Andrei Straumanis has a B.A. in Chemistry from Oberlin College and a PhD in organic chemistry from Stanford University. During a three-year NSF-supported post-doctoral fellowship in SMET education, Dr. Straumanis developed and tested materials for guided inquiry organic chemistry. Since 1997, he has given numerous talks and workshops on active learning in organic chemistry and the use of guided inquiry in large classrooms.
F1: Review of Functions F2: Characteristics of Functions F3: Compositions of Functions
Limits
L1: Limit of a Function L2: Limit Laws L3: Precise Definition of a Limit L4: Continuity
Derivatives
D1: Velocity, Introduction to Derivatives D2: Derivative at a Point D3: Derivative as a Function7 D4: Differentiability D5: Second Derivative
Differentiation Techniques
DT1: Power, Constant Multiple, Sum and Difference Rules DT2: Product and Quotient Rules DT3: Derivatives of Exponential and Logarithm Functions DT4 Pre-Activity: Review of Trigonometry (optional) DT4: Derivatives of Trigonometric Functions DT5 Pre-Activity: Review of Compositions (prerequisite for DT5) DT5: The Chain Rule DT6: Derivatives of Inverse Functions DT7: Implicit Differentiation
Differentiation Applications
DA1: Related Rates DA2: Linear Approximation DA3: Mean Value Theorem DA4: Maximum and Minimum Values DA6: Optimization
Integration
I1: Area and Distance I2: Riemann Sums I3: Definite Integrals I4: Fundamental Theorem of Calculus I5: Antiderivatives and the Fundamental Theorem of Calculus I6: Indefinite Integrals
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