Last update: May 19, 2011
Textbook: Finney and Thomas: Calculus, 2nd edition.
            
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, midterm 2 and final, about 20% each. 

Week 01: (No recitation this week) 
 We: 02/23: ---------------------- first day of class. 
2.2: Limits involving infinity.
2.3: Sandwich Theorem. 

Week 02: 
 Mn: 02/28: ---------------------- Holiday, no class. 
 We: 03/02: 
2.4: Continuous functions.  
     Intermediate value Theorem and application to root finding.

Week 03: 
 Mn: 03/07: Recitation (on homework 01 and 02)
 Mn: 03/07:      
 We: 03/09:      
2.5: Formal definition of limits. 
3.1: Slopes and Derivatives.
3.2: Differentiation Rules.

Week 04:
 Mn: 03/14: Recitation (on homework 03)
 Mn: 03/14:  
 We: 03/16: quiz 1 --------------------(homework 01 - homework 03) 
3.4: Derivative of trigonometric functions.
3.5: The Chain Rule.

Week 05: 
 Mn: 03/21: Recitation (on homework 04)
 Mn: 03/21: 
 We: 03/23: 
3.6: Implicit Differentiation.
3.7: Linearization and differentials.
Extra on 3.7: Error estimate for linear approximations.
% 3.8: Newton's method (if time permits). 

Week 06: 
 Mn: 03/28: Recitation (on homework 05) 
 Mn: 03/28: 
 We: 03/30: quiz 2 --------------------(homework 04 - homework 05) 
4.2: Extreme values and critical points.
4.3: Graphing.

Week 07: 
 Mn: 04/04: ---------------------- Spring break, no class. 
 We: 04/06: ---------------------- Spring break, no class. 

Week 08:
 Mn: 04/11: Recitation (on homework 06)
 Mn: 04/11: 
 We: 04/13: Midterm Exam 1 ---------------------------------(week 01 - week 06)
4.4: Graphing of rational functions.

Week 09:
 Mn: 04/18: Recitation (on homework 08)
 Mn: 04/18: 
 We: 04/20:       ---------------------- class cancelled 
4.5: Optimization.
4.6: Mean Value Theorem.

Week 10:
 Mn: 04/25: Recitation (on homework 09)
 Mn: 04/25: 
 We: 04/27: quiz 3 --------------------(homework 08 - homework 09) 
5.2: Riemann sums and definite integrals.
5.3: Mean value theorem for integrals.
5.4: Fundamental Theorem of Calculus.

Week 11:
 Mn: 05/02: Recitation (on homework 10)
 Mn: 05/02: 
 We: 05/04:
5.5: Indefinite integrals.
5.6: Integration by substitution.
6.1: Exponential function and its derivative.
6.2: Inverse functions and their derivatives.

Week 12:
 Mn: 05/09: Recitation (on homework 11)
 Mn: 05/09: 
 We: 05/11: quiz 4 --------------------(homework 10 - homework 11) 
6.3: Logarithmic function and its derivative.
6.4: Integration of logarithmic function.
6.6: L'Hopital's rule.

Week 13:
 Mn: 05/16: Recitation (on homework 12)
 Mn: 05/16:
 We: 05/18: Midterm Exam 2 ---------------------------------(week 08 - week 12)
6.7: Big O and small o.
6.9: Integration and derivatives of trigonometric functions.

Week 14:
 Mn: 05/23: Recitation (on homework 13)
 Mn: 05/23: 
 We: 05/25:
6.9: Integration and derivatives of trigonometric functions (continue).
6.10: Hyperbolic functions (excluding the 'inverse hyperbolic function' part).
7.1: Areas between curves.
7.2: Volumes of solids of revolution -- disks and Washers.
7.3: Volumes of solids of revolution -- cylindrical shells.
7.4: Curve length and surface area.

Week 15:
 Mn: 05/30: Recitation (on homework 14)
 Mn: 05/30: 
 We: 06/01: quiz 5 --------------------(homework 13 - homework 14) 
8.1: Basic integration formulas.
8.2: Integration by parts.
8.3: Partial fractions.

Week 16:
 Mn: 06/06:  ---------------------- Holiday, no class. 
 We: 06/08: Recitation (on homework 15)
 We: 06/08: 
8.4: Trigonometric substitutions.

Week 17:
 Mn: 06/13: Recitation (on homework 16)
 Mn: 06/13: quiz 6 --------------------(homework 15 - homework 16) 
 We: 06/15: 
% 8.5: Integral tables. (if time permits)
8.6: Improper integrals.

Week 18: Mn: 06/20 or We 06/22: Final Exam ------------------(week 13 - week 17)