Mathematics 2A: Single-Variable Calculus, Fall 2007
Administrative Information
(Add ``@math.uci.edu'' to all emails below.)
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Instructor
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Teaching Assistant
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Teaching Assistant
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Alex Sadovsky
(email: sadovsky)
Instruction Schedule: MWF 4:00p -4:50p
Instruction Location: RH 101
Office: RH 421
Office Hours: MW 3-3:50
Office Phone Number: x 4-5548
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May Mei
(email: mmei)
Instruction Schedule: Th 2:00- 2:50p
Instruction Location: SSTR 103T
Office: RH 596
Office Hours: Tu 2:00- 2:50p
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May Mei (email: mmei)
Instruction Schedule: Th 11:00-11:50
Instruction Location: ICF 103
Office: RH 596
Office Hours: Tu 11:00-11:50
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Syllabus
(last updated: 09/28/07)
Summer Sessions Academic Calendar (Add/Drop Deadlines, etc..)
UCI Academic Senate Policy on Academic Honesty
Announcements (updated throughout the term)
- Midterm #1 will be given Oct 26 (Fri), lecture time and place.
- Quizzes must be taken in the discussion you are enrolled in.
- There is no quiz the week of the midterm.
- (!!!Updated Nov 5!!!) Midterm #2 will be given Nov 19 (Mon), lecture time and place.
- MT1 stats:
- Mean: 64.00
- Std. Dev.: 18.91
- Median: 66.00
- Maximum: 106.00
- Minimum: 0.00
- MT2 stats:
- Mean: 73.83
- Std. Dev.: 16.50
- Median: 73.00
- Maximum: 111.00
- Minimum: 34.00
- Solutions to problem #1 of MT2 (scanned by Jeff Heckathorn)
Prerequisites
The official UCI prerequisites for Math 2A are 1) a passing score on the Pre-Calculus Placement Exam within one year or 2) a grade of C or better in Math 1B at UCI. See the the Syllabus and online Schedule of Classes for details. You might also consider taking the online placement test.
To help you assess and, if necessary, improve your level of preparation for Math 2A, McGraw-Hill is providing you (as part of adoptions for UCI) with free acess to ALEKS, an Artificial Intelligence program designed to interactively test you and teach you the prerequisite math you need for Math 2A. Use of ALEKS is not a requirement for this course. If you want to use it for your own assessment and learning, see the ALEKS documentation.
Course Materials
- Required Text: R. Smith & R. Minton, ``Single Variable Calculus,'' 3rd Edition
- Lecture Calendar
(
PostScript
,
PDF
), last updated: 09/25/07
- Notes for some of the lectures, in PDF, provided if time permits. The notes are given by lecture number. To determine the date of a lecture with a given number, please refer to the Lecture Calendar.
- Lecture 1
- Lecture 2
- Lecture 3
- (Lecture 4 was a problem-solving session on HW1. See the approach outlined here.)
- Lecture 5
- Lecture 6
- Lecture 7 (updated Oct. 14)
- Lecture 8
- Lecture 9
- Lecture 10, definitions and notation only
- Lecture 11, partial notes
- Lecture 12:
- Power Rule (differentiation of x^n): applies only to powers of the argument!!!
(E.g., f(x)=2^x is NOT a power of the argument.)
- L'Hopital's Rule
- Lecture 13: Midterm 1
- Lecture 14: Implicit Differentiation (S&M, section 2.7) and Related Rates (S&M, section 3.7, example 7.2)
- (Lecture 15 was spent solving Midterm 1.)
- Lecture 16: Critical Points
- Lecture 17: 1st Derivative Analysis of Critical Points: RCIT, Rolle's Theorem, Mean Value Theorem, and their consequences
- Lecture 18: 2nd Derivative Analysis of Critical Points
- (Lecture 19 was spent solving Homework problems.)
- (Lecture 20 was spent solving Optimization problems.)
- Lecture 21: Definite Integration, Part I: Upper and Lower Riemann Sums
- Lecture 22: Midterm 2
- (No Lecture 23: Thanksgiving)
- Lecture 24: Antiderivatives (S&M, section 4.1)
- Lecture 25: General Riemann sums used to approximate integrals; Additivity and "<=" properties of integrals
- Notes for the above Lectures on Integration (21, 24, 25), courtesy of Annabelle Lee (taking notes) and Jeff Heckathorn (scanning)
- Homework Assignments
Tutoring Resources
Miscellaneous