Week

Sections Covered

Stewart

Spivak

Sep.12–16

10.1, 10.2

Sep.19–23

10.3, 10.4

Sep.26–30

12.1 – 12.3

Chapter 1 – Norm and Inner Product

Oct.3–7

12.4, 12.5

Chapter 1 – Subsets of Euclidean Space

Oct.12–14

12.7, 13.1 – 13.3

Oct.17–21

14.1 – 14.2

Chapter 1 – Functions and Continuity

Oct.24–28

14.3

Chapter 2 – Basic Definitions, Basic Theorems

Oct.31– Nov.4

14.5

Chapter 2 – Basic Theorems, Partial Derivatives

Nov.7–11

Chapter 2 – Partial Derivatives, Derivatives

Note: Taylor’s Polynomials added

Nov.14–18

14.4, 14.6, 14.7

Nov.21–25

14.7, 14.8

Nov.28–Dec.2

Chapter 2 – Inverse Functions

Dec.5–9

Chapter 2 – Implicit Functions

Jan.9–13

Chapter 3 – Basic Definitions, Measure Zero and Content Zero

Jan.16–20

Chapter 3 – Integrable Functions, Fubini’s Theorem

Jan.23–27

15.1 – 15.5

Jan.30– Feb.3

15.7 – 15.8

Feb.6–10

15.9

Chapter 3 – Change of Variable

Feb.13–17

Chapter 4 – Algebraic Preliminaries

Feb.27–Mar.3

Chapter 4 – Fields and Forms

Mar.6–10

Chapter 4 – Fields and Forms

Mar.13–17

Chapter 4 – Geometric Preliminaries

Mar.20–24

Chapter 4 – The Fundamental Theorem of Calculus

Mar.27–31

16.1 – 16.10

Apr.3–7

More applications of Stokes’ Theorem, from Stewart and otherwise

Apr.10–13

Other topics of interest and review