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.

Undergraduate Mathematics/Cover
Undergraduate Mathematics/Introduction

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)
Undergraduate Mathematics/Index