We are producing course material for mathematics at university and college level. Hania is our math artist, and she’s teaching at university in Sweden.

This is the second part of our first course and we published the first part in August 2020 and this second part in March 2021 at Udemy.com. You can find a table of contents for the second part in the following document. The table of contents for the first part can be found in the previous post.

The code is TPOT_OCT21 in October 2021 and, later, TPOT_NOV21, TPOT_DEC21, TPOT_JAN22, and so on.

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4 Comments

Rez
on June 15, 2023 at 1:35 pm

Hello there! My syllabus includes conic sections with Rotation of Axes among other topics of Calculus 3. I wanna know wether the rotation of axes is included or not.

Conic sections are discussed in our Calculus 3 (part 1 of 2), as they are very much needed for understanding of quadric surfaces, but not “conic section with rotation of axes”. To me, it sounds like a topic you would study in some Linear Algebra course.

As a lecturer, I never used rotated conics in my Calc3-class, but the content depends on your university, so you obviously need to learn it if it is required.

Right now, I am really busy with Calculus1+2, but I can imagine creating an appendix on this topic. Could you, please, send the syllabus to me? What textbook do you use?

Conic sections, rotation of axes, Rectangular coordinates in 3-space, dot and cross products of vectors, parametric equation of straight lines, Plane in 3-space, quadratic surfaces, Tangent and normal vectors, directional derivative and gradient of scalar fields, Double and triple integral in rectangular, polar, cylindrical and spherical coordinate systems, Vector fields, line integrals, conservative vector field, Greenâ€™s theorem, surface integral, flux, divergence theorem, Stokesâ€™ theorem.

Our recommended textbook is – Calculus Early Transcendentals by Howard Anton, Irl Bivens, Stephen Davis [10th Edition]

Wow, it’s a lot of linear algebra (LA)! In my first Calc3 I introduced some preliminaries in LA, so these topics are covered, but a *really thorough* coverage (of vectors, lines, planes) is in the first part of our Linear Algebra and Geometry trilogy.

Except “rotation of axes”, everything from your syllabus is covered in Calculus 3 (two parts together). If you want to, you can try and see if it is something for you. If not, you can always use the “30-days-money-back-no-questions-asked” policy.

Hello there! My syllabus includes conic sections with Rotation of Axes among other topics of Calculus 3. I wanna know wether the rotation of axes is included or not.

Thank you.

Hi,

Conic sections are discussed in our Calculus 3 (part 1 of 2), as they are very much needed for understanding of quadric surfaces, but not “conic section with rotation of axes”. To me, it sounds like a topic you would study in some Linear Algebra course.

As a lecturer, I never used rotated conics in my Calc3-class, but the content depends on your university, so you obviously need to learn it if it is required.

Right now, I am really busy with Calculus1+2, but I can imagine creating an appendix on this topic. Could you, please, send the syllabus to me? What textbook do you use?

Kind regards,

Hania

My syllabus is as follows

Conic sections, rotation of axes, Rectangular coordinates in 3-space, dot and cross products of vectors, parametric equation of straight lines, Plane in 3-space, quadratic surfaces, Tangent and normal vectors, directional derivative and gradient of scalar fields, Double and triple integral in rectangular, polar, cylindrical and spherical coordinate systems, Vector fields, line integrals, conservative vector field, Greenâ€™s theorem, surface integral, flux, divergence theorem, Stokesâ€™ theorem.

Our recommended textbook is – Calculus Early Transcendentals by Howard Anton, Irl Bivens, Stephen Davis [10th Edition]

Thanks!

Thank you!

Wow, it’s a lot of linear algebra (LA)! In my first Calc3 I introduced some preliminaries in LA, so these topics are covered, but a *really thorough* coverage (of vectors, lines, planes) is in the first part of our Linear Algebra and Geometry trilogy.

Except “rotation of axes”, everything from your syllabus is covered in Calculus 3 (two parts together). If you want to, you can try and see if it is something for you. If not, you can always use the “30-days-money-back-no-questions-asked” policy.

You can have a look at our syllabus here:

0. prerequisites (if you feel rusty about LA):

https://www.wehlou.com/hania/files/uu/Outline_Linear_Algebra_and_Geometry_1.pdf

1. content of the first part:

https://www.wehlou.com/hania/files/uu/Outline_Calculus3.pdf

2. content of the second part:

https://www.wehlou.com/hania/files/uu/Outline_Calculus3_part2.pdf

And links to the courses with our discount code:

https://www.udemy.com/course/linear-algebra-and-geometry-1/?couponCode=TPOT_JUN23

https://www.udemy.com/course/calculus-3-multivariable-calculus-part-1-of-2/?couponCode=TPOT_JUN23

https://www.udemy.com/course/calculus-3-multivariable-calculus-part-2-of-2/?couponCode=TPOT_JUN23

Kind regards,

Hania