Last update: Nov 17, 2023
Textbook: Thomas, Weir and Hass: Thomas's Calculus Early Transcendentals, 
13th edition.

Course contents:
       Chap 2: Limits and continuity: 2.2-2.6
       Chap 3: Differentiation: 3.2-3.3, 3.5-3.9, 3.11
       Chap 4: Application of derivatives: 4.1-4.6, 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: 8.2-8.5, 8.8
       Chap 9: First-Order Differential Equations: 9.2

Week 01: 
 Tu: 09/12: lecture 01 
 Tr: 09/14: lecture 02 
 Tr: 09/14: Recitation on homework 01
2.2: Limit of a Function and Limit Laws
2.3: The Precise Definition of a Limit

Week 02: 
 Tu: 09/19: lecture 03 + quiz 01 on homework 01 
 Tr: 09/21: lecture 04 
 Tr: 09/21: Recitation on homework 02
2.4: One-Sided Limits
2.5: Continuity

Week 03: 
 Tu: 09/26: lecture 05 + quiz 02 on homework 02 
 Tr: 09/28: Teachers' day       ----- No class, no recitation
2.6: Limits Involving Infinity; Asymptotes of Graphs
3.2: The Derivative as a Function

Week 04: No quiz this week. 
 Tu: 10/03: lecture 06
 Tr: 10/05: lecture 07 -- cancelled due to weather condition  
 Tr: 10/05: Recitation on homework 03 -- cancelled due to weather condition  
3.2: The Derivative as a Function, continued
3.3: Differentiation Rules

Week 05: No quiz this week. 
 Tu: 10/10: National Day,       -----No class.
 Tr: 10/12: lecture 07 
 Tr: 10/12: Recitation on homework 03 
3.5: Derivatives of Trigonometric Functions
3.6: The Chain Rule.

Week 06: 
 Tu: 10/17: lecture 08 + quiz 03 on homework 03
 Tr: 10/19: lecture 09 + Recitation on homework 04 
 Tr: 10/19: Recitation on homework 05 
3.7: Implicit Differentiation
3.8: Derivatives of Inverse Functions and Logarithms

Week 07:  
 Tu: 10/24: Midterm 01 (lecture 01-08)
 Tr: 10/26: lecture 10  
 Tr: 10/26: Recitation 
3.9: Inverse Trigonometric Functions

Week 08:
 Tu: 10/31: lecture 11 + quiz 
 Tr: 11/02: lecture 12 
 Tr: 11/02: Recitation 
3.11: Linearization and differentials
4.1: Extreme Values of Functions
4.2: The Mean Value Theorem

Week 09:
 Tu: 11/07: lecture 13 + quiz 
 Tr: 11/09: lecture 14 
 Tr: 11/07: Recitation 
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 10:
 Tu: 11/14: lecture 15 + quiz
 Tr: 11/16: lecture 16 
 Tr: 11/16: Recitation 
4.5: continued
4.6: Applied Optimization

Week 11:
 Tu: 11/21: lecture 17 + quiz
 Tr: 11/23: lecture 18 
 Tr: 11/23: Recitation 
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 12:
 Tu: 11/28: lecture 19 + quiz
 Tr: 11/30: lecture 20 
 Tr: 11/30: Recitation 
5.5: Indefinite Integrals and the Substitution Method
5.6: Definite Integral Substitutions and Area Between Curves

Week 13:
 Tu: 12/05: Midterm Exam 2 -----------------------
 Tr: 12/07: lecture 21 
 Tr: 12/07: Recitation
6.1: Volumes Using Cross-Sections
6.2: Volumes Using Cylindrical Shells

Week 13:
 Tu: 12/12: lecture 22 
 Tu: 12/14: lecture 23
6.3: Arc Length
6.4: Area of Surface of Revolution
7.2: Exponential Change and Separable Differential Equations

Week 15:
 Tu: 12/19: lecture 24 + quiz
 Tr: 12/21: lecture 25
 Tr: 12/21: Recitation 
9.2: First-Order Linear Equations
7.3: Hyperbolic Functions
7.4: Relative Rates of Growth

Week 16: 
 Tu: 12/26: lecture 26 + quiz
 Tr: 12/28: lecture 27
 Tr: 12/28: Recitation 
8.2: Integration by Parts
8.3: Trigonometric Integrals
8.4: Trigonometric Substitutions

Week 17:
 Tu: 01/02: lecture 28 + quiz
 Tr: 01/04: Recitation 
8.5: Integration of Rational Functions by Partial Fractions
8.8: Improper Integrals

Week 18:
 Tu: 01/09: Final Exam ------------------------