Table of topics, assignments and other info

Textbook: Calculus, Early transcendentals, H. Anton & others, 10th edition. Info on what/where to buy.

Tutoring services (including online) and other useful info follow this link . There you will also find a link for the complete solution manual - requires username/password which I'll give in class. 

Exams: For tentative schedule see the syllabus. The structure of the exams will be roughly as follows: about 80% is at the level of  standard suggested problems and 20% at the level of more difficult suggested problems or theoretical topics (proofs that you will be asked to know). There is always a small bonus which may test your creativity and capacity to reason. In the suggested assignment below, the more challenging problems are denoted with a star. You should do enough of the suggested problems to be sure you understand the technique and/or idea behind them. If you have troubles with the suggested problems, particularly the standard ones, be sure to ask for help (my office hours, the tutoring services, colleagues, the LAs).

You may find useful the free version of the WolframAlpha computer software system . You can use this system at home to check your work, but it is essential that you are able to do computations on your own, not just rely on the software package. For your exams you will not be allowed any kind of electronic devices. 

You may also find useful the following videos delivered by Professor David Jerrison, MIT.

Date Topics covered Suggested Assignment Comments
Before
first class		   Review on your own:
-- all basic rules for computing derivatives;
-- computations of limits - OK to review just section 3.6 l'Hopital's Rule - pbs #7-39 odd;
-- (most important) basic anti-derivatives and integration by substitution -- sections 5.2, 5.3.
5.2. pbs # 1,11-25odd,33,43,45,53.
5.3. pbs # 1,3,5,15-59odd,71,76,77		 There will be a short background test on the first day of class.
Jan. 13 Background Test
9.1 Sequences
  
9.1 pbs #1-4all, 5-29odd, 31-34all, 39*, 42*, 43, 47* 
 Solve at home the background  test and submit, together with your class copy, by Tue Jan. 20.
Starred exercises are more challenging or more theoretical.
Jan. 15 Part of 5.4 Sums 5.4 pbs #1-21odd, 10, 57-61 all Proof of Theorem 5.4.2 (a) or (b) is a possible theoretical exam topic. 
See your notes or video of the lecture.
Jan. 20 9.2 Monotone seq 9.2 pbs #1-25odd, 27*,28*,31* (I took out 29, 30)
Worksheet week 2 is due for grading on Thursday Jan. 22.		 Last Day to drop the class with refund.
 Here is the solution key of the Background Test.
Jan. 22 9.3 Series, Def. + examples 9.3 #1-14all, 17-24all, 27-30all, 35-37all The geometric series thm (9.3.3. in the text) is a possible theoretical exam topic. 
So is the proof that the harmonic series diverges
Quiz 1 on Tuesday, Jan. 27, from 9.1,9.2,9.3 +(the sums part of 5.4)
(No starred exercises on quizzes)
Solution key of Worksheet week 2
Jan. 27 Rest of 5.4 -- Area
5.5 The Definite Integral
Quiz 1		 5.4 #21-23all,35,37,41, 43, 51-55odd
5.5 #9-29odd, 37, 41

Solution key of Quiz 1		 Extra office hours on Monday, Jan. 26: 11am-1pm,
but the office hour on Tuesday, Jan. 27 is cancelled.
Mauricio is also available Monday 2:15-4:15 outside DM 409A. For complete LA hours see my main page.
Jan. 29 5.6 FTC 5.6 #1-39odd, 45-51odd, 55-63odd, 69, 70, 72*
 Proofs of each part of FTC (Thm 5.6.3) are possible theoretical exam topics.
New office hours for rest of the semester (starting Feb. 2):
Mon 12:30-2:00pm, Fri 12:00-1:30pm
Feb. 3 5.7 Motion
5.8 Avg. of a function
5.9 Substitution		 5.7 #1, 4, 11, 14, 31-43 odd
5.8 #1-11odd, 15-28all 
5.9 #1-47odd, 54*, 63*, 65*
Worksheet week 4 -- due for grading Thursday, Feb. 5		 Possible exam theoretical topic: deriving equations (10), (11) in 5.7.2
Exam 1 on Tuesday, Feb. 10, covers sections 9.1-9.3, 5.4-5.10.
Searching my website, you'll find exams given in past semesters. Working on past exams
is helpful, but the ideal practice is to solve all of the suggested homework problems. Each such problem may be an exam question.
Feb. 5 5.10 New functions


Review for Exam 1		 5.10 #15, 17, 25, 28*, 29, 31, 39, 43
Solution key for Worksheet week 4

Chap. 5 Review Exercises: 11, 12, 19-21, 26-29, 30*,
31-41odd, 49-53odd,61-65all, 67-77odd, 80-88all, 90*		 There will be one "proof" question on Exam 1 selected from the following:
Thm. 5.4.4 parts (a) or (b) -- see text or notes; Thm. 9.3.3 (geometric series thm);
proof of divergence of harmonic series -- see text or notes;
proof of FTC (ii) (assuming MVT for integrals); proof of FTC (i) assuming part (ii); deriving equations (10), (11) in 5.7.2 (motion with constant acceleration) -- see text or notes
Feb. 10 6.1 More Area
6.2 Volume by slicing		 6.1 #1-9odd, 11-14all, 35, 36 (do after Exam 1)
6.2 #1-15odd,19,23,25,39-42all,49*,50*,60* - (do after Exam 1)		 Exam 1 is moved to Thursday, Feb. 12. No change in topics. Bring photo ID.
Feb. 12 Exam 1 Here is the solution key of Exam1. Office hours for Monday, Feb. 16 are cancelled.
I'll have office hours instead on Wed. Feb. 18, 11:00am-1:00pm
Feb. 17 6.3 Volume - shells
 6.3 #1-4all, 5-15odd, 27-29all, 34*
Worksheet week 6 - due for grading Thursday, Feb. 19		  
Feb. 19 6.4 Arc length
 6.4 #3-5all, 27-31odd
 If I got you interested in hyperbolic trig. functions, you may read more about them in Section 6.10.
This section will not be covered on any exams. The exercise I wrote at the end of the lecture is Pb#70 in 6.10 and this is a good exercise for arclength.
Feb. 24 6.5 Surface area
6.6 Work		 6.5 #1-7odd, 23, 26*, 27*, 33, 36, 37
6.6 #7-9all, 14-19all, 21, 22, 24, 25		  
Feb. 26 7.1 More subs 
7.2 IBP		 7.1 #1-15odd, 24, 25, 28, 29
7.2 #1-29odd, 55, 57, 60*, 61a, 62b, 63*, 64*, 68*
Worksheet week 7 - due for grading Tuesday, March 3		  
Mar. 3 7.3 Trig. integrals
7.4 Trig. subs		 7.3 #1-11odd, 17, 25, 29, 33, 39, 40, 68*, 70*
7.4 #1-29 odd, 31-35 all, 37, 39		 Exam 2 on Thursday, Mar. 19, covers sections 6.1-6.6, 7.1-7.5, 7.7.
 There will be one "proof" question on the exam selected from the following:
Deriving the volume of a cone or pyramid using the slicing method (see your notes);
Deriving formula (6) in section 6.6 (the work-energy relationship);
Deriving IBP formula ; 
Mar.  5 7.5 Partial fractions
7.7 Numerical int.
 7.5 #1-8 all, 9-33 odd, 49, 50
7.7 #1, 7, 25, 31, 41, 43
Homework -- due for grading Tuesday, March 17		 Searching my website, you'll find exams  given in past semesters.
Working on past exams is helpful, but the ideal practice is to solve all of
the suggested homework problems. Each such problem may be an exam question.
Mar. 10 Spring Break Have a nice Spring Break! Chap. 6 Review Exercises: # 6-11all,14,15,19,20
Chap. 7 Review Exercises: # 1-5odd,9-12all,15,16,21-29odd,30,32,54,56,59
(41, 42 - in each case find expressions for L_4, R_4, T_4, M_4, S_8)
Mar. 12 Spring Break    
Mar. 17 7.8 Improper Int

Review for Exam 2		 7.8 #1, 2, 3-39 odd, 45-51 odd, 52-55all, 64 (do after exam 2)
 Office hours: Wednesday, March 18, 10:00am-12:00noon.
Office hours for Friday, March 20 are cancelled.
Mar. 19 Exam 2
Solution key Exam2		 Your score on Exam 2 (the column before the last one) and your overall percentage so far (last column) Note that drop-deadline is Monday, March 23.
Office hours for Monday, March 23, 2:30-4:00pm (note the different time).
Mar. 24 10.2 Polar coords.
 10.2 #3, 6, 9, 11, 17-49 odd   
Mar. 26 10.3 Area in polar coords 10.3 #25, 29-39 odd
Worksheet week 10 - due for grading Tuesday, March 31		 Office Hours for Friday, Mar. 27 are cancelled.
Instead, I have office hours Monday, March 30, 11:00am-2:00pm.
Mar. 31 9.3 Series
9.4 Div. test, Int. test, p-series		 9.3 #1-14all, 17-24all, 27-30all, 35-37all

9.4 #1-8all, 9-25odd		 Solution key for Worksheet 10
Apr. 2 9.5 Comp. & ratio tests
 9.5 #1-4all, 5-15odd, 22, 23,25-49odd, 51*,54*
Worksheet week 11 -- due for grading Tuesday, April 7		 Don't fall behind with series; try to do all sugested problems from 9.5 this weekend,
besides the worksheet on the left.
No office hours on Friday, Apr. 3.
Instead, I have office hours Monday, April 6, 11:00am-2:00pm.
Apr. 7 9.6 Alt. series; Abs. & cond. conv.
 9.6 #1-27 odd, 31,32*, 37, 39, 43, 48*,51*,52* Solution key for Worksheet 11
Apr. 9 9.7 Taylor polys
9.8 Taylor series,
power series, interval of conv.		 9.7 #7-12all, 17, 21, 23
9.8 #1-6all, 11-27odd,  29-47 odd
Worksheet week 12 -- due for grading Thursday, April 16		 There is a worksheet that I want you to complete at home for a grade
(see link on left). Study well the material in these sections and
do the suggested problems.
Solution key for Worksheet 12
Apr. 14 9.9 Remainder estimate 
9.10 Operations with Taylor series		 9.9 #1, 3, 5, 9, 10 (do after exam 3)
9.10 #1, 2, 5, 6, 27, 28, 36*, 37, 40		 Exam 3 on Tuesday, April 21, covers sections 7.8, 10.2, 10.3, 9.3, 9.4, 9.5, 9.6,
9.7, 9.8, 9.10. Section 9.9 is not covered on Exam 3, but will be covered on the final exam.
Apr. 16 Review for Exam 3 From Chap. 9 Review, these are good problems:
1-5all, 9, 10, 15-23all, 25, 26, 28, 29, 33,34		 Possible theoretical topics on Exam 3 (you need to know the proofs of these): 
The area formula in polar coordinates (in the text, 10.3.4 formula (6),
 with the argument above); Theorem 9.4.1 (k-th term div. test); 
Theorem 9.4.4 (integral test); Theorem 9.4.5 (p-series test from the integral test);
Theorem 9.5.1 (simple comp. test).
Apr. 21 Exam 3 Solution key for Exam 3  
Apr. 23 Review for final The final exam is comprehensive. Expect about 1/3 or maybe a bit more
of the final to be from series. The rest will be on integration and its applications. One problem will be from section 9.9 (remainder estimate).
Review the three exams and the worksheets. 
If you have time to review section by section (this would be best), 
try to understand what are the central ideas in each section and do a couple of problems from each.		 Possible theoretical topics for final: 
FTC part (b) (assuming MVT for integrals);
FTC part (a) (assuming part (b));
 proof of IBP; 
The area formula in polar coordinates (in the text, 10.3.4 formula (6),
 with the argument above); 
Theorem 9.3.3 (Geom. series thm.);
Theorem 9.4.1 (k-th term div. test);
Apr. 28 Final Exam
12:00-2:00pm regular room		 Solution key for the final  
    In this table you'll find your score on the final exam (out of 150pts) and your grade for the class. I used the first 5digits of you PantherID.

Have a good Summer!