Last update: Jan 05, 2016
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: 5-6 quizzes (pick n-1 best from n) 40%, midterm 1,2 and final exam, 
         about 20% each. 
Week 01: (No recitation this week) 
 Tu: 09/15: 
 Tr: 09/17: 
2.2: Limit of a Function and Limit Laws
2.3: The Precise Definition of a Limit

Week 02: 
 Tu: 09/22: 
 We: 09/23: Recitation (on homework 01)
 Tr: 09/24: 
2.4: One-Sided Limits
2.5: Continuity
2.6: Limits Involving Infinity; Asymptotes of Graphs

Week 03: 
 Tu: 09/29:    (class cancelled due to typhoon)  
 We: 09/30: Recitation (on homework 02)
 Tr: 10/01:
3.1: Tangents and the Derivative at a Point
3.2: The Derivative as a Function
3.3: Differentiation Rules

Week 04:
 Tu: 10/06: quiz 1 --------------------(on homework 01 - homework 02) 
 We: 10/07: Recitation (on homework 03)
 Tr: 10/08:  
3.5: Derivatives of Trigonometric Functions
3.6: The Chain Rule.
3.7: Implicit Differentiation

Week 05: 
 Tu: 10/13: 
 We: 10/14: Recitation (on homework 04) 
 Tr: 10/15: 
3.8: Derivatives of Inverse Functions and Logarithms
3.9: Inverse Trigonometric Functions

Week 06: 
 Tu: 10/20: quiz 2 --------------------(on homework 03 - homework 04) 
 We: 10/21: Recitation (on homework 05) 
 Tr: 10/22: extra recitation session 
3.11: Linearization and differentials

Week 07:  
 Tu: 10/27: Midterm Exam 1 --------------------(on week 01 - week 05)
 We: 10/28: 
 Tr: 10/29:  
4.1: Extreme Values of Functions

Week 08:
 Tu: 11/03:
 We: 11/04: Recitation (on homework 07).
 Tr: 11/05: 
4.2: The Mean Value Theorem
4.3: Monotonic Functions and the First Derivative Test
4.4: Concavity and Curve Sketching
4.5: Indeterminate Forms and L’Hôpital’s Rule

Week 09:
 Tu: 11/10: 
 We: 11/11: Recitation (on homework 08)
 Tr: 11/12: quiz 3 --------------------(on homework 07 - homework 08) 
4.6: Applied Optimization
4.7: Newton's Method

Week 10:
 Tu: 11/17: 
 We: 11/18: Recitation (on homework 09)
 Tr: 11/19: 
4.8: Antiderivatives
5.2: Sigma Notation and Limits of Finite Sums
5.3: The Definite Integral
5.4: The Fundamental Theorem of Calculus

Week 11:
 Tu: 11/24:
 We: 11/25: Recitation (on homework 10)
 Tr: 11/26: quiz 4 --------------------(on homework 09 - homework 10) 
5.5: Indefinite Integrals and the Substitution Method
5.6: Substitution and Area Between Curves

Week 12:
 Tu: 12/01: 
 We: 12/02: Recitation (on homework 11)
 Tr: 12/03: 
6.1: Volumes Using Cross-Sections

Week 13: No recitation this week 
 Tu: 12/08: Midterm Exam 2 -----------------------(week 06 - week 11)
 We: 12/09: 
 Tr: 12/10:     
6.2: Volumes Using Cylindrical Shells
6.3: Arc Length

Week 14:
 Tu: 12/15:
 We: 12/16: Recitation (on homework 13)
 Tr: 12/17: 
6.4: Areas of Surfaces of Revolution
7.2: Exponential Change and Separable Differential Equations
9.2: First-Order Linear Equations 

Week 15:
 Tu: 12/22: 
 We: 12/23: Recitation (on homework 14)
 Tr: 12/24:
7.3: Hyperbolic Functions
7.4: Relative Rates of Growth
8.1: Integration by Parts

Week 16: 
 Tu: 12/29:  quiz 5 --------------------(on homework 13 - homework 14) 
 We: 12/30: Recitation (on homework 15)
 Tr: 12/31:
8.2: Trigonometric Integrals
8.3: Trigonometric Substitutions

Week 17:
 Tu: 01/05:                            
 We: 01/06: Recitation (on homework 16)
 Tr: 01/07: 
8.4: Integration of Rational Functions by Partial Fractions
8.7: Improper Integrals (postponed till next semester)

Week 18:
 Tu: 01/12: Final Exam ------------------(on week 13 - week 16)