# Omar Abuzzahab

Department of Mathematics
University of Pennsylvania

Office: DRL 3W1
Email: omarab (a) math (dot) upenn (dot) edu
Office Hours: Tuesday: 11:30 am -12:30 pm, Thursday: 11:30 am - 12:30 pm, Friday 4:00 pm - 5:00 pm

### Class News

June 14th, 2011 - Exam 2 is on Monday June 20th and covers weeks 3 and 4 (parts of chapters 3, 7 and 4. See schedule at bottom of page).
June 7th, 2011 - My office has changed to room 3W1.
May 31st, 2011 - Exam 1 is on Monday June 6th and covers the first two weeks of material. (1.1-1.3, 2.1-2.5, and 3.1 to 3.5)
May 23rd, 2011 - Reminder that there is no class Monday 5/30 for Memorial Day.

### Homework

Assigned Reading: Every week you should be reading the sections in the book we are covering.

Homework 6 problems - no due date / not handed in, for preparation only

• Section 5.4 - 9, 14, 37, 45, 50, 53
• Section 5.5 - 7, 9, 11, 30, 44, 57, 65, 71, 73, 80
• Section 4.8 - 5, 27, 31
• Section 7.8 - 1, 3, 4, 15, 25, 31, 43, 47, 55

• Homework 5 problems, due Monday June 27th:

Assigned on Tuesday:
• Section 4.7 - 3, 12, 17, 28, 55
• Section 4.9 - 7, 13, 27, 46, 54, 61

• Note for Section 4.7 - you should also justify why the function has an absolute max or min.

Assigned on Wednesday:
• Section 5.1 - 3, 11
• Section 5.2 - 21 (use formulas on page 303), 33d), 37, 39, 47, 48

• Assigned on Thursday:
• Section 5.3 - 3, 11, 13, 27, 32, 70, 72, 74

• Solution Supplement for HW 5
Homework 4 problems, due Monday June 20th:

Assigned on Monday:
• Section 7.2 - 11, 39, 48, 49
• Section 7.3 - 10, 23, 24, 43
• Section 7.4 - 3, 6, 11 (note: simplify first!), 17, 25, 45 (see p. 417), 46
• Section 7.5 - 2, 3, 19 (see below for parts), 20

• Note for Section 7.5, number 19: only do part a, and only do annually, weekly and continuously

Assigned Tuesday:
• Section 7.6 - 3, 5, 8, 28, 29

• Assigned Wednesday:
• Section 4.1: 5, 22, 35, 50, 54
• Section 4.2: 5, 7, 17 (see below), 23, 34
• Section 4.3: 5, 8, 11, 13, 38, 51, 52

• Note for Section 4.2, number 17: Show this using the theorems, not by graphing

Assigned Thursday:
• Section 4.4: 3, 11, 18, 25, 29, 43 (also find the vertical asymptotes), 45
• Section 7.2: 24, 25, 29 (use the Squeeze theorem)
• Section 7.3: 45, 47, 50

• Solution Supplement for HW 4
Homework 3 problems, due Monday, June 13th:

Assigned on Tuesday:
• Section 3.6 - 5, 12, 17, 20, 27, 29, 39, 51

• Assigned on Wednesday:
• Section 3.8 - 5, 11, 17, 19, 24

• Assigned on Thursday:
• Section 3.9 - 23, 27, 33a) (see below), 34
• Section 7.1 - 20, 21, 34, 37, 41

• Note for Section 3.9, 33a): normally one writes surface area as a function of radius, here you need to figure out an expression for surface area as a function of circumference

Solution Supplement for HW 3
Homework 2 problems, due Monday, June 6th:

Assigned on Tuesday:
• 2.5 - 41, 47, 65
• 3.1 - 1, 3, 12, 17
• 3.2 - 1 b) and c) (see below), 3, 5, 23

• Instructions for 3.2, 1b) and c): carefully and neatly copy the graph of the function given. On your copy of the graph draw the tangent line at x=-2 and x=-1. Estimate f'(x) based on your drawing of the tangent lines by estimating the coordinates of two points on each tangent line and taking the slope.

Assigned on Wednesday:
• 3.1 - 11 (see below), 43, 45
• 3.2 - 39, 41, 49, 51, 53 a)

• Instructions for 3.1, 11: for part b) you can and should give a fully accurate graph, don't settle for a qualitative sketch.

Assigned on Thursday:
• 3.2 - 50, 51
• 3.3 - 1, 9, 17, 19, 23, 37, 61, 66
• 3.4 - 5, 9, 15, 33
• 3.5 - 11, 13, 31, 41, 53, 88

• Solution Supplement for HW 2
Homework 1 problems, due Tuesday, June 1st:

Assigned on Monday:
• 1.1 - 2, 28, 30, 44, 49, 61, 62, 68, 69
• 1.2 - 3 (no explanation), 4 (no explanation), 15
• 1.3 - 3 (no explanation), 6, 7, 33, 41-46, 50, 51
• Assigned on Tuesday:
• 2.1 - 3
• 2.2 - 9,25,26,28,29,32
• 2.3 - 1,13,17,21,25,29,48,51 (see example 10)
• Assigned on Wednesday:
• 2.4 - 1,3,19,20,23,24,25,39,42
• Assigned on Thursday:
• 2.4 - 31,36,44 a) and b) (you are to prove this using the "M-delta" definition)
• 2.5 - 4,6,9,17,18,27,29,35

• Solution Supplement for HW 1

### Course Information

#### Lecture

M T W Th 1:00 - 3:10 pm, DRL 4C8

#### Syllabus

Book: Caclulus 6th Ed. by Stewart. Material covered in this course, and rough schedule (updated as we go along):
Week1:
• 1.1-1.3
• 2.1-2.5
• Week 2:
• 2.5, 3.1-3.5
• Week 3:
• 3.6, 3.8, 3.9
• 7.1
• Week 4:
• 7.2 - 7.4, 7.5 (population and interest only), 7.6
• 4.1-4.4
• Week 5:
• 4.7, 4.9, 5.1 - 5.3
• Week 6:
• 5.4, 5.5, 7.8, 4.8
• Review

• 10% HW
• 25% first exam - Monday, June 6th
• 25% second exam - Monday, June 20th
• 40% final exam - Thursday, June 30th

• For exams you are allowed one single sided page of notes (a "cheat sheet"). For the final exam you are allowed a double sided page of notes. No books or calculators are allowed. Homework is graded on completion for most problems. Some selected problems are graded on correctness.