Last update: Jan 06, 2014
Textbook: Thomas, Weir and Hass: Thomas's Calculus Early Transcendental, 
12th edition.

Course contents:
       Chap 2: Limits and continuity: 2.2-2.6
       Chap 3: Differentiation: 3.1-3.3, 3.5-3.9, 3.11
       Chap 4: Application of derivatives: 4.1-4.8
       Chap 5: Integration: 5.2-5.6 
       Chap 6: Application of Definite Integrals: 6.1-6.4
       Chap 7: Integrals of Transcendental Functions: 7.2-7.4
       Chap 8: Techniques of Integration: 8.1-8.4, 8.7
       Chap 9: First-Order Differential Equations: 9.2

Grading: quiz (pick n-2 best from n) 40%, midterm 1,2 and final, about 20% each. 
Week 01: (No recitation this week) 
 Tu: 09/17: 
 Tr: 09/19: Holiday. ------------------ No class.   
2.2: Limit of a Function and Limit Laws
2.3: The Precise Definition of a Limit

Week 02: 
 Mn: 09/23: Recitation (on homework 01)
 Tu: 09/24: 
 Tr: 09/26: 
2.4: One-Sided Limits
2.5: Continuity
2.6: Limits Involving Infinity; Asymptotes of Graphs

Week 03: 
 Mn: 09/30: Recitation (on homework 02)
 Tu: 10/01:      
 Tr: 10/03: quiz 1 --------------------(on homework 01 - homework 02) 
% 3.1: Tangents and the Derivative at a Point
3.2: The Derivative as a Function
3.3: Differentiation Rules
3.5: Derivatives of Trigonometric Functions

Week 04:
 Mn: 10/07: Recitation (on homework 03)
 Tu: 10/08: 
 Tr: 10/10:  Holiday. ------------------ No class.  
3.6: The Chain Rule.
3.7: Implicit Differentiation

Week 05: 
 Mn: 10/14: Recitation (on homework 04) 
 Tu: 10/15: 
 Tr: 10/17: quiz 2 --------------------(on homework 03 - homework 04) 
3.8: Derivatives of Inverse Functions and Logarithms
3.9: Inverse Trigonometric Functions

Week 06: 
 Mn: 10/21: Recitation (on homework 05) 
 Tu: 10/22: 
 Tr: 10/24: 
3.11: Linearization and differentials
4.1: Extreme Values of Functions

Week 07:  
 Mn: 10/28: Recitation (on homework 06) 
 Tu: 10/29: Midterm Exam 1 --------------------(on week 01 - week 06)
 Tr: 10/31:  
4.2: The Mean Value Theorem
4.3: Monotonic Functions and the First Derivative Test

Week 08:
 Mn: 11/04: Recitation (on homework 07).
 Tu: 11/05:
 Tr: 11/07: 
4.4: Concavity and Curve Sketching
4.5: Indeterminate Forms and L’Hôpital’s Rule
4.6: Applied Optimization

Week 09:
 Mn: 11/11: Recitation (on homework 08)
 Tu: 11/12: 
 Tr: 11/14: quiz 3 --------------------(on homework 07 - homework 08) 
4.7: Newton's Method
4.8: Antiderivatives

Week 10:
 Mn: 11/18: Recitation (on homework 09)
 Tu: 11/19: 
 Tr: 11/21: 
% 5.1: Area and Estimating with Finite Sums
5.2: Sigma Notation and Limits of Finite Sums
5.3: The Definite Integral
5.4: The Fundamental Theorem of Calculus

Week 11:
 Mn: 11/25: Recitation (on homework 10)
 Tu: 11/26:
 Tr: 11/28: quiz 4 --------------------(on homework 09 - homework 10) 
5.5: Indefinite Integrals and the Substitution Method
5.6: Substitution and Area Between Curves

Week 12:
 Mn: 12/02: Recitation (on homework 11)
 Tu: 12/03: 
 Tr: 12/05: 
6.1: Volumes Using Cross-Sections
6.2: Volumes Using Cylindrical Shells
6.3: Arc Length
6.4: Areas of Surfaces of Revolution

Week 13: 
 Mn: 12/09: Recitation (on homework 12)
 Tu: 12/10: Midterm Exam 2 -----------------------(week 07 - week 12)
 Tr: 12/12:      
% 7.1: The Logarithm Defined as an Integral
7.2 Exponential Change and Separable Differential Equations
7.3 Hyperbolic Functions

Week 14:
 Mn: 12/16: Recitation (on homework 13)
 Tu: 12/17:
 Tr: 12/19: 
7.4 Relative Rates of Growth
8.1: Integration by Parts
8.2: Trigonometric Integrals

Week 15:
 Mn: 12/23: Recitation (on homework 14)
 Tu: 12/24: 
 Tr: 12/26: quiz 5 --------------------(on homework 13 - homework 14) 
8.3: Trigonometric Substitutions
8.4: Integration of Rational Functions by Partial Fractions

Week 16:
 Mn: 12/30: Recitation (on homework 15)
 Tu: 12/31:  
 Tr: 01/02:
8.4: continued
8.7: Improper Integrals

Week 17:
 Tu: 01/06: Recitation (on homework 16)
 Tu: 01/07: Final class (early stop for final exam preparation)
 Tr: 01/09: No class. 
8.7: continued
(9.2: First-Order Linear Equations (postponed till next semester))

Week 18:
 Tu: 01/14: Final Exam ------------------(on week 13 - week 17)