Our Faculty Nicki Rosa BS, Mathematics MS, Computer Science Teaching Experience: Head of Math Department, Community Prep School, Colorado Springs, CO Founder, TotalMath.net Michael Hosking B.S., Biology; Ph.D., Ecology, Evolution and Organismal Biology Teaching experience: Davidson College (Davidson, NC) Gary Schwartz M.S., Ph.D., Mathematics Teaching experience: University of Oklahoma, Northern Illinois University Castle Rock

Lecture Hall - Current and Upcoming Lectures ARCHIVED LECTURES Date: Time: Length: 2003.7.15 11:30 PM PST 15 min. Introduction to PersonalProfessors! — Please view before you begin your studies. MORE DETAILS… Date: Time: Length: 2004.9.23 1:30 PM PST 15 min. Quadratic Formula — We will discuss the quadratic formula and review strategies for solving quadratic equations. MORE DETAILS… Date: Time: Length: 2004.9.29 1:30 PM PST 15 min. Sets, Inequalities and Intervals — Working on notation for sets, inequalities and intervals. MORE DETAILS… Date: Time: Length: 2004.9.30 1:30 PM PST 15 min. Solving Simple Inequalities — continuing with inequalities from the previous lesson. MORE DETAILS… Date: Time: Length: 2004.10.6 1:30 PM PST 15 min. Intersections and Compound Inequalities — Intersections of sets and intervals. Compound inequalities (like 0 < x < 4). MORE DETAILS… Date: Time: Length: 2004.10.7 1:30 PM PST 15 min. Unions and Inequalities — Unions of sets and intervals and applications to inequalities. MORE DETAILS… Date: Time: Length: 2004.10.13 1:30 PM PST 15 min. Absolute Value — Definition and algebraic properties of absolute values. MORE DETAILS… Date: Time: Length: 2004.10.14 1:30 PM PST 15 min. Absolute Value Equations — Solving equations and inequalities involving absolute values MORE DETAILS… Date: Time: Length: 2004.10.20 1:30 PM PST 15 min. Absolute Value Inequalities — Solving inequalities with absolute values. MORE DETAILS… Date: Time: Length: 2004.10.21 1:30 PM PST 15 min. Graphs — Review of basic graphing. MORE DETAILS… Date: Time: Length: 2004.10.27 1:30 PM PST 15 min. Graphing Equations — Graphing linear and quadratic equations. MORE DETAILS… Date: Time: Length: 2004.10.28 1:30 PM PST 15 min. Functions — Functions and their domains and ranges. MORE DETAILS… Date: Time: Length: 2004.11.3 1:30 PM PST 15 min. More on Functions — Find the natural domain of a function. More on lines. MORE DETAILS… Date: Time: Length: 2004.11.4 1:30 PM PST 15 min. Graphs of lines — Graphs of lines and their equations. MORE DETAILS… Date: Time: Length: 2004.11.10 1:30 PM PST 15 min. Finding Equations of Lines — Finding Equations of lines from either two points or from one point and the slope. MORE DETAILS… Date: Time: Length: 2004.11.11 1:30 PM PST 15 min. Finishing up with lines. — Other concepts related to lines. MORE DETAILS… Date: Time: Length: 2004.11.17 1:30 PM PST 15 min. Systems of Equations I — Systems of equations in two variables. MORE DETAILS… Date: Time: Length: 2004.11.18 1:30 PM PST 15 min. Systems of Equations II — Solving systems with two variables. MORE DETAILS… Date: Time: Length: 2004.11.24 1:30 PM PST 15 min. Systems of Equations III — Elimination and systems with three variables. MORE DETAILS… Date: Time: Length: 2004.12.1 1:30 PM PST 15 min. Systems of Equations IV — Solving systems of equations in 3 variables. MORE DETAILS… Date: Time: Length: 2004.12.2 1:30 PM PST 15 min. Systems of Equations V — More systems of equations with 3 variables. MORE DETAILS… Date: Time: Length: 2004.12.8 1:30 PM PST 15 min. Systems of Inequalities — Solving systems of inequalities in 2 variables. MORE DETAILS… Date: Time: Length: 2004.12.9 1:30 PM PST 15 min. Introduction to Polynomials — Review of polynomial basics. MORE DETAILS… Date: Time: Length: 2005.1.5 1:30 PM PST 15 min. Polynomial Anatomy — Special terms and coefficients of polynomials. MORE DETAILS… Date: Time: Length: 2005.1.6 1:30 PM PST 15 min. Operations with Polynomials — Basic arithmetic with polynomials MORE DETAILS… Date: Time: Length: 2005.1.12 1:30 PM PST 15 min. Multiplication of Polynomials I — Basics of polynomial multiplication. MORE DETAILS… Date: Time: Length: 2005.1.13 1:30 PM PST 15 min. Multiplication of Polynomials II — Finishing polynomial multiplication. MORE DETAILS… Date: Time: Length: 2005.1.19 1:30 PM PST 15 min. Introduction to Polynomial Division — Beginning concepts for division of polynomials. MORE DETAILS… Date: Time: Length: 2005.1.20 1:30 PM PST 15 min. Polynomial Division — Basics of polynomial long-division. MORE DETAILS… Date: Time: Length: 2005.1.26 1:30 PM PST 15 min. Synthetic Division I — Synthetic division saves time. MORE DETAILS… Date: Time: Length: 2005.1.27 1:30 PM PST 15 min. Synthetic Division II — Finishing up with synthetic division. MORE DETAILS… Date: Time: Length: 2005.2.2 1:30 PM PST 15 min. Factoring Polynomials I — Basics of factoring polynomials. MORE DETAILS… Date: Time: Length: 2005.2.3 1:30 PM PST 15 min. Factoring Polynomials II — Factoring general polynomials. MORE DETAILS… Date: Time: Length: 2005.2.9 1:30 PM PST 15 min. Complex Numbers I — Review of complex numbers. MORE DETAILS… Date: Time: Length: 2005.2.10 1:30 PM PST 15 min. Complex Numbers II — Arithmetic of complex numbers. MORE DETAILS… Date: Time: Length: 2005.2.16 1:30 PM PST 15 min. Rational Functions and Expressions I — Dealing with rational expressions. MORE DETAILS… Date: Time: Length: 2005.2.17 1:30 PM PST 15 min. Rational Functions and Expressions II — Simplifying rational expressions. MORE DETAILS… Date: Time: Length: 2005.2.23 1:30 PM PST 15 min. Simplifying Rational Expressions — Multiplication and division with cancellation. MORE DETAILS… Date: Time: Length: 2005.2.24 1:30 PM PST 15 min. Common denominators — Finding LCMs of polynomials. MORE DETAILS… Date: Time: Length: 2005.3.2 1:30 PM PST 15 min. Arithmetic of Rational Expressions — Adding and subtracting rational expressions. MORE DETAILS… Date: Time: Length: 2005.3.3 1:30 PM PST 15 min. Roots and Radicals — Basics of square roots and cube roots. MORE DETAILS… Date: Time: Length: 2005.3.9 1:30 PM PST 15 min. Rational Exponents — Rational numbers as exponents. MORE DETAILS… Date: Time: Length: 2005.3.10 1:30 PM PST 15 min. Simplifying Radicals I — Laws of Exponents MORE DETAILS… Date: Time: Length: 2005.3.16 1:30 PM PST 15 min. Simplifying Radicals II — Multiplication and division. MORE DETAILS… Date: Time: Length: 2005.3.17 1:30 PM PST 15 min. Algebra with Radicals. — Algebra with expressions that have radicals. MORE DETAILS… Date: Time: Length: 2005.3.23 1:30 PM PST 15 min. Solving Radical Equations I — Solving equations with one radical term. MORE DETAILS… Date: Time: Length: 2005.3.24 1:30 PM PST 15 min. Solving Radical Equations II — Solving equations with two radical terms. MORE DETAILS… Date: Time: Length: 2005.3.30 1:30 PM PST 15 min. Exponential Functions — Introduction to exponential functions. MORE DETAILS… Date: Time: Length: 2005.3.31 1:30 PM PST 15 min. Inverses — Inverse functions and relations. MORE DETAILS… Date: Time: Length: 2005.4.6 1:30 PM PST 15 min. Inverse Formulas — Formulas for inverse functions. MORE DETAILS… Date: Time: Length: 2005.4.7 1:30 PM PST 15 min. Composition and Inverses — How inverses behave with respect to composition. MORE DETAILS… Date: Time: Length: 2005.4.13 1:30 PM PST 15 min. Logarithms — Introducing logarithmic functions. MORE DETAILS… Date: Time: Length: 2005.4.14 1:30 PM PST 15 min. Properties of Logarithms — Rules for simplifying logarithms MORE DETAILS… Date: Time: Length: 2005.4.20 1:30 PM PST 15 min. The Natural Logarithm — Definition of the natural logarithm. MORE DETAILS… Date: Time: Length: 2005.4.21 1:30 PM PST 15 min. Exponential Equations — Basic solving techniques. MORE DETAILS… Date: Time: Length: 2005.4.27 1:30 PM PST 15 min. Logarithmic Equations — Solving logarithmic equations. MORE DETAILS… Date: Time: Length: 2005.4.28 1:30 PM PST 15 min. Applications of Logarithms — Various applications of logarithmic functions. MORE DETAILS… Date: Time: Length: 2005.5.4 1:30 PM PST 15 min. Applications of Exponentials I — Exponential decay. MORE DETAILS… Date: Time: Length: 2005.5.5 1:30 PM PST 15 min. Applications of Exponentials II — Exponential growth. MORE DETAILS… Date: Time: Length: 2005.5.11 1:30 PM PST 15 min. Conic Sections — Introduction to conic sections. MORE DETAILS… Date: Time: Length: 2005.5.12 1:30 PM PST 15 min. Parabolas — Properties of parabolas and graphing. MORE DETAILS… Date: Time: Length: 2005.5.18 1:30 PM PST 15 min. Parabolas II — More on parabolas. MORE DETAILS… Date: Time: Length: 2005.5.19 1:30 PM PST 15 min. Circles and Ellipses — Graphing circles and ellipses. MORE DETAILS… Date: Time: Length: 2005.5.25 1:30 PM PST 15 min. Hyperbolas — Standard form, graphing. MORE DETAILS… Date: Time: Length: 2005.5.26 1:30 PM PST 15 min. Probability I — Basic concepts for probability. MORE DETAILS… Date: Time: Length: 2005.6.1 1:30 PM PST 15 min. Probability II — How to count when order matters. MORE DETAILS… Date: Time: Length: 2005.6.2 1:30 PM PST 15 min. Probability III — How to count when order doesn't matter. MORE DETAILS… Date: Time: Length: 2005.6.8 1:30 PM PST 15 min. Mathematical Induction I — Definition and examples of mathematical induction. MORE DETAILS… Date: Time: Length: 2005.6.9 1:30 PM PST 15 min. Mathematical Induction II — More examples of mathematical induction. MORE DETAILS… Date: Time: Length: 2005.6.15 1:30 PM PST 15 min. Arithmetic Sequences and Series — Definition and formulas for arithmetic sequences and series. MORE DETAILS… Date: Time: Length: 2005.6.16 1:30 PM PST 15 min. Geometric Sequences and Series — Definition and formulas for geometric series. MORE DETAILS…   ARCHIVED LECTURES BY SUBJECT ALGEBRA I   ALGEBRA II   BIOLOGY   CAHSEE   GEOMETRY   TRIG/PRE-CALC   © 2002 Renaissance Education Group, Inc. Home | Privacy Policy | Terms of Service