Chapter 1: Complex Numbers
 
1.1 Complex Arithmetic
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1.2 The Complex Plane
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1.3 Complex Conjugate
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1.4 The Complex Variable, z
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1.5 Operations in the Complex Plane
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1.6 Special Sets
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1.7 Hyperbolic Functions
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Chapter 2: Complex Functions
 
2.1 Complex Functions
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2.2 Complex Logarithms
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2.3 Complex Trigonometric Functions
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2.4 Complex Mappings
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Chapter 3: Analytic Functions
 
3.1 Complex Limits
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3.2 Complex Derivatives
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3.3 Cauchy-Riemann Equations
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3.4 Analytic Functions
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3.5 Harmonic Functions
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Chapter 4: Sequences and Series
 
4.1 Complex Sequences
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4.2 Complex Series
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4.3 Power Series
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4.4 Taylor Series
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4.5 Laurent Series
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Chapter 5: Complex Integrals
 
5.1 Contour Integrals
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5.2 Cauchy’s Theorem
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5.3 Residue Theorem
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Overall
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https://ximera.osu.edu/certificate/H4sIAAAAAAACA4WMPQ%2FCIBRF%2FwphbguForabOhh3dTAulKISCxg%2BYo3xvwtxcfMt9%2BXm3POChmsJO7iJ0gew99LBAsYcHZyUlo5X1sdKDhHl1qPZgvT1uaVzRgRrBMW8b9qBiTQbeMgqggkrMSvrdleTDrcdYxWh9JgIYaPzmUGahysSVt9HOa2svf3%2BCQwqjJlbf1tw4E7xfpS%2BAP0TLM3g5ONkwL9LyNYIezEq2GT1wrpkxe8PuG0QPPcAAAA%3D/BhQkasdH3MsA1dbML9dWZ9VrYEwVZNctLsUMfyUk9R9Yj6gwcc32oa%2BEXRDTCrizJro9gsFal2%2BAgpUhnQjDtFPrBDUEDTZ5gUoeszUQC18LJuAcf7sZKb0fNMfaam%2BP6DoBklYp3sAfuwrgmz3DdVIDMG8W0uG7jcUxzwoUToT986dBOJwFKIlY3cdd07F%2FXYcW3DnK5kk9WjFx9oi9eDqfmUbVJlo39L2xubrXGOYtW1kXc9ahw7unBRL8cXVRXJHf4NWClA5Hme8QVKhfaA6AVqQ%2Fi8YhC1gE0Pye9Z8XtK1FsxVmu40w%2Bcay3aQBQZCH1riHgpquVyZSo%2Bv5jQ%3D%3D