Home assignments will be neither submitted, nor graded but... there will
be 7 quizzes of duration 15–20 min. from the assigned homework. Each consecutive quiz covers homework from the previous quiz up to and including the week preceding the week this quiz is administered.
You may discuss home assignments on forum.
Week  Sections  Topics  Home Assignment Problems  Notes 
1–2  1.1  The complex numbers and the complex plane  1–6, 13, 15  No quiz weeks 1–3 
1.1.1  A formal view of the complex numbers  3, 7–10  
1.2  Some geometry  1–18, 20–22,24, 23–27  Tutorial1 Week 2  
1.3  Subsets of the plane  1–10, 15, 18, 19  
3  1.4  Functions and limits  1–25, 30–41  Tutorial2 
1.5  Exponential and logarithmic functions  1–14, 16–18, 21, 22  
1.5  Trigonometric and inverse trigonometric functions  
4  1.5  Mappings with the exponential, logarithmic, and trigonometric functions  23—30  Tutorial3 
1.6  Line integrals, Green's theorem (real variables)  LN1.61  
1.6  Line integrals, Green's theorem (complex variables)  1 – 10, 17  20; LN1.62 
Quiz 1:Drawn from assignments for Week 12; during Tutorials 

5  2.1  Analytic functions CauchyRiemann equations  1, 2, 4, 6, 7, 8, 12, 14, 16, 18, 20, 22, 24, 26  Tutorial4 
2.1  Harmonic functions, conjugate harmonic functions 


2.1.1  Flows, fields, and analytic functions: optional) 
2, 4, 6, 8: optional:post solutions on forum for karmaafter I post problems 
Quiz 2:Drawn from assignments for Week 3; during Tutorials 

6  2.2  Power series expansions  119, 22, 23, 2527  Tutorial5 
*  
* 
Quiz 3:Drawn from assignments for Week 4; during Tutorials 

7  2.3  Cauchy's theorem and Cauchy's formula  1—20, 21(a)–(e)  Tutorial6 
*  
2.3.1  The CauchyGoursat Theorem (optional)  
8  2.4  Applications of Cauchy's formula  1—24  Tutorial7 
*  
*  Quiz 4:Drawn from assignments for Weeks 6 and 7; during Tutorials 

9  2.5  Isolated singularities  1— 27  Tutorial8 
*  Post on Forum solutions  Bonus: 28—31  
*  Quiz 5:Drawn from assignments for Week 8; during Tutorials  
Reading Week  
10  2.6  The residue theorem, evaluation of definite integrals  1— 23  Tutorial9 
*  Post on Forum solutions  Bonus: 24—26  
*  Post on Forum solutions  Bonus: 27—34 
Quiz 6:Drawn from assignments for Week 9; during Tutorials 

11  3.1  Zeros of analytic function  1–9, 12–19  Tutorial10 
3.2  Maximum modulus and mean value  1–12  
*  
12  3.3  Linear fractional transformations  1—8  Tutorial11 
*  
3.4 
Conformal mappings (if time permits) 
 
Quiz 7:Drawn from assignments for Weeks 1011; during Tutorials 

13  *  Review  Tutorial12 (TBA)  
*  Review  
Final Exam 