepts and methods presented, a solid foundation is college algebra is required for success in this course. Functions, methods, and tools available in Microsoft Excel are emphasized. One semester course.
A textbook is required.
Available through the CALCampus Bookstore.
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Course Title: COLLEGE STATISTICS
Number: MTH330
3 semester credits
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.
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Course Title: DIFFERENTIAL EQUATIONS I
Number: MTH335
4 semester credits
This 12-week course is an introduction to differential equations and is the first in a two-course series (see MTH336 for the second course). Topics to be included are first-order differential equations, modeling and applications of differential equations, second-order differential equations, the Laplace Transform, numerical methods of solving differential equations, and Matrix Algebra applied to solving equations. Prerequisite: 4 semester credits of Multivariable Calculus (MTH327 at CALCampus, or its equivalent).
Required text. Available through the CALCampus Bookstore.
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Course Title: DIFFERENTIAL EQUATIONS II
Number: MTH336
4 semester credits
This 12-week course is the continuation of a first course in Differential Equations, such as MTH335 at CALCampus. Topics included are an introduction to systems, linear systems with constant coefficients, nonlinear systems, series solutions to differential equations, fourier series, and partial differential equations. The prerequisites for this course are courses in multivariable calculus (equivalent to MTH 327 at CALCampus), a first course in differential equations (equivalent to MTH 335 at CALCampus), and a background in linear algebra that can be satisfied by a course in linear algebra (equivalent to MTH 328 at CALCampus)
Required text. Available through the CALCampus Bookstore.
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High School Courses
Math Course Title: CONSUMER MATHEMATICS
Number: MTH 202
Half-year content. 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, and social security tax. This is useful for everyone living in a consumer-oriented society.
Required textbook. Available through the CALCampus Bookstore.
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Math Course Title: PRE-ALGEBRA
Number: MTH203
Full year content. 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.
Topics include:
- 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.
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Math Course Title: HIGH SCHOOL ALGEBRA I
Number: MTH205
Full year content. 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.
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Course Title: PLANE GEOMETRY
Number: MTH207
High school level geometry. Full year content. 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. Pre-requisite: High School Algebra I.
Textbook is required.
Available through the CALCampus Bookstore.
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Math Course Title: HIGH SCHOOL ALGEBRA II
Number: MTH208
Full year content. 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. Pre-requisites: High School Algebra I and Plane Geometry.
Students completing this course will have learned:
First Degree Equations and Inequalities
Linear Relations and Functions
Systems of Equations and Inequalities
Matrices
Polynomial and Radical Equations and Inequalities
Quadratic Functions and Inequalities
Polynomial Functions
Conic Sections
Rational Expressions and Equations
Exponential and Logarithmic Relations
Sequences and Series
Probability and Statistics
Trigonometric Functions
Trigonometric Graphs and Identities
Textbook required. See CALCampus Bookstore.
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Course Title: TRIGONOMETRY
Number: MTH210
Full year content. 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.
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Course Title: BUSINESS MATHEMATICS
Number: MTH211
Half year content. 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.
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Math Course Title: BEGINNING CALCULUS I (high school)
Number: MTH215
Half year content. This course may be used for high school calculus credit (MTH215 and MTH216
equate to a full year of high school calculus).
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.
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Course Title: BEGINNING CALCULUS II (high school)
Number: MTH216
Half year content. 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.
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