QC051: Math Prerequisites for QC – Content moved to QC101

Course Curriculum

Chapter 1: Boolean Algebra

Lecture 1: Introduction

Lecture 2: Boolean Algebra

Lecture 3: Boolean Variables & Operators

Lecture 4: Reviewing Your Experience

Lecture 5: Truth Tables

Lecture 6: Logic Gates

Lecture 7: Logic Circuits

Lecture 8: AND Gate

Lecture 9: OR Gate

Lecture 10: NOT Gate

Lecture 11: Multiple Input Gates

Lecture 12: Equivalent Circuits 1

Lecture 13: Equivalent Circuits 2

Lecture 14: Universal Gate: NAND

Lecture 15: Exclusive-OR

Lecture 16: XOR for Assignment

Lecture 17: XOR of Bit Sequences 1

Lecture 18: XOR of Bit Sequences 2

Chapter 2: Cryptography

Lecture 1: Introduction to Cryptography

Lecture 2: Cryptography with XOR

Lecture 3: Shared Secret

Lecture 4: Importance of Randomness

Lecture 5: Breaking the Code

Chapter 3: Probability

Lecture 1: Introduction to Probability

Lecture 2: Probability of a Boolean Expression

Lecture 3: Mutually Exclusive Events

Lecture 4: Independent Events

Lecture 5: Manipulating Probabilities with Algebra

Lecture 6: P( Mutually Exclusive Events )

Lecture 7: P( Independent Events )

Lecture 8: Complete Set of Mutually Exclusive Events

Lecture 9: P( A OR B )

Lecture 10: Examples

Lecture 11: Examples

Lecture 12: P( Bit Values )

Lecture 13: Analysis with Venn Diagrams

Lecture 14: Venn Diagram P( A AND B )

Lecture 15: Venn Diagram P( A OR B )

Lecture 16: Venn Diagram P( NOT A )

Lecture 17: Examples

Lecture 18: Examples

Lecture 19: Conditional Probability

Lecture 20: Examples

Chapter 4: Statistics

Lecture 1: Introduction to Statistics

Lecture 2: Random Variables

Lecture 3: Mapping Random Variables

Lecture 4: Mean, Average, Expected Value …

Lecture 5: Example

Lecture 6: Example

Lecture 7: Beyond Mean

Lecture 8: Standard Deviation

Lecture 9: Examples

Lecture 10: Combinations of Random Variables

Lecture 11: Correlation

Lecture 12: Analysis of Correlation

Lecture 13: Test to Determine if Real-World Random Variables are Correlated

Chapter 5: Complex Numbers

Lecture 1: Introduction to Complex Numbers

Lecture 2: Imaginary i

Lecture 3: Addition

Lecture 4: Subtraction

Lecture 5: Multiplication by a Real

Lecture 6: Division by a Real

Lecture 7: Complex Multiplication

Lecture 8: Examples

Lecture 9: Complex Conjugates

Lecture 10: Squared Magnitude

Lecture 11: Complex Division

Lecture 12: Examples

Lecture 13: Euler's Formula

Lecture 14: Polar Form

Lecture 15: Examples

Lecture 16: Fractional Powers

Lecture 17: Complex Cube Roots of 1

Lecture 18: Square Root of i

Lecture 19: 2D Coordinates

Chapter 6: Linear Algebra & Matrices

Lecture 1: Matrices

Lecture 2: Matrix Dimensions

Lecture 3: Matrix Addition

Lecture 4: Subtraction

Lecture 5: Scalar Multiplication

Lecture 6: Matrix Multiplication

Lecture 7: Examples

Lecture 8: Examples

Lecture 9: 3×3 Example

Lecture 10: Exercises

Lecture 11: More Multiplications

Lecture 12: When is Multiplication Possible?

Lecture 13: Example

Lecture 14: Not Commutative

Lecture 15: Associative & Distributive

Lecture 16: Dimension of Result

Lecture 17: Odd Shaped Matrices

Lecture 18: Examples

Lecture 19: Outer Product