Omar Abuzzahab

Department of Mathematics
University of Pennsylvania
Philadelphia, PA 19104-6395

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

Main Page > Summer 2011 - Math 103 Introduction to Calculus

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

    • Grading:



    Your final grade is calculated as such:
  • 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.

    Advice:

  • Show up and take notes
  • Ask questions (in class and office hours)
  • Read the book
  • Do your homework

    • There are Math Help Sessions directed by Charles Siegel being held Monday through Thursday from 9am to 1pm in 4C8 DRL. You might also look at other help resources listed here.