MATH 128: Calculus II for the Life, Social and Managerial Sciences (Fall 2010):


Instructor: Alvaro Pelayo, 212 Cupples I, apelayo@math.berkeley.edu

Course Assistant: Jasmine Ng, 6 Cupples I, ng@math.wustl.edu

Lectures: Monday, Wednesday, Friday 10-11am, Room 118 Brown I

Office hours: Monday 2-3:30pm, Friday 2:30-4pm at 212 Cupples I

Required Text: Larry Goldstein et al, "Calculus and Its Applications 12th edition", Pearson Prentice Hall.

Other text: Knut Sydsaeter and Peter Hammond, "Essential Mathematics for Economic Analysis"

Grading: Web homework (10%), qizzes given and graded by Ms. Ng (10%), Midterm Exam 1 on September 22, 2010 (15%), Midterm Exam 2 on October 20 (15%), Midterm Exam 3 on November 17 (15%) from 6:30-8:30pm and cumulative Final Exam (35%) on December 17 . Exams will consist of a few shorter questions (for example multiple choice questions), and some problems involving mostly computations. There will be no make-up exams. Excuses for missing a midterm exam are handled and approved centrally for all calculus courses by Prof. Blake Thornton (blake@math.wustl.edu) who should be contacted directly. If your final exam score is higher than your lowest midterm score, your lowest midterm score gets replaced by the score in the final. For example, if midterm 1 score is 75/100, midterm 2 score is 50/100, midterm 3 score is 85/100 and final score is 70/100, the score in midterm 2 get replaced by 70/100. If you choose to be graded "Pass/Fail", a "Pass" grade reqires a grade of C- or higher.

Webwork: usually assignments are due weekly (posted Monday mornings, due Thursdays before 9pm), with the exception of weeks 1, midterm exam weeks, and week 13. Solutions will be available on the Saturday of that week.

Prerequisites: Math 127 or equivalent.

Syllabus: (approximate) "Integration. Partial derivatives. Multiple integrals. Differential equations. Infinite series. Probability (time permitting)" - as in (parts of) chapters 6-12 of the book.

Tentative outline: there will be no time to cover all of the sections in each chapter of the book and not all sections will be covered in the same depth. Class time is for the fundamental concepts of each chapter. The book is a source for further explanations and examples. The following is the plan *subject to changes* (numbers refer to sections in the book); this plan will be updated as the course progresses. A simple scentific calculator may be used (programmable or graphying calculators, or calculators with ability to manipulate or simplify expressions should not be used).

Week 1:

Lecture 1 (Wed Sep 1): 6.1 (antidifferentiation)

Lecture 2 (Fr Sep 3): 6.2 (areas and Riemann sums)

Week 2:

Monday September 6 is a holiday

Lecture 3 (We Sep 8): 6.3 (definite integrals and fundamental theorem)

Lecture 4 (Fr Sep 10): 6.3 (continuation)

Week 3:

Lecture 5 (Mo Sep 13): 6.4 (areas in the xy plane)

Lecture 6 (We Sep 15): 6.5 (applications of the definite integral)

Deadline to drop a course with no permanent record notation September 15

Lecture 7 (Fr Sep 17): 7.1 (functions of several variables)

Week 4:

Lecture 8 (Mo Sep 20): 7.2 (partial derivatives)

Lecture 9 (We Sep 22): 7.2 (continuation)

Lecture 10 (Fr Sep 24): 7.3 (maxima and minima of functions of several variables)

Week 5:

Lecture 11 (Mo Sep 27): 7.3 (continuation)

Lecture 12 (We Sep 29): 7.3 (continuation)

Lecture 13 (Fr Oct 1): Correction of Midterm Exam 1 on the blackboard

Week 6:

Lecture 14 (Mo Oct 4): 7.4 (Lagrange multipliers)

Lecture 15 (We Oct 6): 7.6 (double integrals)

Lecture 16 (Fr Oct 8): 7.6 (continuation)

Week 7:

Lecture 17 (Mo Oct 11): 7.6 (continuation)

Lecture 18 (We Oct 13): 8.1 (angles), 8.2 (sine and cosine)

Friday Oct 15 is a holiday

Week 8:

Lecture 19 (Mo Oct 18): 8.3 (differentiation and integration of sine and cosine functions)

Lecture 20 (We Oct 20): 8.4 (tangent and other trigonometric functions)

Lecture 21 (Fr Oct 22): Correction of Midterm Exam 2 on the blackboard

Week 9:

Lecture 22 (Mo Oct 25): 9.1 (integration by sustitution)

Lecture 23 (We Oct 27): 9.2 (integration by parts)

Lecture 24 (Fr Oct 29): 9.2 (integration by parts)

Week 10:

Lecture 25 (Mo Nov 1): 9.3 (evaluation of definite integrals)

Lecture 26 (We Nov 3): 9.5 (applications of the integral, possible student presentation)

Lecture 27 (Fr Nov 5): 10.1 (solutions of differential equations)

Week 11:

Lecture 28 (Mo Nov 8): 10.1 (solutions of differential equations)

Lecture 29 (We Nov 10): 10.2 (method of separation of variables)

Lecture 30 (Fr Nov 12): 10.2 (continuation)

Week 12:

Lecture 31 (Mo Nov 15): 10.3 (first order linear differential equations)

Lecture 32 (We Nov 17): 10.3 (continuation)

Lecture 33 (Fr Nov 19): Correction of Midterm Exam 3 on the blackboard

Week 13:

Lecture 34 (Mo Nov 22): 11.1 (Taylor polynomials)

Wednesday Nov 24 is a holiday

Friday Nov 26 is a holiday

Week 14:

Lecture 35 (Mo Nov 29): 11.1 (continuation)

Lecture 36 (We Dec 1): 11.3 (infinite series)

Lecture 37 (Fr Dec 3): 11.3 (infinite series)

Week 15:

Lecture 38 (Mo Dec 6): 12.1 (discrete random variables)

Lecture 39 (We Dec 8): 12.2 (continuous random variables)

Lecture 40 (Fr Dec 10): 12.2 (continuation), 12.3 (expected value and variance)

Final Exam December 17.