
Lecture Description
This final lecture introduces the variety of fields of mathematics available to study, and gives an idea of why they're important. Here you'll find out about:
• Linear Algebra
• Calculus
• Multivariable Calculus
• Vector Calculus
• Differential Equations
• Numerical Analysis
• Discrete Math
• Combinatorics
• Graph Theory
• Discrete Calculus
• Probability
• Statistics
• Stochastic Processes
• Game Theory
• Number Theory
• Abstract Algebra
• Real Analysis
• Complex Analysis
• Geometry
• Topology
Course Index
- Problem Solving 101
- Introduction to Proofs
- Propositional Logic
- Proof Techniques
- Set Theory
- Predicate Logic
- More Proof Techniques
- Relations
- Functions
- Number Theory
- Modular Arithmetic
- Infinity
- Construction of the Real Numbers
- Topology
- Sequences and Functions
- Group Theory
- Rings and Fields
- Morphisms
- Epilogue & Fields of Mathematics
Course Description
This is a friendly introduction to important concepts in higher mathematics, including analysis, set theory, proofs, group theory, rings, and graph theory.
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