MATH 208

Concordia

Course Overview

Grade Boosters

Lessons & Practice

I. Welcome

1. Graphs and Lines

1hr

1.I. 👉 Start Here

1.1.1. Slope of a Line8 min

1.1.2. Practice Level 12 min

1.1.3. Finding the Slope of a Line8 min

1.1.4. Practice Level 24 min

1.1.5. Practice Level 36 min

1.1.6. Example4 min

1.1.7. Practice Level 33 min

1.2.1. Graphing Linear Equations - Table of Values3 min

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

1.2.3. Practice6 min

1.2.4. Graphing Linear Equations - Using Intercepts4 min

1.2.5. Practice5 min

1.2.6. Practice4 min

1.3.1. Slope & Intercept

1.3.2. Graphing

2. Quadratic Functions

3hr

2.1.1. Quadratic Functions3 min

2.1.2. Properties of Quadratic Graphs5 min

2.2.1. Common Factoring9 min

2.2.2. Practice6 min

2.2.3. Practice3 min

2.2.4. Factoring Simple Trinomials

y=x^2+bx+c

2.2.5. Practice5 min

2.2.6. Extra Simple Trinomial Factoring Drills 💪

2.2.7. Factoring Harder Trinomials

y=ax^2+bx+c

2.2.8. Practice2 min

2.2.9. Extra Trinomial Factoring Drills 💪

2.2.10. Factoring a Difference of Squares3 min

2.2.11. Practice2 min

2.2.12. Extra Difference of Squares Drills 💪

2.3.1. Solving Quadratic Equations by Factoring2 min

2.3.2. Example5 min

2.3.3. Practice Level 14 min

2.3.4. Example3 min

2.3.5. Example4 min

2.3.6. Practice Level 27 min

2.3.7. Practice Level 311 min

2.3.8. Practice Level 37 min

2.4.1. Completing the Square (

x^2+bx+c

2.4.2. Example4 min

2.4.3. Practice Level 15 min

2.4.4. Practice5 min

2.4.5. Extra Completing the Square Practice Drill 💪

2.4.6. Practice Level 34 min

2.4.7. Completing the Square (

ax^2+bx+c

2.4.8. Example4 min

2.4.9. Practice Level 25 min

2.4.10. Extra Completing the Square Practice Drill 💪

2.5.1. Solving Quadratic Equations by Completing the Square4 min

2.5.2. Example4 min

2.5.3. Practice Level 14 min

2.5.4. Practice Level 25 min

2.5.5. Practice Level 38 min

2.5.6. Practice Level 34 min

2.6.1. Quadratic Formula7 min

2.6.2. Example6 min

2.6.3. Practice Level 14 min

2.6.4. Practice Level 23 min

2.6.5. Practice Level 25 min

2.6.6. Practice Level 33 min

2.7.1. Solving Quadratic Equations4 min

2.7.2. Practice Level 25 min

2.7.3. Practice Level 33 min

2.7.4. Practice Level 33 min

2.8.1. Solving Quadratic Equations3 min

2.8.2. Solving Quadratic Equations

2.8.3. Solving Quadratic Equations1 min

2.8.4. Solving Quadratic Equations, Applied

3. Exponential Functions

1.8hr

3.1.1. Investigating Integer Exponents6 min

3.1.2. Integer Exponents1 min

3.1.3. Practice1 min

3.1.4. Practice4 min

3.1.5. Practice3 min

3.2.1. Investigating Rational Exponents5 min

3.2.2. Rational Exponents2 min

3.2.3. Practice Level 19 min

3.2.4. Practice Level 24 min

3.2.5. Practice Level 34 min

3.3.1. Exponent Rules4 min

3.3.2. Example5 min

3.3.3. Practice Level 14 min

3.3.4. Practice Level 25 min

3.3.5. Practice Level 23 min

3.3.6. Practice Level 32 min

3.4.1. Solving Exponential Equations1 min

3.4.2. Example2 min

3.4.3. Practice Level 1

3.4.4. Practice Level 2

3.4.5. Practice Level 3

3.5.1. Characteristics of Exponential Functions2 min

3.5.2. Example53 sec

3.5.3. Practice Level 12 min

3.5.4. Practice Level 22 min

3.6.1. Transformations of Exponential Functions3 min

3.6.2. Example3 min

3.6.3. Practice Level 12 min

3.6.4. Practice Level 23 min

3.6.5. Practice Level 29 min

3.7.1. Applications of Exponential Functions1 min

3.7.2. Example2 min

3.7.3. Practice Level 14 min

3.7.4. Practice Level 25 min

3.7.5. Practice Level 33 min

3.Q. Exam-Like Practice Questions5 Qns

4. Logarithmic Functions

34min

4.1.1. Basics of Logarithms3 min

4.1.2. Example3 min

4.1.3. Practice Level 1

4.1.4. Practice Level 2

4.1.5. Practice Level 3

4.2.1. Logarithm Laws4 min

4.2.2. Example2 min

4.2.3. Example 2 min

4.2.4. Practice Level 1

4.2.5. Practice Level 2

4.2.6. Practice Level 32 min

4.3.1. Solving Logarithmic Equations2 min

4.3.2. Example2 min

4.3.3. Practice Level 1

4.3.4. Practice Level 22 min

4.3.5. Practice Level 31 min

4.4.1. Using Logarithms to Solve Exponential Equations1 min

4.4.2. Example58 sec

4.4.3. Practice Level 1

4.4.4. Practice Level 2

4.4.5. Practice Level 3

4.5.1. Characteristics of Logarithmic Functions2 min

4.5.2. Example57 sec

4.5.3. Practice Level 1

4.5.4. Practice Level 2

4.5.5. Practice Level 3

4.6.1. Transformations of Logarithmic Functions2 min

4.6.2. Example2 min

4.6.3. Practice Level 1

4.6.4. Practice Level 2

4.6.5. Practice Level 3

4.7.1. Applications of Logarithmic Functions30 sec

4.7.3. Practice Level 1

4.7.4. Practice Level 2

4.7.5. Practice Level 3

4.Q. Exam-Like Practice Questions5 Qns

5. Arithmetic & Geometric Sequences

51min

5.1.1. Sequence5 min

5.1.2. Arithmetic Sequence6 min

5.1.3. Practice Level 13 min

5.1.4. Practice Level 13 min

5.1.5. Practice Level 22 min

5.1.6. Practice Level 37 min

5.1.7. Summary - Arithmetic Sequence

5.2.1. Geometric Sequences8 min

5.2.2. Example3 min

5.2.3. Practice Level 13 min

5.2.4. Practice Level 24 min

5.2.5. Practice Level 37 min

5.2.6. Summary - Geometric Sequence

5.3.1. Arithmetic Sequence, Application

5.3.2. Geometric Sequence, Application

6. Simple & Compound Interest, Future & Present Values

1.5hr

7. Systems of Linear Equations

1.2hr

7.1.1. Intro to Systems of Linear Equations (Simultaneous Equations)3 min

7.2.1. Solving by Substitution12 min

7.2.2. Example5 min

7.2.3. Practice Level 12 min

7.2.4. Practice Level 25 min

7.3.1. Solving by Simple Elimination12 min

7.3.2. Example3 min

7.3.3. Practice Level 13 min

7.3.4. Practice Level 22 min

7.3.5. Practice Level 24 min

7.3.6. Solving by Multiplication before Elimination8 min

7.3.7. Example4 min

7.3.8. Example4 min

7.3.9. Practice Level 14 min

7.3.10. Practice Level 24 min

7.4.1. System of Linear Equations, Elimination

7.4.2. System of Linear Equations, Substitution

7.4.3. System of Linear Equations

10. Matrices: Basic Operations

38min

10.1.1. Basics of Matrices3 min

10.1.2. Matrix Arithmetic3 min

10.1.3. Example1 min

10.1.4. Practice2 min

10.2.1. Matrix Multiplication6 min

10.2.2. Example1 min

10.2.3. Example4 min

10.2.4. Practice3 min

10.2.5. Practice2 min

10.2.6. Practice

10.3.1. Matrix Transpose3 min

10.3.2. Symmetric Matrices3 min

10.3.3. Example3 min

10.3.4. Practice60 sec

10.3.5. Practice2 min

10.4.1. Matrix and Scalar Multiplication

10.4.2. Matrix Multiplication

10.4.3. Matrix Multiplication and Transpose

10.4.4. Matrix Multiplication and Transpose 2 min

11. Inverse of a Square Matrix

25min

11.1.1. Matrix Inverse4 min

11.1.2. Example3 min

11.1.3. Practice32 sec

11.1.4. Practice2 min

11.2.1. Matrix Inverse Algorithm3 min

11.2.2. Example2 min

11.2.3. Example2 min

11.2.4. Practice2 min

11.3.1. Invertible Matrix Theorem2 min

11.3.2. Example1 min

11.3.3. Practice1 min

11.4.1. Matrix Inverse

11.4.2. Matrix Inverse

11.4.3. Matrix Inverse

11.4.4. Invertible Matrix

11.4.5. Matrix Inverse

12. Inequalities in Two Variables

25min

12.1.1. Solving Linear Inequalities in Two Variables5 min

12.1.2. Example5 min

12.1.3. Practice Level 13 min

12.1.4. Practice Level 36 min

12.2.1. Graphing Inequalities3 min

12.2.2. Graphing Inequalities3 min

12.2.3. Practice

13. Systems of Linear Inequalities in Two Variables

27min

13.1.1. Systems of Linear Inequalities4 min

13.1.2. Example9 min

13.1.3. Practice3 min

13.1.4. Practice5 min

13.1.5. Example: Graphing a System of Linear Inequalities5 min

13.1.6. Practice: Graphing a System of Linear Inequalities3 min

13.2.1. Solutions to Inequalities

13.2.2. Graphing Systems of Linear Inequalities

13.2.3. Systems of Linear Inequalities, Application

13.2.4. Practice

14. Basic Counting Principles, Permutations, & Combinations

1.8hr

14.1.1. Fundamental Counting Principle4 min

14.1.2. Example5 min

14.1.3. Example: Fundamental Counting Principle w/ Cases3 min

14.1.4. Example: Fundamental Counting Principle w/ Complements4 min

14.1.5. Counting Elements & Tree Diagrams4 min

14.1.6. Example: Tree Diagrams3 min

14.1.7. Example: Counting Choices w/ Trees3 min

14.1.8. Example: Counting Elements w/ Trees8 min

14.1.9. Practice: Fundamental Counting Principle2 min

14.1.10. Practice: Fundamental Counting Principle w/ Cases5 min

14.1.11. Practice: Counting Outcome w/ Trees6 min

14.1.12. Practice: Counting Elements w/ Trees7 min

14.2.1. Factorial Symbol (!)3 min

14.2.2. Permutations3 min

14.2.3. Example5 min

14.2.4. Example3 min

14.2.5. Example: Permutation w/ Repeated Objects1 min

14.2.6. Practice2 min

14.2.7. Practice: Permutation w/ Repeated Objects4 min

14.3.1. Combinations5 min

14.3.2. Example: Combination Notation3 min

14.3.3. Example: Splitting up a Group w/ Combination2 min

14.3.4. Example: Combinations6 min

14.3.5. Example: Combinations w/ Cards3 min

14.3.6. Practice: Combination Notation3 min

14.3.7. Practice: Combinations5 min

14.3.8. Practice: Combinations w/ Cards2 min

14.3.9. Practice: Combinations3 min

14.4.1. Combinations 1 min

14.4.2. Combinations

14.4.3. Combinations

14.4.4. Combinations

14.4.5. Permutations

14.4.6. Permutations

14.4.7. Permutations

15. Probability

1.8hr

15.1.1. Events & Sample Spaces6 min

15.1.2. Types of Probability6 min

15.1.3. Union, Intersection and Complement of Events4 min

15.1.4. Example3 min

15.1.5. Independent vs. Mutually Exclusive Events4 min

15.1.6. Example2 min

15.1.7. Practice

15.2.1. Venn Diagrams3 min

15.2.2. Tree Diagrams4 min

15.2.3. Two-way Table5 min

15.3.1. Interpretation of Probability2 min

15.3.2. Complement Rule3 min

15.3.3. Practice1 min

15.3.4. The Addition Rule4 min

15.4.1. Probability of Independent Events4 min

15.4.2. Example3 min

15.4.3. Practice2 min

15.5.1. Probability of Dependent Events (Conditional Probability)7 min

15.5.2. Conditional Probability: Tree Diagram5 min

15.6.1. Example6 min

15.6.2. Example7 min

15.6.3. Example7 min

15.6.4. Practice4 min

15.6.5. Practice5 min

15.7.1. Summary of Key Definitions6 min

15.8.1. Counting and Probability

15.8.2. Probability

15.8.3. Probability

15.8.4. Probability2 min

15.8.5. Probability

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