Class recap and Tentative schedule (subject to change)

Date

Summary

Note

Thursday, August 14

Limits and continuity

Homework 2.1

Monday, August 18

No class

National science day

Thursday, August 21

Derivatives (limit definition and short-cuts) and high-order derivatives

Quiz 3.3
Homework 3.3

Monday, August 25

Meaning of derivatives
Derivatives of Trigonometric Functions

Quiz 3.5
In-class exercises

Thursday, August 28

Chain rule

In-class exercises

Monday, September 1

Implicit differentiation

Homework 3.7

Thursday, September 4

Inverse function, Logarithms

 

Monday, September 8

General exponential and logarithm

Quiz 3.8

Thursday, September 11

Inverse trig, Related rates Handout

Homework 3.9-10

Monday, September 15

Linearization, differential

 

Thursday, September 18

Extreme value

 

Monday, September 22

Mean value theorem, Indeterminate forms

Homework 4.5

Thursday, September 25

L’Hôpital’s Rule

 

Monday, September 29

Newton method, Taylor series

 

Thursday, October 2

Midterm review

 

Monday, October 6

Midterm week

Thursday, October 9

Midterm week

Saturday, October 11

Midterm 12-3 PM at RB 5401

 

Monday, October 13

Indefinite integrals

 

Thursday, October 16

Integration by substitutions

Homework 5.5

Monday, October 20

Riemann sum and area under a curve

Homework 5.1-5.2

Thursday, October 23

No class

 

Monday, October 27

-The first fundamental theorem of calculus    

-Properties of definite integral

-Mean-value theorem
-The second fundamental theorem of calculus

Homework 5.3-5.4

Thursday, October 30

Areas between curves

Homework 5.6

Monday, November 3

Volume of solids of revolution

Homework 6.1

Thursday, November 6

Arc length of plane curves

Homework 6.2-6.3

Monday, November 10

Integration by parts

Homework 8.1

Correction

Thursday, November 13

Integration of trigonometric functions

Homework 8.2

Monday, November 17

Integration by trigonometric substitutions

Homework 8.3

Thursday, November 20

Integration by partial fractions

Homework 8.4

Monday, November 24

Numerical integration

 

Thursday, November 27

-Definition and examples of improper integrals
-Gamma function, Beta function, and Laplace transformation

 

Monday, December 3

Final week

 

Thursday, December 6

Final week

 

Tuesday, December 9

Final exam

 

 

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