Math 131/02 - Calculus I - Course Outline (Fall, 2009)

This is a tentative outline for the course and will be updated weekly.

 

Hour Exams (all are on Tuesday):

September 16, October 9, November 3, and December 4
 

Date

Topic/Section

Aug 26 

 

Course Syllabus

 

Review Notes  on polynomials and special functions 

 

   Print a copy of Review Notes

 

Survey (extra 5pts)

 

Homework  1     Solutions

 

Aug 28

 

The Concept of Limit/(1.2)

 

Lecture Notes   Print a copy of Notes

   

Homework  2    Solutions

 

 

 

Aug 31

 

The Concept of Limit/(1.2) 

 

Quiz 1   Solutions

  

Sept 1

 

Last Day

To Drop

A Class

 

Computation of Limit/(1.3)

 

Lecture Notes      Print a copy of Notes 

 

Homework 3     Solutions

  

Sept 2

Computation of Limit/(1.3)

 

Quiz 2      Solutions

 

Sept 4

 

Continuity and its Consequences/(1.4)

 

Lecture Notes     Print a copy

 

Homework 4   Solutions

 

 

 

Sept 7

Continuity and its Consequences/(1.4)

 

Quiz 3      Solutions

 

Sept 8

Limits Involving Infinity/(1.5)

 

Lecture Notes     Print a copy

 

Homework 5     Solutions

  

Sept 9

Limits Involving Infinity/(1.5)

 

Quiz 4     Solutions

 

Sept 11

Limits Involving Infinity/(1.5)

 

Homework 6    Solutions

 

 

 

Sept 14

Tangent Lines and Velocity/(2.1)

 

Lecture Notes     Print a copy

 

Homework 7    Solutions

 

Quiz 5     Solutions

 

Sept 15

Review for Hour Exam 1

 

Review notes

 

Sept 16

Hour Exam 1       Solutions

 

Sept 18

The Derivatives/(2.2)

 

Lecture Notes     Print a copy

 

Homework 8   Solutions

 

 

 

Sept 21

Computation of Derivatives: Power Rule/(2.3)

 

Lecture Notes   Print a copy

 

Quiz 6    Solutions

 

Sept 22

Computation of Derivatives: Product Rule and Quotient/(2.4)

 

Lecture Notes     Print a copy

 

Homework 9     Solutions

  

Sept 23

Product Rule and Quotient/(2.4)

 

Quiz 7    Solutions

 

Sept 25

The Chain Rule/(2.5)

 

Lecture Notes      Print a copy

 

Homework 10     Solutions

 

 

 

Sept 28

The Chain Rule/(2.5)

 

Quiz 10    Solutions

 

Sept 29

Derivatives of Trigonometric Functions/(2.6)

 

Lecture Notes      Print a copy

 

Homework 11  Solutions

  

Sept 30

Derivatives of Exponential and Logarithmic Functions/(2.7)

 

Lecture Notes      Print a copy

 

Quiz 11    Solutions

 

Oct 2

Derivatives of Exponential and Logarithmic Functions/(2.7)

 

Homework 12    Solutions

 

 

 

Oct 5

Implicit Differentiation/(2.8)

 

Lecture Notes      Print a copy  

   

Quiz 12    Solutions

 

Oct 6

Implicit Differentiation/(2.8)

 

Homework 13     Solutions

 

Oct 7

Review for Hour Exam 2

 

Review Materials

 

 

Oct 9

 

Hour Exam 2

 

 

Oct 12

Implicit Differentiation/(2.8)

 

Oct 13

 

Mid-term

Grade Period

Ends

Derivatives of Inverse Trigonometric Functions/(0.4)(2.8)

Lecture Notes      Print a copy

 

Homework 14    Solutions

  

Oct 14

The Mean-Value Theorem/(2.9)

 

Lecture Notes     Print a copy  

 

Quiz 13   Solutions

 

Oct 16

Linear Approximations/(3.1)

Lecture Notes    Print a copy

 

Homework 15       Solutions

 

 

 

Oct 19

Indeterminate Forms and L’Hopital’s Rule/(3.2)

 

Lecture Notes   Print a copy

 

Quiz 14    Solutions    

  

Oct 20

 

Last Day to

Withdraw

With “W”

 

Critical Numbers, and Maximum and Minimum Values/(3.3)

 

Lecture Notes   Print a copy

 

Homework 16     Solutions

  

Oct 21

Critical Numbers, and Maximum and Minimum Values/(3.3)

 

Quiz 15    Solutions     

  

Oct 23

 

Open House

For Parents

Increasing and Decreasing Functions/(3.4)

 

Lecture Notes   Print a copy

 

Homework 17     Solutions

  

 

 

Oct 26

Concavity /(3.5)

 

Lecture Notes   Print a copy

 

Quiz 16    Solutions     

 

 

Oct 27

 

Concavity /(3.5)

 

Homework 18    Solutions

 

Oct 28

Curve Sketching/(3.6)

 

Lecture Notes   Print a copy

 

Quiz 17    Solutions     

 

Oct 30

Curve Sketching/(3.6)

 

Homework 19    Solutions

 

 

 

Nov 2

Review for Hour Exam 3

 

Review Sheet

 

Nov 3

 

Hour Exam 3       Solutions

Nov 4

Optimizations /(3.7)

 

Lecture Notes   Print a copy

 

Homework 20    Solutions

 

Nov 6

 

Homecoming

Optimizations /(3.7)

 

 

Nov 9

 

Advising for

Pre-registration

Related Rates/(3.8)

 

Lecture Notes   Print a copy

 

Quiz 18   Solutions

 

Nov 10

 

Antiderivatives/(4.1)

 

Lecture Notes   Print a copy

 

Homework 21   Solutions

Nov 11

 

Anti-differentiation with substitution

 

Quiz 19   Solutions

 

 

Nov 13

Sums and Sigma Notations/(4.2)

 

Lecture Notes   Print a copy

 

Homework 22     Solutions

 

 

Nov 16

 

Pre-registration

 

Area/(4.3)

 

Lecture Notes   Print a copy

 

Quiz 20   Solutions

 

Nov 17

 

Area/(4.3)

 

Homework 23     Solutions

 

Nov 18

 

Definite Integrals/(4.4) 

 

Lecture Notes   Print a copy

 

Quiz 21   Solutions

 

Nov 20

 

Fundamental Theorem of Calculus/(4.5)

 

Lecture Notes   Print a copy

 

Homework 24     Solutions

 

 

 

Nov 21-29

Thanksgiving Break!

 

 

Nov 30

Integration by Substitution (4.6)

 

Lecture Notes   Print a copy

 

Quiz 22   Solutions

 

Dec 1

Integration by Substitution (4.6)

 

Homework 25     Solutions

 

Dec 2

 

Review for Hour Exam 4

 

Review Sheet

 

Dec 4

Hour Exam 4      Solutions

 

 

Dec 7

Review for the Final Exam

 

Review materials

 

Dec 8

 

Last Day of

Classes

Review for the Final Exam

 

 

Dec 10

 

Final Exam:
8:00am – 11:00am or 1:00pm - 4:00pm

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