MATH 131 - Calculus I - Spring, 1996
Tentative Outline
Jan 10: Functions: graphing and evaluation
Jan 12: Functions: graphing and evaluation
Jan 15: Average velocity and instantaneous velocity (2.1)
Jan 16: Slope of a curve and a formal definition of velocity (2.1)
Jan 17: Limit (2.1)
Jan 19: Derivative of a function at a point - graphically (2.2)
Jan 22: Derivative of a function at a point - numerically (2.2)
Jan 23: Derivative of a function at a point - algebraically (2.2)
Jan 24: Derivative of a function - numerically (2.3)
Jan 26: Derivative of a function - graphically (2.3)
Jan 29: Derivative of a function - algebraically (2.3)
Jan 30: Derivative - velocity, the second derivative - acceleration (2.4)
Jan 31: Hour Exam #1
Feb 2: Notations and units of the derivatives (2.4)
Feb 5: More on the second derivative (2.5)
Feb 6: More on the second derivative (2.5)
Feb 7: Linearization (2.6)
Feb 9: More on limits (2.7)
Feb 12: Continuity and differentiability (2.8)
Feb 14: Formulas for derivative functions (4.1)
Feb 16: Powers and polynomials (4.2)
Feb 19: The exponential function (4.3)
Feb 20: The product and quotient rules (4.4)
Feb 21: The chain rule (4.5)
Feb 23: No Class: Cadet Leadership Training Day
Feb 26: Hour Exam # 2
Feb 27: The chain rule (4.5)
Feb 28: (Mid-term) The trigonometric functions (4.6)
Mar 1: The trigonometric functions (4.6)
Mar 4: Applications of the chain rule (4.7)
Mar 5: Applications of the chain rule (4.7)
Mar 6: Implicit functions (4.8)
Mar 8: Implicit functions (4.8)
Mar 11: Notes on the tangent line approximations (4.9)
Mar 12: Using the first derivative (5.1)
Mar 13: Using the first derivative (5.1)
Mar 15: Using the second derivative (5.2)
Mar 18: Optimization (5.4)
Mar 19: Hour Exam # 3
Mar 20: Optimization (5.4)
Mar 21-27: Spring Break
Mar 29: Optimization (5.4)
Apr 1: Modeling (5.5)
Apr 2: Newton's Method (5.7)
Apr 3: How to measure distance traveled? (3.1)
Apr 5: How to measure distance traveled? (3.1)
Apr 8: The definite integral (3.2)
Apr 9: The definite integral (3.2)
Apr 10: The definite integral as area and average (3.3)
Apr 12: The definite integral as area and average (3.3)
Apr 15: The fundamental theorem of calculus (3.4)
Apr 16: The fundamental theorem of calculus (3.4)
Apr 17: Hour Exam # 4
Apr 19: Further notes on the limit (3.5)
Apr 22: Antiderivatives and Fundamental Theorem (7.1)
Apr 23: Antiderivatives and Fundamental Theorem (7.1)
Apr 24: Review
Apr 26: Review