Last update: Sep 01, 2025
Textbook: Thomas, Weir and Hass: Thomas's Calculus Early Transcendentals, 
13th edition in SI Units.

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: 7.3-7.4
       Chap 8: Techniques of Integration: 8.2-8.5, 8.8

Grading:
40% quiz (pick n-2 best from n quizzes) + attendance,
20% midterm I, 20% midterm II + 20% final exam.
Extra credits for significant contributions to the class (correcting mistakes, etc.).

Week 01: 
 Tu: 09/02: lecture 01 
 Tr: 09/02: No recitation this week
 Tu: 09/04: lecture 02 
2.2: Limit of a Function and Limit Laws
2.3: The Precise Definition of a Limit

Week 02: 
 Tu: 09/09: lecture 03 
 Tu: 09/09: Recitation on homework 01
 Tu: 09/11: lecture 04 + quiz 01 on homework 01 
2.4: One-Sided Limits
2.5: Continuity

Week 03: 
 Tu: 09/16: lecture 05
 Tu: 09/16: Recitation on homework 02
 Tr: 09/18: lecture 06 + quiz 02 on homework 02 
2.6: Limits Involving Infinity; Asymptotes of Graphs
3.2: The Derivative as a Function
3.3: Differentiation Rules

Week 04: 
 Tu: 09/23: lecture 07
 Tu: 09/23: Recitation on homework 03 
 Tr: 09/25: lecture 08 + quiz 03 on homework 03 
3.5: Derivatives of Trigonometric Functions
3.6: The Chain Rule.
3.7: Implicit Differentiation

Week 05: 
 Tu: 09/30: lecture 09 
 Tu: 09/30: Recitation on homework 04 
 Tr: 10/02: lecture 10 + quiz 04 on homework 04 
3.8: Derivatives of Inverse Functions and Logarithms
3.9: Inverse Trigonometric Functions

Week 06: 
 Tu: 10/07: lecture 11 
 Tu: 10/07: Recitation on homework 05 
 Tr: 10/09: Midterm 01 --------------- (lecture 01-10)
3.11: Linearization and differentials

Week 07:  
 Tu: 10/14: lecture 12  
 Tu: 10/14: Recitation on homework 06 
 Tr: 10/16: lecture 13  
4.1: Extreme Values of Functions
4.2: The Mean Value Theorem
4.3: Monotonic Functions and the First Derivative Test
4.4: Concavity and Curve Sketching

Week 08:
 Tu: 10/21: lecture 14  
 Tu: 10/21: Recitation on homework 07 
 Tr: 10/23: lecture 15 + quiz 05 on homework 06 07 
4.5: Indeterminate Forms and L’Hôpital’s Rule

Week 09:
 Tu: 10/28: lecture 16  
 Tu: 10/28: Recitation on homework 08 
 Tr: 10/30: lecture 17 + quiz 06 on homework 08 
4.6: Applied Optimization
4.8: Antiderivatives
5.2: Sigma Notation and Limits of Finite Sums
5.3: The Definite Integral

Week 10:
 Tu: 11/04: lecture 18  
 Tu: 11/04: Recitation on homework 09 
 Tr: 11/06: lecture 19 + quiz 07 on homework 09 
5.4: The Fundamental Theorem of Calculus
5.5: Indefinite Integrals and the Substitution Method
5.6: Definite Integral Substitutions and Area Between Curves

Week 11:
 Tu: 11/11: lecture 20  
 Tu: 11/11: Recitation on homework 10 
 Tr: 11/13: Midterm 01 --------------- (lecture 11-19)
6.1: Volumes Using Cross-Sections
6.2: Volumes Using Cylindrical Shells

Week 12:
 Tu: 11/18: lecture 21  
 Tu: 11/18: Recitation on homework 11 
 Tr: 11/20: lecture 22 
6.3: Arc Length
6.4: Area of Surface of Revolution
7.3: Hyperbolic Functions

Week 13:
 Tu: 11/25: lecture 23  
 Tu: 11/25: Recitation on homework 12 
 Tr: 11/27: lecture 24 + quiz 08 on homework 11 12 
7.4: Relative Rates of Growth
8.2: Integration by Parts

Week 14:
 Tu: 12/02: lecture 25  
 Tu: 12/02: Recitation on homework 13 
 Tr: 12/04: lecture 26 + quiz 09 on homework 13
8.3: Trigonometric Integrals
8.4: Trigonometric Substitutions

Week 15:
 Tu: 12/09: lecture 27  
 Tu: 12/09: Recitation on homework 14 
 Tr: 12/11: lecture 28 + quiz 10 on homework 14
8.5: Integration of Rational Functions by Partial Fractions
8.8: Improper Integrals

Week 16: 
 Tu: 12/16: No lectures today
 Tu: 12/16: Recitation on homework 15 
 Tr: 12/18: Final Exam --------------- (lecture 20-28)

% If time permits
% 7.2: Exponential Change and Separable Differential Equations
% 9.2: First-Order Linear Equations