Math 16B (Short Calculus) Instructor: William Breslin Lecture: MWF

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Math 16B (Short Calculus)

Instructor: William Breslin

Lecture: MWF 11:00am - 11:50am in Chem 179

Office: Math Sciences Building 2214

Office hours: MWF 1:00pm-2:00pm email: breslin@math.ucdavis.edu

Course website: http://www.math.ucdavis.edu/

∼ breslin/16Bw08.html

Text: Calculus: An Applied Approach (7th ed.), Larson and Edwards

Sections covered: 4.1-4.6 , 5.1-5.6 , 6.1-6.6 , 9.1-9.3 (see page 2 for details)

Homework: Homework will be assigned throughout the week and collected on Fridays. When submitting homework, please fold your paper lengthwise and make sure that your name is visible. Please remove any fringes from the edge of spiral bound notebook paper. Late homework assignments will NOT be accepted. The two lowest homework scores will be dropped.

Grading: Grades will be based on Homework (20% ), Midterm 1 (25%),

Midterm (25% ), and Final (30% ).

Exams: There will be two midterm exams and a final exam. The coverage of the midterms and final will be discussed in class. Calculators are NOT allowed for exams. The tentative dates for the midterms are the following:

Midterm 1: Friday February 1, 2008

Midterm 2: Friday February 22, 2008

The final will be held on Friday March 21, 2008

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Topics covered

Exponential and logarithmic functions and their derivatives

4.1-4.3: Exponential functions and their derivatives

4.4 : Logarithmic functions

4.5 : Derivatives of logarithmic functions

4.6 : Exponential growth and decay

Introduction to Integration

5.1 : Antiderivatives and indefinite integrals

5.2 : The General Power Rule

5.3 : Exponential and logarithmic integrals

5.4 : Definite integrals and the Fundamental Theorem of Calculus

5.5 : Area of a region

5.7 : Volumes of solids of revolution (disc/washer method)

Techniques of integration

6.1 : Integration by substitution

6.2 : Integration by parts

6.3 : Partial fractions

6.4 : Integration tables and completing the square

6.5 : The trapezoidal rule and Simpsons rule

6.6 : Improper integrals

Introduction to Probability Theory

9.1 : Discrete probability

9.2 : Continuous random variables

9.3 : Mean and median; variance and standard deviation; uniform, normal, and exponential probability density functions

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