INTRODUCTORY CALCULUS

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

SYLLABUS

  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

RESOURCES

LEARN page for the course
> MATH 104 - Fall 2025