Week 1

1. Introduction

2. Number System

3. Brief Introduction to Complex Numbers

4. Introduction to Mathematical Functions

5. Algebra of Functions

6. Function composition

7. Use cases of some common functions

8. Cartesian Coordinates

9. Transformation of space using Polar Coordinates

10. Linear Interpolation & Smooth Step

11. Group Practice Session 

Week 3

1. Introduction to Quaternions

1. Euler Angles Vs Quaternions

2. Quaternions and Complex Numbers

3. 3D Rotation using Quaternions

4. Euler Angles to Quaternions

5. Quaternions to Euler Angles

6. Quaternion to Rotation Matrix

7. Quaternion Interpolation

8. Other useful Quaternion Functions 

9. Group Practice Session 

Week 2

1. Introduction to Vectors

2. Point Vs Direction

3. Magnitude & Direction of Vectors

4. Resolution of Vector

5. Algebra of Vectors

6. Dot Product

7. Cross Product

8. Vector Fields

9. Divergence & Curl

10. Gradient Vectors

11. Group Practice Session 

Week 4

1. Introduction to Matrices

2. Matrix Multiplication

3. Unpacking the Matrix

4. Basis Vectors

5. Cylindrical & Spherical Coordinate Systems

6. Transformation using Matrices

7. Quaternions and Matrices

8. Matrix Interpolation

9. Use cases of Matrices in Computer Graphics

10. Recap