Optional Quarter Test

The Optional Quarter Test will be after school on Tuesday. It is cumulative for the year which means it covers limits, derivative, applications of derivatives, the fundamental theorem of calculus and some antiderivatives/integrals. If nothing else, be able to write the tangent line to any function.

If you cannot take it after school on Tuesday, you must tell me and arrange when you will take it before that time.

Ch 6 - Differential Equations

Differential equations is a large topic in science and engineering. It comes up in many applications and you can take a whole semester course on it in college. We will be doing an intro that utilizes many of the skills that we have already learned, plus some new ones. We will be working to solve them three ways: Numerically, Graphically and Analytically.

As we go through the analytic methods there will be frequent (maybe daily) short quizzes to assess how you are doing on learning the analytic skills and when to apply them.

1/19  6.1  Numerical Solutions: Euler's Method
           HW p.328-330/41-48,53,68 also enter the Slope Field Program in your calculator
1/20  6.1  Graphical Solutions: Slope Fields
           HW p.328-330/25-40,49-51,59,61,62,67
1/21  Snow Day

1/25  6.1  Analytical Solutions: Antiderivatives (technique 1)
           HW p.327,330/1-23 odd,65,69,70
1/26  6.2  Integration by Substitution (analytic technique 2)
           HW p.338-340/18-66 by 3's,78,79,81
1/27  Snow Day
1/28  6.3  Integration by Parts (analytic technique 3)
           HW p.346/1-16

2/01  Early Release, half block class, Integration Quiz 2
2/02  Snow Day
2/03  Discuss substitution, Integration Quiz 3, start Mixed Integration handout
2/04  6.3  More Integration by Parts (repeated, circular, tricky)
           HW p.347-348/17-32,42,45,49

2/11  Mixed Integration handout due

Here are the solutions for the Chapter 6 questions.

Finishing Ch 5 and Second Term

We are back from vacation but in the middle of Ch 5. Here is the proposed syllabus for the rest of the chapter:

1/04 Review what we know so far.  CW p.293/4
         HW p.315-317/1-4,6-9,1,13,35-38,46
1/05 More with the Fundamental Theorem of Calculus (5.4)
         HW p.302-305/10,11,16,17,19,20,29-31,35,43,46,58-61,73,75
1/06 Trapezoidal Rule (5.5)
         HW p.312-314/1-9 odd,10-12,20,39
1/07 Simpson's Rule and Review
         HW finish handout

1/11 Review Day 1
         HW p.316-319/15-30 by 5's,33,54,56,58-60
1/12 Snow Day
1/13 Half-day, no class
1/14 Review Day 2 - Extension Problems
         HW finish handout solutions

1/17 Martin Luther King Day, no school
1/18 Test of Ch 5
1/21 End of Term 2