MATH 122

McGill

Course Overview

Lessons & Practice

I. Welcome

1. Algebra

4hr

1.I. 👉 Start Here

1.1.1. Numbers2 min

1.1.2. The Real Number System4 min

1.1.3. Order of Operations - BEDMAS7 min

1.1.4. Example3 min

1.1.5. Practice Level 13 min

1.1.6. Practice Level 25 min

1.1.7. Practice Level 34 min

1.2.1. Adding & Subtracting Integers & Decimals5 min

1.2.2. Multiplying & Dividing Integers & Decimals9 min

1.2.3. Practice2 min

1.2.4. Practice5 min

1.2.5. Practice Level 13 min

1.3.1. Adding & Subtracting Fractions4 min

1.3.2. Practice2 min

1.3.3. Multiplying & Dividing Fractions5 min

1.3.4. Practice5 min

1.3.5. Adding & Subtracting Mixed Numbers6 min

1.3.6. Practice Level 12 min

1.3.7. Multiplying & Dividing Mixed Numbers5 min

1.3.8. Practice2 min

1.3.9. Practice5 min

1.4.1. Hands-on Activity: The Vitruvian Man51 sec

1.4.2. Intro to Ratios, Rates, & Proportions3 min

1.4.3. Ratios & Fractions7 min

1.4.4. Rates13 min

1.4.5. Example7 min

1.4.6. Practice Level 1

1.4.7. Practice Level 23 min

1.4.8. Practice Level 25 min

1.4.9. Practice Level 24 min

1.4.10. Practice Level 37 min

1.5.1. Representing Numbers as Fractions, Decimals, and Percentages9 min

1.5.2. Practice Level 13 min

1.5.3. Converting Between Fractions, Decimals, and Percentages3 min

1.5.4. Example5 min

1.5.5. Practice Level 23 min

1.5.6. Practice Level 35 min

1.6.1. Powers & Exponents7 min

1.6.2. Practice Level 13 min

1.6.3. Is a Power Positive or Negative?2 min

1.6.4. Practice Level 12 min

1.6.5. Practice Level 23 min

1.6.6. Practice Level 33 min

1.7.1. Scientific Notation7 min

1.7.2. Example5 min

1.7.3. Practice6 min

1.7.4. Practice4 min

1.8.1. Roots & Radicals6 min

1.8.2. Square Roots of Perfect Squares4 min

1.8.3. Practice Level 15 min

1.8.4. Example4 min

1.8.5. Practice Level 260 sec

1.8.6. Practice Level 34 min

1.9.1. The Language of Algebra8 min

1.9.2. Practice2 min

1.9.3. Practice3 min

2. Functions

5hr

2.1.1. Equation of a Line4 min

2.1.2. Example5 min

2.1.3. Practice4 min

2.1.4. Horizontal & Vertical Lines4 min

2.1.5. Practice2 min

2.2.1. Slope of a Line8 min

2.2.2. Practice Level 12 min

2.2.3. Finding the Slope of a Line8 min

2.2.4. Practice Level 24 min

2.2.5. Practice Level 36 min

2.2.6. Example4 min

2.2.7. Practice Level 33 min

2.3.1. Different Forms of the Equation of a Line4 min

2.3.2. Example9 min

2.3.3. Practice Level 14 min

2.3.4. Practice Level 23 min

2.3.5. Practice Level 213 min

2.3.6. Practice Level 34 min

2.4.1. Graphing Linear Equations - Table of Values3 min

2.4.2. Graphing Linear Equations - Slope y-Intercept Form5 min

2.4.3. Practice6 min

2.4.4. Graphing Linear Equations - Using Intercepts4 min

2.4.5. Practice5 min

2.4.6. Practice4 min

2.5.1. Finding the Equation of a Line4 min

2.5.2. Practice Level 27 min

2.5.3. Practice Level 35 min

2.6.1. Supply and demand Theory1 min

2.6.2. Example: Demand and Supply6 min

2.7.1. Interval Notation 4 min

2.7.2. Set Notation3 min

2.7.3. Example4 min

2.7.4. Practice2 min

2.7.5. Practice52 sec

2.7.6. Practice44 sec

2.7.7. Cheatsheet

2.8.1. Domain2 min

2.8.2. Range2 min

2.8.3. Example2 min

2.8.4. Practice 40 sec

2.8.5. Practice 3 min

2.9.1. Activity: Exploring Quadratic Relations

2.9.2. Quadratic Functions3 min

2.9.3. Example7 min

2.9.4. Practice Level 15 min

2.9.5. Practice Level 25 min

2.9.6. Practice Level 2

2.9.7. Practice Level 37 min

2.10.1. Properties of Quadratic Graphs5 min

2.10.2. Example9 min

2.10.3. Practice Level 13 min

2.10.4. Practice Level 13 min

2.10.5. Practice Level 23 min

2.10.6. Practice Level 37 min

2.10.7. Practice Level 38 min

2.11.1. Basic of Polynomials4 min

2.11.2. Example2 min

2.11.3. Practice3 min

2.11.4. Polynomial Graphs & Characteristics4 min

2.11.5. Example2 min

2.11.6. Practice2 min

2.12.1. Even and Odd Functions3 min

2.12.2. Example2 min

2.13.1. Rational Functions4 min

2.13.2. Solving Rational Equations3 min

2.13.3. Example5 min

2.13.4. Example3 min

2.13.5. Practice6 min

2.13.6. Practice2 min

2.14.1. Exponential Functions3 min

2.14.2. Example1 min

2.14.3. Example2 min

2.15.1. Compound Interest9 min

2.15.2. Example5 min

2.15.3. Example4 min

2.15.4. Practice Level 13 min

2.15.5. Practice Level 23 min

2.15.6. Practice Level 36 min

2.16.1. Logarithmic Functions4 min

2.16.2. Example3 min

2.16.3. Example:3 min

2.16.4. Practice2 min

2.17.1. Exponential and Logarithmic Rules4 min

3. Limits and derivatives

1.3hr

3.1.1. Limit Basics2 min

3.1.2. Example1 min

3.2.1. One-Sided Limits2 min

3.2.2. Example: One-Sided Limit2 min

3.2.3. Practice3 min

3.3.1. Limit Laws 2 min

3.3.2. Practice1 min

3.4.1. Limits at Infinity3 min

3.4.2. Example60 sec

3.4.3. Example3 min

3.4.4. Example4 min

3.4.5. Practice 3 min

3.4.6. Practice3 min

3.5.1. Continuity2 min

3.5.2. Practice4 min

3.6.1. Derivatives as a Rate of Change2 min

3.6.2. Average Rate of Change46 sec

3.6.3. Example2 min

3.6.4. Practice1 min

3.7.1. The Limit Definition of a Derivative2 min

3.7.2. Example3 min

3.7.3. Practice5 min

3.8.1. Cost, Revenue, and Profit2 min

3.8.2. Example3 min

3.8.3. Practice2 min

3.8.4. Practice4 min

3.9.1. Example: Differentiability4 min

3.10.1. Indeterminate Forms50 sec

3.11.1. Example3 min

3.12.1. Computing Limits by Getting a Common Denominator1 min

3.12.2. Example2 min

3.12.3. Practice4 min

6. Applications

54min

6.1.1. Extreme Value Theorem1 min

6.2.1. Optimization1 min

6.2.2. Example4 min

6.2.3. Example4 min

6.2.4. Practice6 min

6.2.5. Practice4 min

6.3.1. Implicit Differentiation56 sec

6.3.2. Practice: Implicit Differentiation

6.4.1. Elasticity of Demand2 min

6.4.2. Example3 min

6.4.3. Practice: Elasticity of Demand4 min

6.5.1. Related Rates7 min

6.5.2. Example: Related Rates5 min

6.5.3. Related Rates with ladder4 min

6.6.1. Linear Approximation4 min

6.6.2. Linear Approximation4 min

7. An introduction to Integrals

19min

7.1.1. Antiderivatives (Indefinite Integral)3 min

7.1.2. Example2 min

7.1.3. Practice1 min

7.1.4. Practice1 min

7.1.5. Practice1 min

7.2.1. Antiderivatives (Indefinite Integral) of Exponential Functions1 min

7.2.2. Example42 sec

7.2.3. Practice1 min

7.2.4. Practice2 min

7.3.1. Antiderivatives (Indefinite Integral) of

\frac{1}{x}

7.3.2. Example2 min

7.3.3. Practice1 min

8. Techniques of integration and applications

2.6hr

8.1.1. Integration by Substitution2 min

8.1.2. Example4 min

8.1.3. Example3 min

8.1.4. Example (w/ Back-Substitution)4 min

8.1.5. Practice

8.1.6. Practice

8.1.7. Practice

8.1.8. Practice (w/ Back-Substitution)

8.2.1. Approximating Areas & Riemann Sums 3 min

8.2.2. Example4 min

8.2.3. Practice3 min

8.2.4. Practice2 min

8.2.5. Practice12 min

8.3.1. The Definite Integrals & Area Under a Curve2 min

8.3.2. Example7 min

8.4.1. Fundamental Theorem of Calculus - Part I2 min

8.4.2. Example1 min

8.4.3. Example48 sec

8.5.1. Fundamental Theorem of Calculus - Part 21 min

8.5.2. Example2 min

8.5.4. Practice 4 min

8.5.5. Practice3 min

8.5.6. Practice1 min

8.6.1. Properties of the Definite Integral2 min

8.6.2. Practice2 min

8.6.3. Practice2 min

8.7.1. Area between curves1 min

8.7.2. Example5 min

8.7.3. Example5 min

8.7.4. Practice

8.7.5. Practice

8.8.1. Volumes of Revolution by Cross Sections (Washers)3 min

8.8.2. Example4 min

8.8.3. Example3 min

8.8.4. Practice

8.8.5. Practice

8.9.1. Integration by Parts (Ignore Trig Examples)6 min

8.9.2. Practice2 min

8.10.1. Improper Integrals4 min

8.10.2. Practice 2 min

8.10.3. Practice5 min

8.10.4. Practice 5 min

8.11.1. Differential Equations8 min

8.11.2. Direction Fields/Slope Fields5 min

8.11.3. Practice Question: DE Solution Graphs3 min

8.11.4. Euler's Method (Approximating Solutions)4 min

8.11.5. Practice

8.12.1. Separable First Order Differential Equations3 min

8.12.2. Practice (separable DE)2 min

8.12.3. Practice (IVP)3 min

8.12.4. Practice (IVP)3 min

8.12.5. Practice (IVP*)5 min

8.12.6. Practice (separable DE)1 min

I Welcome

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