Mathematics 2E1 (for SF Engineering & MSISS students)
What is where in the textbook
Here is a guide to various textbooks where you can read in more detail about the course and find additional problems to practice on.
For multivariable calculus we use Thomas's Calculus [3].
- Chapter 1 (of notes)
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The vector valued functions (unit tangent vector, unit normal, curvature) chapter is chapter 13 in the 11th edition (chapter 10 in the 10th is similar). We did not cover every topic there. The basics of coordinates in space, lines (and planes which we did later) are in section 12.1-12.5. Some of this should be familiar from linear algebra. In the 11th edition the sections we covered were 13.1, 13.3, 13.4, 13.5 (only bit about tangential and normal components of acceleration)
In the 10th edition we covered 10.1, 10.3 (lines, we did planes in Chapter 2 of the notes), 10.2 (dot and cross products we did rather briefly), 10.5 (vector-valued functions), 10.6 (unit tangent, arc length, arc length parameter, curvature), part of 10.7 (tangential and normal components of acceleration).
- Chapter 2 (of notes)
-
For partial derivatives and related topics about functions of more than one variable see chapter 14 in the 11th edition (chapter 11 in the 10th edition). We need to know lines and planes (12.5 in the 11th edition, 10.3 in 10th). We did not cover section 14.9 of the 11th edition.
- Chapter 3 (of notes)
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Multiple intergrals are in the next chapter of the book. We covered all the topics of Chapter 15 in the 11th edition, though there are many examples in the book (especially the exercises) that we did not do. Chapter 12 of the 10th edition covers the same material as Chapter 15 of the 11th, with some differences in the pictures and maybe small differences in the explanations.
See Dr. Zaitsev's web site for further information. The above topics were covered by me.
- Topic 4
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Further linear algebra.
- Topic 5
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Fourier series.
References
- [1]
- Howard Anton and Chris Rorres, Elementary Linear Algebra with Applications (9th Edition), Wiley 2005 [or 8th edition 1999: Hamilton 512.5 L32*7-2;*, S-LEN 512.5 L32*7-2;*]
- [2]
- Erwin Kreyszig, Advanced engineering mathematics (9th edition), Wiley 2005 [or 8th edition, 1999 :Hamilton 510.24 L21*7]
- [3]
- Maurice D. Weir, Joel Hass and Frank R. Giordano, Thomas' Calculus (11th edition), Addison Wesley, 2005. [Hamilton 515.1 K82*10;*, S-LEN 515.1 K82*10;*] or 10th edition 2005 [Hamilton 515.1 K82*9;*, S-LEN 515.1 K82*9;* ]