Older Videos

Videos from prior to 2017 are available below. You will need to sign in to your UFL account in order to access these videos.

Real Numbers and Their Properties

• Real Numbers Links to an external site. [5:37]
• Exponential Notation Links to an external site. [2:36]
• Order of Operations Links to an external site. [6:26]
• Properties of a Real Number Links to an external site. [9:44]

Complex Numbers

• The Imaginary Unit Links to an external site. [2:00]
• The Expression √-a Links to an external site. [7:57]
• Operations of Complex Numbers Links to an external site. [5:40]
• Complex Conjugates Links to an external site. [1:49]
• Quotient of Complex Numbers Links to an external site. [4:25]
• Powers of i Links to an external site. [3:28]

Polynomials and Factoring 

• Rules for Positive Exponents Links to an external site. [13:01]
• Adding and Subtracting Polynomials Links to an external site. [2:13]
• Multiplying Polynomials Links to an external site. [3:54]
• Special Products Links to an external site. [5:42]
• Factoring Polynomials Links to an external site. [1:02]
• Factoring out the Greatest Common Factor (GCF) Links to an external site. [5:52]
• Factor by Grouping Links to an external site. [2:21]
• Factoring a Second-Degree Trinomial Links to an external site. [9:21]
• Special Products Links to an external site. [8:45]
• Factoring by Substitution Links to an external site. [11:40]

Rational and Radical Exponents

• Negative Exponents Links to an external site. [2:07]
• Quotient Rule Links to an external site. [4:12]
• Rules for Exponents Links to an external site. [7:18]
• Rational Exponents Links to an external site. [18:29]
• Radical Notation Links to an external site.[7:51]
• Evaluating ⁿ√aⁿ Links to an external site.[3:44]
• Rules for Radicals Links to an external site.[5:01]
• Simplifying Radicals Links to an external site. [10:40]
• Operations with Radicals Links to an external site.[12:10]
• Rationalizing the Denominator Links to an external site. [6:03]

Solving Linear Equations

• Linear Equations Links to an external site. [1:17]
• Linear Equation in One Variable Links to an external site. [0:42]
• Solving Linear Equations Links to an external site. [8:32]
• Identities, Conditional Equations, and Contradictions Links to an external site. [9:10]
• Steps for Solving Applied Problems Links to an external site. [1:40]
• Geometry Problem Links to an external site. [7:27]
• Motion Problem Links to an external site. [7:39]
• Mixture Problem Links to an external site.[6:59]
• Investment Problem Links to an external site.[7:39]

Solving Quadratic Equations

• Quadratic Equation in One Variable Links to an external site. [:58]
• Solving by Factoring Links to an external site. [5:11]
• Square Root Property Links to an external site. [3:27]
• Solving a Quadratic Equation by Completing the Square Links to an external site. [10:06]
• Quadratic Formula Links to an external site. [7:42]
• Applications and Modeling with Quadratic Equations Links to an external site. [5:42]
• Geometry Links to an external site. [5:24]
• Pythagorean Theorem Links to an external site. [10:56]
• Projectile Motion Links to an external site.[5:56]

Solving Rational, Radical, and Absolute Value Equation

• Rational Equations Links to an external site. [11:45]
• Work Rate Problems Links to an external site. [4:38]
• Equations with Radicals Links to an external site. [8:35]
• Equations with Rational Exponents Links to an external site. [3:52]
• Equations Quadratic in Form Links to an external site. [10:13]
• Absolute Value Equations Links to an external site. [13:16]

Inequalities

• Properties of Inequalities Links to an external site. [2:17]
• Linear Inequality in One Variable Links to an external site. [13:06]
• Break Even Point Links to an external site. [11:02] *There is a mistake in this video.  Please see the correction here.
• Quadratic Inequality Links to an external site. [15:21]
• Rational Inequalities Links to an external site. [12:51]
• Absolute Value Inequalities Links to an external site. [22:46]

Graphs of Basic Functions

• Continuity Links to an external site. [3:46]
• Identity Function: f(x) = x  Links to an external site. [2:38]
• Squaring Function: f(x) = x² Links to an external site. [3:25]
• Cubing Functions f(x) = x³ Links to an external site. [3:18]
• Square Root Function: f(x) = √x Links to an external site. [3:02]
• Cube Root Function: f(x) = ³√x Links to an external site. [3:27]
• Absolute Value Function: f(x) = │x│ Links to an external site. [4:23]
• Piecewise-Defined Functions Links to an external site. [12:10]

Operations on Functions - Graphically

• Reflecting Links to an external site. [7:33]
• Symmetry Links to an external site. [12:47]
• Even and Odd Functions Links to an external site. [8:58]
• Translations Links to an external site. [13:15]

Operations on Functions - Arithmetically

• Operations on Functions and Domains [16:51] Links to an external site.

Long and Synthetic Division

• Dividing Polynomials by Long Division Links to an external site. [13:14]
• Dividing Polynomials by Synthetic Division Links to an external site. [6:12]

Synthetic Division Applications

• Testing Potential Zeros Links to an external site. [5:42]

Composition of Functions

• Composition of Functions and Domain Links to an external site. [17:46]

Inverse Functions

• One-to-One Functions [4:16] Links to an external site.
• Horizontal Line Test [2:58] Links to an external site.
• Tests to Determine Whether a Function is One-to-One [0:53] Links to an external site.
• Inverse Functions [8:08] Links to an external site.
• Finding the Equation of the Inverse of y = f(x) [10:36] Links to an external site.
• Graphing the Inverse of a Function y =f(x) [6:02] Links to an external site.
• Important Facts About Inverses [1:04] Links to an external site.

Vertex Form for Quadratic Functions

• Polynomial Function Links to an external site. [6:40]
• Quadratic Functions Links to an external site. [6:13]
• Completing the Square Links to an external site. [1:18]
• The Graph of f(x) = ax² + bx + c; a =/= 0 Links to an external site. [17:09]

Modeling Movement using Quadratic Functions

• Quadratic Models Links to an external site. [8:58]

Polynomial Functions

• Graphs of f(x) = xⁿ [3:39] Links to an external site.
• Graphs of General Polynomial Functions [6:08] Links to an external site.
• Behavior at Zeros [5:38] Links to an external site.
• Turning Points and End Behavior [8:04] Links to an external site.
• Graphing Polynomial Functions [14:23] Links to an external site.

Rational Functions

• Rational Functions [4:44] Links to an external site.
• The Reciprocal Function: f(x) = 1/x [9:26] Links to an external site.
• Rational Functions f(x) 1/x² [9:34] Links to an external site.
• Asymptotes [3:06] Links to an external site.
• Holes [9:47] Links to an external site.

Exponential and Logarithmic Functions

• Law of Exponents [1:33] Links to an external site.
• Additional Properties of Exponents [3:29] Links to an external site.
• Exponential Functions [0:47] Links to an external site.
• The Exponential Function f(x) = ax, a>1 [5:31] Links to an external site.
• The Exponential Function f(x) = ax, 0<a<1 [15:04] Links to an external site.
• Compound Interest [11:44] Links to an external site.
• The Number E [1:18] Links to an external site.
• Continuous Compounding [3:53] Links to an external site.

Solving Exponential and Logarithmic Functions

• Solving Exponential or Logarithmic Equations Links to an external site. [22:39]