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Class #1 -
Class #6
Class
#7-Class #12
Class #13-Class #19
Class #20-Class #28
Class #29-Class #34
Class #35-Class #41
Class Notes are posted here without video links, due to the large size of video files. Class notes including video links are distributed on CD's.Class Notes
Class Notes are posted here without video links, due to the large size of video files. Class notes including video links are distributed on CD's.Class Notes #1-#6: Basic Concepts of Calculus in a Modeling Context
#01: Quadratic Model of Depth vs. Time for water flowing from a uniform cylinder.
#02: Rates of change for the depth vs. time model.
#03: The Rate of Change of a Quadratic Depth Function: Differentiation and Integration
#04: The Concepts of Differentiation and Integration in the Context of Rate Functions
#05: Growth of an Exponential Function; Trapezoidal Representation of Approximate Derivatives and Integrals
#06: Project #3; Derivative of y = a x^3; The Differential
Linked Outline of Introductory Topics through 9/04/98: Study these for the upcoming 9/13/98 major quiz
Class Notes #7-#12: More Basic Concepts, Review of Selected Precalculus Topics
#07: The Differential; Tangent Line Approximation to Differential
#08: Text problems; First Introduction to Differential Equations
#09: Text problems; Introduction to Natural Logarithms and Composite Functions; Numerical Solution of Differential Equations
#10: Predictor-corrector methods; Sine and Cosine functions
#11: Trigonometric Functions; Brief Intro. to Polynomials
#12: Rational Functions, Continuity
Class Notes #13-#19: The Derivative
#13: The Derivative (Text 2.1, 2.2)
#14: The Derivative Function
#15: Interpretation of the Derivative; the Second Derivative
#16: Second Derivative; Definite Integral
#17: Using DERIVE for integrals and Riemann sums
#18: The Fundamental Theorem of Calculus
#19: Review Notes for Test
Class Notes #20-28: Fundamental Theorem; Derivatives
#20: The Fundamental Theorem of Calculus; Derivatives of Polynomials
#21: The Fundamental Theorem of Calculus; Derivatives of Polynomials
#22: Product and Quotient Rules
#23: The Chain Rule
#24: The John Glenn Launch: A review of proportionality and integration; Trigonometric Functions
#25: Trigonometric Functions; Applications of Chain Rule; Inverse Functions
#26: Inverse Functions; Chain Rule; Implicit Differentiation
#27: Implicit Differentiation; Tangent Line Approximation; l'Hopital's Rules
#28: Implicit Differentiation; Maxima, Minima and Inflection Points
Class Notes #29-#34: Applications of the Derivative
#29: Local Maxima and Minima; Families of Functions
#30: Families of Functions; Optimization
#31: Optimization
#32: Optimization; Completeness Axiom; Limits
#33: Limits, Differentiability, Review
#34: Test Review (includes practice test)
Class Notes #35-#41: Review and Final Topics
#35: Class Review (continued)
#36: Marginality
#37: Modeling
#38: Modeling; Introduction to Hyperbolic Functions
#39: Hyperbolic Functions, Differentiability
#40: Review I. Click also for Differentiability II.
#41: Review II