Table of topics and assignments - Calculus I - Spring 2014

You may buy the textbook, Calculus, by H. Anton and others, Early Transcendentals, 10th edition, directly from the publisher following this link. Since it is only $5 more, I would advise you to get the complete version of the text, (Chapters 1-15) which includes the multivariable part done in Calculus III. The WileyPLUS is an online homework system that you may find useful, but I will not require it this semester.

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

Learning Assistants: Agnes Arrinda [aarri020"at"fiu.edu] and  Brandon Mori [bmori006"at"fiu.edu]  -- They will help you in class during the problem solving hour and they will also offer help time outside class.

Office hours for LAs:  Brandon - Mondays 4:00-6:00pm (outside or inside DM 409A);   Agnes - Fridays 10:00am-12:00noon (outside or inside DM 409A)

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 10% 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. 

Video-lectures of Prof. Richard Delaware, Univ. of Missouri. You may be asked to follow (and take notes with paper and pencil) these lectures before we cover the corresponding sections. Try to do so.

 

Date Topics covered Suggested Assignment Comments
Jan. 7 Prerequisite Test
Chapter 0 - Review		 0.1 - 1-17odd, 19-22all, 27, 29, 31
0.2 - 1-11odd, 31-37odd, 51, 53, 59, 67, 68
0.3 - 1, 2, 9, 31, 33		 Here is a list of prerequisite topics for Calculus.
This algebra review may also be useful.
Chapter 0 is covered in the first 3 lectures of Prof. Delaware. Please watch them (see link above).
Jan. 8 Pb. session 1
 Here is a blank copy of the Prerequisite Test  
Jan. 9 Chapter 0 - Review 0.4 - 1, 10-14all, 17-19all, 22, 35-41odd, 25*, 26*, 29*
0.5 - 1, 5, 9, 11-29odd, 32, 42*, 48, 55, 56		  
Jan. 14 1.1 Limits (intuitive)
1.2 Limits computations		 1-9odd, 17-20all, 23-29odd
1-31odd, 33-36all, 37, 39, 40, 43*		 As preparation for this week, watch lectures 04 and 05-06 of Prof. Delaware.
Jan. 15 Pb. session 2 Worksheet 2  
Jan. 16 1.3 Limits at infinity
1.6 Trig. limits (part of it)		 1-5odd, 9-31odd, 50*, 52*
23-35odd, 30, 32, 46*, 51*, 52*		 Quiz 1 on Wednesday, Jan. 22, covers sections 1.2, 1.3, 1.6.
Jan. 21 1.4 Rigorous limit definition 1, 3, 19, 20, 21, 23, 29*, 31*, 33*   
Jan. 22 Pb. session 3
Quiz 1		    
Jan. 23 More on 1.4 see the problems above, plus these problems As preparation for next week, please watch lectures 07, 08 (new version) 
09, 10 of Prof. Delaware
Jan. 28 1.5 Continuity and IVT
rest of 1.6		 1-5 all, 7-31 odd, 33-35 all, 44*, 47, 48*, 56*
1-11 odd, 17-29 odd, 30,32,40,43,46*,49,50,51*,52*,67 (a,b),68(a,b)		 For 1.6 some of the suggested pbs. were already listed on Jan. 16.
Jan. 29 Pb. session 4 Worksheet 4  
Jan. 30 2.1 Tang. lines, IROC
2.2 The derivative function		 1-8all, 11-19odd, 23-27odd
1-17odd, 23, 25, 26, 27-30all, 33, 41, 42, 47*, 49*		 Exam 1 on Thursday, Feb. 6. Please note the different date compared to syllabus.
It covers Chapter 0, Chapter 1 and sections 2.1, 2.2.
Feb. 4 2.3 Basic derivative rules
 1-23odd, 29-39odd, 51*, 53*, 55*, 57*, 70*, 73* (do these after Exam 1)
  
Feb. 5 Pb. session 5 Review for Exam 1
From Chap. 1 Review Exercises: 1, 5-18all, 25, 28, 29*, 31, 32, 35*, 36*, 37		 Searching my website -- see the previously taught courses link on my main page --
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. 6 Exam 1 Solution key of Exam 1 Please try to arrive early. I will start the exam at 12:15.
I cannot give you extra time at the end of the class.
Feb. 11 2.4 Product & quotient rule
2.5 Deriv. trig. functions		 1-17odd, 25-33odd, 35*, 36*, 37, 38*, 39-41all (do these after Exam 1)
1-15odd, 21, 25,27a), 31, 32, 35-37all, 39, 44*		 Lectures 11, 12 of Prof. Delaware cover sections 2.3-2.6. You should watch them.
Feb. 12 Pb. session 6 Worksheet 6 Quiz 2 on Tuesday, Feb. 18, covers sections 2.3-2.6
Feb. 13 2.6 Chain Rule 1-21odd,27-33odd,43,46,61,63,64,67,80*,83*  
Feb. 18 3.2 Deriv. logs
3.3 Deriv. exp.
Quiz 2		 1-27 odd, 31, 35-41odd, 45*, 47*
15-41 odd, 71-74, 77*, 78*, 79*
  
Feb. 19 Pb. session 7 Worksheet 7  
Feb. 20 3.3 Deriv. inv. trig.
3.1 Implicit Diff.		 43-53 odd, 65, 7*, 9*, 10* (for 7,9,10 also show the function is 1-1)
1-13odd, 19, 25, 27, 29*, 33*		  
Feb. 25 3.4 Rel. Rates
3.5 Loc. lin. approx		 5,7,8,12,13,17-20all,24,29,32,45*
1-9odd,23,27,29,34,51,55,63,67		 Exam 2 on Tuesday, Mar. 4. It covers all sections from 2.3 to 3.5 (including 3.5)
Feb. 26 Pb. session 8


 Worksheet 8
Review for Exam 2
Chap. 2 Review: 15-20all, 25*,26*,27*,28-32all, 33,35*
Chap. 3 Review: 3-5all,7,10,12, 15-35odd, 32,40,45*,49		 Searching my website -- see the previously taught courses link on my main page --
you'll find past exams. These are helpful, but the ideal practice is
to solve all of the suggested homework problems. Each such problem may be an exam question.
Feb. 27 3.6 l'Hopital's rule
Exam 2 review		 1, 3, 4, 7-43odd, 57, 58 (do these after Exam 2)
 Extra office hours (in DM 432B): 
Monday, Mar. 3, 11-12noon, 1-2:30pm
Mar. 4 Exam 2 Solution key to exam 2 Reminder of LAs hours (outside DM 409A)
Agnes -- Fridays 10am-12noon
Brandon -- Mondays 4-6pm
Mar. 5 Pb. session 9 Spring break homework The homework on the left is due Wed. Mar.19
Mar. 6 More on 3.6 1, 3, 4, 7-43odd, 57, 58 To be ready for the material after Spring break,
I suggest you watch lectures 16, 17, 18 of Prof. Delaware
(the link above this table and also here )
Mar. 11 Spring Break   Have a good Spring Break!
Mar. 12 Spring Break Here is your overall percentage so far.
I dropped the lowest of the 6 quizzes/worksheets.
Recorded are the first 5 digits of your PID.		 If you overall percentage is below or around the 65% passing line,
you need to make a decision about staying in the
class before the dropping date of Monday, March 17.
Mar. 13 Spring Break    
Mar. 18 4.8 Mean Value Thm.
4.1 Graphing 1
 1-7odd, 15, 16, 19, 21, 27*, 29*, 30*, 31*, 35*, 36* 
1-7,11-14all,15-27odd,39,40,57*,63-66
  
Mar. 19 Pb. session 10 Worksheet 10  
Mar. 20 4.2 Graphing 2
4.3 Graphing 3
 1-3all,7,9,15,16,19,21,24,25,37-47odd,51-59odd
1-5odd,9,11,19,31-35odd,39,45-55odd		  
Mar. 25 4.4 Absolute max/min 1-6, 7-13odd, 17-20all, 21-27odd  
Mar. 26 Pb. session 11 Worksheet 11 Worksheet 11 is a homework due Tue. April 1
Mar. 27 4.5 Optimization 1-27odd,43,50,51*,57*  
Apr. 1 5.2 Antiderivatives
5.7 Motion		 1,11-25odd,33,43,45,53
5-11odd, 33-41odd, 42		  
Apr. 2 Pb. session 12 Worksheet 12  
Apr. 3 5.3 Substitution method 1,3,5,15-59odd,71,76,77* Quiz on Tuesday April 8 from 5.2 and 5.3
Apr. 8 10.1 Param. curves
Quiz (5.2, 5.3)		 3, 5, 9, 23, 41, 45, 49, 61, 62 (do these after Exam 3)
 Exam 3 on Tuesday April 15 covers sections 3.6, 4.1-4.5, 4.8,
5.2, 5.3, 5.7. Section 10.1 is not covered on Exam 3, but will be covered on the final
Apr. 9 Pb. session 13 Worksheet 13 Extra office hours for Exam 3:
Friday 12:00-2:00pm, Monday 11-12noon, 1-2:30pm
Apr. 10 Review for Exam 3   Searching my website -- see the previously taught courses link on my main page --
you'll find past exams. These are helpful, but the ideal practice is
to solve all of the suggested homework problems. Each such problem may be an exam question.
Apr. 15 Exam 3 Solution Key for Exam 3  
Apr. 16 Review for Final Concepts you should know and understand well for final: 
two-sided vs. one sided limits; link between limits at infinity and horizontal asymptotes; indeterminate forms for limits; the epsilon-delta definition of limit;
definition of continuity; statement of Intermediate Value Theorem IVT; 
the limit definition of the derivative; geometric and physical interpretations of derivative;
tangent lines to graphs and the link with local lin. approximation;
the link between the shape of a graph and the sign of the first and second derivative;
definition of critical points and their types, definition of inflection points;
statement of MVT; relation between position, velocity, acceleration in rectilinear motion;
definition of anti-derivative.
 The final exam is comprehensive. Everything that we covered could be on the final. 
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. 
One problem will be from 10.1 (param. curves) and one from 3.5 (loc. lin. approx.), as these sections were not tested.
No epsilon-delta proofs on final
Definitions and statements of important theorems (see on the left) may be exam questions.
Apr. 17 Review for Final Techniques you should master for final: computation of limits (with or without l'Hopital); computing derivatives with all the rules involved (including knowing to find some basic derivative formula using the definition or previous formulas, 
knowing formulas for derivative of inverse trig. functions and how to derive them, knowing when and how to apply logarithmic differentiation); implicit differentiation; graphing basic parametric curves and finding their tangent lines (section 10.1);
related rates pbs; finding the local linear approximation near a given point;
graphing function with all that is involved; finding absolute max/min;
optimization problems; rectilinear motion problems;
computing anti-derivatives using basic formulas and the method of substitution.
Here is last semester final exam for your practice.
However, note that your final may be quite different, so solving only the problems on the old exam is not enough practice.		 Office hours for the final:
Friday, April 18, 3-5pm, Monday, Apr. 21, 9:30am-2:30pm
Apr. 22 Final Exam 12:00-2:00pm, regular room
 Solution key for final		  
    These are your scores and grades.
1st column - first 5 digits of your Panther ID
2nd column - score on the Final Exam (out of 150 pts)
3rd column - total on quizzes&worksheets (out of 100 pts)
                    (lowest 3 scores were dropped)
last column -- your grade in the class.		 Have a good Summer!