Math 300 Lecture Videos

This is a collection of lecture videos for a Community College Algebra class below the transfer level. Corrections with time stamps are provided whenever appropriate.

1.1 Expressions, Relations, and Substitution

1.1-expressions-relations-substitution.mp4

1.2 Real Number Axioms

1.2-axioms.mp4

1.6 Prime Numbers

1.6-primes.mp4

00:07:54 Instead of "commutative and associative properties of addition" it should be "...of multiplication".

1.8 LCM and Fractions

1.8-lcm-fractions.mp4

00:09:30 I say "5 squared" but write 5 to the 5th, answer not affected.

1.9 Translation

1.9-translation.mp4

2.1 Linear Equations

2.1-linear-equations.mp4

2.2 Solving Linear Equations

2.2-solving-linear-equations.mp4

2.2-applications.mp4

2.3 Linear Formulas

2.3-solving-formulas.mp4

2.4 Percent

2.4-percent.mp4

2.5 Apps to Work at Constant Rate

2.5-work-apps.mp4

2.6 Linear Inequalities

2.6-linear-ineq.mp4

3.2 Solution Sets

3.2-solution-sets.mp4 - Plotting solution sets for equations in 2 variables, and linear equations in particular.

3.3 Intercepts

3.3-intercepts.mp4 - Finding intercepts and using them for plotting lines.

3.4 Slope

3.4-slope.mp4

3.5 Slope-intercept Form

3.5-slope-intercept.mp4 - Slope-intercept form, parallel and perpendicular lines.

3.6 Point-slope Form

3.6-point-slope.mp4 - Point-slope form, finding an equation of a line given two points.

3.7 Function Notation

3.7-functions.mp4

4.1, 4.2, 4.3 Linear Systems

4.1-graphing.mp4 - Solution sets and solving linear systems by graphing.

4.2-substitution.mp4 - Solving linear systems via substitution.

4.3-elimination.mp4 - Addition and multiplication properties for systems, and solving linear systems via elimination.

4.4 Applications of Systems

4.4-systems-apps.mp4 - Easy applications of linear systems.

4.4-mixture-apps.mp4 - Mixture applications of linear systems.

4.5 Bivariate Inequalities

4.5-bivar-inequalities.mp4 - Linear inequalities in two variables.

5.1, 5.2, 5.3 Integer Exponent and Polynomials

5.1-5.2-int-exp.mp4 - Properties of integer exponent.

5.3-polynomials.mp4 - Monomial and polynomial expressions.

5.7 Polynomial Division

5.7-polynomial-division.mp4 - Polynomial long division.

5.8 Negative Exponent

5.8-neg-exponent.mp4 - Negative integer exponent and scientific notation.

6.1, 6.2 GCF and Grouping

6.1-6.2-gcf-grouping.mp4 - Monomial GCF and factoring by grouping.

6.5, 6.6 Special Products and Factoring Strategy

6.5-special-products.mp4 - Factoring special products: squares of binomials and the difference of squares.

6.6-factoring-strategy.mp4 - Comprehensive factoring strategy.

6.7 Polynomial Equations

6.7-polynomial-equations.mp4 - Solving polynomial equations using factoring and zero product property.

7.1, 7.2 Rational Expressions

7.1-rational-expr.mp4 - Rational expressions and their domains.

7.2-re-products.mp4 - Products of rational expressions.

7.6 Rational Equations

7.6-rational-equations.mp4 - Solving rational equations and dealing with extraneous solutions.

7.6-examples.mp4 - More examples of solving rational equations.

8.1 Radicals

8.1-radicals.mp4 - Principal square root and nth degree root.

8.1-root-vs-exponent.mp4 - Principal nth degree root and exponential expressions.

8.2 Radicals and Products

8.2-radical-products.mp4 - Products involving radical expressions.

8.3 Radicals and Fractions

8.3-radical-fractions.mp4 - Fractions involving radical expressions and rationalizing denominators.

8.3-more-examples.mp4 - More examples of rationalizing denominators.

8.4 Sums of Radicals

8.4-radical-sums.mp4 - Sums of radical expressions; rationalizing denominators with two terms.

8.5 Radicals in Equations

8.5-radical-equations.mp4 - Solving equations involving square roots.

8.5-more-examples.mp4 - More examples of radical equations.

8.6 Applications of Square Root

8.6-radical-apps.mp4 - Cartesian distance formula and applications to right triangles.

8.7 Rational Exponent

8.7-rational-exp.mp4 - Definition and properties of rational exponent.

9.1, 9.2 Complex Numbers and Square Root Property

9.1-9.2-complex-numbers.mp4 - Complex numbers, principal square root of a negative number, square root property for equations.

9.3 Completing the Square

9.3-complete-square.mp4 - Solving quadratic equations by completing the square.

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