Calculus I

Sundays

• 2000 - 2100:  none

• 2100 - 2200:  MIDN Thomas Jennings

Mondays

• 2000 - 2100:  MIDN Molly Welch,  MIDN Will Stallworth

• 2100 - 2200:  MIDN Arianna Ruiz

Tuesdays

• 2000 - 2100:  MIDN Dylan Huffman

• 2100 - 2200:  MIDN Kerry Johnson,  MIDN John Whelan

Wednesdays

• 2000 - 2100:  MIDN Stephen Hutnyak,  MIDN Alexandre Toner

• 2100 - 2200:  MIDN Jon Briggs

Thursdays

• 2000 - 2100:  MIDN Gabriel Cao

• 2100 - 2200:  none

Day 1  (Thurs 17 Aug):

• Discuss the Course Policy Statement, Syllabus, accessing WebAssign via Blackboard, the structure of my course.

• Coordinates, lines, circles  (Appendix B, C),  p.A15: 1,9,17,18,26,27,31,33,35,42,57; p. A23: 1,4,5

  • • • Discuss Cartesian (xy-)plane,  the distance formula for two given points,  slope of a line,  equations of lines. 

Day 2  (Fri 18 Aug):

• Coordinates, lines, circles  (Appendix B, C)  [Finish this section today]

  • • • Parallel and perpendicular lines,  equations of circles.

• Trigonometry  (Appendix D),  p.A32: 3,10,13,20,21,23,30,37,59,65

  • • • Angles in radians and degrees,  30-60-90  and  45-45-90  right triangles.

Day 3  (Mon 21 Aug):

• Trigonometry  (Appendix D)  [Finish this section today]

  • • • Arc length of a sector of a circle,  trigonometric functions  and  trigonometric identities.

• Representing functions  (Section 1.1),  p.19: 4,7-10,11,14,25,26,27,29,32,41

  • • • Functions,  domain and range,  evaluation of a function,  graph of a function,  piecewise functions.

Day 4  (Tues 22 Aug):

• Mathematical models  (Section 1.2),  p.19: 59,62-64,69,70,73; p.33: 3,4,10,15,19

  • • • Linear functions,  polynomials,  quadratic polynomials,  cubic polynomials,  power functions y = f(x) = x^a, where a = constant.

      • Sketch the graph of  y = f(x) = x^n, n = 1, 2, 3, 4, ...

      • Sketch the graph of  y = f(x) = x^{1/n}, n = 1, 2, 3, 4, ...

      • Some  Section 1.2  WebAssign problems involve modeling  (they are word problems).  If you get stuck while doing the homework, bring questions to class.

Day 5  (Wed 23 Aug):

• Mathematical models  (Section 1.2)  [Finish this section today]

  • • • Rational functions,  even and odd functions. 

• Derive why is cos(π/4) = √2/2.  Hint:  use an isosceles right triangle.

• Derive why is cos(π/3) = 1/2.  Derivate why is sin(π/3) = √3/2.  Hint:  use an equilateral triangle. 

• New functions from old  (Section 1.3,  Quiz 1),  p.42: 3,5,6,9,10,11,14,15,19,21

  • • • Talk about transformations of functions  (translations;  shifts).

Day 6  (Mon 28 Aug):  

• New functions from old  (Section 1.3)  [Finish this section today]

  • • • Transformations of functions  (translations;  shifts).

      • Transformations of functions  (vertical and horizontal stretching,  and  reflecting). 

• Composition  (Section 1.3),  p.42: 33,43,46,52,53,57

  • • • Compositions of functions (f o g)(x)  and  some simple problems from WebAssign.

Day 7  (Tues 29 Aug):  Exponential functions  (Section 1.4),  p.53: 3,9,11,13,15,17,21,23,30

• Discuss several WebAssign problems.

• Discuss exponential functions  f(x) = b^x,  where  b > 0  and  x = a positive integer, 0, a negative integer, a rational number. 

• Law of exponents:  for  a, b > 0  and  x, y any real numbers,

  • • • b^x b^y = b^{x+y}

      • b^{x - y} = b^x/b^y

      • (b^x)^y = b^{xy}

      • (ab)^x = a^x b^x.

• Simplify (2a)^5 6a^3.

• Simplify (5 z^2)^4/(25 z^5).

• Sketch the graph of f(x) = 3 - 2^x. 

Day 8  (Wed 30 Aug):  Inverse functions  (Section 1.5,  Quiz 2),  p.66: 3-8,10,11,15,17-19,21,22,27,29

• f is injective if  f(x_1) = f(x_2) => x_1 = x_2. 

• Horizontal line test.

• Inverse function. 

• The graph of f^{-1} is obtained by reflecting the graph of f about the line y = x.

Day 9  (Fri 1 Sept):  Logs and inverse trig  (Section 1.5),  p.66: 23,25,35,49,51,53,63,70,71

• Always assume  b > 0  and  b ≠ 1.

• log_b(x) = y  <=>  b^y = x.

• log_b(b^x) = x  for every real number x.

• b^{log_b(x)} = x  for every real  x > 0. 

• Laws of logarithm. 

• Natural logarithm  (now let b = e):  log_e(x) = ln(x).

• ln(e^x) = x  for every real number x.   So  ln(e) = 1.

• e^{ln(x)} = x for every real  x > 0.

• Change of base formula:  for b > 0 and b ≠ 1,  log_b(x) = ln(x) / ln(b).

• Inverse Trig. 

Day 10  (Tues 5 Sept):

• You will have a substitute today.

  • • • Section 2022:  Professor Will Traves

      • Section 3024:  Professor Caroline Melles

      • Section 4023:  Professor Kassie Archer

• Review  (Go through a Practice Exam).  A printed copy will be passed out during class.  Work through them in small groups.  If you are stuck on a problem as a class, one or a few midshipmen should go to a chalkboard and try to think through the problem.  Then teach everyone the technique you used to solve the problem.

• The best way to study is for you to actively work on many practice problems.  By doing this, you are working on your speed and writing mathematics quickly.  

• Another great way to study is for you to be a leader and help your classmates and other SM121 midshipmen with the course material  (by solving problems on a paper,  on a marker board,  or  on a chalkboard). 

• Today immediately after lunch, the Academic Center will host a special Review Session for all SM121 midshipmen. 

Day 11  (Wed 6 Sept):

• You will have a substitute today. 

  • • • Section 2022:  LCDR Brad Cerasuolo

      • Section 3024:  Professor Irina Popovici

      • Section 4023:  Professor Kassie Archer

• Review  (Go through a Practice Exam).  Another printed copy will be passed out during class.  Work through them in small groups.  If you are stuck on a problem as a class, one or a few midshipmen should go to a chalkboard and try to think through the problem.  Then teach everyone the technique you used to solve the problem.

• The best way to study is for you to actively work on many practice problems.  By doing this, you are working on your speed and writing mathematics quickly.  

• Another great way to study is for you to be a leader and help your classmates and other SM121 midshipmen with the course material  (by solving problems on a paper,  on a marker board,  or  on a chalkboard). 

Special Review Session  (Thurs 7 Sept):

• Today immediately after lunch, the Academic Center will host a special Review Session for all SM121 midshipmen. 

Day 12  (Fri 8 Sept):  

• You will have a substitute today. 

  • • • Section 2022:  Capt Ryan Martinez

      • Section 3024:  Professor Irina Popovici

      • Section 4023:  Professor Kassie Archer

• Test 1  (in-class,  CH102,  50 minutes):  there are 8 problems and some problems have multiple parts.  

  • • • Calculators are not allowed.

      • Please pace yourselves and skip the problems you do not know how to solve  (the test is long).  

      • Return to the problems you are stuck on when you have time.  

      • Do not leave any problem blank since I will give partial credit.

      • If you want me to grade your scratch sheet (because you decided to show more work on additional paper), write the problem number on the top of the paper (for example, 2a) and write your name on each additional paper so that it doesn't get lost in the pile of exams.

      • Do not look at other people's work,  and  cover your work.

      • Write your Section Number on the front cover:  Section 2022,  Section 3024,  Section 4023.

      • When you are done with your test, give it to Capt Martinez, Professor Popovici, or Professor Archer,  and  you may go ahead and leave. 

      • Good luck!

• I will pick up your Test 1 from the proctors and grade them beginning this afternoon.

Announcement  (Sat 9 Sept):

• I have graded your  Test 1.

Announcement  (Sun 10 Sept):

• Your grades are posted in Blackboard.

• Descriptive statistics  (before the  +2 bonus points): 

  • • • Mean  (Average):  72.2946

      • Standard deviation:  14.6103

      • Median:  75.5

      • Mode:  70

• I have given each person  +2 bonus points  on your  Test 1.

Day 13  (Mon 11 Sept):

• Tangent and velocity  (Section 2.1),  p.82: 3,5

• Go over  Test 1  problems.

Day 14  (Tues 12 Sept):  Limits  (Section 2.2),  p.92: 4-7,9,10,13,17,19,25,31,33,35

• Definition of  lim_{x → a} f(x) = L.

• One-sided limits and Heaviside (step) function that describes an electric current switched on at time t = 0.

• The limit of a function f(x) exists as x → a if and only if the left limit equals the right limit.

• Infinite limits and vertical asymptotes (when does a vertical asymptote exist?). 

Day 15  (Wed 13 Sept):  Limit Laws  (Section 2.3,  Quiz 3),  p.102: 1,2,9,11,13,15,17,21,24,30,37,38,50,52

• Properties of limits.

• Direct substitution property.

• Applications of:  the limit of a function f(x) exists as x → a  ⟺  the left limit of f(x) equals the right limit of f(x) as x → a.

Day 16  (Fri 15 Sept):  

• Limit Laws  (Section 2.3)  [Finish this section today]

  • • • • • • How to show that the limit of a function as  x → a  does not exist. 

            • Squeeze theorem.

      • Continuity  (Section 2.5),  p.124: 3,9,20,39,43,53,55

        • • • A function f(x) is continuous at a if  lim_{x → a} f(x) = f(a). 

            • f is continuous from the left at a if  lim_{x → a^-} f(x) = f(a).

            • f is continuous from the right at a if  lim_{x → a^+} f(x) = f(a).

            • f is continuous on an interval if f is continuous on every point on the interval.

            • Keep in mind: 

              • The (fundamental) domain for theta in  θ = arcsin(x)  is  -π/2  to  π/2.

              • The (fundamental) domain for theta in  θ = arccos(x)  is  0  to  π. 

            • Intermediate Value Theorem:  assume f continuous on [a, b] and f(a) < N < f(b).  Then there exists c between a and b such that f(c) = N.

• Why can't you divide by zero?

• More related videos on  "what is 1/0?"

Day 17  (Mon 18 Sept):  Limits involving infinity  (Section 2.6),  p.137: 3,5,7,11-13,15,17,31,37,43,49,50

• Second period  (Section 2022)  only:  review  Section 2.5  Intermediate Value Theorem and example.

• The limit of f(x) as x → ∞ gives us a horizontal asymptote.

• The limit of f(x) as x → -∞ gives us a horizontal asymptote.

• To get the vertical asymptotes, first factor out any common factor from the numerator and the denominator.  Cross them out.  Then set the denominator = 0 to find the vertical asymptotes.

• Finding horizontal and vertical asymptotes.

Day 18  (Tues 19 Sept):  Derivatives and rates of change  (Section 2.7),  p.148: 1,3,7,11,13,18,20,23

• The slope of the tangent line to f(x) at the point P(a,f(a)) is  lim_{x → a} ( f(x) - f(a) )/(x - a).

• The slope of the tangent line to f(x) at the point P(a,f(a)) is  lim_{h → 0} ( f(a+h) - f(a) )/h.

• Definition:  the derivative  f'(a)  of f at a is the slope of the tangent line to (a, f(a)).

• Equation of the tangent line:  y - f(a) = f'(a) (x - a).

Day 19  (Wed 20 Sept):  Derivatives and rates of change  (Section 2.7,  Quiz 4),  p.148: 30,31,33,35,46,47,56

• Average velocity = slope of a secant line.

• Instantaneous velocity = instantaneous rate of change = slope of a tangent line.

Day 20  (Fri 22 Sept):  Derivative as a function  (Section 2.8),  p.160: 1,3-11,27,29,31,41,53

• Discuss how to view derivatives as functions.

• If given the graph of f(x), sketch the graph of f'(x). 

• If given f(x), find f'(x) using the definition of a limit. 

• I will pass out a Practice Test 2 today.  There are no solutions to this test.  Check your solutions against other midshipmen's solutions, or take it to MGSP, Math Lab, Ac Center, or work through them with more senior midshipmen.  

• If you are willing to share your Practice Test 2 solutions with me to post on the course's Google Drive, please scan and email your pages to me.

Day 21  (Mon 25 Sept):  Review

• Section 2.8:  discuss differentiability.

• Section 2.8:  f(x) differentiable at a implies f(x) is continuous at a.

• You really need to complete all of your Chapter 2 homework sets before Wednesday's test so that you are well prepared for the exam. So please try to complete all of them by today or tomorrow.

• I will pass out two Practice Tests today.  The solutions to these are on my Google Drive.

Day 22  (Tues 26 Sept):  Review

• Go through Practice Tests in small groups.

Day 23  (Wed 27 Sept):  Test 2

• No calculators.

• There are 8 problems.  Some problems have multiple parts.

• Every response must be justified mathematically, except the multiple choice problems.

• Do not look at other people's papers  and  cover up your work.

• The maximum point possible is 100 points. 

Announcement  (Thurs 28 Sept):

• Starting this Friday, I will not give you an extension on your HW unless you have a valid excuse.

  • • • Examples of a valid excuse:  medical reasons,  cold,  surgery,  movement order.

      • All because you were busy doing homework or studying for another class, this is not a valid excuse.

      • In order to avoid doing SM121 homework on the night that it is due, start on your HW early,  as soon as that section is covered in class.

• Install Mathematica. 

• This is only for the few midshipmen who often get sleepy during class:  if you are sleepy during class, stand up or walk around and get some water.  If you continue to feel sleepy, I will take away your chair so that you do not miss out on our class discussions.

• Test 2 statistics: 

  • • • Mean  (average):  72.6409/100

      • Median:  74/100

      • Mode:  87/100

      • Standard deviation:  17.2432 points

      • Highest score  (multiple people got this):  100/100

      • Percentage of A's:  25.5%

      • Percentage of B's:  16.4%

      • I will not be giving a curve this time-- many of you did great on this difficult test!

Day 24  (Fri 29 Sept):  Derivatives of polynomials and e^x  (Section 3.1),  p.180: 3,6,9,11,13,15,19,20,23,31,33,34,39,47-49,55

• • • • Install Mathematica.  I'll update this website this (late) afternoon with more instructions if you couldn't install this during class. 

      • Test 2 solutions  will be posted later today. 

      • New seating starting today!

      • Section 2022

      • Section 3024

      • Section 4023

Day 25  (Mon 2 Oct):  Product and quotient rules  (Section 3.2),  p.188: 1,3,5,7,9,14,17,27,30,35,43,46,49,50

• 2nd period Substitute:  LCDR Brad Cerasuolo

• 3rd period Substitute:  CDR E. Kirsten Davis

• 4th period Substitute:  Professor Ana Maria Soane

• In the event of a shutdown,  here are your instructions:

  • • • 2nd period  (MI110):  LCDR Casey Rayburg

      • 3rd period  (CH100):  Capt Caleb Crispell

      • 4th period  (MI110):  Capt Caleb Crispell

• Math Lab for a group EI will also be available  (more information should be sent to you in the next several days).  Please make use of the Math Lab and Ac Center during this uncertain time.  Also, when you see other midshipmen struggling, please help them as much as possible!

Day 26  (Tues 3 Oct):  Trig derivatives  (Section 3.3),  p.196: 1,5,15,17,25,27,29,31,35

• New seating assignment today!  If the government is still under a shutdown, new seating assignment will be implemented as soon as I am allowed to return. 

• We'll use  Mathematica  starting today!  Download this from the  Software Center.  If we are still under shut down, we will postpone this until I am allowed to return. 

• If we are scheduled to meet but we are still under a shutdown, then we will need to postpone everything until we are allowed to return.

Day 27  (Wed 4 Oct):  Chain rule  (Section 3.4,  Quiz 5),  p.204: 7,9,11,14,17,21,23

• We'll use  Mathematica  starting today!  Download this from the  Software Center.

Day 28  (Fri 6 Oct):  Chain rule  (Section 3.4),  p.204: 35,37,61,63,65,69

• We'll continue to use  Mathematica  today to check our work.

Day 29  (Tues 10 Oct):  Implicit differentiation  (Section 3.5),  p.215: 5,10-12,15,18

• We'll continue to use  Mathematica  today to check our work.

Day 30  (Wed 11 Oct):  Implicit differentiation  (Section 3.5,  Quiz 6),  p.215: 29,30,49,51

• You may use  Mathematica  on your Quiz 6 today.

Day 31  (Fri 13 Oct):  Derivatives of logs  (Section 3.6),  p.223: 2,3,6,9,13,15,19,23

• I'll give you a few minutes at the beginning of class to check your work from Wednesday's quiz (Quiz 6).

Day 32  (Mon 16 Oct):  Logarithmic differentiation  (Section 3.6),  p.223: 43-50

• Apply  ln  to both sides to find y'. 

Day 33  (Tues 17 Oct):  Rates of change  (Section 3.7),  p.233: 1,5,7,8,13,18,22,26

• 4th period only:  Michael will solve for  y'  given  x^y = y^x. 

• Work on a long physics problem together as a class.

Day 34  (Wed 18 Oct):  Related rates  (Section 3.9,  Quiz 7),  p.249: 3-6,13,15-18

Day 35  (Fri 20 Oct):  Related rates  (Section 3.9),  p.249: 20,22,23,29,32,37,43

• I'll give you some time at the beginning of today's class to look over your solutions to Quiz 7.

Day 36  (Mon 23 Oct):  Linear approximations  (Section 3.10),  p.256: 3,5,6,23,25

• Section 3.9  (Related Rates):  We'll do 1-2 more example problems today.

Day 37  (Tues 24 Oct):  Taylor polynomials  (handout)

• Section 3024:  Professor Nelson Uhan  (D/Math, Senior OR Academic Advisor)  will visit your class today.  Just be yourselves!

• There are 5 Practice Test 3 on my Google Drive.  I will pass out hard copies today.

Day 38  (Wed 25 Oct):  Applications of Taylor polynomials  (handout)  (Quiz 8)

Day 39  (Fri 27 Oct):  Review

• I'll give you some time at the beginning of class to complete Quiz 8. 

• There are 5 Practice Test 3 on my Google Drive.

• Go through the practice tests  AND do the 5 problems on Taylor Polynomials worksheet that I passed out on Tues 24 Oct. 

• The solutions to 2 of the practice tests are already in my Google Drive. 

• Solutions to sm121f08p3.pdf

  • • • Solutions in Mathematica:  https://drive.google.com/file/d/1cPNvY0_kpMUrDaJmI5ExiS_sbMFOb72b/view?usp=sharing

      • Solutions in pdf:  https://drive.google.com/file/d/192AKaMmIzyIrnknEADddIYPtGdi7gQlC/view?usp=sharing

• Solutions to 29 Oct 2008 

  • • • Solutions in Mathematica:  https://drive.google.com/file/d/1-pZ0AF9fJvNByhDjrw_sA-tdvINJ17dT/view?usp=sharing

      • Solutions in pdf:  https://drive.google.com/file/d/17YSQ41WQ3_HVmNVBn8vBI19rSguM4H4g/view?usp=sharing

• Solutions to 27 Oct 2008

  • • • Solutions in Mathematica:  https://drive.google.com/file/d/1eES4gTVgGynu56fGPZPdIKSyEcLTvlES/view?usp=sharing

      • Solutions in pdf:  https://drive.google.com/file/d/1UxDYJyMXkyp0G5LgpWD9ogezNRhSp5Sg/view?usp=sharing

Day 40  (Mon 30 Oct):  Review

• There are 5 Practice Test 3 on my Google Drive.

• Go through the practice tests  AND do the 5 problems on Taylor Polynomials worksheet that I passed out on Tues 24 Oct.

• The solutions to 2 of the practice tests are already in my Google Drive.

• Solutions to sm121f08p3.pdf

  • • • Solutions in Mathematica:  https://drive.google.com/file/d/1cPNvY0_kpMUrDaJmI5ExiS_sbMFOb72b/view?usp=sharing

      • Solutions in pdf:  https://drive.google.com/file/d/192AKaMmIzyIrnknEADddIYPtGdi7gQlC/view?usp=sharing

• Solutions to 29 Oct 2008

  • • • Solutions in Mathematica:  https://drive.google.com/file/d/1-pZ0AF9fJvNByhDjrw_sA-tdvINJ17dT/view?usp=sharing

      • Solutions in pdf:  https://drive.google.com/file/d/17YSQ41WQ3_HVmNVBn8vBI19rSguM4H4g/view?usp=sharing

• Solutions to 27 Oct 2008

  • • • Solutions in Mathematica:  https://drive.google.com/file/d/1eES4gTVgGynu56fGPZPdIKSyEcLTvlES/view?usp=sharing

      • Solutions in pdf:  https://drive.google.com/file/d/1UxDYJyMXkyp0G5LgpWD9ogezNRhSp5Sg/view?usp=sharing

Day 41  (Tues 31 Oct):  Test 3

• Calculators are NOT allowed.

• Every free response question must be justified mathematically.

• The multiple choice problems do NOT have to be justified.

• There are a total of 8 problems.  Five are multiple choice problems, and other problems have multiple parts.

Day 42  (Wed 1 Nov):  Max and mins  (Section 4.1),  p.283: 3,5,7,11,15,17,22,23,30,36,39,43

• New seating starting today!

• Section 2022

• Section 3024

• Section 4023

Announcement  (Thurs 2 Nov):

• Test 3 statistics:

  • • • Mean  (average): 75.9643/100

      • Median:  78.25/100

      • Mode:  99/100

      • Standard deviation:  17.3433 points

      • Highest score  (multiple people got this):  100/100

      • Percentage of A's:  23.214%

      • Percentage of B's:  19.643%

      • There won't be a curve. 

Day 43  (Fri 3 Nov):  Max and mins  (Section 4.1),  p.283: 47,48,51,53,55,61

• New seating starting Wednesday 1 Nov!

• Section 2022

• Section 3024

• Section 4023

• Have a great weekend!

  • • • Top Gun with a Cat:  https://www.youtube.com/watch?v=w3rQ3328Tok

      • Titanic with a Cat:  https://www.youtube.com/watch?v=kEPfM3jSoBw

Day 44  (Mon 6 Nov):  Mean value theorem  (Section 4.2),  p.291:13,15,25

Day 45  (Tues 7 Nov):  Derivatives and graphs  (Section 4.3),  p.300:1,2,5,9,19,24,27-29,34,36

Day 46  (Wed 8 Nov):  Derivatives and graphs  (Section 4.3,  Quiz 9),  p.300: 37,39,40,42,53

Day 47  (Mon 13 Nov):  L'Hôpital's rule  (Section 4.4),  p.311: 1,2,8,9,15,17,19-21,27

Day 48  (Tues 14 Nov):  L'Hôpital's rule  (Section 4.4),  p.311: 41,43,45,47,55,59,63,69

• Professor Im is visiting Marine Corps Base Quantico in Quantico, VA.

• Section 2022 substitute:  Professor Ben Passer

• Section 3024 substitute:  Professor Ben Passer

• Section 4023 substitute:  Professor Max Wakefield

• Work on WebAssign on Section 4.4 today.

Day 49  (Wed 15 Nov):  Curve sketching  (Section 4.5,  Quiz 10),  p.321: 1,3,5,6

• Professor Im is visiting Marine Corps Base Quantico in Quantico, VA.

• Section 2022 substitute:  LCDR Timothy B. Brock  or  LCDR Brad Cerasuolo

• Section 3024 substitute:  CDR Kirsten Davis

• Section 4023 substitute:  Professor Dean Duffy

• First 20 minutes:  work on WebAssign homework assignments.

• Last 30 minutes:  take Quiz 10.

Announcement (Thurs 16 Nov):  

• I gave everyone  +1 bonus point  on your Quiz 10.

Day 50  (Fri 17 Nov):  Curve sketching  (Section 4.5),  p.321: 9,12,13,15

Day 51  (Mon 20 Nov):  Optimization problems  (Section 4.7),  p.336: 1,3,7,11-15

• Practice a few  Section 4.5 Curve Sketching  today.

• I'll pass out  5 Practice Test 4's  today.

Day 52  (Tues 21 Nov):  Optimization problems  (Section 4.7),  p.336: 35,36,61,63,78

Day 53  (Wed 22 Nov):  Antiderivatives  (Section 4.9,  Quiz 11),  p.355: 1,2,4,5,7,9,12,13,15,16,18

Thanksgiving Break  (Thurs - Fri 23 - 24 Nov):  No classes!  Have a great break!

Day 54  (Mon 27 Nov):  Antiderivatives  (Section 4.9),  p.355: 23,31,39,43,61,64,74,76

Day 55  (Tues 28 Nov):  Review

Day 56  (Wed 29 Nov):  Review

Announcement  (Thurs 30 Nov):  Make-Ahead Test 4 for those on MO tomorrow  (email back  Professor Im  if you are going to be absent).  

• We will be in  CH320  from 1230 - 1320.

Day 57  (Fri 1 Dec):  Test 4

• There are 8 problems on the test, and 5 are multiple choice problems.

• You may use a TI 36X-Pro calculator.

Annoucement  (Sun 3 Dec):

• Since Test 4 was long and more on the difficult side, I gave everyone  15 points  for  Problem #6.

• If you partically got Problem #6 correct, you got  +1, +2, +3  bonus points on your test.

• Test 4 Summary Statistics: 

  • • • Mean:  75.6473/100

      • Standard Deviation:  16.3572

      • Median:  78.83/100

      • Mode:  82/100

      • Highest grade:  103/100

      • Number of A's:  27.27%

      • Number of B's:  18.18%

Day 58  (Mon 4 Dec):  Review

• I will pass out 3 practice Final Exams. There are more practice Final Exams on my google drive, and ALL solutions are available from my google drive. 

• I'll also pass out the list of 20 proofs that you need to know for the Final Exam.

• I just posted Fall 2022 Practice Final Exam.  See my google drive.

Day 59  (Tues 5 Dec):  Review

• Work through 20 proofs or go through a practice Final Exam.

Day 60  (Wed 6 Dec):  Review,  SOFs

• We'll save this for another time.  →  Two Truths and A Lie

  • • About Prof. Im: 

      • • When I entered college, I wanted to be a business major, and then work on an MBA.

        • I skydived over the Himalayas before.

        • I raised a cocker spaniel, a turtle from my backyard, several tiny fishes from the Atlantic Ocean, hamsters, mice, baby chickens, and hundreds of rabbits when I was in elementary, middle and high school. 

• Work through 20 proofs or go through a practice Final Exam.

Army-Navy Game  (Sat 9 Dec,  1500 - 1830):

• Foxborough, MA

Final Exam EIs  (Mon 11 Dec,  0900 - 1200  and  1400 - 1840):

• Let's review for the Final Exam!  I have reserved TWO rooms.

• CH160:  0900 - 1200  and  1400 - 1840

• CH161:  0900 - 1200  and  1400 - 1840

• I will move between the  two classrooms  during these hours.  I ask that you form small groups and help or work together on some of the practice Final Exam problems.

Final Exam  (Tues 12 Dec,  1300 - 1600):

• Section 2022  (19 midshipmen):  CH107

• Section 3024  (18 midshipmen):  CH117

• Section 4023  (19 midshipmen):  CH110

• Final Exam Format  [TOTAL:  10 free response  (5 points each)  and 20 multiple choice  (2.5 points each)  problems]:

  • • • Bring #2 pencils and a USNA-issued (TI-36X Pro) calculator.

      • Some long answer (free response) problems have multiple parts.

      • The Final Exam is worth a total of 100 points.

      • Part A  (total: 25 points):  5 long answer (free response) problems  (5 points each).  Calculators NOT allowed.

      • Hand-in  Part A  and you'll receive a  post-it  sticker  to leave it out on your desk, which will mean you are now ALLOWED to use a calculator for Part B and Part C. 

      • Part B  (total: 50 points):  20 multiple choice (scantron) problems  (2.5 points each).  Calculators ARE allowed.

      • Part C  (total: 25 points):  5 long answer (free response) problems  (5 points each).  Calculators ARE allowed.

      • 2 Proof Problems.

        • • • #1-16: from Chapter 3

            • #17: from Chapter 2.8

            • #18: from Chapter 4.2

            • #19: from Chapter 4.3

            • #20: from Chapter 4.2