MATH 145 - Calculus I (Fall 2025)

Course Information

• Syllabus
• Tentative Schedule

Lecture Slides

• Lecture #1: Models and Functions; Rates of Change (PDF Version).
• Lecture #2: Linear Functions, Quadratic Functions, Compositions (PDF Version).
• Lecture #3: Transforming and Combining Functions (PDF Version).
• Lecture #4: Functions of Several Variables (PDF Version).
• Lecture #5: Limits and Velocity (PDF Version).
• Lecture #6: The Derivative at a Point & Interpretations (PDF Version).
• Lecture #7: The Derivative Function & Interpretations (PDF Version).
• Lecture #8: Second Derivative, Differentiable Functions & Limits Revisited (PDF Version).
• Lecture #9: Rules of Differentiation (PDF Version).
• Lecture #10: Partial Derivatives (PDF Version).
• Lecture #11: Tangent Line Approximation & Newton’s Method (PDF Version).
• Lecture #12: The Chain Rule (PDF Version).
• Lecture #13: Implicit Differentiation (PDF Version).
• Lecture #14: Exponential Functions and Their Derivatives (PDF Version).
• Lecture #15: Logarithms: Properties, Applications & Derivatives (PDF Version).
• Lecture #16: Trigonometric Functions and their Derivatives (PDF Version).
• Lecture #17: Inverse Functions & More Logarithmic Derivatives (PDF Version).
• Lecture #18: Extrema and Graphs of Functions (PDF Version).
• Lecture #19: Optimization and Applications (PDF Version).
• Lecture #20: Optimization of Multivariable Functions (PDF Version).
• Lecture #21: Antiderivatives & Differential Equations (PDF Version).
• Lecture #22: Riemann Sums & Definite Integrals (PDF Version).
• Lecture #23: The Fundamental Theorem of Calculus (PDF Version).
• Lecture #24: Integration by Substitution (PDF Version).
• Lecture #25: Double and Iterated Integrals (PDF Version).