Teaching.

Math 200 - section 103: Calculus III.

Lectures:
Mon Wed Fri 11:00 - 12:00; Buchanan A102.

Office hours:
Tue Thu 12:00 - 13:30; Math Annex 1103 .

Text book:
James Stewart: "Early Transcendentals, Multivariable Calculus" Edition 6e.
(Other versions may have different section numbers, but material and questions are similar in each edition for the same section title).

Tutorial Hours:
to be listed at the Math Dep Web Site .

Course outline:
1. Vectors, quadratic surfaces (Sections 13.1-13.6, 11.1, 11.3, 11.5)
2. Partial derivatives, increments, chain rule (Sections 15.1-15.5)
3. Directional derivative and Gradients (Section 15.6)
4. Max/min, Lagrange multipliers (Sections 12.10, 12.11, 15.7, 15.8)
5. Double integrals (Sections 16.1-16.5)
6. Triple integrals (Sections 16.7-16.9)

Grading:
-50% midterms: 4 Term Exams of 50 min; no calculators, books or formula sheets are allowed. Dates: September, 19th (Fri), October, 8th (Wed), October, 27th (Mon), November, 14th (Fri); students who observe religious holidays on test dates must let me know immediately during the first week of class. The best three out of four Term Exams (with 0 for a missed exam) will count for 50% of the course grade. This provision is intended to cover minor illnesses or other obligations. Accommodation for absence due to more serious illnesses requires documentation. No make-up exams will be given.
-50% final: final exam (common to all the sections) of 2.5 hour in December; no calculators, books or formula sheets are allowed.

The instructor reserves the right to revise or round off grades if circumstances warrant. In order to make course grade standards consistent across sections this raw final grade will be scaled.

Homework:
Homework will not be handed in. You are strongly advised to work out the problems that are posted in the table below.

Further informations:
See the web-page of section 105.

15.1, 15.5

Lectures
date	sections	details	lecture notes	suggested problems
Wed 3 Sep	/	review on differentiation and integration in one dimension;	ln1.pdf	hw1.pdf
Fri 5 Sep	13.1, 13.2	coordinate systems, intro to vectors;	ln2.pdf	hw2.pdf
Mon 8 Sep	/	polar form for 2D and 3D vectors	ln3.pdf	hw3.pdf
Wed 10 Sep	13.3, 13.4	dot and cross products: definitions	ln4.pdf	hw4.pdf
Fri 12 Sep	13.3, 13.4, 13.5	dot and cross products: applications	ln5.pdf	hw5.pdf Midterm sample
Mon 15 Sep	13.5	equation of a line	ln6.pdf	hw6.pdf
Wed 17 Sep	11.5, 13.6	conic sections, quadratic surfaces	ln7.pdf	hw7.pdf
Fri 19 Sep	13.1, 13.2, 13.3, 13.4, 13.5	First Midterm		solutions
Mon 22 Sep	15.1, 15.3, 15.4	partial derivatives, tangent plane	ln8.pdf	hw8.pdf
Wed 24 Sep	15.3	higher order partial derivatives, partial differential equations, Taylor expansion in 1 dimension	ln9.pdf	hw9.pdf
Fri 26 Sep	15.1, 15.4	Linear approximation	ln10.pdf	hw10.pdf
Mon 29 Sep	Chain rule	ln11.pdf	hw11.pdf
Wed 1 Oct	15.5	Chain rule	ln12.pdf	hw12.pdf Midterm sample
Fri 3 Oct	15.6	Directional derivative	ln13.pdf	hw13.pdf
Mon 6 Oct		Examples for the midterm.	ln14.pdf
Wed 8 Oct		Second Midterm		solutions
Wed 10 Oct		Review on chain rule and directional derivative	ln15.pdf
Wed 15 Oct	15.6	Geometrical meaning of the directional derivative and of the gradient.	ln16.pdf	hw16.pdf
Fri 17 Oct	15.6	Example of partial derivatives	ln17.pdf	hw17.pdf
Mon 20 Oct	15.6, 15.17	More about gradient. Maxima, minima and saddle points.	ln18.pdf	hw18.pdf Midterm sample
Wed 22 Oct	15.7	General rule for max and min.	ln19.pdf	hw19.pdf
Fri 24 Oct	15.7	Example of max. and min.	ln20.pdf
Mon 27 Oct	15.5, 15.6, 15.7	Third Midterm		solutions
Mon 29 Oct	15.7, 15.8	Absolute min and max. Lagrange multipliers.	ln21.pdf
Fri 31 Oct	15.8	Examples on Lagrange Multipliers.	ln22.pdf	hw22.pdf
Mon 3 Nov	15.8	Other examples on Min and Max with constraint.	ln23.pdf
Wed 5 Nov	15.8, 16.1	Max and Min with multiple constraints. Double integralas	ln24.pdf
Fri 7 Nov	16.2, 16.3	Fubini's theorem.	ln25.pdf	hw25.pdf
Mon 10 Nov	16.3	Example of double integrals	ln26.pdf	Midterm sample
Wed 12 Nov	16.3	Example of double integrals	ln27.pdf
Fri 14 Nov	15.8, 16.1, 16.2, 16.3	Fourth Midterm		solutions
Mon 17 Nov	16.4	Double integrals with polar coordinates	ln28.pdf	hw28.pdf
Wed 19 Nov	16.4	Double integrals.	ln29.pdf
Fri 21 Nov	16.6	Triple Integrals	ln30.pdf	hw30.pdf
Mon 24 Nov	16.7	Cylindrical coordinates	ln31.pdf	hw31.pdf
Wed 26 Nov	16.8	Spherical coordinates	ln32.pdf	hw32.pdf
Fri 28 Nov	16.5, 16.6, 16.7, 16.8	Applications of double and triple integrals	ln33.pdf	hw33.pdf