Last update: Sep 17, 2012
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: 09/18: 
 Tr: 09/20:   
2.2: Limits involving infinity.
2.3: Sandwich Theorem. 
2.4: Continuous functions.  
     Intermediate value Theorem and application to root finding.

Week 02: 
 Tu: 09/25: 
 We: 09/25: Recitation (on homework 01)
 Tr: 09/27: 
2.5: Formal definition of limits. 
3.1: Slopes and Derivatives.

Week 03: 
 Tu: 10/02:      
 Tu: 10/02: Recitation (on homework 02)
 Tr: 10/04: quiz 1 ---------------- (on homework 01 - homework 02)
3.2: Differentiation Rules.
3.4: Derivative of trigonometric functions.
3.5: The Chain Rule.

Week 04:
 Tu: 10/09:
 Tu: 10/09: Recitation (on homework 03) 
 Tr: 10/11:  
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: 10/16: 
 Tu: 10/16: Recitation (on homework 04) 
 Tr: 10/18: quiz 2 ---------------- (on homework 03 - homework 04)
4.2: Extreme values and critical points.
4.3: Graphing.

Week 06: 
 Tu: 10/23: 
 Tu: 10/23: Recitation (on homework 05) 
 Tr: 10/25: Midterm Exam 1 --------------------(on week 01 - week 05)

Week 07:  (No recitation this week)
 Tu: 10/30: 
 Tr: 11/01:  
4.4: Graphing of rational functions.
4.5: Optimization.
4.6: Mean Value Theorem.

Week 08:
 Tu: 11/06:
 Tu: 11/06: Recitation (on homework 07).
 Tr: 11/08: 
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:
 Tu: 11/13: 
 Tu: 11/13: Recitation (on homework 08)
 Tr: 11/15: quiz 3 -------------------- (on homework 07 - homework 08) 
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:
 Tu: 11/20: 
 Tu: 11/20: Recitation (on homework 09)
 Tr: 11/22: 
6.4: Integration of logarithmic function.
6.6: L'Hopital's rule.
6.7: Big O and small o.

Week 11:
 Tu: 11/27:
 Tu: 11/27: Recitation (on homework 10)
 Tr: 11/29: quiz 4 --------------------(on homework 09 - homework 10) 
6.8: Inverse trigonometric functions and their derivatives.
6.9: Integration and derivatives of trigonometric functions.
6.10: Hyperbolic Functions.

Week 12:
 Tu: 12/04:
 Tu: 12/04: Recitation (on homework 11)
 Tr: 12/06: Midterm Exam 2 -----------------------(week 07 - week 11)

Week 13: (No recitation this week)
 Tu: 12/11: 
 Tu: 12/11: 
 Tr: 12/13:      
6.11: First order differential equations.
7.1: Areas between curves.
7.2: Volumes of solids of revolution -- disks and Washers.
7.3: Volumes of solids of revolution -- cylindrical shells.

Week 14:
 Tu: 12/18: Recitation (on homework 13)
 Tu: 12/18:
 Tr: 12/20: 
7.4: Curve length and surface area.
8.1: Basic integration formulas.

Week 15:
 Tu: 12/25: 
 Tu: 12/25: Recitation (on homework 14)
 Tr: 12/27: quiz 5 ----------------------(on homework 13 - homework 14) 
8.2: Integration by parts.
8.3: Partial fractions.

Week 16:
 Tu: 01/01: No class  
 Tu: 01/01: 
 Tr: 01/03:
8.4: Trigonometric substitution.
8.5: Integral tables.
8.6: Improper integrals.

Week 17:
 Tu: 01/08:
 Tu: 01/08: Recitation (on homework 16) + quiz 6 (on homework 15 - homework 16) 
 Tr: 01/10: 

Week 17:
Final Exam ------------------(on week 13 - week 16)