## Mathematics Courses

**Mathematics Courses**

#### MAT101 | Credit: 1 | PREREQUISITES: Pre-Algebra

This course uses the widely acclaimed Saxon method, incorporating incremental conceptual development in each lesson, practice problems related to that concept, and numerous review problems related to previous lessons. The basic concepts of Algebra are explained clearly, including: evaluation of expressions involving signed numbers and the absolute value of numbers; exponents and roots; properties of real numbers; solving linear and simultaneous equations; polynomials and rational expressions; word problems; the Pythagorean theorem; algebraic proofs, functions, and functional notation; scientific notation; solution of quadratic equations; multiplication and division of polynomials; domain and range; unit conversions; computation of perimeter, area, surface area, and volume; statistics and probability.

#### TEXT: *Algebra I *by John Saxon, *Solutions Manual *

#### OPTIONAL: Interactive CD

#### ONLINE: Tests

#### MAT201 | Credit: 1 | PREREQUISITES: Algebra 1

This course continues the Saxon methodology of Algebra I. The text not only treats the more advanced topics that are traditionally covered in second-year algebra but also covers some geometry. Specific topics include further development of concepts introduced in Algebra I as well as: imaginary and complex roots of quadratic equations; solutions of simultaneous linear and non-linear equations and inequalities; conic sections; logarithms and antilogarithms; exponential equations; basic trigonometric functions; advanced factoring techniques; proofs of congruence; deductive reasoning; properties of parallel and perpendicular lines; properties of triangles; chords, arcs, and inscribed angles in circles; basic geometric constructions; Venn diagrams; vectors; polar and rectangular coordinate systems; set theory; advanced algebraic word problems; and mathematical aspects related to concepts in physics and chemistry.

#### TEXT: *Algebra II *by John Saxon, *Solutions Manual *

#### OPTIONAL: Interactive CD

#### ONLINE: Tests

**The Geometry requirement can also be satisfied by completing a three-course series of Saxon books including Algebra I, Algebra II, and Advanced Math I. All of the standard concepts normally found in an individual Geometry course are found within these three courses.**

#### MAT211 (09A) | Credit: 1 | PREREQUISITES: Algebra 1

**Seton recommends this course over the Saxon course.** Houghton Mifflin concentrates on Classical Geometry, especially on two-column proofs. The Houghton Mifflin course is known for its thoroughness and excellence in the areas of proofs, theorems, and postulates. The Houghton Mifflin Geometry text book is a pure Geometry book. It avoids, as much as possible, subject matter that is handled in other math courses.

Over the years, Seton has developed extensive online resources to assist the student with the concepts for the Houghton Mifflin course. In addition, Seton is developing our own version of audio-visual tutorials that are similar to the DIVE CDs and SAXON TEACHER CDs that are available for the Saxon course. The tutorials for the first semester lessons are already available, or are in production and will be available soon. The tutorials for the second semester should be ready early in 2014.

#### TEXT: *Geometry-Houghton Mifflin, Solutions Manual *

#### ONLINE: Conceptual block diagrams and postulates.

#### MAT211 (12a) | Credit: 1 | PREREQUISITES: Algebra I

This course, incorporating modern insights, and using the Saxon method of incremental development and continuous review, provides the student with a thorough understanding of all the basic concepts of geometry: points, lines, planes, and angles; deductive reasoning; parallel lines and planes; congruent triangles; quadrilaterals; right triangles; circles; construction and loci; areas of plane figures; and areas and volumes of solids. Emphasis is given to visualization of figures and diagrams are used extensively. Numerous example problems are presented within the text, as well as assigned problems to be done independently by the student, backed up by a problem solution key.

#### TEXTS: *Saxon Geometry Home Study Kit, Solutions Manual *

#### OPTIONAL: Interactive CD

#### MAT401 (12a) | Credit: 1 | PREREQUISITES: Algebra II

This course comprises the first half of the Saxon Advanced Math textbook. The complete course includes an integrated program of Geometry, Trigonometry, and Advanced Algebra. Specifically, in addition to reviewing concepts taught in Algebra II in more depth, this half of the overall course covers advanced topics including: reciprocal, exponential, combining, and decomposing functions; sums of and inverse trigonometric functions; solving trigonometric equations using factoring; laws of logarithms and logarithmic equations; linear regression; permutations; factoring over the complex plane; abstract coefficients; single variable analysis; and polar forms of complex numbers.

#### TEXTS: *Advanced Math *by John Saxon, *Solutions Manual *

#### OPTIONAL: Interactive CD

#### MAT401 (12a) | Credit: 1 | PREREQUISITES: Advanced Math I

This course comprises the second half of the Saxon Advanced Math textbook. This second half of the course covers advanced concepts including: radicals in trigonometric equations; locus concepts in analytic geometry; matrices, matrix algebra, and inverse matrices; determinants and solutions of equations using determinants; law of sines and law of cosines; combinations; trigonometric identities; De Moivre’s Theorem; geometric progressions and series; arithmetic and geometric means; logarithmic inequalities; binomial theorem; synthetic division; the Remainder Theorem; solving solutions of equations using a graphing calculator.

#### TEXTS: *Advanced Math* by John Saxon, *Solutions Manual*

#### OPTIONAL: Interactive CD

#### MAT404 | Credit: 1 | PREREQUISITES: Advanced Math II

Designed for prospective mathematics majors as well as for students whose primary interests are in engineering, physics, business, or the life sciences. Concepts covered include: the derivative; the derivative of sums and differences; the derivatives of a quotient; implicit differentiation; derivatives of inverse functions; the derivatives of specific functions including logarithmic and trigonometric functions; the differential; product rule for derivatives and differentials; the chain rule; differential equations; integration; the integrals of specific functions including logarithmic and trigonometric functions; integration by parts.

#### TEXTS: *Calculus * by John Saxon and Frank Wang, *Solutions Manual*

#### OPTIONAL: Interactive CD

#### MAT121 | Credit: 1 | PREREQUISITES: None

*Consumer Math* deals with issues of interest to teenagers like buying a car and purchasing food and clothing. It also addresses subjects important to adults like living on a budget, banking, keeping good tax records, and purchasing a home. The Christian text presents a Scriptural view of working, tithing, saving, paying taxes, and presents positively the American free-enterprise system. Each unit contains sample problems and a wealth of practice problems. An analytical skills section in each chapter challenges students to analyze real life issues. Filled with charts, graphs, and illustrations to spark student interest, Consumer Math is not only informative but also fun.

**For students seeking the Academic and General Diplomas, Consumer Math can be substituted for Algebra 2 as the third year of Math.**

#### TEXTS: *Consumer Math *by *A Beka*

#### MAT412 | Credit: 1/2 | PREREQUISITES: None

Logic is the first part of the science of philosophy. Seton’s Logic course uses a Christian book, Traditional Logic, by Memoria Press, which “presents the four kinds of logical statements, syllogisms and the rules for the validity of syllogisms, and more.” Students will learn to reason well to discern whether an argument reaches a sound conclusion, and thus determine if an answer is reasonable. One semester, one half-credit. Highly recommended for the college-bound.

#### TEXTS: *Traditional Logic I: Introduction to Formal Logic, Traditional Logic I: Answer Key, *by *A Beka*

#### OPTIONAL: Interactive CD

#### ONLINE Tests

As a supplement to the Saxon math books, Seton is pleased to offer Interactive Math CDs. These CDs offer tutorials on each lesson in the Saxon books. The lessons are taught using a whiteboard which fills up most of the computer screen and is easy to view.

Each lesson is approximately 20 minutes long. After the new concepts are taught in the first part of the lesson, the student works out the example problems on his or her own by pausing the program. Then the student can watch the correct explanation of each problem.

For most Saxon courses there is a choice between the independently produced D.I.V.E. into Math and Science CDs and Saxon Teacher CDs produced by Saxon. Saxon Teacher CDs cost more but also provide the solutions to all problems in the text. D.I.V.E. CDs provide lesson instruction with their own examples.

### Saxon Teacher or D.I.V.E: the Difference

Both interactive video supplements do an excellent presentation of each lesson in the Saxon text and teach the math concepts in a most adequate manner.

The new Saxon Teacher is the official supplement to the Saxon Home Study Program. The lessons are longer, taking 20-30 minutes, and use the actual problems in the textbook. The professional math instructor walks the student through each lesson in the textbook, as well as each problem in the practice set and problem set. The subject is covered on four or five Lesson CDs and one Test Solution CD.

The lessons are shorter in D.I.V.E. into Math, often covering the day’s lesson in 10-20 minutes. Dr. Shormann, the instructor, uses representative problems to illustrate the lesson’s concepts. The subject is covered on one or two CDs.

Both are compatible with Windows and Mac.

Algebra I Algebra II Houghtn Mifflin Geometry

Saxon Geometry Advanced Math I Advanced Math II Consumer Math Calculus Logic