|
Week 1 | |
| Mon (Jan 5) |
Ch 13: Introduction.
|
| Homework |
|
| Wed (Jan 7) |
Ch 13: Upper and lower sums. Upper and lower integrals.
|
| Homework |
Ex 13.1: 4, 7(ii), 7(iii)($), 13 ($), 14($), 16, 20($), 23($), 31 ($)
|
| Fri (Jan 9) |
Ch 13: Definition of the integral of a bounded function. (Note that I have decreased the number of
homeworks for this week because we have not covered as much as I thought. But those problems are now assined
after next mondays class, so they will be due the following week on Wednesday, Jan 21. )
|
| Homework |
Ex: No more for this week.
|
|
Week 2 | |
| Mon (Jan 12) |
Ch 13: Continuation, basic properties of integral.
|
| Homework |
Ex 13: 6, 19, 22, 26, 27($), 29, 32($), 34, 37($), 39($), 40($).
|
| Wed (Jan 14) |
Ch 13: Containuation. Basic properties of integral.
|
| Homework |
|
| Fri (Jan 16) |
Ch 14: The fundamental theorem of integral calculus.
|
| Homework |
Ex 14 (p. 296-302): 1(i)($), 1(iv), 3(i)($), 8($), 9, 19.
|
|
Week 3 | |
| Mon (Jan 19) |
M.L.L Jr. Day
|
| Homework |
Ex
|
| Wed (Jan 21) |
Cauchy Schwarz inequality.
|
| Homework |
Ex
|
| Fri (Jan 23) |
Ch 14:Second fundamental theorem. Applications.
|
| Homework |
Ex 14 (p. 296-302): 1(vi), 1(viii)($), 2(v)($), 3(ii), 4(ii)($), 7(i)($)< 9, 10($), 12($), 21($), 24.
|
|
Week 4 | |
| Mon (Jan 26) |
Ch 14: More on the fundamental theorem.
|
| Homework |
Ex
|
| Wed (Jan 28) |
No Class.
|
| Homework |
Ex
|
| Fri (Jan 30) |
Midterm 1
|
| Homework |
Ex : No HW this week.
|
|
Week 5 | |
| Mon (Feb 2) |
Ch 13 Appendix Appendix on Riemann Sums.
|
| Homework |
Ex
|
| Wed (Feb 4) |
Ch 19: Integration in elementary terms. Primitive. Substitution rule.
|
| Homework |
Ex 19 (p. 381-401): 1(i), 1(ii)($), 2(i), 2(iv) ($), 5(ii) ($),
|
| Fri (Feb 6) |
Ch 15: Trigonometric functions.
|
| Homework |
Ex 15 (p. 315-323): 1(iv) ($), 2 (ii) ($), 2 (iv), 2 (vi) ($), 3($), 4a, 4b($), 4e, 4f($),
|
|
Week 6 | |
| Mon (Feb 9) |
Ch 15:Trigonometric functions.
|
| Homework |
Ex 15 (p. 315-323): 6, 7($), 8($), 9, 11, 12, 14, 15, 16, 20($), 21($), 24($), 26, 30, 31
|
| Wed (Feb 11) |
Ch 18:Logarithm and exponential functions.
|
| Homework |
This week's problems are due next Friday. To do some of the problems in Ex. 18, you may need
to wait till Monday's class unless you read ahead a bit.
Ex 18 (p. 351-362): 1(iv) 1(v), 1(ix), 1(x)($), 2a, 2b(iii)($), 4b($), 5(i)($),
5(iv), 6(i), 6(ii)($), 7, 8(a)-8(c)($), 9, 10($), 11($), 13(b), 13(c)($), 17($),
24, 25, 37($), 43.
Ex 19 (p. 381-401): 3 (iv)($), 3(vi), 3(ix), 3(x), 8(i)($), 8(iii), 8(v), 8(vii),
9(i), 9(ii)($), 9(v)($), 9(vi)($), 9(vii), 9(ix).
|
| Fri (Feb 13) |
No Class. .
|
| Homework |
|
|
Week 7 | |
| Mon (Feb 16) |
Ch 18: More on Logarithm an exponential functions.
|
| Homework |
Ex 18 (p. 351-362): 22, 23, 26 ($), 27, 28 ($), 31(a)($), 38($), 43, 44, 45(a) ($)
|
| Wed (Feb 18) |
Chapter 18-19 Finding primitives and some other exercises.
|
| Homework |
|
| Fri (Feb 20) |
Ch 19: Finding primitives. Reduction formulae. Rational functions.
|
| Homework |
Ex 19 (p. 381-401): 2(ix)($), 4(ii), 4(iii)($), 4 (iv), 4(v) ($), 4 (vii)($), 5 (iii), 6(v) ($), 6 (viii),
8 (vii)($), 8 (ix), 10(i) ($), 22 ($)
|
|
Week 8 | |
| Mon (Feb 23) |
Ch. 14 Improper integrals. More exercises.
|
| Homework |
|
| Wed (Feb 25) |
More on improper integrals. Some more exercises.
|
| Homework |
Ex 14(p. 296-302): 26(ii), 26(iii)($), 27a($), 27c($), 29($)
Ex 19(p. 381-401): 15($), 21($), 26, 38($), 39, 41.
|
| Fri (Feb 27) |
Midterm 2.
|
| Homework |
|
|
Week 9 | |
| Mon (Feb 2) |
Ch 20:Approximation of functions by polynomials.
|
| Homework |
Ex
|
| Wed (Feb 4) |
Ch 20:Taylor series.
|
| Homework |
Ex
|
| Fri (Feb 6) |
Ch 20:Expression for the error term in Taylor series .
|
| Homework |
Ex 20: 1(v)($), 1(vii)($), 1(x),2(iii)($), 7, 8($), 11(a), 11(c)($), 12, 13($), 15, 16($), 19, 21, 22($),
23($).
|
|
Week 10 | |
| Mon () |
|
| Homework |
Ex
|
| Wed ( ) |
Sec
|
| Homework |
Ex
|
| Fri ( ) |
Sec
|
| Homework |
Ex
|