Wikibooks:Collections/Undergraduate Mathematics
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Undergraduate Mathematics
[edit source]DISCLAIMER
[edit source]Please note the very early stage this book is at and don't rely on any of its contents. Refer instead to other wikibooks in the University Level Mathematics book series.
First Year Courses
[edit source]- Undergraduate Mathematics/The Meaning of Truth in Mathematics
- Undergraduate Mathematics/Proof by contradiction
- Undergraduate Mathematics/Proof by exhaustion
- Undergraduate Mathematics/Taking the Contrapositive
- Undergraduate Mathematics/Mathematical induction
- Undergraduate Mathematics/Proof by infinite descent
- Undergraduate Mathematics/Introduction to Newtonian Mechanics
- Undergraduate Mathematics/Free body diagram
- Undergraduate Mathematics/Projectile motion
- Undergraduate Mathematics/Unusual Applications in Projectile Motion
- Undergraduate Mathematics/Introduction to Statistics
- Undergraduate Mathematics/Multivariate Calculus
- Undergraduate Mathematics/Partial derivative
- Undergraduate Mathematics/Integration With Respect to One Variable
- Undergraduate Mathematics/Path Integrals
- Undergraduate Mathematics/Surface Integrals
- Undergraduate Mathematics/Introduction to Linear Algebra
- Undergraduate Mathematics/Solving Linear Systems
- Undergraduate Mathematics/Introduction to the Matrix
- Undergraduate Mathematics/Gauss Jordan Elimination
- Undergraduate Mathematics/Reduced Row Echelon Form
- Undergraduate Mathematics/Rank, Nullity and the Rank-Nullity Theorem
- Undergraduate Mathematics/Vector Spaces
- Undergraduate Mathematics/Bases and Dimension
- Undergraduate Mathematics/Introduction to Mathematical Programming
- Undergraduate Mathematics/The Algorithm
- Undergraduate Mathematics/Pick a Language
- Undergraduate Mathematics/Automating Processes We've Already Met
- Undergraduate Mathematics/Iterative Processes and Chaos
- Undergraduate Mathematics/Real Analysis (20 Credits)
- Undergraduate Mathematics/Intuition and Continuity
- Undergraduate Mathematics/Sequence
- Undergraduate Mathematics/Squeeze theorem
- Undergraduate Mathematics/Limit of a sequence
- Undergraduate Mathematics/Continuous function
- Undergraduate Mathematics/Intermediate value theorem
- Undergraduate Mathematics/Differentiability
- Undergraduate Mathematics/The Mean Value Theorem
- Undergraduate Mathematics/Rolle's Theorem
- Undergraduate Mathematics/Proving the Rules of Differentiability
- Undergraduate Mathematics/Integrability
- Undergraduate Mathematics/Fundamental theorem of calculus
- Undergraduate Mathematics/The History of Mathematics
Second Year Courses
[edit source]- Undergraduate Mathematics/Introduction to the Theory of Groups
- Undergraduate Mathematics/Definition of a Group
- Undergraduate Mathematics/Connections between Groups and Symmetry
- Undergraduate Mathematics/Group homomorphism
- Undergraduate Mathematics/Group Isomorphism
- Undergraduate Mathematics/First Isomorphism Theorem
- Undergraduate Mathematics/Non-Euclidean Geometry
- Undergraduate Mathematics/Ordinary Differential Equations
- Undergraduate Mathematics/Discrete Mathematics
- Undergraduate Mathematics/Graph Theory or the Theory of Networks
- Undergraduate Mathematics/Point-Set Topology
- Undergraduate Mathematics/Metric space
- Undergraduate Mathematics/Definition of a Topological Space
- Undergraduate Mathematics/Open set
- Undergraduate Mathematics/Homeomorphism
- Undergraduate Mathematics/Connectedness
- Undergraduate Mathematics/Compact space
- Undergraduate Mathematics/Banach and Hilbert Spaces
- Undergraduate Mathematics/Number Theory
- Undergraduate Mathematics/gcd and lcm
- Undergraduate Mathematics/Euclidean Division Algorithm
- Undergraduate Mathematics/Mathematical Biology
- Undergraduate Mathematics/Mathematical Physics
Third and Fourth Year Courses
[edit source]- Undergraduate Mathematics/The Group Theory of the Symmetries of Simple Shapes
- Undergraduate Mathematics/Cyclic group
- Undergraduate Mathematics/Dyhedral group
- Undergraduate Mathematics/Cosets and Quotient Groups
- Undergraduate Mathematics/Sylow theorems
- Undergraduate Mathematics/Abelian group
- Undergraduate Mathematics/Burnside's lemma
- Undergraduate Mathematics/Advanced Statistics
- Undergraduate Mathematics/Complex Analysis
- Undergraduate Mathematics/Line integral
- Undergraduate Mathematics/Green's theorem
- Undergraduate Mathematics/Stokes' theorem
- Undergraduate Mathematics/Algebraic Topology
- Undergraduate Mathematics/Paths and Deformation Retraction
- Undergraduate Mathematics/Homotopy
- Undergraduate Mathematics/The Fundamental Group
- Undergraduate Mathematics/Simplicial Complexes
- Undergraduate Mathematics/Chain Complex
- Undergraduate Mathematics/Homology Groups
- Undergraduate Mathematics/Representation Theory
- Undergraduate Mathematics/Cryptography
- Undergraduate Mathematics/Caesar Shift
- Undergraduate Mathematics/Substitution Ciphers
- Undergraduate Mathematics/Frequency Analysis
- Undergraduate Mathematics/RSA (cryptosystem)