MATH 3B - Calculus with Applications II -  Spring 09

Syllabus:   syllabus
Homework:  Complete the assignments using  webwork  .

Announcements :

6/16: Out of 141 students, we have 2 A+, 26A, 7 A-, 24 B+, 14B, 11B-, 20C+, 20C, 17 D and F.
      Solution to final exam: version A  and version B   .

6/15: The average  grade is as folows,
         HW 8.96/10, Quiz 8.52/10, midterm I 62.45/75, exam II 55.53/70,   final 69.4/100, and the total grade is 78.334
         I'll be in my office, SH6501,  on Wednesday , June 17th between 10 and 12.
         You may stop by to check the grading of the tests.
         Or you can make appointment after the fall quarter starts.

4/18 : 1.  The midterm I will cover Smith Minton 4.1, 4.3-4.6, 5.1, 6.2.  
               You will be asked to show all the work and your reasoning on the exam.
               A full solution is wanted, not just the final answer.
               Answers without justification will get little or no partial credits.
          2.  Please bring your student ID or driver license (any photo ID) to exam.
          3.  No calculator or notecard in exam.
          4.  The practice exam is here  . (The solution will be posted later.)
4/20 :  1. Here is the solution  to the practice exam.
           2. The homework set "Area_Exercises"  is just for your own exercises.
               It does not count toward the homework grade.
           3. Besides regular office hours this week, I'll hold extra office hours on Thursday between 1:30 and 3  p.m.

 5/3:  Here is the solution to midterm I: version A  and version B  .

 5/9:  1. The midterm II will cover Smith Minton 4.4 (average value),  6.3, 6.4, and 5.2.
         2.  practice exam and the solution   .

 5/19:  Here is the solution to midterm II: version A  and version B  .

6/3   1. The Final exam is cumulative. It covers everything  (Check the teaching schedule below) except trignometric substitution.
            There are 7 problems. You will be asked to show all the work and your reasoning on the exam.
        2.  You should know the value of trignometric functions at special angle, like 0, pi/6, pi/4, pi/3, pi/2, pi.
        3.  Please bring your student ID or driver license (any photo ID) to exam.
        4.  No calculator or notecard in exam.
        5.  The practice exam is  here   .

6/5 solution    to practice final.

                        

                     Teaching  Schedule    ( subject to change )

                                 * denotes the corresponding section in Stewart.
Date
 Section
 Topics
3/30
 4.1    (*4.9)
  Antiderivatives
4/1
 4.3     (*5.1)
  Right/Left Endpoint Approximation ; Area; Riemann Sum
4/3
 4.4     (*5.2, 5.4)
  Definite Integral; Evaluation Theorem (Net Change Theorem)
4/6
 4.5     (*5.3)
  Evaluation Theorem; Fundamental Theorem of Calculus  part II
4/8
 4.5
 Fundamental Theorem of Calculus  part II
4/10
 4.6    (*5.5)
  Substitution
4/13
 4.6
  Substitution for definite integrals
4/15
 6.2   (*7.1)
  Integration by Parts
4/17
 5.1    (*6.1)
  Area between Curves
4/20
 4.4     (*6.5)
  Average Value ; Integral Mean Value Theorem
4/22
 Review
4/24
 Midterm I
4/27
 6.3    (*7.2)
  Trig. integrals: integrate powers of sine and cosine functions
4/29, 5/1
 6.3    (*7.3)
 Trig. Substitution
5/4, 5/6
 6.4    (*7.4)
 Partial Fractions:  Q(x)  distinct linear factors,
                                     repeated linear factors,
                                     quadratic factors
5/8
 5.2     (*6.2)
 Volume: solid of revolution (the method of disks, washers.)
5/11
Examples
5/13
Review
5/15
Midterm II
5/18
 5,3
 Cylindrical shells
5/20,5/22
 6.6      (*7.8)
 Improper integrals: infinite intervals and functions with infinite discontinuity
5/27
 6.6
 Improper integral: comparison test
5/29
 4.4 (8.1)
 Arc Length
6/1
 5.6 (6.4)
 Some application of Integrals on Physics: Displacement and Work.
6/3, 6/5
Review
6/11
Final Exam