Professor: Leonardo Colò
Program: Arts and Social Science
Course code: MATH 104
Sections: 001, 101, 201
Workload: Sept-Dec 2025 (12 weeks)
Class Schedule: MWF 14h30 - 15h30 in MC4059

1. Prerequisite Skills (1 week):
   • - Algebraic Techniques
     - Functions and Graphs
     - Polynomial Functions
     - Rational Functions
     - Other Functions
2. Limits and Continuity (2 weeks):
   • - Limits From Graphs
     - Limit Laws
     - Building Continuous Functions
     - Limits at Infinity
     - Indeterminate Forms
3. Derivatives (2 weeks):
   • - Rate Of Change
     - The Definition of the Derivative
     - Techniques of Differentiation
     - Tangent Lines
     - Implicit Differentiation
     - Exponential and Logarithmic Functions
4. Applications of the Derivative (3 weeks):
   • - The First Derivative
     - The Second Derivative
     - Graphing Functions
     - Optimization
     - Rates of Change
     - Related Rates
     - Linear Approximations
5. Integrals (3 weeks):
   • - Antiderivatives
     - Integration and the Indefinite Integral
     - The Definite Integral
     - Area
     - Rates of Change
     - Business Applications of Integrals
     - Probability
     - Average Value and Length of a Curve
6. Introduction to differential equations (1 week):
   • - Population Growth
     - Radioactive Decay
     - Newton’s Law of Cooling