MAT 1500 Calculus I (for science and engineering)

Textbook:
James Stewart: Calculus, Early Trancendentals (1999)
First Four Chapters (Functions, Differentiation, and Applications of Differentiation)

Maple worksheets corresponding to examples in Stewart's textbook

• 0. Preview of Calculus
• 1. Functions and Models
  • 1.1 Four ways to Represent a Function
  • 1.2 Mathematical Models
  • 1.3 New Functions from Old Functions
  • 1.4 Graphing Calculators and Computers
  • 1.5 Exponential Functions
  • 1.6 Inverse Functions and Logarithms
• 2. Limits and Derivatives
  • 2.1 The Tangent and Velocity Problems
  • 2.2 The Limit of a Function
  • 2.3 Calculating Limits Using the Limit Laws
  • 2.5 Continuity
  • 2.6 Limits at Infinity; Horizontal Asymptotes
  • 2.7 Tangents, Velocities, and Other Rates of Change
  • 2.8 Derivatives
  • 2.9 The Derivative as a Function
• 3. Differentiation Rules
  • 3.1 Derivatives of Polynomials and Exponential Functions
  • 3.2 The Product and Quotient Rules
  • 3.3 Rates of Change in the Natural and Social Sciences
  • 3.4 Derivatives of Trigonometric Functions
  • 3.5 The Chain Rule
  • 3.6 Implicit Differentiation
  • 3.7 Higher Derivatives of Logarithmic Functions
  • 3.8 Derivatives of Logarithmic Functions
  • 3.10 Related Rates
  • 3.11 Linear Approximations and Differentials
• 4. Applications of Differentiation
  • 4.1 Maximum and Minimum Values
  • 4.2 The Mean Value Theorem
  • 4.3 How Derivatives Affect the Shape of a Graph
  • 4.4 Indeterminate Forms and L'Hopital's Rule
  • 4.5 Summary of Curve Sketching
  • 4.6 Graphing with Calculus and Calculators
  • 4.7 Optimization Problems
  • 4.9 Newton's Method
  • 4.10 Antiderivatives

MAPLE Supplementary Text:
D. Barrow et al, CalcLabs with MAPLE for Stewart's Calculus, Single Variable (1999)

Also available (ask your instructor or go to the website):

• Student Solution Manual (all odd problems worked)
• Student Study Guide (more examples, key points)

Return to MAT1500 home page