Calculus B MAT 126 Spring Semester

  FINAL EXAM: Room Assignments

ELC 03 and Section 03: JAVITS 105.

Sections 04, 05 and 08: JAVITS 102.

Sections 01, 06 and 07: JAVITS 101.

NOTE THAT SECTION 02 WAS CANCELLED. IF YOU THOUGHT YOU WERE ENROLLED IN THIS SECTION, PLEASE GO TO THE UNDERGRADUATE OFFICE TO FIND OUT YOUR CURRENT SECTION.    

Preparation for Final:

The final is cumulative and consists of:

Chapter 5: Sections 5.1, 5.2, 5.3, 5.4, 5.5, 5.6, 5.7 and 5.9.

Chapter 6: Sections 6.1, 6.2 and 6.3.

As to Section 5.9, we do not need to memorize the formulas to estimate the errors of the various methods discussed in this section. The recommended preparation for the final is through the homeworks sheets and the two midterms. The list below contains the main topics for the exam (but it does not mean that the remainder topics are excluded).

1- Section 5.2: Riemann sums and their interpretations.

2- Evaluation of definite integrals by using Substitution Rule and Integration by Parts.

3- Sections 6.1 and 6.2 (Areas and Volumes).

At least 68% of the final is directly concerned with the three topics above.       Syllabus
1. Weeks from January 23 to February 6
   • Sections 5.1, 5.2, in particular:
   • Areas and Distances
   • The Definite Integral
2. Weeks from February 11 to February 20
   • Sections 5.2, 3.1, 3.2, 3.3, 3.7, 4.9, 5.3, in particular
   • Review of Derivatives
   • Evaluating Definite Integrals
3. Weeks from February 25 to March 06
   • Sections 5.4, 5.5, in particular
   • The Fundamental Theorem of Calculus
   • The Substitution Rule
4. Weeks from March 11 to March 20
   • Sections 5.6, 5.7, in particular
   • Integration by Parts
   • Additional Techniques of Integration
5. Weeks from March 25 to April 3
   • Sections 5.8, 5.9, in particular
   • Integration Using Tables
   • Approximate Integration
6. Weeks from April 8 to April 17
   • Sections 6.1, 6.2, in particular
   • More on Areas
   • Volumes
7. Weeks from April 22 to May 1
   • Sections 6.3, 6.4, 6.5, in particular
   • Arc Lenght
   • Average Value of Function
8. From May 6: REVIEW

Homework Assignment :

• Homework 1: Due in the week of Feb. 03 to 07
  • pg 355: 1, 3; pg 356: 14, 15; pg 367: 1, 6;
  • pg 368: 17, 21 and items (b) and (c) of 29.
• Homework 2: Due in the week of Feb. 10 to 14
  • pg 368: 20, 23; 26 (items (a), (b) and (c)), 34, 35, 36;
  • pg 197: 9, 10.
• Homework 3: Due in the week of Feb. 17 to 21
  • pg 197: 6, 8, 9;
  • pg 204: 4, 5, 15;
  • pg 215: 3, 4;
  • pg 216: 7 (items (a) and (b)).
• NO HOMEWORK in the week of Feb. 17 to 21; use the time to study for Midterm I.
• Homework 4: Due in the week of March 03 to 07
  • pg 233: 2, 3, 5, 6, 10, 20;
  • pg 377: 1, 4, 10, 12.
• Homework 5: Due in the week of March 10 to 14
  • pg 395: 2, 3, 5, 7, 8,
  • 14, 17, 21, 27, 31.
• Homework 6: Due in the week of March 24 to 28
  • pg 386: 12, 14;
  • pg 387: 17, 18;
  • pg 401: 2, 3, 8, 9, 16, 18.
• Homework 7: Due in the week of March 31 to April 04
  • pg 401: 22, 23, 25, 28;
  • pg 408; 12 (a) & (b), 15 (a) & (b), 17, 18.
• NO HOMEWORK in the week of April 07 to 11; use the time to study for Midterm II.
• Homework 8: Due in the week of April 14 to 18 (postponed to week of April 21 to 25).
  • pg 408: 29, 30, 31;
  • pg 425: 1, 2;
  • pg 426: 3, 15 (only (b) and (c)), 18.
• Homework 9: Due in the week of April 28 to May 2.
  • pg 426: 18;
  • pg 452: 9, 11, 15, 22;
  • pg 453: 33.
  • pg 463: 1, 2, 12, 13.
• Homework 10: Due in the week of May 4 to 9.
  • pg 463: 13, 14;
  • pg 464: 22, 23, 26;
  • pg 471: 1, 3, 4, 6.