Course Description
Clifford algebras, spinors, elementary geometric algebra, Dirac differential operators, monogenic (Clifford analytic) functions, Taylor and Laurent series for monogenic functions, CK extensions of real analytic functions, Cauchy integrals, generalized exponential functions and Hardy spaces, singular Cauchy integrals and Plemelj formulas.
Intended Learning Outcomes
CILO-1: Apply concepts and basic properties of Clifford algebras, spinors, elementary geometric algebra to solve problems.
CILO-2: Analyze the Dirac differential operators, monogenic functions, Taylor and Laurent series for monogenic functions.
CILO-3: Construct proofs of the CK extensions of real analytic functions, Cauchy integrals, generalized exponential functions and Hardy spaces, singular Cauchy integrals and Plemelj formulas.