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Math 30-2 - Comprehensive Course Collection

Jeremy Klassen via YouTube

Overview

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Learn advanced high school mathematics through comprehensive video lessons covering exponential functions, polynomial characteristics, rational expressions, logarithms, trigonometry, probability, and combinatorics. Master exponential and logarithmic equations by reviewing exponent laws, solving simple exponential equations, and applying exponential regression techniques to real-world problems. Develop proficiency with rational expressions through systematic practice in simplifying, multiplying, dividing, adding, and subtracting rational expressions, then progress to solving rational equations and word problems. Explore polynomial characteristics and factoring techniques using both traditional methods and the quadratic formula. Study sinusoidal functions by analyzing their characteristics and learning to model real-world phenomena with trigonometric equations. Build foundational probability and statistics skills through lessons on the fundamental counting principle, permutations, combinations, independent and dependent events, mutually exclusive events, and odds calculations. Strengthen logical reasoning abilities through set theory concepts, Venn diagrams with multiple sets, and puzzle-solving techniques. Apply mathematical concepts to practical scenarios through financial word problems and various real-world applications across all topic areas.

Syllabus

Math 30 2 Exponential Functions Word Problems Lessons
Math 30 2 Characteristics of Polynomials Lesson
Math 30 2 Exponential Regression Lesson
Math 30 2 Characteristics of Exponential Functions Lesson
Math 30 2 Solving Simple Exponential Equations Lessons
Math 30 2 Review of the Exponent Laws Lesson
Math 30 2 Solving Rational Word Problems Lesson
Math 30 2 Solving Rational Equations Lesson
Math 30 2 Adding and Subtracting Rational Expressions Lesson
Math 30 2 Multiplying and Dividing Rational Expressions Lesson
Set Subtraction two examples
Math 30 2 Simplifying Rational Expressions and NPV's Lesson
Math 30 2 Solving by Factoring and the Quadratic Formula Lesson 2
Math 30 2 Factoring Review Lesson 1
Factoring Review #1 - Lesson
Factoring Review #2 - Lesson
Simplifying Rational Expressions - Lesson
Multiplying and Dividing Rationals - Lesson
Adding and Subtracting Rationals - Lesson
Solving Rational Equations - Lesson
Rational Word Problems - Lesson
Characteristics of Sinusoidal Functions - Lesson
Modeling with a Sinusoidal Function - Lesson
Financial Word Problems - Lesson
Exponential Word Problems - Lesson
Exponential Regression - Lesson
Exploring Exponential Functions - Lesson
Solving Simple Exponential Equations - Lesson
Review of Exponent Laws - Lesson
Solving Exponential and Logarithmic Equations - Lesson
Laws of Logarithms - Lesson
Logarithmic Word Problems - Lesson
Converting Between Exponential and Logarithmic Functions - Lesson
Characteristics of Logarithmic Functions - Lesson
Venn Diagrams with 3 sets - Lesson
Venn Diagrams - Lesson
Introduction to Set Theory, Definitions - Lesson
Logical Reasoning with Puzzles - Lesson
Independent and Dependent Events - Lesson
Mutually Exclusive and Non-Mutually Exclusive Events - Lesson
Odds For and Against - Lesson
Introduction to Probability - Lesson
Probability - Lesson
Combinations - Lesson
Permutations with Repetitions - Lesson
Permutations - Lesson
The Fundamental Counting Principle - Lesson

Taught by

Jeremy Klassen

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