MTB Quant Library
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Calculus
Calculus
Limits, derivatives, integrals, multivariable calculus, and optimization for financial modeling.
20
chapters
Beginner
01
Limits and Continuity
Rigorous
→
02
Derivatives — Definition and Rules
Hard
→
03
Chain Rule, Implicit Differentiation
Medium
→
04
Applications of Derivatives — Core
Medium
→
05
Applications of Derivatives — Optimization
Medium
→
06
Integrals — Definition and FTC
Medium
→
07
Techniques of Integration
Medium
→
08
Improper Integrals
Medium
→
Intermediate
09
Sequences and Series
Medium
→
10
Power Series and Taylor Series
Medium
→
11
Taylor Series Advanced
Rigorous
→
12
Convergence Tests
Medium
→
13
Parametric Equations and Polar Coordinates
Medium
→
14
Vectors in 2D/3D
Medium
→
15
Partial Derivatives
Hard
→
16
Multiple Integrals
Hard
→
17
Vector Calculus — Gradient, Divergence, Curl
Hard
→
Advanced
18
Differential Equations — First Order
Medium
→
19
Differential Equations — Second Order and Systems
Hard
→
20
Taylor Expansions and Approximation in Applied Contexts
Medium
→
