MATH1014 - Calculus: Lecture Outline
Lecture time: 11am - 12pm & 1pm - 3pm AEDT
Sections listed below are from the book Essential Calculus (second edition) by James Stewart.
WEEK 1
23 November 2023
1. Improper Integrals (6.6)
2. Sequences (8.1)
3. Series (8.2)
24 November 2023
1. Integrals & comparison tests (8.3)
2. Convergence tests (8.4)
3. Power Series (8.5)
WEEK 2
30 November 2023
1. Functions associated with power series (8.6)
2. Taylor & MacLaurin Series (8.7)
3. Parametric curves (9.1)
1 December 2023
1. Arc length (7.4)
2. Polar co-ordinates (9.3)
WEEK 3
7 December 2023
1. Areas & lengths in polar coordinates (9.4)
2. Functions of several variables (11.1)
3. Limits & continuity (11.2)
4. Partial derivatives (11.3)
8 December 2023
1. Tangent planes & linear approximation (11.4)
2. The chain rule (11.5)
3. Directional derivatives & gradient vector
(11.6)
WEEK 4
14 December 2023
1. Maxima & minima (11.7)
2. Lagrange multipliers (11.8)
15 December 2023
1. Double integrals over rectangles (12.1)
2. Double integrals over general regions (12.2)
3. Double integrals in polar coordinates (12.3)