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Saxon Advanced Mathematics: Pre-Calculus, Part Two

With Jean Hoeft, MA

Are you entering science, technology, engineering, mathematics, or business in college? Then this Pre-Calculus will prepare you with algebraic and trigonometric concepts — including linear and nonlinear functions, complex numbers, polar coordinates, and more. Part 2 of 2, for Pre-College Students.

We will explore all the algebraic and trigonometric concepts; this includes both linear and nonlinear plus functions, complex numbers, concepts involving trigonometry, and polar coordinates. This course will fulfill requirements for Pre-calculus and ready students for High School and college advanced topics math including Calculus.

Week 1: Lessons 55-58

Topics to include: Circular Permutations; Triangular Areas; Phase Shifts in Sinusoids; Distance from a point to a line

Week 2: Lesson 59-62

Topics to include: Advanced Logarithm Problems; Factorable Trigonometric Equations; Single Variable Analysis; Abstract Coefficients

Week 3: Lessons 63-66

Topics to include: Circles and Completing the Square; The Complex Plane; Radicals in Trigonometric Equations; Formulas for Systems of Equations

Week 4: Lessons 67-70

Topics to include: Antilogarithms; Locus Definition of a Parabola; Matrices; Percentiles and z Scores

Week 5: Lessons 71-74

Week 6: Lessons 75-78

Topics to include: Combinations; Functions of (-x); Binomial Expansion; The Hyperbola

Week 7: Lessons 79-82

Topics to include: De Moivre’s Theorem; Trigonometric Identities; Law of Cosines; Taking the Logarithm of something

Week 8: Lessons 83-86

Topics to include: Simple Probability; Factorable Expressions; Advanced Trig Equations; Arithmetic Progressions and Means

Week 9: Lessons 87-90

Topics to include: Sum and Difference Identities; Exponential Functions; The Ellipse; Double-Angle Identities

Week 10: Lessons 91-94

Topics to include: Geometric Progressions; Probability of Either; Advanced Trig Identities; Graphs of Secant and Cosecant

Week 11: Lessons 95-98

Topics to include: Advanced Complex Roots; More Double-Angle Identities; The Ambiguous Case; Change of Base

Week 12: Lessons 99-102

Topics to include: Sequence Notation; Product Identities; Zero Determinants; Binomial Expansions

Week 13: Lessons 103-106

Topics to include: Logarithms; Cofactors; Translations of Conic Sections

Week 14: Review and Final Exam

**Course Materials:** Saxon Advanced Mathematics and Incremental Development, Edition 2, with the test and homeschool pack, a scientific calculator (TI 30X or the like), graph paper, ruler, protractor, compass, and pencil. Graphing calculators are useful, but not necessary. The instructor will provide a free weekly lecture in addition to the live, interactive classes.

**Homework**: 4-5 assignments per week with 15-20 problems to work per lesson. Expect to spend approximately 60 minutes a day on homework (may vary depending on the student’s understanding of new concepts).

**Class Dates:** Mondays, January 8 to April 22, 2024 (No class February 12 for mid-semester break or March 25 for Holy Week)

**Starting Time:** 11:30 AM Eastern (10:30 Central; 9:30 Mountain; 8:30 Pacific)

**Duration**: 55 minutes

THIS COURSE IS OFFERED LIVE

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