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Table of contents

Numerical Mathematics - Reported problems

This page is about the numerical mathematics module.

Week 1

Video: 1.001 Introduction to number bases and modular arithmetic

  • At 11:16, (255, 255, 255) is white, not blue.

Video: 1.101 Introduction to number bases

  • At 11:34: Wrong. Each column is a power of 60, so it should be times 1, times 60 and times 3600.

Video: 1.107 Place value for fractional numbers: binary

  • At 0:37: The "fractional point" is called "radix point".

Practice quiz: 1.110 Rational and irrational numbers: decimal and binary

  • Answers should be given without spaces.

  • When a repeating fractional part is present, the answer should be written as i.rr..., where i stands for integer part, r is the repeating fraction and one must include three dots at the end. Example:

    is written as

Week 2

Video: 1.401 Octal and hexadecimal (integer)

  • In the quiz at 3:41, the place values are supposed to be entered as "1, 16, 256". The answer isn't accepted.
  • In the quiz at 4:24, 65536 should be written as , but the "6" isn't part of the exponent part.
  • At 5:07, second letter in hexadecimal should be "B", not "D".
  • At 6:01, the hexadecimal number 11F should have an expansion starting with , not as displayed.
  • In the quiz at 6:29, the third answer is 256, not 64. The last part is asking in the quiz for multiples in binary while the answer is given for hexadecimal.

Practice quiz: 1.404 Translate between decimal and hexadecimal or octal (fractional)

  • 3.44 in octal is , not .
  • Options may present groupings of numbers. If a grouping is supposed to be of 3 digits for instance and you're presented with 4 digits, assume that the last digit should be in subscript (representing the number base, such as 2 for binary or 8 for octal) so that it makes sense when reading. In a grouping of 3 digits, 0002 should be interpreted as 000, base 2.

FIXED - Video: 1.405 Special relationship between binary and hexadecimal, and binary and octal

  • At 7:38, this is wrong. C (base 16) = 12 (base 10) = 1100 (base 2), not 1101.
  • At 11:24, The grouping of digits is wrong. in binary should read , having only one radix point.
  • At 11:37, it is said the answer is 11.71 (base 8). Wrong: It's 11.74 (base 8).

Practice quiz: 1.406 Translate between binary and hexadecimal/octal

  • Question 6: 73.06 (base 8) is 111011.00011 in binary.

Practice quiz: 1.602 Arithmetic in hexadecimal/octal

  • 6D × 60 in hexadecimal is 28E0.
  • 6C × 3B in hexadecimal is 18E4.

Week 3

Lesson 1.10

Video: 1.1004 Multiplicative identity, inverse mod k, exponentiation mod k

  • At 27:20, 83 is not 255 but 512.

Video 1.1006 Mod, rem and division

  • At 1:49, the expression isn't rendered properly (the congruence symbol doesn't appear). Subsequent expressions also present this issue.

Lesson 1.11

Video 1.1101 Encryption using modular arithmetic

  • The video contains many display errors that are fixed in a previously uploaded version. While not being flawless, it's much better. For now, the video can be downloaded from this link. If you want to add subtitles, you can download them here.

    • If you don't know how to add the subtitles to the video, try with VLC media player (free): open the video (1_1101_Encryption_using_modular_arithmetic.mp4) and from VLC, click at the top on Subtitle, then on Add Subtitle File... and open the subtitles file (1_1101_subtitles-en.vtt). They will automatically be added and synced to the video.
  • At 3:43, a banner appears in the background and has nothing to do with was it being taught.

  • At 4:40 and 4:52, the congruence symbol is not rendered properly: .

  • At 6:04, it should be , not .

  • At 8:43, the equation appears in the background and can't be read. The equation is: .

  • At 11:28, again the expression can't be read. The expression is: .

Week 4

Lesson 2.1: Video 2.103 Defining sequences

  • Audio is out of sync from 15:19 onward: please refer to the transcript to better follow along.

Lesson 2.2: Video 2.201 Arithmetic progressions

Partially fixed. The transcript and subtitles do not appear at this moment.

Week 5

Lesson 2.5

Video 2.502 Series: sums of terms of sequences; summation symbol: sigma notation

  • At 20:38, the number 32 was skipped when calculating the sum of the series.

Video 2.509 Finite sums

  • At 10:11, the summation for the term is omitted.

Lesson 2.6

Practice quiz: 2.602 Limits of sequences

  • Question 1: There is no clear way to indicate that there is no limit or what the considered interval really is.

Video 2.604 Patterns in series; limit; convergent and divergent series

  • The result for the last example is , not .

FIXED - Practice quiz 2.608 Criteria for identifying convergent/divergent sequences and series

  • Question 1: The answer is divergent.
  • Question 2: The answer is convergent,3/4.

Summative quiz

  • Question 2: The quiz does not accept the valid answer and tells the user that the wrong answer is correct instead.

Week 6

Lesson 3.1

Video 3.101 Cartesian coordinates

  • There is no sound. For now, you can download the video from this link. You can get the subtitles from this link.
    • If you don't know how to add the subtitles to the video, try with VLC media player (free): open the video (3_101_cartesian_coordinates.mp4) and from VLC, click at the top on Subtitle, then on Add Subtitle File... and open the subtitles file (3_101_subtitles-en.vtt). They will automatically be added and synced to the video.

Lesson 3.2

Video 3.204 Functions and tables of values

  • At 10:44, , not .

Video 3.207 Plotting graphs by hand – straight lines

  • At 4:17, the result of is , not .

Video 3.211 Plotting graphs by hand – reciprocal

  • There is no sound nor visual guidance from 8:16 till 8:35.

Lesson 3.4

Video 3.401 Kinematic equations

  • At 8:00, the last formula presented at the bottom of the slide should not have but instead, as follow:

Summative quiz

  • No formatting seems appropriate to answer question 2. None of the following is accepted: inf, infinity, infty.

Week 7

Lesson 4.1

Video 4.101 Introduction to angles and triangles

  • At 17:09, , not .

Lesson 4.2

Practice quiz 4.204 Trigonometric ratios in the right-angled triangle

  • Questions 6 and 7 present different errors:
    • The information in the question doesn't necessarily match the data in the picture.
    • The grader expects impossible answers for the missing side and/or angle. Verify your answer with Pythagoras's theorem and the sine rule instead of relying on the grader.

Video 4.206 Trigonometric ratios in the right-angled triangle: Part 2

  • At 14:03, , not .

Week 8

Summative quiz

  • Question 1: The given angles in the selection are computed correctly, but they do not correspond to the correct letter: the value of angle C should be the value of angle A and vice versa.
  • Question 4: The grader appears to consistently invert the solution when converting from radians to degrees. For example, 40 radians is ~131.83° but the expected answer is 0.698°, which is the result in radians of 40°.
  • [fixed] The quiz doesn't let the student see what the mistakes are once the quiz has been submitted.

Week 10

Lesson 5.3

Practice quiz 5.307 Solving trigonometric equations

  • Question 3: The answer should be None of the other options is correct when asked for a value of where .

Lesson 5.4

Summative quiz 5.402 Trigonometric functions

  • Question 2: The option is valid and should be selected, but is currently marked as wrong.
  • Question 3: Some translations that should occur in the negative x-direction, such as , are mistakenly graded as being in the positive x-direction.

Week 12

Lesson 6.2

Video 6.207 Logarithmic equations

  • At 14:40, a negative sign is added to . The equation should instead be:

Week 13

Lesson 7.2

Practice quiz 7.202 Differentiation from first principles

  • Question 1: The selection is invalid. should not be selected as it is not equivalent to the right answer, which is also another available option to select:

Lesson 7.3

Video 7.303 Chain rule

  • At around 3:45, the final expression for the derivative of

    is missing a negative sign in front of it. The correct expression should be as follow:

Week 14

Lesson 7.6

Practice quiz 7.602 Calculus topic

  • Questions 5 and 6 assume , which is indispensable to know to calculate the limit.

Week 15

Lesson 8.1

Video 8.101 Representations and properties of vectors

  • At 4:16, the notation for the vector is wrong. It should instead be:

Lesson 8.2

Video 8.204 Operations with matrices: linear combination, multiplication

  • At 9:48, the resulting matrix contains an error at row 2, column 4. The correct value is 122 as shown in this matrix:

Week 17

Lesson 9.1

Video 9.109 Designing regular shapes: polygons and stars

  • The video blacks out from 2:53 onward.

Additional resources

Larson, R. Precalculus with limits. (Boston, MA: Cengage, 2017) 4th edition [ISBN 9781337516853]

  • Page 423: Minor mistake in carrying calculations: Larson p423