Advanced Calculus 1: Complete Assigned Homework - Homework...

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Homework assignments:HW assignments(collected):HWI: 1.1: #5 (Use Example 1.1) and #16; 1.2: #4a (use suggestedproblems 1.1#15 and 1.2 #3, but don't turn in the proofs of these) (dueMon Jan 13). Note the typo on p.1: a square is missing in the very lastline, of the right-hand side.HWII: 2.1: #18, 2.2:#4, 2.3: #1 and #11 (use 2.3# 10 without turning ina proof of this problem) (due Wed Jan 22).HWIII: 2.4: #8, 3.1:#12,3.2:#1.HWIV: 3.3#4; 3.4#5,11(due Mon Feb 3).HWV: 3.5: #6,7 (due Mon Feb 10)HWVI: 3.7:#11;4.1:#13;4.2:#4 (due Mon Feb 17)HWVII: 4.3:#12,20,6.1:#1 (due Mon Feb 24) corrections made on 2/27:in 4.3#20 a minus is missing in the numerator when x is rational, andthe derivative is 1, not 0; in the sentence after (2) replace 'rational' by'irrational'; also a numerical mistake corrected in 6.1#1c in thecalculation of U(f,P)) .HWVIII: 6.1:#7 (note the small typos: a should be 0 and b should be 1;hint: x_i>(x_{i-1}+x_i)/2 for all subintervals of any partition of [0,1]),6.2:#12,13 (you can use the result of ex 11 without proof), 6.4:#1 (due
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