Syllabus for Math 11b Calculus with Applications II, Spring 2006

MATH 11B CALENDAR (this version: March 16th 2007) Of course, the Instructor (me) retains the right to alter things. mess with this calendar and completely rearrange things at will!
NOTES: Read the sections from the book that are to be covered in lecture before you come to class. The material that you have learned in Math11A will be frequently used in this class, and it is assumed you have mastered it. In particular, basic algebraic operations, limits, continuity and derivatives will appear throughout the course.
`Date`	Topics	Reading	Tests & Deadlines
Part I: INTEGRATION
`Wed Apr 4 (Week 1: Lecture 1)`	Syllabus and intro Antiderivatives	Chap. 5.8-6.1.1
`Fri Apr 6 (Week 1: Lecture 2)`	Definite Integrals The Area Problem; Riemann Integrals	Chap. 6.1.1-6.1.2
`Mon Apr 9 (Week 2: Lecture 3)`	Properties of Riemann Integrals	Chap. 6.1.3	Hwk#1 due
`Wed Apr 11 (Week 2: Lecture 4)`	The Fundamental Theorem of Calculus FTC (Part I)	Chap. 6.2.1
`Fri Apr 13 (Week 2: Lecture 5)`	Antiderivatives and Indefinite Integrals; FTC (Part II)	Chap. 6.2.2-6.2.3
`Mon Apr 16 (Week 3: Lecture 6)`	Applications of integration Areas	Chap. 6.3.1	Hwk#2 due
`Wed Apr 18 (Week 3: Lecture 7)`	Cumulative change; Average Values	Chap. 6.3.2-6.3.3
`Fri Apr 20 (Week 3: Lecture 8)`	Rectification of Curves	Chap. 6.3.5
`Mon Apr 23 (Week 4: Lecture 9)`	Review		Hwk#3 due
End Part I
Wed April 25 (Week 4: Lecture 10)	Midterm 1
Part II: INTEGRATION TECHNIQUES
`Fri Apr 27 (Week 4: Lecture 11)`	Substitution Rule Indefinite Integrals; Definite Integrals	Chap. 7.1.1-7.1.2
`Mon Apr 30 (Week 5: Lecture 12)`	Integration by Parts	Chap. 7.2	Hwk#4 due
`Wed May 2 (Week 5: Lecture 13)`	Practicing Integration and Partial Fractions Practicing Integration; Rational Functions and Partial Fractions	Chap. 7.3.1-7.3.2
`Fri May 4 (Week 5: Lecture 14)`	Improper Integrals Type 1: Unbounded interval	Chap. 7.4.1
`Mon May 7 (Week 6: Lecture 15)`	Type 2: Unbounded Integrand; A Comparison Results for Improper Integrals	Chap. 7.4.2-7.4.3	Hwk#5 due
`Wed May 9 (Week 6: Lecture 16)`	Table of Integrals	Chap. 7.6
`Fri May 11 (Week 6: Lecture 17)`	Taylor Approximation Taylor Polynomials; Taylor Polynomial About x=a; How Accurate si the Approximation?	Chap. 7.7.1-7.7.3
`Mon May 14 (Week 7: Lecture 18)`	Review		Hwk#6 due
End Part II
Wed May 16 (Week 7: Lecture 19)	Midterm 2
Part III: DIFFERENTIAL EQUATIONS
`Fri May 18 (Week 7: Lecture 20)`	Solving Differential Equations Pure Time DEs	Chap. 8.1.1
`Mon May 21 (Week 8: Lecture 21)`	Autonomous DEs; Allometric Growth	Chap. 8.1.2-8.1.3	Hwk#7 due
`Wed May 23 (Week 8: Lecture 22)`	Equilibria and stability A First Look at Stability	Chap. 8.2.1
`Fri May 25 (Week 8: Lecture 23)`	Single Compartment or Pool;Levins Model	Chap. 8.2.2-8.2.3
`Mon May 28 (Week 9: HOLIDAY)`	HOLIDAY! WAHOO!	HOLIDAY!
`Wed May 30 (Week 9: Lecture 24)`	Allee Effect	Chap. 8.2.4	Hwk#8 due
`Fri Jun 1 (Week 9: Lecture 25)`	Systems of Autonomous Equations A Simple Epidemic Model; A Compartment Model	Chap. 8.3.1-8.3.2
`Mon Jun 3 (Week 10: Lecture 26)`	A Hierarchical Competition Model	Chap. 8.3.1-8.3.2	Hwk#9 due
`Wed Jun 5 (Week 10: Lecture 27)`	Review
End Part III
Tue June 12	Final	12:00pm - 3:00pm

MATH 11B CALENDAR

NOTES:

Part I: INTEGRATION

Midterm 1

Part II: INTEGRATION TECHNIQUES

Midterm 2

Part III: DIFFERENTIAL EQUATIONS

Final