Last update: Sep 28, 2011
Textbook: Finney and Thomas: Calculus, 2nd edition.
Office hour: To be announced.

Course contents:
           Chap 2: Limits and continuity: 2.2-2.5.
           Chap 3: Derivatives: 3.1-3.2, 3.4-3.8
           Chap 4: Application of derivatives: 4.2-4.6
           Chap 5: Integration: 5.2-5.6 
           Chap 6: Transcendental Functions: 6.1-6.4, 6.6-6.10 
           Chap 7: Application of Integration: 7.1-7.4
           Chap 8: Techniques of Integration: 8.1-8.6

Grading: quiz (pick 5 best from 6) 40%, midterm 1, 2 and final, about 20% each. 

Week 01: (No recitation this week) 
 Tu: 09/13: 
 Tr: 09/15:   
2.2: Limits involving infinity.
2.3: Sandwich Theorem. 
2.4: Continuous functions.  
     Intermediate value Theorem and application to root finding.

Week 02: 
 Tu: 09/20: 
 We: 09/21: Recitation (on homework 01)
 Tr: 09/22: 
2.5: Formal definition of limits. 
3.1: Slopes and Derivatives.

Week 03: 
 Mn: 09/26: Recitation (on homework 02)
 Tu: 09/27:      
 Tr: 09/29: 
3.2: Differentiation Rules.
3.4: Derivative of trigonometric functions.
3.5: The Chain Rule.

Week 04:
 Mn: 10/03: quiz 1 (on hw 01 - hw 02) and Recitation (on hw 03)
 Tu: 10/04: 
 Tr: 10/06:  
3.6: Implicit Differentiation.
3.7: Linearization and differentials.
Extra on 3.7: Error estimate for linear approximations.
3.8: Newton's method. 

Week 05: 
 Tu: 10/11: 
 We: 10/12: Recitation (on homework 04) (Makeup for 10/10 Holiday).
 Tr: 10/13: 
4.2: Extreme values and critical points.
4.3: Graphing.

Week 06: 
 Mn: 10/17: quiz 2 --------------------(on homework 03 - homework 04) 
 Tu: 10/18: No class.
 We: 10/19: Recitation (on homework 05) 
 Tr: 10/20: No class. Additional review session if necessary.

Week 07:  (No recitation this week)
 Mn: 10/24: Midterm Exam 1 --------------------(on week 01 - week 05)
 Tu: 10/25: 
 Tr: 10/27:  
4.4: Graphing of rational functions.
4.5: Optimization.
4.6: Mean Value Theorem.

Week 08:
 Mn: 10/31: Recitation (on homework 07).
 Tu: 11/01:
 Tr: 11/13: 
5.1: Estimating with finite sums.
5.2: Riemann sums and definite integrals.
5.3: Mean value theorem for integrals.
5.4: Fundamental Theorem of Calculus.
5.5: Indefinite integrals.

Week 09:
 Mn: 11/07: Recitation (on homework 08)
 Tu: 11/08: 
 We: 11/09: quiz 3 --------------------(on homework 07 - homework 08) 
 Tr: 11/10: 
5.6: Integration by substitution.
6.1: Exponential function and its derivative.
6.2: Inverse functions and their derivatives.
6.3: Logarithmic function and its derivative.

Week 10:
 Mn: 11/14: Recitation (on homework 09)
 Tu: 11/15: 
 Tr: 11/17: 
6.4: Integration of logarithmic function.
6.6: L'Hopital's rule.
6.7: Big O and small o.

Week 11:
 Mn: 11/21: Recitation (on homework 10)
 Tu: 11/22:
 We: 11/23: quiz 4 --------------------(on homework 09 - homework 10) 
 Tr: 11/24: 
6.8: Inverse trigonometric functions and their derivatives.
6.9: Integration and derivatives of trigonometric functions.
6.10: Hyperbolic Functions.

Week 12:
 Mn: 11/28: Recitation (on homework 11)
 Tu: 11/29: No class 
 Tr: 12/01: No class. Additional review session if necessary.

Week 13: (No recitation this week)
 Mn: 12/05: Midterm Exam 2 -----------------------(week 07 - week 11)
 Tu: 12/06: 
 Tr: 12/08:      
6.11: First order differential equations.
7.1: Areas between curves.
7.2: Volumes of solids of revolution -- disks and Washers.

Week 14:
 Mn: 12/12: Recitation (on homework 13)
 Tu: 12/13:
 Tr: 12/15: 
7.3: Volumes of solids of revolution -- cylindrical shells.
7.4: Curve length and surface area.
8.1: Basic integration formulas.

Week 15:
 Mn: 12/19: Recitation (on homework 14)
 Tu: 12/20:
 We: 12/21: quiz 5 --------------------(on homework 13 - homework 14) 
 Tr: 12/22: 
8.2: Integration by parts.
8.3: Partial fractions.
8.4: Trigonometric substitution.

Week 16:
 Mn: 12/26: Recitation (on homework 15)
 Tu: 12/27: 
 Tr: 12/29:
8.5: Integral tables.
8.6: Improper integrals.

Week 17:
 Tu: 01/02: Recitation (on homework 16)
 Tu: 01/03: 
 We: 01/04: quiz 6 --------------------(on homework 15 - homework 16) 
 Tr: 01/05: No class. Additional review session if necessary.

Week 18: 
 We: 01/11: Final Exam ------------------(on week 13 - week 17)