Applied Mathematics for DS, ML & Analytics
Complete 90-Lesson Mathematics Roadmap covering Algebra, Calculus, Linear Algebra, Probability, Statistics, Optimization, Business Math & Applied Analytics.
I. Foundations of Mathematics (15 Lessons)
1. Introduction to Mathematics
2. Number Systems
3. Fractions & Percentages
4. Exponents & Roots
5. Order of Operations
6. Basic Equations
7. Inequalities
8. Ratios & Proportions
9. Sequences & Patterns
10. Basic Geometry
11. Coordinate Plane Basics
12. Units & Measurements
13. Estimation & Approximation
14. Basic Word Problems
15. Foundations Review Set
II. Algebra & Functions (15 Lessons)
16. Introduction to Algebra
17. Linear Equations
18. Quadratic Equations
19. Polynomials
20. Graphing Basics
21. Functions & Mappings
22. Exponential Functions
23. Logarithmic Functions
24. Systems of Equations
25. Inequality Graphs
26. Absolute Value Functions
27. Piecewise Functions
28. Polynomial Graphs
29. Function Transformations
30. Algebra Review Set
III. Calculus Essentials (15 Lessons)
31. Introduction to Limits
32. Continuity
33. Derivatives Basics
34. Rules of Differentiation
35. Applications of Derivatives
36. Optimization Problems
37. Introduction to Integrals
38. Integration Techniques
39. Area Under Curves
40. Rates & Accumulation
41. Intro to Multivariable Calculus
42. Partial Derivatives
43. Gradients in ML
44. Optimization in AI
45. Calculus Review Set
IV. Linear Algebra (15 Lessons)
46. Introduction to Vectors
47. Vector Operations
48. Introduction to Matrices
49. Matrix Operations
50. Determinants
51. Inverse of Matrices
52. Vector Spaces
53. Basis & Dimension
54. Eigenvalues & Eigenvectors
55. Diagonalization
56. Projections
57. Orthogonality
58. SVD Basics
59. Linear Algebra in ML
60. Linear Algebra Review Set
V. Probability & Statistics Math (15 Lessons)
61. Introduction to Probability
62. Probability Rules
63. Combinatorics
64. Random Variables
65. Discrete Distributions
66. Continuous Distributions
67. Expected Value & Variance
68. Normal Distribution
69. Central Limit Theorem
70. Correlation Concepts
71. Sampling Methods
72. Hypothesis Testing Basics
73. Type I & Type II Errors
74. Probability in ML
75. Probability Review Set
VI. Business & Applied Mathematics (15 Lessons)
76. Business Math Basics
77. Interest & Growth Rates
78. Financial Mathematics
79. Discounting & Present Value
80. Forecasting Math
81. Optimization Methods
82. Profit & Break-Even Analysis
83. Decision Mathematics
84. Math in Business Analytics
85. Operations Research Basics
86. Linear Programming
87. Queuing Theory
88. Inventory Models
89. Business Statistics Math
90. Final Math Review & Exam Prep