SAIS Pre-Calc DVD Module Listing

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Interactive Pre-Calculus DVD


Volume 1		(all times are approximate)
Introduction (3:00):		Pre-Calculus for Economists
Module 1 (12:20):		Introducing counting or natural numbers
Module 2 (21:30):		Introducing division and rational numbers
Module 3 (10:00):		Introducing irrational numbers; exercise
Module 4 (20:00):		A deeper understanding of real numbers – Infinite sets
Module 5 (08:00):		Order of numbers and absolute value; exercise 1; exercise 2
Module 6 (14:20):		The seven axioms or rules of real numbers
Module 7 (16:30):		Basic exponent rules; exercise
Module 8 (11:00):		Basic operations with fractions (rational numbers); exercise
Module 9 (11:00):		Algebraic expression; exercise
Module 10 (4:40):		Definition of a polynomial; exercise
Module 11 (6:00):		Removal of symbol of grouping; addition of algebraic expressions; exercise
Module 12 (5:30):		Operating on algebraic expressions – Subtraction; exercise
Module 13 (5:00):		Operating on algebraic expressions – Multiplication of monomial by a monomial; exercise
Module 14 (7:00):		Operating on algebraic expressions – Multiplication of monomial by a multinomial; exercise



Volume 2
Module 15 (6:40):		Operating on algebraic expressions – Multiplication of a binomial by a binomial; exercise
Module 16 (4:00):		Operating on algebraic expressions – Division of a monomial by another monomial; exercise
Module 17 (13:45):		Optional – Operating on algebraic expressions – Division of a polynomial by another polynomial using long division
Module 18 (4:20):		Introduction to factoring, exercise
Module 19 (5:30):		Factoring – difference of two squares; exercise
Module 20 (10:00):		Factoring – Trinomials; exercise
Module 21 (14:45):		Optional: Factoring – Sum or difference of cubes
Module 22 (15:30):		Fractions – Simplifying; exercise
Module 23 (3:00):		Fractions – Rule of signs
Module 24 (9:00):		Fractions – Multiplying algebraic expressions; exercise
Module 25 (19:00):		Fractions – Dividing fractions; exercise
Module 26 (5:15):		Fractions – Adding fractions; exercise
Module 27 (3:00):		Fractions – Simplifying complex fractions
Module 28 (9:00):		Exponents – Reviewing basic rules
Module 29 (4:00):		Exponents – examples of various types



Volume 3
Module 30 (6:00):		Exponents – Example of basic law of exponents; exercise
Module 31 (6:00):		Exponents – Example of power law of exponents; exercise
Module 32 (4:30):		Exponents – Example of quotient law of exponents, exercise
Module 33 (7:00):		Exponents – Example of product rule of exponents;exercise
Module 34 (7:30):		Exponents – Example of quotient rule of exponents; exercise
Module 35 (17:00):		Equations in general and linear equations
Module 36 (3:10):		Introduction to functions
Module 37 (16:00):		Introduction to sets -- set inclusion and the union and intersection operation, Venn diagrams; exercise
Module 38 (6:00):		Cross product sets, relations, and functions; exercise
Module 39 (16:10):		Relations and functions with real numbers
Module 40 (14:00):		Functions generated by algebraic expressions; graphs; linear functions; exercise 1, exercise 2
Module 41 (10:00):		Quadratic functions (parabolas); exercise

Volume 4
Module 42 (14:30):		Example of a cubic function; exercise
Module 43 (5:10):		Example of an exponential function; exercise
Module 44 (9:20):		Graph of a function that is a hyperbola; exercise
Module 45 (10:00):		Relationship between equations and functions;exercise
Module 46 (13:00):		Solving simultaneous linear equations (2 variables); exercise
Module 47 (5:00):		Inconsistent simultaneous linear equations; exercise
Module 48 (3:00):		Dependent equations
Module 49 (9:40):		Visualization of the solution to three dimensional equations and functions
Module 50 (17:00):		Simultaneous linear equations with three unknowns; exercise
Module 51 (12:50):		Economic application of simultaneous equation; exercise
Module 52 (18:00):		Quadratic equations; exercise


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