HW1: Section 2.1: 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,20,26.
HW2: Section 2.2: 1,2,4,5,6,7,8,9,11,12(a),(b)and(c).
HW3: Section 2.2: 14 and 15. Section 2.3: 1,2,4,5,6.
HW4(due Feb.1): Section 2.3: 8,9,10,14,15. Section 2.4: 4.
A gentle reminder: Wednesday, Feb. 1, Quiz 1, in class. Please see info in Course description.
HW5(due Feb.1): Section 2.4: 1,3,5,6,7,8,9,10,11,12,18.
HW6(due Feb.1): Section 2.5: 1,2,3,6,7,8,9,10.
HW7(due Feb.8): Section 3.1: 1,2,3,4,5,6,7.
HW8(due Feb.8): Section 3.1: 8,9,10,11,12,17.
HW9(due Feb.15): Section 3.2: 1,2,3,4,5,6,7,8,9,11,12.
HW10(due Feb.15): Section 3.2: 15(a),(c)and(d),16,21,22,23. Section 3.3: 8,9,10,12.
HW11(due Feb.15): Section 3.3: 1,2,3,4,5,6,7,11,1,13,16,17.
HW12(due Feb.22): Section 3.4: 1,2,3,4,5,6,7,8,9,11,12,13,14,15,16.
HW13(due Feb.22): Section 3.5: 1,2,3(a),4,5,6,7,8.
HW14(due Feb.22): Section 3.5: 9,10,11. Section 3.6: 2,3,4.
HW15(due Feb.29): Section 3.6: 1,5,6,7,8,9,10.
HW16(due Feb.29): Section 3.7: 3,4,5,7,8,9.
HW17(due March 7): Section 3.7: 10,11,12,13.
HW18(due March7): Section 4.1: 3,4,5,6,9,11,12,13,14.
HW19(due March 21): Section 4.2: PROVE the theorem stated in class referring to the compatibility between the Limits of Functions and the Algebraic structure of R (make use of the Sequential Criterion). PROVE part b) of the theorem called "Preserving the sign on a neighborhood." Also do the exercises: 1, 14, 2, 3 (multiply with the conjugate of the numerator), 4, 5 (attention, you have to give a PROOF), 8, 9, 10, 11 (use the Sequential Criterion, it is very efficient), 12 (5 extra points in the next quiz for each student who will solve correctly this exercise), 13 (use again the Sequential Criterion).
HW20(due March 21): Section 4.3: By similarity with the four equivalent definitions of the limit of f in the real point c being +infinity, write the four equivalent definitions of the limit of f in the real point c being -infinity. Also do the exercises: 2,3,5(a),(b),(c)and(e),11.
HW21(due March 28): Section 4.3: Read all the lecture notes corresponding to Section 4.3. By similarity with the 9 definitions of the limits in c=+infinity, write the 9 definitions of the limits in c=-infinity. Also do the exercises: 4,5(d),(f),(g),(h) (use sequences going to +infinity),7(use sequences going to +infinity),8(use sequences),12.
HW22(due March 28): Section 5.1: Do all homework listed at the end of Lecture notes 15. Also do the exercises: 3,4,5,7,8,10,11,12,13,15.
                                      Section 5.2: Prove c),d),e) and g) from the first theorem of Section 5.2.
HW23(due April 4): Section 5.2: Prove that the cosine function is continuous on R. Also do the exercises: 1,2,3,4,5,6,7,8,10,11,12,13,14.

MIDTERM 2: Wednesday, April 11, in class. Topics: 5.1, 5.2, 5.3, 5.4 and 5.6. Pay a special attention to the equivalent definitions of continuity, to Combinations of continuous functions, to the Boundedness theorem, to the Exteme Value Theorem , to Intermediate Value Theorem and its corollaries.

HW24(due April 4): Section 5.3: 1,2,3,4,11,12,13,14,15,16,17,18,19.
HW25(due April 11): Section 5.4: 1,2,3,4,5,6,7,8,9,10.
HW26(due April 11): Section 5.4: 11,12,14. Section 5.6: 1,2,3,4,5,6,7,12.
HW27(due April 18): Section 5.6: 8,9,10,11.
HW29(not due, but strongly recommended): Section 6.1: 1,2,3,4,5,6,7,8,9,10.
Optional extra-credit HW(due Monday, April 30, in maibox # 9, Math835):50 exercises, 3 points each, copies for each student in mailbox #9, Math835.
Review Session: Wednesday, May 2, 9.30-11.30am, regular room.